diff --git a/AUTHORS b/AUTHORS index 490901e28af..33db07fe687 100644 --- a/AUTHORS +++ b/AUTHORS @@ -13,6 +13,7 @@ Rich Elmes The Emu (J Riley Hill) EvilDragon Nathan Kopp +Jacky Ligon Erik-Jan Maalderink Kjetil Matheussen Dave Palmer diff --git a/resources/data/tuning-library/KBM Concert Pitch/60-262-60 Concert C.kbm b/resources/data/tuning-library/KBM Concert Pitch/60-262-60 Concert C.kbm new file mode 100644 index 00000000000..6fdd5d83eb8 --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/60-262-60 Concert C.kbm @@ -0,0 +1,17 @@ +! 60-262-60 Concert C.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +60 +! Reference note for which frequency is given: +60 +! Frequency to tune the above note to (floating point e.g. 440.0): +261.625565 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/60-440-69 Concert A C.kbm b/resources/data/tuning-library/KBM Concert Pitch/60-440-69 Concert A C.kbm new file mode 100644 index 00000000000..047b2a976ca --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/60-440-69 Concert A C.kbm @@ -0,0 +1,17 @@ +! 69-440-69 Concert A.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +60 +! Reference note for which frequency is given: +69 +! Frequency to tune the above note to (floating point e.g. 440.0): +440.000000 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/61-277-61 Concert C#, Db.kbm b/resources/data/tuning-library/KBM Concert Pitch/61-277-61 Concert C#, Db.kbm new file mode 100644 index 00000000000..0906dfd896d --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/61-277-61 Concert C#, Db.kbm @@ -0,0 +1,17 @@ +! 61-277-61 Concert C#, Db.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +61 +! Reference note for which frequency is given: +61 +! Frequency to tune the above note to (floating point e.g. 440.0): +277.182631 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/62-294-62 Concert D.kbm b/resources/data/tuning-library/KBM Concert Pitch/62-294-62 Concert D.kbm new file mode 100644 index 00000000000..2f23bf685db --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/62-294-62 Concert D.kbm @@ -0,0 +1,17 @@ +! 62-294-62 Concert D.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +62 +! Reference note for which frequency is given: +62 +! Frequency to tune the above note to (floating point e.g. 440.0): +293.664768 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/63-311-63 Concert D#, Eb.kbm b/resources/data/tuning-library/KBM Concert Pitch/63-311-63 Concert D#, Eb.kbm new file mode 100644 index 00000000000..fd428ac1201 --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/63-311-63 Concert D#, Eb.kbm @@ -0,0 +1,17 @@ +! 63-311-63 Concert D#, Eb.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +63 +! Reference note for which frequency is given: +63 +! Frequency to tune the above note to (floating point e.g. 440.0): +311.126984 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/64-330-64 Concert E.kbm b/resources/data/tuning-library/KBM Concert Pitch/64-330-64 Concert E.kbm new file mode 100644 index 00000000000..d83d357a465 --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/64-330-64 Concert E.kbm @@ -0,0 +1,17 @@ +! 64-330-64 Concert E.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +64 +! Reference note for which frequency is given: +64 +! Frequency to tune the above note to (floating point e.g. 440.0): +329.627557 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/65-349-65 Concert F.kbm b/resources/data/tuning-library/KBM Concert Pitch/65-349-65 Concert F.kbm new file mode 100644 index 00000000000..c34d9a5900d --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/65-349-65 Concert F.kbm @@ -0,0 +1,17 @@ +! 65-349-65 Concert F.kbm +! 65-349-65 Concert F +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +65 +! Reference note for which frequency is given: +65 +! Frequency to tune the above note to (floating point e.g. 440.0): +349.228231 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/66-370-66 Concert F#, Gb.kbm b/resources/data/tuning-library/KBM Concert Pitch/66-370-66 Concert F#, Gb.kbm new file mode 100644 index 00000000000..a4a4d12b999 --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/66-370-66 Concert F#, Gb.kbm @@ -0,0 +1,17 @@ +! 66-370-66 Concert F#, Gb.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +66 +! Reference note for which frequency is given: +66 +! Frequency to tune the above note to (floating point e.g. 440.0): +369.994423 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/67-392-67 Concert G.kbm b/resources/data/tuning-library/KBM Concert Pitch/67-392-67 Concert G.kbm new file mode 100644 index 00000000000..567fc675978 --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/67-392-67 Concert G.kbm @@ -0,0 +1,17 @@ +! 67-392-67 Concert G.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +67 +! Reference note for which frequency is given: +67 +! Frequency to tune the above note to (floating point e.g. 440.0): +391.995436 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/68-415-68 Concert G#, Ab.kbm b/resources/data/tuning-library/KBM Concert Pitch/68-415-68 Concert G#, Ab.kbm new file mode 100644 index 00000000000..49294eed9af --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/68-415-68 Concert G#, Ab.kbm @@ -0,0 +1,17 @@ +! 68-415-68 Concert G#, Ab.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +68 +! Reference note for which frequency is given: +68 +! Frequency to tune the above note to (floating point e.g. 440.0): +415.304698 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/69-440-69 Concert A.kbm b/resources/data/tuning-library/KBM Concert Pitch/69-440-69 Concert A.kbm new file mode 100644 index 00000000000..49a646a7299 --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/69-440-69 Concert A.kbm @@ -0,0 +1,17 @@ +! 69-440-69 Concert A.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +69 +! Reference note for which frequency is given: +69 +! Frequency to tune the above note to (floating point e.g. 440.0): +440.000000 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/70-466-70 Concert A#, Bb.kbm b/resources/data/tuning-library/KBM Concert Pitch/70-466-70 Concert A#, Bb.kbm new file mode 100644 index 00000000000..da26ff73991 --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/70-466-70 Concert A#, Bb.kbm @@ -0,0 +1,17 @@ +! 70-466-70 Concert A#, Bb.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +70 +! Reference note for which frequency is given: +70 +! Frequency to tune the above note to (floating point e.g. 440.0): +466.163762 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/71-494-71 Concert B.kbm b/resources/data/tuning-library/KBM Concert Pitch/71-494-71 Concert B.kbm new file mode 100644 index 00000000000..1ddc3ee12bb --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/71-494-71 Concert B.kbm @@ -0,0 +1,17 @@ +! 71-494-71 Concert B.kbm +! +! Size of map: +0 +! First MIDI note number to retune: +0 +! Last MIDI note number to retune: +127 +! Middle note where the first entry in the mapping is mapped to: +71 +! Reference note for which frequency is given: +71 +! Frequency to tune the above note to (floating point e.g. 440.0): +493.883301 +! Scale degree to consider as formal octave: +0 +! Mapping. diff --git a/resources/data/tuning-library/KBM Concert Pitch/KBM Notes.txt b/resources/data/tuning-library/KBM Concert Pitch/KBM Notes.txt new file mode 100644 index 00000000000..44b038f1b18 --- /dev/null +++ b/resources/data/tuning-library/KBM Concert Pitch/KBM Notes.txt @@ -0,0 +1,37 @@ +This archive contains a collection of basic linear keyboard mapping files (KBM) that may be used in virtual-instruments that support loading both the Scala SCL and KBM microtuning format files, such as Pianoteq, as well as for creating custom microtuning mappings within the Scala application itself for exporting to other popular formats, such as TUN, MTS and KSP. + +This small linear KBM collection may be used for mapping the starting 1/1 MIDI Note, as well as the Reference Frequency MIDI Note, to the standard concert-pitch chromatic notes. + +The file naming convention indicates: + +The 1/1 starting MIDI Note for the mapping. + +The rounded Reference Frequency. + +The mapping for the Reference Frequency MIDI Note. + +The standard letter format concert-pitch chromatic scale degree. + + +For example: 60-262-60 Concert C, indicates at a glance that: + +The 1/1 of the microtuning will be mapped to MIDI Note 60. + +The Reference Frequency is 262 Hz. + +The MIDI Note on which the Reference Frequency is mapped is 60. + + +*** Please note here that the KBM format is flexible enough that the above parameters can be arbitrarily and independently mapped, such that for instance, a microtuning could have its diapason mapped to the standard concert-pitch of MIDI Note A.69 @ 440 Hz, while the 1/1 starting note could be mapped on 60.C, or any other MIDI Note required of the musical scenario at hand. Such a mapping would look like this: + +60-440-69.kbm +| +Range : 0.C .. 127.G +Middle : 60.C +Reference : 440.000000 Hertz at note 69.A +Octave degree : 0 (highest degree of scale) +Mapping : linear + +This potential for arbitrary mapping of pitches to MIDI Notes, is the very nature and definition of what's referred to as 'full keyboard microtuning'. + +Jacky Ligon diff --git a/resources/data/tuning-library/README.txt b/resources/data/tuning-library/README.txt new file mode 100644 index 00000000000..a1801e3de72 --- /dev/null +++ b/resources/data/tuning-library/README.txt @@ -0,0 +1,13 @@ +This is a collection of SCL and KBM files provided by Surge Contributor Jacky Ligon +as we were developing and testing the SCL/KBM implementation around the 1.6.5 release. +It contains a variety of tuning and mapping files for your enjoyment. + +To apply a tuning or mapping, either load them with the "tuning" menu or drag and drop +an .scl or .kbm file onto the "tun" glyph next to the patch menu bar. + +There are many more SCL files available on the internet, as well as a variety of tools +to edit and make scales. If you are reading this you probably already know that of course, +but http://www.huygens-fokker.org/ is a great resource. + +Enjoy! + diff --git a/resources/data/tuning-library/SCL/12 Tone Equal Temperament.scl b/resources/data/tuning-library/SCL/12 Tone Equal Temperament.scl new file mode 100644 index 00000000000..2029d6a3eed --- /dev/null +++ b/resources/data/tuning-library/SCL/12 Tone Equal Temperament.scl @@ -0,0 +1,17 @@ +! D:\12 Tone Equal Temperament.scl +! +12 Tone Equal Temperament | ED2-12 - Equal division of harmonic 2 into 12 parts + 12 +! + 100.00000 + 200.00000 + 300.00000 + 400.00000 + 500.00000 + 600.00000 + 700.00000 + 800.00000 + 900.00000 + 1000.00000 + 1100.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/Bohlen-Pierce.scl b/resources/data/tuning-library/SCL/Bohlen-Pierce.scl new file mode 100644 index 00000000000..851b45aff75 --- /dev/null +++ b/resources/data/tuning-library/SCL/Bohlen-Pierce.scl @@ -0,0 +1,18 @@ +! D:\Scala Batch\Bohlen-Pierce.scl +! +Bohlen-Pierce: ED3-13 - Equal division of harmonic 3 into 13 parts + 13 +! + 146.30423 + 292.60846 + 438.91269 + 585.21692 + 731.52115 + 877.82539 + 1024.12962 + 1170.43385 + 1316.73808 + 1463.04231 + 1609.34654 + 1755.65077 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED2-05.scl b/resources/data/tuning-library/SCL/ED2-05.scl new file mode 100644 index 00000000000..ca436e093d8 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-05.scl @@ -0,0 +1,10 @@ +! D:\Scala Batch\ED2\ED2-05.scl +! +ED2-05 - Equal division of harmonic 2 into 5 parts + 5 +! + 240.00000 + 480.00000 + 720.00000 + 960.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-06.scl b/resources/data/tuning-library/SCL/ED2-06.scl new file mode 100644 index 00000000000..bf7e7369beb --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-06.scl @@ -0,0 +1,11 @@ +! D:\Scala Batch\ED2-06.scl +! +ED2-06 - Equal division of harmonic 2 into 6 parts + 6 +! + 200.00000 + 400.00000 + 600.00000 + 800.00000 + 1000.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-07.scl b/resources/data/tuning-library/SCL/ED2-07.scl new file mode 100644 index 00000000000..7e9ddf5fd2c --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-07.scl @@ -0,0 +1,12 @@ +! D:\Scala Batch\ED2-07.scl +! +ED2-07 - Equal division of harmonic 2 into 7 parts + 7 +! + 171.42857 + 342.85714 + 514.28571 + 685.71429 + 857.14286 + 1028.57143 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-08.scl b/resources/data/tuning-library/SCL/ED2-08.scl new file mode 100644 index 00000000000..228f6fddb33 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-08.scl @@ -0,0 +1,13 @@ +! D:\Scala Batch\ED2-08.scl +! +ED2-08 - Equal division of harmonic 2 into 8 parts + 8 +! + 150.00000 + 300.00000 + 450.00000 + 600.00000 + 750.00000 + 900.00000 + 1050.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-09.scl b/resources/data/tuning-library/SCL/ED2-09.scl new file mode 100644 index 00000000000..8741a23fa98 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-09.scl @@ -0,0 +1,14 @@ +! D:\Scala Batch\ED2-09.scl +! +ED2-09 - Equal division of harmonic 2 into 9 parts + 9 +! + 133.33333 + 266.66667 + 400.00000 + 533.33333 + 666.66667 + 800.00000 + 933.33333 + 1066.66667 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-10.scl b/resources/data/tuning-library/SCL/ED2-10.scl new file mode 100644 index 00000000000..7d508bb0052 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-10.scl @@ -0,0 +1,15 @@ +! D:\Scala Batch\ED2-10.scl +! +ED2-10 - Equal division of harmonic 2 into 10 parts + 10 +! + 120.00000 + 240.00000 + 360.00000 + 480.00000 + 600.00000 + 720.00000 + 840.00000 + 960.00000 + 1080.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-11.scl b/resources/data/tuning-library/SCL/ED2-11.scl new file mode 100644 index 00000000000..70d80fe0df4 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-11.scl @@ -0,0 +1,16 @@ +! D:\Scala Batch\ED2-11 .scl +! +ED2-11 - Equal division of harmonic 2 into 11 parts + 11 +! + 109.09091 + 218.18182 + 327.27273 + 436.36364 + 545.45455 + 654.54545 + 763.63636 + 872.72727 + 981.81818 + 1090.90909 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-12.scl b/resources/data/tuning-library/SCL/ED2-12.scl new file mode 100644 index 00000000000..02deb90e3f2 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-12.scl @@ -0,0 +1,17 @@ +! D:\Scala Batch\ED2-12.scl +! +ED2-12 - Equal division of harmonic 2 into 12 parts + 12 +! + 100.00000 + 200.00000 + 300.00000 + 400.00000 + 500.00000 + 600.00000 + 700.00000 + 800.00000 + 900.00000 + 1000.00000 + 1100.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-13.scl b/resources/data/tuning-library/SCL/ED2-13.scl new file mode 100644 index 00000000000..8b407c62a7d --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-13.scl @@ -0,0 +1,18 @@ +! D:\Scala Batch\ED2-13.scl +! +ED2-13 - Equal division of harmonic 2 into 13 parts + 13 +! + 92.30769 + 184.61538 + 276.92308 + 369.23077 + 461.53846 + 553.84615 + 646.15385 + 738.46154 + 830.76923 + 923.07692 + 1015.38462 + 1107.69231 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-14.scl b/resources/data/tuning-library/SCL/ED2-14.scl new file mode 100644 index 00000000000..a60f8a5ee22 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-14.scl @@ -0,0 +1,19 @@ +! D:\Scala Batch\ED2-14.scl +! +ED2-14 - Equal division of harmonic 2 into 14 parts + 14 +! + 85.71429 + 171.42857 + 257.14286 + 342.85714 + 428.57143 + 514.28571 + 600.00000 + 685.71429 + 771.42857 + 857.14286 + 942.85714 + 1028.57143 + 1114.28571 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-15.scl b/resources/data/tuning-library/SCL/ED2-15.scl new file mode 100644 index 00000000000..fa9f55e21aa --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-15.scl @@ -0,0 +1,20 @@ +! D:\Scala Batch\ED2-15.scl +! +ED2-15 - Equal division of harmonic 2 into 15 parts + 15 +! + 80.00000 + 160.00000 + 240.00000 + 320.00000 + 400.00000 + 480.00000 + 560.00000 + 640.00000 + 720.00000 + 800.00000 + 880.00000 + 960.00000 + 1040.00000 + 1120.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-16.scl b/resources/data/tuning-library/SCL/ED2-16.scl new file mode 100644 index 00000000000..c308b15b900 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-16.scl @@ -0,0 +1,21 @@ +! D:\Scala Batch\ED2-16.scl +! +ED2-16 - Equal division of harmonic 2 into 16 parts + 16 +! + 75.00000 + 150.00000 + 225.00000 + 300.00000 + 375.00000 + 450.00000 + 525.00000 + 600.00000 + 675.00000 + 750.00000 + 825.00000 + 900.00000 + 975.00000 + 1050.00000 + 1125.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-17.scl b/resources/data/tuning-library/SCL/ED2-17.scl new file mode 100644 index 00000000000..196b35cb888 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-17.scl @@ -0,0 +1,22 @@ +! D:\Scala Batch\ED2-17.scl +! +ED2-17 - Equal division of harmonic 2 into 17 parts + 17 +! + 70.58824 + 141.17647 + 211.76471 + 282.35294 + 352.94118 + 423.52941 + 494.11765 + 564.70588 + 635.29412 + 705.88235 + 776.47059 + 847.05882 + 917.64706 + 988.23529 + 1058.82353 + 1129.41176 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-18.scl b/resources/data/tuning-library/SCL/ED2-18.scl new file mode 100644 index 00000000000..c9f2b69234f --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-18.scl @@ -0,0 +1,23 @@ +! D:\Scala Batch\ED2-18.scl +! +ED2-18 - Equal division of harmonic 2 into 18 parts + 18 +! + 66.66667 + 133.33333 + 200.00000 + 266.66667 + 333.33333 + 400.00000 + 466.66667 + 533.33333 + 600.00000 + 666.66667 + 733.33333 + 800.00000 + 866.66667 + 933.33333 + 1000.00000 + 1066.66667 + 1133.33333 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-19.scl b/resources/data/tuning-library/SCL/ED2-19.scl new file mode 100644 index 00000000000..a5ec0f2300a --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-19.scl @@ -0,0 +1,24 @@ +! D:\Scala Batch\ED2-19.scl +! +ED2-19 - Equal division of harmonic 2 into 19 parts + 19 +! + 63.15789 + 126.31579 + 189.47368 + 252.63158 + 315.78947 + 378.94737 + 442.10526 + 505.26316 + 568.42105 + 631.57895 + 694.73684 + 757.89474 + 821.05263 + 884.21053 + 947.36842 + 1010.52632 + 1073.68421 + 1136.84211 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-20.scl b/resources/data/tuning-library/SCL/ED2-20.scl new file mode 100644 index 00000000000..31f62b9a763 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-20.scl @@ -0,0 +1,25 @@ +! D:\Scala Batch\ED2-20.scl +! +ED2-20 - Equal division of harmonic 2 into 20 parts + 20 +! + 60.00000 + 120.00000 + 180.00000 + 240.00000 + 300.00000 + 360.00000 + 420.00000 + 480.00000 + 540.00000 + 600.00000 + 660.00000 + 720.00000 + 780.00000 + 840.00000 + 900.00000 + 960.00000 + 1020.00000 + 1080.00000 + 1140.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-21.scl b/resources/data/tuning-library/SCL/ED2-21.scl new file mode 100644 index 00000000000..ab9edd617bb --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-21.scl @@ -0,0 +1,26 @@ +! D:\Scala Batch\ED2-21.scl +! +ED2-21 - Equal division of harmonic 2 into 21 parts + 21 +! + 57.14286 + 114.28571 + 171.42857 + 228.57143 + 285.71429 + 342.85714 + 400.00000 + 457.14286 + 514.28571 + 571.42857 + 628.57143 + 685.71429 + 742.85714 + 800.00000 + 857.14286 + 914.28571 + 971.42857 + 1028.57143 + 1085.71429 + 1142.85714 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-22.scl b/resources/data/tuning-library/SCL/ED2-22.scl new file mode 100644 index 00000000000..94d0c892dd7 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-22.scl @@ -0,0 +1,27 @@ +! D:\Scala Batch\ED2-22.scl +! +ED2-22 - Equal division of harmonic 2 into 22 parts + 22 +! + 54.54545 + 109.09091 + 163.63636 + 218.18182 + 272.72727 + 327.27273 + 381.81818 + 436.36364 + 490.90909 + 545.45455 + 600.00000 + 654.54545 + 709.09091 + 763.63636 + 818.18182 + 872.72727 + 927.27273 + 981.81818 + 1036.36364 + 1090.90909 + 1145.45455 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-23.scl b/resources/data/tuning-library/SCL/ED2-23.scl new file mode 100644 index 00000000000..f74377e3f3b --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-23.scl @@ -0,0 +1,28 @@ +! D:\Scala Batch\ED2-23.scl +! +ED2-23 - Equal division of harmonic 2 into 23 parts + 23 +! + 52.17391 + 104.34783 + 156.52174 + 208.69565 + 260.86957 + 313.04348 + 365.21739 + 417.39130 + 469.56522 + 521.73913 + 573.91304 + 626.08696 + 678.26087 + 730.43478 + 782.60870 + 834.78261 + 886.95652 + 939.13043 + 991.30435 + 1043.47826 + 1095.65217 + 1147.82609 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-24.scl b/resources/data/tuning-library/SCL/ED2-24.scl new file mode 100644 index 00000000000..3c688fb48db --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-24.scl @@ -0,0 +1,29 @@ +! D:\Scala Batch\ED2-24.scl +! +ED2-24 - Equal division of harmonic 2 into 24 parts + 24 +! + 50.00000 + 100.00000 + 150.00000 + 200.00000 + 250.00000 + 300.00000 + 350.00000 + 400.00000 + 450.00000 + 500.00000 + 550.00000 + 600.00000 + 650.00000 + 700.00000 + 750.00000 + 800.00000 + 850.00000 + 900.00000 + 950.00000 + 1000.00000 + 1050.00000 + 1100.00000 + 1150.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-25.scl b/resources/data/tuning-library/SCL/ED2-25.scl new file mode 100644 index 00000000000..a9fe0f5e924 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-25.scl @@ -0,0 +1,30 @@ +! D:\Scala Batch\ED2-25.scl +! +ED2-25 - Equal division of harmonic 2 into 25 parts + 25 +! + 48.00000 + 96.00000 + 144.00000 + 192.00000 + 240.00000 + 288.00000 + 336.00000 + 384.00000 + 432.00000 + 480.00000 + 528.00000 + 576.00000 + 624.00000 + 672.00000 + 720.00000 + 768.00000 + 816.00000 + 864.00000 + 912.00000 + 960.00000 + 1008.00000 + 1056.00000 + 1104.00000 + 1152.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-26.scl b/resources/data/tuning-library/SCL/ED2-26.scl new file mode 100644 index 00000000000..a1b493abf37 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-26.scl @@ -0,0 +1,31 @@ +! D:\Scala Batch\ED2-26.scl +! +ED2-26 - Equal division of harmonic 2 into 26 parts + 26 +! + 46.15385 + 92.30769 + 138.46154 + 184.61538 + 230.76923 + 276.92308 + 323.07692 + 369.23077 + 415.38462 + 461.53846 + 507.69231 + 553.84615 + 600.00000 + 646.15385 + 692.30769 + 738.46154 + 784.61538 + 830.76923 + 876.92308 + 923.07692 + 969.23077 + 1015.38462 + 1061.53846 + 1107.69231 + 1153.84615 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-27.scl b/resources/data/tuning-library/SCL/ED2-27.scl new file mode 100644 index 00000000000..df9b499f610 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-27.scl @@ -0,0 +1,32 @@ +! D:\Scala Batch\ED2-27.scl +! +ED2-27 - Equal division of harmonic 2 into 27 parts + 27 +! + 44.44444 + 88.88889 + 133.33333 + 177.77778 + 222.22222 + 266.66667 + 311.11111 + 355.55556 + 400.00000 + 444.44444 + 488.88889 + 533.33333 + 577.77778 + 622.22222 + 666.66667 + 711.11111 + 755.55556 + 800.00000 + 844.44444 + 888.88889 + 933.33333 + 977.77778 + 1022.22222 + 1066.66667 + 1111.11111 + 1155.55556 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-28.scl b/resources/data/tuning-library/SCL/ED2-28.scl new file mode 100644 index 00000000000..4e6744b265b --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-28.scl @@ -0,0 +1,33 @@ +! D:\Scala Batch\ED2-28.scl +! +ED2-28 - Equal division of harmonic 2 into 28 parts + 28 +! + 42.85714 + 85.71429 + 128.57143 + 171.42857 + 214.28571 + 257.14286 + 300.00000 + 342.85714 + 385.71429 + 428.57143 + 471.42857 + 514.28571 + 557.14286 + 600.00000 + 642.85714 + 685.71429 + 728.57143 + 771.42857 + 814.28571 + 857.14286 + 900.00000 + 942.85714 + 985.71429 + 1028.57143 + 1071.42857 + 1114.28571 + 1157.14286 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-29.scl b/resources/data/tuning-library/SCL/ED2-29.scl new file mode 100644 index 00000000000..8298cfcc59a --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-29.scl @@ -0,0 +1,34 @@ +! D:\Scala Batch\ED2-29.scl +! +ED2-29 - Equal division of harmonic 2 into 29 parts + 29 +! + 41.37931 + 82.75862 + 124.13793 + 165.51724 + 206.89655 + 248.27586 + 289.65517 + 331.03448 + 372.41379 + 413.79310 + 455.17241 + 496.55172 + 537.93103 + 579.31034 + 620.68966 + 662.06897 + 703.44828 + 744.82759 + 786.20690 + 827.58621 + 868.96552 + 910.34483 + 951.72414 + 993.10345 + 1034.48276 + 1075.86207 + 1117.24138 + 1158.62069 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-30.scl b/resources/data/tuning-library/SCL/ED2-30.scl new file mode 100644 index 00000000000..f938a97f9eb --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-30.scl @@ -0,0 +1,35 @@ +! D:\Scala Batch\ED2-30.scl +! +ED2-30 - Equal division of harmonic 2 into 30 parts + 30 +! + 40.00000 + 80.00000 + 120.00000 + 160.00000 + 200.00000 + 240.00000 + 280.00000 + 320.00000 + 360.00000 + 400.00000 + 440.00000 + 480.00000 + 520.00000 + 560.00000 + 600.00000 + 640.00000 + 680.00000 + 720.00000 + 760.00000 + 800.00000 + 840.00000 + 880.00000 + 920.00000 + 960.00000 + 1000.00000 + 1040.00000 + 1080.00000 + 1120.00000 + 1160.00000 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED2-31.scl b/resources/data/tuning-library/SCL/ED2-31.scl new file mode 100644 index 00000000000..4b4ce8a569c --- /dev/null +++ b/resources/data/tuning-library/SCL/ED2-31.scl @@ -0,0 +1,36 @@ +! D:\Scala Batch\ED2\ED2-31.scl +! +ED2-31 - Equal division of harmonic 2 into 31 parts + 31 +! + 38.70968 + 77.41935 + 116.12903 + 154.83871 + 193.54839 + 232.25806 + 270.96774 + 309.67742 + 348.38710 + 387.09677 + 425.80645 + 464.51613 + 503.22581 + 541.93548 + 580.64516 + 619.35484 + 658.06452 + 696.77419 + 735.48387 + 774.19355 + 812.90323 + 851.61290 + 890.32258 + 929.03226 + 967.74194 + 1006.45161 + 1045.16129 + 1083.87097 + 1122.58065 + 1161.29032 + 2/1 diff --git a/resources/data/tuning-library/SCL/ED3-07.scl b/resources/data/tuning-library/SCL/ED3-07.scl new file mode 100644 index 00000000000..d6225ebd378 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-07.scl @@ -0,0 +1,12 @@ +! D:\Scala Batch\ED3-07.scl +! +ED3-07 - Equal division of harmonic 3 into 7 parts + 7 +! + 271.70786 + 543.41571 + 815.12357 + 1086.83143 + 1358.53929 + 1630.24714 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-08.scl b/resources/data/tuning-library/SCL/ED3-08.scl new file mode 100644 index 00000000000..299829fa2e1 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-08.scl @@ -0,0 +1,13 @@ +! D:\Scala Batch\ED3-08.scl +! +ED3-08 - Equal division of harmonic 3 into 8 parts + 8 +! + 237.74438 + 475.48875 + 713.23313 + 950.97750 + 1188.72188 + 1426.46625 + 1664.21063 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-09.scl b/resources/data/tuning-library/SCL/ED3-09.scl new file mode 100644 index 00000000000..b9d44795426 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-09.scl @@ -0,0 +1,14 @@ +! D:\Scala Batch\ED3-09.scl +! +ED3-09 - Equal division of harmonic 3 into 9 parts + 9 +! + 211.32833 + 422.65667 + 633.98500 + 845.31333 + 1056.64167 + 1267.97000 + 1479.29833 + 1690.62667 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-10.scl b/resources/data/tuning-library/SCL/ED3-10.scl new file mode 100644 index 00000000000..622ebd0e2b2 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-10.scl @@ -0,0 +1,15 @@ +! D:\Scala Batch\ED3-10.scl +! +ED3-10 - Equal division of harmonic 3 into 10 parts + 10 +! + 190.19550 + 380.39100 + 570.58650 + 760.78200 + 950.97750 + 1141.17300 + 1331.36850 + 1521.56400 + 1711.75950 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-11.scl b/resources/data/tuning-library/SCL/ED3-11.scl new file mode 100644 index 00000000000..a9276286c71 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-11.scl @@ -0,0 +1,16 @@ +! D:\Scala Batch\ED3-11.scl +! +ED3-11 - Equal division of harmonic 3 into 11 parts + 11 +! + 172.90500 + 345.81000 + 518.71500 + 691.62000 + 864.52500 + 1037.43000 + 1210.33500 + 1383.24000 + 1556.14500 + 1729.05000 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-12.scl b/resources/data/tuning-library/SCL/ED3-12.scl new file mode 100644 index 00000000000..1ee89836733 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-12.scl @@ -0,0 +1,17 @@ +! D:\Scala Batch\ED3-12.scl +! +ED3-12 - Equal division of harmonic 3 into 12 parts + 12 +! + 158.49625 + 316.99250 + 475.48875 + 633.98500 + 792.48125 + 950.97750 + 1109.47375 + 1267.97000 + 1426.46625 + 1584.96250 + 1743.45875 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-13.scl b/resources/data/tuning-library/SCL/ED3-13.scl new file mode 100644 index 00000000000..ade53c06bc2 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-13.scl @@ -0,0 +1,18 @@ +! D:\Scala Batch\ED3-13.scl +! +ED3-13 - Equal division of harmonic 3 into 13 parts + 13 +! + 146.30423 + 292.60846 + 438.91269 + 585.21692 + 731.52115 + 877.82539 + 1024.12962 + 1170.43385 + 1316.73808 + 1463.04231 + 1609.34654 + 1755.65077 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-14.scl b/resources/data/tuning-library/SCL/ED3-14.scl new file mode 100644 index 00000000000..5a5bd6fe15c --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-14.scl @@ -0,0 +1,19 @@ +! D:\Scala Batch\ED3-14.scl +! +ED3-14 - Equal division of harmonic 3 into 14 parts + 14 +! + 135.85393 + 271.70786 + 407.56179 + 543.41571 + 679.26964 + 815.12357 + 950.97750 + 1086.83143 + 1222.68536 + 1358.53929 + 1494.39321 + 1630.24714 + 1766.10107 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-15.scl b/resources/data/tuning-library/SCL/ED3-15.scl new file mode 100644 index 00000000000..d268164c6b8 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-15.scl @@ -0,0 +1,20 @@ +! D:\Scala Batch\ED3-15.scl +! +ED3-15 - Equal division of harmonic 3 into 15 parts + 15 +! + 126.79700 + 253.59400 + 380.39100 + 507.18800 + 633.98500 + 760.78200 + 887.57900 + 1014.37600 + 1141.17300 + 1267.97000 + 1394.76700 + 1521.56400 + 1648.36100 + 1775.15800 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-16.scl b/resources/data/tuning-library/SCL/ED3-16.scl new file mode 100644 index 00000000000..05f8dcee412 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-16.scl @@ -0,0 +1,21 @@ +! D:\Scala Batch\ED3-16.scl +! +ED3-16 - Equal division of harmonic 3 into 16 parts + 16 +! + 118.87219 + 237.74438 + 356.61656 + 475.48875 + 594.36094 + 713.23313 + 832.10531 + 950.97750 + 1069.84969 + 1188.72188 + 1307.59406 + 1426.46625 + 1545.33844 + 1664.21063 + 1783.08281 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-17.scl b/resources/data/tuning-library/SCL/ED3-17.scl new file mode 100644 index 00000000000..8df3f47c799 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-17.scl @@ -0,0 +1,22 @@ +! D:\Scala Batch\ED3-17.scl +! +ED3-17 - Equal division of harmonic 3 into 17 parts + 17 +! + 111.87971 + 223.75941 + 335.63912 + 447.51882 + 559.39853 + 671.27824 + 783.15794 + 895.03765 + 1006.91735 + 1118.79706 + 1230.67677 + 1342.55647 + 1454.43618 + 1566.31588 + 1678.19559 + 1790.07529 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-18.scl b/resources/data/tuning-library/SCL/ED3-18.scl new file mode 100644 index 00000000000..e0fc447c816 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-18.scl @@ -0,0 +1,23 @@ +! D:\Scala Batch\ED3-18.scl +! +ED3-18 - Equal division of harmonic 3 into 18 parts + 18 +! + 105.66417 + 211.32833 + 316.99250 + 422.65667 + 528.32083 + 633.98500 + 739.64917 + 845.31333 + 950.97750 + 1056.64167 + 1162.30583 + 1267.97000 + 1373.63417 + 1479.29833 + 1584.96250 + 1690.62667 + 1796.29083 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-19.scl b/resources/data/tuning-library/SCL/ED3-19.scl new file mode 100644 index 00000000000..143257419c5 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-19.scl @@ -0,0 +1,24 @@ +! D:\Scala Batch\ED3-19.scl +! +ED3-19 - Equal division of harmonic 3 into 19 parts + 19 +! + 100.10289 + 200.20579 + 300.30868 + 400.41158 + 500.51447 + 600.61737 + 700.72026 + 800.82316 + 900.92605 + 1001.02895 + 1101.13184 + 1201.23474 + 1301.33763 + 1401.44053 + 1501.54342 + 1601.64632 + 1701.74921 + 1801.85211 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-20.scl b/resources/data/tuning-library/SCL/ED3-20.scl new file mode 100644 index 00000000000..dbc35b2a2f7 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-20.scl @@ -0,0 +1,25 @@ +! D:\Scala Batch\ED3-20.scl +! +ED3-20 - Equal division of harmonic 3 into 20 parts + 20 +! + 95.09775 + 190.19550 + 285.29325 + 380.39100 + 475.48875 + 570.58650 + 665.68425 + 760.78200 + 855.87975 + 950.97750 + 1046.07525 + 1141.17300 + 1236.27075 + 1331.36850 + 1426.46625 + 1521.56400 + 1616.66175 + 1711.75950 + 1806.85725 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-21.scl b/resources/data/tuning-library/SCL/ED3-21.scl new file mode 100644 index 00000000000..316c1e42ac9 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-21.scl @@ -0,0 +1,26 @@ +! D:\Scala Batch\ED3-21.scl +! +ED3-21 - Equal division of harmonic 3 into 21 parts + 21 +! + 90.56929 + 181.13857 + 271.70786 + 362.27714 + 452.84643 + 543.41571 + 633.98500 + 724.55429 + 815.12357 + 905.69286 + 996.26214 + 1086.83143 + 1177.40071 + 1267.97000 + 1358.53929 + 1449.10857 + 1539.67786 + 1630.24714 + 1720.81643 + 1811.38572 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-22.scl b/resources/data/tuning-library/SCL/ED3-22.scl new file mode 100644 index 00000000000..6f328841c56 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-22.scl @@ -0,0 +1,27 @@ +! D:\Scala Batch\ED3-22.scl +! +ED3-22 - Equal division of harmonic 3 into 22 parts + 22 +! + 86.45250 + 172.90500 + 259.35750 + 345.81000 + 432.26250 + 518.71500 + 605.16750 + 691.62000 + 778.07250 + 864.52500 + 950.97750 + 1037.43000 + 1123.88250 + 1210.33500 + 1296.78750 + 1383.24000 + 1469.69250 + 1556.14500 + 1642.59750 + 1729.05000 + 1815.50250 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-23.scl b/resources/data/tuning-library/SCL/ED3-23.scl new file mode 100644 index 00000000000..b25ff709659 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-23.scl @@ -0,0 +1,28 @@ +! D:\Scala Batch\ED3-23.scl +! +ED3-23 - Equal division of harmonic 3 into 23 parts + 23 +! + 82.69370 + 165.38739 + 248.08109 + 330.77478 + 413.46848 + 496.16217 + 578.85587 + 661.54957 + 744.24326 + 826.93696 + 909.63065 + 992.32435 + 1075.01804 + 1157.71174 + 1240.40544 + 1323.09913 + 1405.79283 + 1488.48652 + 1571.18022 + 1653.87391 + 1736.56761 + 1819.26131 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-24.scl b/resources/data/tuning-library/SCL/ED3-24.scl new file mode 100644 index 00000000000..2223b7ebbf1 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-24.scl @@ -0,0 +1,29 @@ +! D:\Scala Batch\ED3-24.scl +! +ED3-24 - Equal division of harmonic 3 into 24 parts + 24 +! + 79.24813 + 158.49625 + 237.74438 + 316.99250 + 396.24063 + 475.48875 + 554.73688 + 633.98500 + 713.23313 + 792.48125 + 871.72938 + 950.97750 + 1030.22563 + 1109.47375 + 1188.72188 + 1267.97000 + 1347.21813 + 1426.46625 + 1505.71438 + 1584.96250 + 1664.21063 + 1743.45875 + 1822.70688 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-25.scl b/resources/data/tuning-library/SCL/ED3-25.scl new file mode 100644 index 00000000000..db51c8bcaac --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-25.scl @@ -0,0 +1,30 @@ +! D:\Scala Batch\ED3-25.scl +! +ED3-25 - Equal division of harmonic 3 into 25 parts + 25 +! + 76.07820 + 152.15640 + 228.23460 + 304.31280 + 380.39100 + 456.46920 + 532.54740 + 608.62560 + 684.70380 + 760.78200 + 836.86020 + 912.93840 + 989.01660 + 1065.09480 + 1141.17300 + 1217.25120 + 1293.32940 + 1369.40760 + 1445.48580 + 1521.56400 + 1597.64220 + 1673.72040 + 1749.79860 + 1825.87680 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-26.scl b/resources/data/tuning-library/SCL/ED3-26.scl new file mode 100644 index 00000000000..728573cf34b --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-26.scl @@ -0,0 +1,31 @@ +! D:\Scala Batch\ED3-26.scl +! +ED3-26 - Equal division of harmonic 3 into 26 parts + 26 +! + 73.15212 + 146.30423 + 219.45635 + 292.60846 + 365.76058 + 438.91269 + 512.06481 + 585.21692 + 658.36904 + 731.52115 + 804.67327 + 877.82539 + 950.97750 + 1024.12962 + 1097.28173 + 1170.43385 + 1243.58596 + 1316.73808 + 1389.89019 + 1463.04231 + 1536.19442 + 1609.34654 + 1682.49865 + 1755.65077 + 1828.80289 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED3-27.scl b/resources/data/tuning-library/SCL/ED3-27.scl new file mode 100644 index 00000000000..3b1ff26bc8d --- /dev/null +++ b/resources/data/tuning-library/SCL/ED3-27.scl @@ -0,0 +1,32 @@ +! D:\Scala Batch\ED3-27.scl +! +ED3-27 - Equal division of harmonic 3 into 27 parts + 27 +! + 70.44278 + 140.88556 + 211.32833 + 281.77111 + 352.21389 + 422.65667 + 493.09944 + 563.54222 + 633.98500 + 704.42778 + 774.87056 + 845.31333 + 915.75611 + 986.19889 + 1056.64167 + 1127.08444 + 1197.52722 + 1267.97000 + 1338.41278 + 1408.85556 + 1479.29833 + 1549.74111 + 1620.18389 + 1690.62667 + 1761.06945 + 1831.51222 + 3/1 diff --git a/resources/data/tuning-library/SCL/ED4-09.scl b/resources/data/tuning-library/SCL/ED4-09.scl new file mode 100644 index 00000000000..da3d57c2dfc --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-09.scl @@ -0,0 +1,14 @@ +! D:\Scala Batch\ED4-09.scl +! +ED4-09 - Equal division of harmonic 4 into 9 parts + 9 +! + 266.66667 + 533.33333 + 800.00000 + 1066.66667 + 1333.33333 + 1600.00000 + 1866.66667 + 2133.33333 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-11.scl b/resources/data/tuning-library/SCL/ED4-11.scl new file mode 100644 index 00000000000..338e122a3cd --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-11.scl @@ -0,0 +1,16 @@ +! D:\Scala Batch\ED4-11.scl +! +ED4-11 - Equal division of harmonic 4 into 11 parts + 11 +! + 218.18182 + 436.36364 + 654.54545 + 872.72727 + 1090.90909 + 1309.09091 + 1527.27273 + 1745.45455 + 1963.63636 + 2181.81818 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-13.scl b/resources/data/tuning-library/SCL/ED4-13.scl new file mode 100644 index 00000000000..a1b666a77fd --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-13.scl @@ -0,0 +1,18 @@ +! D:\Scala Batch\ED4-13.scl +! +ED4-13 - Equal division of harmonic 4 into 13 parts + 13 +! + 184.61538 + 369.23077 + 553.84615 + 738.46154 + 923.07692 + 1107.69231 + 1292.30769 + 1476.92308 + 1661.53846 + 1846.15385 + 2030.76923 + 2215.38462 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-15.scl b/resources/data/tuning-library/SCL/ED4-15.scl new file mode 100644 index 00000000000..9fee1da8c0e --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-15.scl @@ -0,0 +1,20 @@ +! D:\Scala Batch\ED4-15.scl +! +ED4-15 - Equal division of harmonic 4 into 15 parts + 15 +! + 160.00000 + 320.00000 + 480.00000 + 640.00000 + 800.00000 + 960.00000 + 1120.00000 + 1280.00000 + 1440.00000 + 1600.00000 + 1760.00000 + 1920.00000 + 2080.00000 + 2240.00000 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-17.scl b/resources/data/tuning-library/SCL/ED4-17.scl new file mode 100644 index 00000000000..ba5256327b0 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-17.scl @@ -0,0 +1,22 @@ +! D:\Scala Batch\ED4-17.scl +! +ED4-17 - Equal division of harmonic 4 into 17 parts + 17 +! + 141.17647 + 282.35294 + 423.52941 + 564.70588 + 705.88235 + 847.05882 + 988.23529 + 1129.41176 + 1270.58824 + 1411.76471 + 1552.94118 + 1694.11765 + 1835.29412 + 1976.47059 + 2117.64706 + 2258.82353 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-19.scl b/resources/data/tuning-library/SCL/ED4-19.scl new file mode 100644 index 00000000000..49f739eb485 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-19.scl @@ -0,0 +1,24 @@ +! D:\Scala Batch\ED4-19.scl +! +ED4-19 - Equal division of harmonic 4 into 19 parts + 19 +! + 126.31579 + 252.63158 + 378.94737 + 505.26316 + 631.57895 + 757.89474 + 884.21053 + 1010.52632 + 1136.84211 + 1263.15789 + 1389.47368 + 1515.78947 + 1642.10526 + 1768.42105 + 1894.73684 + 2021.05263 + 2147.36842 + 2273.68421 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-21.scl b/resources/data/tuning-library/SCL/ED4-21.scl new file mode 100644 index 00000000000..2c18730d4bd --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-21.scl @@ -0,0 +1,26 @@ +! D:\Scala Batch\ED4-21.scl +! +ED4-21 - Equal division of harmonic 4 into 21 parts + 21 +! + 114.28571 + 228.57143 + 342.85714 + 457.14286 + 571.42857 + 685.71429 + 800.00000 + 914.28571 + 1028.57143 + 1142.85714 + 1257.14286 + 1371.42857 + 1485.71429 + 1600.00000 + 1714.28571 + 1828.57143 + 1942.85714 + 2057.14286 + 2171.42857 + 2285.71429 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-23.scl b/resources/data/tuning-library/SCL/ED4-23.scl new file mode 100644 index 00000000000..74be4995f5f --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-23.scl @@ -0,0 +1,28 @@ +! D:\Scala Batch\ED4-23.scl +! +ED4-23 - Equal division of harmonic 4 into 23 parts + 23 +! + 104.34783 + 208.69565 + 313.04348 + 417.39130 + 521.73913 + 626.08696 + 730.43478 + 834.78261 + 939.13043 + 1043.47826 + 1147.82609 + 1252.17391 + 1356.52174 + 1460.86957 + 1565.21739 + 1669.56522 + 1773.91304 + 1878.26087 + 1982.60870 + 2086.95652 + 2191.30435 + 2295.65217 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-25.scl b/resources/data/tuning-library/SCL/ED4-25.scl new file mode 100644 index 00000000000..16ccbadc085 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-25.scl @@ -0,0 +1,30 @@ +! D:\Scala Batch\ED4-25.scl +! +ED4-25 - Equal division of harmonic 4 into 25 parts + 25 +! + 96.00000 + 192.00000 + 288.00000 + 384.00000 + 480.00000 + 576.00000 + 672.00000 + 768.00000 + 864.00000 + 960.00000 + 1056.00000 + 1152.00000 + 1248.00000 + 1344.00000 + 1440.00000 + 1536.00000 + 1632.00000 + 1728.00000 + 1824.00000 + 1920.00000 + 2016.00000 + 2112.00000 + 2208.00000 + 2304.00000 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-27.scl b/resources/data/tuning-library/SCL/ED4-27.scl new file mode 100644 index 00000000000..89bf675a742 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-27.scl @@ -0,0 +1,32 @@ +! D:\Scala Batch\ED4-27.scl +! +ED4-27 - Equal division of harmonic 4 into 27 parts + 27 +! + 88.88889 + 177.77778 + 266.66667 + 355.55556 + 444.44444 + 533.33333 + 622.22222 + 711.11111 + 800.00000 + 888.88889 + 977.77778 + 1066.66667 + 1155.55556 + 1244.44444 + 1333.33333 + 1422.22222 + 1511.11111 + 1600.00000 + 1688.88889 + 1777.77778 + 1866.66667 + 1955.55556 + 2044.44444 + 2133.33333 + 2222.22222 + 2311.11111 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-29.scl b/resources/data/tuning-library/SCL/ED4-29.scl new file mode 100644 index 00000000000..fcf9d0145e7 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-29.scl @@ -0,0 +1,34 @@ +! D:\Scala Batch\ED4-29.scl +! +ED4-29 - Equal division of harmonic 4 into 29 parts + 29 +! + 82.75862 + 165.51724 + 248.27586 + 331.03448 + 413.79310 + 496.55172 + 579.31034 + 662.06897 + 744.82759 + 827.58621 + 910.34483 + 993.10345 + 1075.86207 + 1158.62069 + 1241.37931 + 1324.13793 + 1406.89655 + 1489.65517 + 1572.41379 + 1655.17241 + 1737.93103 + 1820.68966 + 1903.44828 + 1986.20690 + 2068.96552 + 2151.72414 + 2234.48276 + 2317.24138 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-31.scl b/resources/data/tuning-library/SCL/ED4-31.scl new file mode 100644 index 00000000000..c3283f5c2a8 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-31.scl @@ -0,0 +1,36 @@ +! D:\Scala Batch\ED4-31.scl +! +ED4-31 - Equal division of harmonic 4 into 31 parts + 31 +! + 77.41935 + 154.83871 + 232.25806 + 309.67742 + 387.09677 + 464.51613 + 541.93548 + 619.35484 + 696.77419 + 774.19355 + 851.61290 + 929.03226 + 1006.45161 + 1083.87097 + 1161.29032 + 1238.70968 + 1316.12903 + 1393.54839 + 1470.96774 + 1548.38710 + 1625.80645 + 1703.22581 + 1780.64516 + 1858.06452 + 1935.48387 + 2012.90323 + 2090.32258 + 2167.74194 + 2245.16129 + 2322.58065 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-33.scl b/resources/data/tuning-library/SCL/ED4-33.scl new file mode 100644 index 00000000000..0becce273af --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-33.scl @@ -0,0 +1,38 @@ +! D:\Scala Batch\ED4-33.scl +! +ED4-33 - Equal division of harmonic 4 into 33 parts + 33 +! + 72.72727 + 145.45455 + 218.18182 + 290.90909 + 363.63636 + 436.36364 + 509.09091 + 581.81818 + 654.54545 + 727.27273 + 800.00000 + 872.72727 + 945.45455 + 1018.18182 + 1090.90909 + 1163.63636 + 1236.36364 + 1309.09091 + 1381.81818 + 1454.54545 + 1527.27273 + 1600.00000 + 1672.72727 + 1745.45455 + 1818.18182 + 1890.90909 + 1963.63636 + 2036.36364 + 2109.09091 + 2181.81818 + 2254.54545 + 2327.27273 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-35.scl b/resources/data/tuning-library/SCL/ED4-35.scl new file mode 100644 index 00000000000..1df28743207 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-35.scl @@ -0,0 +1,40 @@ +! D:\Scala Batch\ED4-35.scl +! +ED4-35 - Equal division of harmonic 4 into 35 parts + 35 +! + 68.57143 + 137.14286 + 205.71429 + 274.28571 + 342.85714 + 411.42857 + 480.00000 + 548.57143 + 617.14286 + 685.71429 + 754.28571 + 822.85714 + 891.42857 + 960.00000 + 1028.57143 + 1097.14286 + 1165.71429 + 1234.28571 + 1302.85714 + 1371.42857 + 1440.00000 + 1508.57143 + 1577.14286 + 1645.71429 + 1714.28571 + 1782.85714 + 1851.42857 + 1920.00000 + 1988.57143 + 2057.14286 + 2125.71429 + 2194.28571 + 2262.85714 + 2331.42857 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-37.scl b/resources/data/tuning-library/SCL/ED4-37.scl new file mode 100644 index 00000000000..f71ac2acff6 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-37.scl @@ -0,0 +1,42 @@ +! D:\Scala Batch\ED4-37.scl +! +ED4-37 - Equal division of harmonic 4 into 37 parts + 37 +! + 64.86486 + 129.72973 + 194.59459 + 259.45946 + 324.32432 + 389.18919 + 454.05405 + 518.91892 + 583.78378 + 648.64865 + 713.51351 + 778.37838 + 843.24324 + 908.10811 + 972.97297 + 1037.83784 + 1102.70270 + 1167.56757 + 1232.43243 + 1297.29730 + 1362.16216 + 1427.02703 + 1491.89189 + 1556.75676 + 1621.62162 + 1686.48649 + 1751.35135 + 1816.21622 + 1881.08108 + 1945.94595 + 2010.81081 + 2075.67568 + 2140.54054 + 2205.40541 + 2270.27027 + 2335.13514 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-39.scl b/resources/data/tuning-library/SCL/ED4-39.scl new file mode 100644 index 00000000000..76866043747 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-39.scl @@ -0,0 +1,44 @@ +! D:\Scala Batch\ED4-39.scl +! +ED4-39 - Equal division of harmonic 4 into 39 parts + 39 +! + 61.53846 + 123.07692 + 184.61538 + 246.15385 + 307.69231 + 369.23077 + 430.76923 + 492.30769 + 553.84615 + 615.38462 + 676.92308 + 738.46154 + 800.00000 + 861.53846 + 923.07692 + 984.61538 + 1046.15385 + 1107.69231 + 1169.23077 + 1230.76923 + 1292.30769 + 1353.84615 + 1415.38462 + 1476.92308 + 1538.46154 + 1600.00000 + 1661.53846 + 1723.07692 + 1784.61538 + 1846.15385 + 1907.69231 + 1969.23077 + 2030.76923 + 2092.30769 + 2153.84615 + 2215.38462 + 2276.92308 + 2338.46154 + 4/1 diff --git a/resources/data/tuning-library/SCL/ED4-41.scl b/resources/data/tuning-library/SCL/ED4-41.scl new file mode 100644 index 00000000000..0142b428ac9 --- /dev/null +++ b/resources/data/tuning-library/SCL/ED4-41.scl @@ -0,0 +1,46 @@ +! D:\Scala Batch\ED4-41.scl +! +ED4-41 - Equal division of harmonic 4 into 41 parts + 41 +! + 58.53659 + 117.07317 + 175.60976 + 234.14634 + 292.68293 + 351.21951 + 409.75610 + 468.29268 + 526.82927 + 585.36585 + 643.90244 + 702.43902 + 760.97561 + 819.51220 + 878.04878 + 936.58537 + 995.12195 + 1053.65854 + 1112.19512 + 1170.73171 + 1229.26829 + 1287.80488 + 1346.34146 + 1404.87805 + 1463.41463 + 1521.95122 + 1580.48780 + 1639.02439 + 1697.56098 + 1756.09756 + 1814.63415 + 1873.17073 + 1931.70732 + 1990.24390 + 2048.78049 + 2107.31707 + 2165.85366 + 2224.39024 + 2282.92683 + 2341.46341 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD2 04-08.scl b/resources/data/tuning-library/SCL/HD2 04-08.scl new file mode 100644 index 00000000000..46820ef038d --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 04-08.scl @@ -0,0 +1,9 @@ +! D:\Scala Batch\HD2 04-08.scl +! +HD2 04-08 - Harmonic division of 2: Harmonics 04-08 + 4 +! + 5/4 + 3/2 + 7/4 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 05-10.scl b/resources/data/tuning-library/SCL/HD2 05-10.scl new file mode 100644 index 00000000000..2ea73e89b6e --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 05-10.scl @@ -0,0 +1,10 @@ +! D:\Scala Batch\HD2 05-10.scl +! +HD2 05-10 - Harmonic division of 2: Harmonics 05-10 + 5 +! + 6/5 + 7/5 + 8/5 + 9/5 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 06-12.scl b/resources/data/tuning-library/SCL/HD2 06-12.scl new file mode 100644 index 00000000000..98bc1eb58c6 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 06-12.scl @@ -0,0 +1,11 @@ +! D:\Scala Batch\HD2 06-12.scl +! +HD2 06-12 - Harmonic division of 2: Harmonics 06-12 + 6 +! + 7/6 + 4/3 + 3/2 + 5/3 + 11/6 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 07-14.scl b/resources/data/tuning-library/SCL/HD2 07-14.scl new file mode 100644 index 00000000000..4b0d262a06d --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 07-14.scl @@ -0,0 +1,12 @@ +! D:\Scala Batch\HD2 07-14.scl +! +HD2 07-14 - Harmonic division of 2: Harmonics 07-14 + 7 +! + 8/7 + 9/7 + 10/7 + 11/7 + 12/7 + 13/7 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 08-16.scl b/resources/data/tuning-library/SCL/HD2 08-16.scl new file mode 100644 index 00000000000..54f51341e55 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 08-16.scl @@ -0,0 +1,13 @@ +! D:\Scala Batch\HD2 08-16.scl +! +HD2 08-16 - Harmonic division of 2: Harmonics 08-16 + 8 +! + 9/8 + 5/4 + 11/8 + 3/2 + 13/8 + 7/4 + 15/8 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 09-18.scl b/resources/data/tuning-library/SCL/HD2 09-18.scl new file mode 100644 index 00000000000..b2c8e946f67 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 09-18.scl @@ -0,0 +1,14 @@ +! D:\Scala Batch\HD2 09-18.scl +! +HD2 09-18 - Harmonic division of 2: Harmonics 09-18 + 9 +! + 10/9 + 11/9 + 4/3 + 13/9 + 14/9 + 5/3 + 16/9 + 17/9 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 10-20.scl b/resources/data/tuning-library/SCL/HD2 10-20.scl new file mode 100644 index 00000000000..e14719fc023 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 10-20.scl @@ -0,0 +1,15 @@ +! D:\Scala Batch\HD2 10-20.scl +! +HD2 10-20 - Harmonic division of 2: Harmonics 10-20 + 10 +! + 11/10 + 6/5 + 13/10 + 7/5 + 3/2 + 8/5 + 17/10 + 9/5 + 19/10 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 11-22.scl b/resources/data/tuning-library/SCL/HD2 11-22.scl new file mode 100644 index 00000000000..ee2937c22d7 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 11-22.scl @@ -0,0 +1,16 @@ +! D:\Scala Batch\HD2 11-22.scl +! +HD2 11-22 - Harmonic division of 2: Harmonics 11-22 + 11 +! + 12/11 + 13/11 + 14/11 + 15/11 + 16/11 + 17/11 + 18/11 + 19/11 + 20/11 + 21/11 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 12-24.scl b/resources/data/tuning-library/SCL/HD2 12-24.scl new file mode 100644 index 00000000000..046b9bed877 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 12-24.scl @@ -0,0 +1,17 @@ +! D:\Scala Batch\HD2 12-24.scl +! +HD2 12-24 - Harmonic division of 2: Harmonics 12-24 + 12 +! + 13/12 + 7/6 + 5/4 + 4/3 + 17/12 + 3/2 + 19/12 + 5/3 + 7/4 + 11/6 + 23/12 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 13-26.scl b/resources/data/tuning-library/SCL/HD2 13-26.scl new file mode 100644 index 00000000000..82d34681810 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 13-26.scl @@ -0,0 +1,18 @@ +! D:\Scala Batch\HD2 13-26.scl +! +HD2 13-26 - Harmonic division of 2: Harmonics 13-26 + 13 +! + 14/13 + 15/13 + 16/13 + 17/13 + 18/13 + 19/13 + 20/13 + 21/13 + 22/13 + 23/13 + 24/13 + 25/13 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 14-28.scl b/resources/data/tuning-library/SCL/HD2 14-28.scl new file mode 100644 index 00000000000..4c45b0d0e8c --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 14-28.scl @@ -0,0 +1,19 @@ +! D:\Scala Batch\HD2 14-28.scl +! +HD2 14-28 - Harmonic division of 2: Harmonics 14-28 + 14 +! + 15/14 + 8/7 + 17/14 + 9/7 + 19/14 + 10/7 + 3/2 + 11/7 + 23/14 + 12/7 + 25/14 + 13/7 + 27/14 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 15-30.scl b/resources/data/tuning-library/SCL/HD2 15-30.scl new file mode 100644 index 00000000000..35af1ab09c1 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 15-30.scl @@ -0,0 +1,20 @@ +! D:\Scala Batch\HD2 15-30.scl +! +HD2 15-30 - Harmonic division of 2: Harmonics 15-30 + 15 +! + 16/15 + 17/15 + 6/5 + 19/15 + 4/3 + 7/5 + 22/15 + 23/15 + 8/5 + 5/3 + 26/15 + 9/5 + 28/15 + 29/15 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD2 16-32.scl b/resources/data/tuning-library/SCL/HD2 16-32.scl new file mode 100644 index 00000000000..e49777164ba --- /dev/null +++ b/resources/data/tuning-library/SCL/HD2 16-32.scl @@ -0,0 +1,21 @@ +! D:\Scala Batch\HD2 16-32.scl +! +HD2 16-32 - Harmonic division of 2: Harmonics 16-32 + 16 +! + 17/16 + 9/8 + 19/16 + 5/4 + 21/16 + 11/8 + 23/16 + 3/2 + 25/16 + 13/8 + 27/16 + 7/4 + 29/16 + 15/8 + 31/16 + 2/1 diff --git a/resources/data/tuning-library/SCL/HD3 04-12.scl b/resources/data/tuning-library/SCL/HD3 04-12.scl new file mode 100644 index 00000000000..51fe79591f8 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 04-12.scl @@ -0,0 +1,13 @@ +! D:\Scala Batch\HD3 04-12.scl +! +HD3 04-12 - Harmonic division of 3: Harmonics 04-12 + 8 +! + 5/4 + 3/2 + 7/4 + 2/1 + 9/4 + 5/2 + 11/4 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 05-15.scl b/resources/data/tuning-library/SCL/HD3 05-15.scl new file mode 100644 index 00000000000..d4c83f020ab --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 05-15.scl @@ -0,0 +1,15 @@ +! D:\Scala Batch\HD3 05-15.scl +! +HD3 05-15 - Harmonic division of 3: Harmonics 05-15 + 10 +! + 6/5 + 7/5 + 8/5 + 9/5 + 2/1 + 11/5 + 12/5 + 13/5 + 14/5 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 06-18.scl b/resources/data/tuning-library/SCL/HD3 06-18.scl new file mode 100644 index 00000000000..a7f1b9ba05d --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 06-18.scl @@ -0,0 +1,17 @@ +! D:\Scala Batch\HD3 06-18.scl +! +HD3 06-18 - Harmonic division of 3: Harmonics 06-18 + 12 +! + 7/6 + 4/3 + 3/2 + 5/3 + 11/6 + 2/1 + 13/6 + 7/3 + 5/2 + 8/3 + 17/6 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 07-21.scl b/resources/data/tuning-library/SCL/HD3 07-21.scl new file mode 100644 index 00000000000..f1a47ba5f5f --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 07-21.scl @@ -0,0 +1,19 @@ +! D:\Scala Batch\HD3 07-21.scl +! +HD3 07-21 - Harmonic division of 3: Harmonics 07-21 + 14 +! + 8/7 + 9/7 + 10/7 + 11/7 + 12/7 + 13/7 + 2/1 + 15/7 + 16/7 + 17/7 + 18/7 + 19/7 + 20/7 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 08-24.scl b/resources/data/tuning-library/SCL/HD3 08-24.scl new file mode 100644 index 00000000000..8cdea6963c6 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 08-24.scl @@ -0,0 +1,21 @@ +! D:\Scala Batch\HD3 08-24.scl +! + HD3 08-24 - Harmonic division of 3: Harmonics 08-24 + 16 +! + 9/8 + 5/4 + 11/8 + 3/2 + 13/8 + 7/4 + 15/8 + 2/1 + 17/8 + 9/4 + 19/8 + 5/2 + 21/8 + 11/4 + 23/8 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 09-27.scl b/resources/data/tuning-library/SCL/HD3 09-27.scl new file mode 100644 index 00000000000..f8435278429 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 09-27.scl @@ -0,0 +1,23 @@ +! D:\Scala Batch\HD3 09-27.scl +! +HD3 09-27 - Harmonic division of 3: Harmonics 09-27 + 18 +! + 10/9 + 11/9 + 4/3 + 13/9 + 14/9 + 5/3 + 16/9 + 17/9 + 2/1 + 19/9 + 20/9 + 7/3 + 22/9 + 23/9 + 8/3 + 25/9 + 26/9 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 10-30.scl b/resources/data/tuning-library/SCL/HD3 10-30.scl new file mode 100644 index 00000000000..844720cd536 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 10-30.scl @@ -0,0 +1,25 @@ +! D:\Scala Batch\HD3 10-30.scl +! +HD3 10-30 - Harmonic division of 3: Harmonics 10-30 + 20 +! + 11/10 + 6/5 + 13/10 + 7/5 + 3/2 + 8/5 + 17/10 + 9/5 + 19/10 + 2/1 + 21/10 + 11/5 + 23/10 + 12/5 + 5/2 + 13/5 + 27/10 + 14/5 + 29/10 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 11-33.scl b/resources/data/tuning-library/SCL/HD3 11-33.scl new file mode 100644 index 00000000000..8296d753aae --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 11-33.scl @@ -0,0 +1,27 @@ +! D:\Scala Batch\HD3 11-33.scl +! +HD3 11-33 - Harmonic division of 3: Harmonics 11-33 + 22 +! + 12/11 + 13/11 + 14/11 + 15/11 + 16/11 + 17/11 + 18/11 + 19/11 + 20/11 + 21/11 + 2/1 + 23/11 + 24/11 + 25/11 + 26/11 + 27/11 + 28/11 + 29/11 + 30/11 + 31/11 + 32/11 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 12-36.scl b/resources/data/tuning-library/SCL/HD3 12-36.scl new file mode 100644 index 00000000000..1c883a819bb --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 12-36.scl @@ -0,0 +1,29 @@ +! D:\Scala Batch\HD3 12-36.scl +! +HD3 12-36 - Harmonic division of 3: Harmonics 12-36 + 24 +! + 13/12 + 7/6 + 5/4 + 4/3 + 17/12 + 3/2 + 19/12 + 5/3 + 7/4 + 11/6 + 23/12 + 2/1 + 25/12 + 13/6 + 9/4 + 7/3 + 29/12 + 5/2 + 31/12 + 8/3 + 11/4 + 17/6 + 35/12 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 13-39.scl b/resources/data/tuning-library/SCL/HD3 13-39.scl new file mode 100644 index 00000000000..a454482db83 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 13-39.scl @@ -0,0 +1,31 @@ +! D:\Scala Batch\HD3 13-39.scl +! +HD3 13-39 - Harmonic division of 3: Harmonics 13-39 + 26 +! + 14/13 + 15/13 + 16/13 + 17/13 + 18/13 + 19/13 + 20/13 + 21/13 + 22/13 + 23/13 + 24/13 + 25/13 + 2/1 + 27/13 + 28/13 + 29/13 + 30/13 + 31/13 + 32/13 + 33/13 + 34/13 + 35/13 + 36/13 + 37/13 + 38/13 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 14-42.scl b/resources/data/tuning-library/SCL/HD3 14-42.scl new file mode 100644 index 00000000000..05bdec7bb24 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 14-42.scl @@ -0,0 +1,33 @@ +! D:\Scala Batch\HD3 14-42.scl +! +HD3 14-42 - Harmonic division of 3: Harmonics 14-42 + 28 +! + 15/14 + 8/7 + 17/14 + 9/7 + 19/14 + 10/7 + 3/2 + 11/7 + 23/14 + 12/7 + 25/14 + 13/7 + 27/14 + 2/1 + 29/14 + 15/7 + 31/14 + 16/7 + 33/14 + 17/7 + 5/2 + 18/7 + 37/14 + 19/7 + 39/14 + 20/7 + 41/14 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 15-45.scl b/resources/data/tuning-library/SCL/HD3 15-45.scl new file mode 100644 index 00000000000..b88c7816380 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 15-45.scl @@ -0,0 +1,35 @@ +! D:\Scala Batch\HD3 15-45.scl +! +HD3 15-45 - Harmonic division of 3: Harmonics 15-45 + 30 +! + 16/15 + 17/15 + 6/5 + 19/15 + 4/3 + 7/5 + 22/15 + 23/15 + 8/5 + 5/3 + 26/15 + 9/5 + 28/15 + 29/15 + 2/1 + 31/15 + 32/15 + 11/5 + 34/15 + 7/3 + 12/5 + 37/15 + 38/15 + 13/5 + 8/3 + 41/15 + 14/5 + 43/15 + 44/15 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD3 16-48.scl b/resources/data/tuning-library/SCL/HD3 16-48.scl new file mode 100644 index 00000000000..c8c2ec835cd --- /dev/null +++ b/resources/data/tuning-library/SCL/HD3 16-48.scl @@ -0,0 +1,37 @@ +! D:\Scala Batch\HD3 16-48.scl +! +HD3 16-48 - Harmonic division of 3: Harmonics 16-48 + 32 +! + 17/16 + 9/8 + 19/16 + 5/4 + 21/16 + 11/8 + 23/16 + 3/2 + 25/16 + 13/8 + 27/16 + 7/4 + 29/16 + 15/8 + 31/16 + 2/1 + 33/16 + 17/8 + 35/16 + 9/4 + 37/16 + 19/8 + 39/16 + 5/2 + 41/16 + 21/8 + 43/16 + 11/4 + 45/16 + 23/8 + 47/16 + 3/1 diff --git a/resources/data/tuning-library/SCL/HD4 04-16.scl b/resources/data/tuning-library/SCL/HD4 04-16.scl new file mode 100644 index 00000000000..432965eee76 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 04-16.scl @@ -0,0 +1,17 @@ +! D:\Scala Batch\HD4 04-16.scl +! +HD4 04-16 - Harmonic division of 4: Harmonics 04-16 + 12 +! + 5/4 + 3/2 + 7/4 + 2/1 + 9/4 + 5/2 + 11/4 + 3/1 + 13/4 + 7/2 + 15/4 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 05-20.scl b/resources/data/tuning-library/SCL/HD4 05-20.scl new file mode 100644 index 00000000000..658a9be8a27 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 05-20.scl @@ -0,0 +1,20 @@ +! D:\Scala Batch\HD4 05-20.scl +! +HD4 05-20 - Harmonic division of 4: Harmonics 05-20 + 15 +! + 6/5 + 7/5 + 8/5 + 9/5 + 2/1 + 11/5 + 12/5 + 13/5 + 14/5 + 3/1 + 16/5 + 17/5 + 18/5 + 19/5 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 06-24.scl b/resources/data/tuning-library/SCL/HD4 06-24.scl new file mode 100644 index 00000000000..7b1d1d04462 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 06-24.scl @@ -0,0 +1,23 @@ +! D:\Scala Batch\HD4 06-24.scl +! +HD4 06-24 - Harmonic division of 4: Harmonics 06-24 + 18 +! + 7/6 + 4/3 + 3/2 + 5/3 + 11/6 + 2/1 + 13/6 + 7/3 + 5/2 + 8/3 + 17/6 + 3/1 + 19/6 + 10/3 + 7/2 + 11/3 + 23/6 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 07-28.scl b/resources/data/tuning-library/SCL/HD4 07-28.scl new file mode 100644 index 00000000000..3add4ce1b6b --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 07-28.scl @@ -0,0 +1,26 @@ +! D:\Scala Batch\HD4 07-28.scl +! +HD4 07-28 - Harmonic division of 4: Harmonics 07-28 + 21 +! + 8/7 + 9/7 + 10/7 + 11/7 + 12/7 + 13/7 + 2/1 + 15/7 + 16/7 + 17/7 + 18/7 + 19/7 + 20/7 + 3/1 + 22/7 + 23/7 + 24/7 + 25/7 + 26/7 + 27/7 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 08-32.scl b/resources/data/tuning-library/SCL/HD4 08-32.scl new file mode 100644 index 00000000000..fdc7e039fb8 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 08-32.scl @@ -0,0 +1,29 @@ +! D:\Scala Batch\HD4 08-32.scl +! +HD4 08-32 - Harmonic division of 4: Harmonics 08-32 + 24 +! + 9/8 + 5/4 + 11/8 + 3/2 + 13/8 + 7/4 + 15/8 + 2/1 + 17/8 + 9/4 + 19/8 + 5/2 + 21/8 + 11/4 + 23/8 + 3/1 + 25/8 + 13/4 + 27/8 + 7/2 + 29/8 + 15/4 + 31/8 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 09-36.scl b/resources/data/tuning-library/SCL/HD4 09-36.scl new file mode 100644 index 00000000000..fe20dbc0fba --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 09-36.scl @@ -0,0 +1,32 @@ +! D:\Scala Batch\HD4 09-36.scl +! +HD4 09-36 - Harmonic division of 4: Harmonics 09-36v + 27 +! + 10/9 + 11/9 + 4/3 + 13/9 + 14/9 + 5/3 + 16/9 + 17/9 + 2/1 + 19/9 + 20/9 + 7/3 + 22/9 + 23/9 + 8/3 + 25/9 + 26/9 + 3/1 + 28/9 + 29/9 + 10/3 + 31/9 + 32/9 + 11/3 + 34/9 + 35/9 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 10-40.scl b/resources/data/tuning-library/SCL/HD4 10-40.scl new file mode 100644 index 00000000000..9d25d965d2e --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 10-40.scl @@ -0,0 +1,35 @@ +! D:\Scala Batch\HD4 10-40.scl +! +HD4 10-40 - Harmonic division of 4: Harmonics 10-40 + 30 +! + 11/10 + 6/5 + 13/10 + 7/5 + 3/2 + 8/5 + 17/10 + 9/5 + 19/10 + 2/1 + 21/10 + 11/5 + 23/10 + 12/5 + 5/2 + 13/5 + 27/10 + 14/5 + 29/10 + 3/1 + 31/10 + 16/5 + 33/10 + 17/5 + 7/2 + 18/5 + 37/10 + 19/5 + 39/10 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 11-44.scl b/resources/data/tuning-library/SCL/HD4 11-44.scl new file mode 100644 index 00000000000..c5064341b99 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 11-44.scl @@ -0,0 +1,38 @@ +! D:\Scala Batch\HD4 11-44.scl +! +HD4 11-44 - Harmonic division of 4: Harmonics 11-44 + 33 +! + 12/11 + 13/11 + 14/11 + 15/11 + 16/11 + 17/11 + 18/11 + 19/11 + 20/11 + 21/11 + 2/1 + 23/11 + 24/11 + 25/11 + 26/11 + 27/11 + 28/11 + 29/11 + 30/11 + 31/11 + 32/11 + 3/1 + 34/11 + 35/11 + 36/11 + 37/11 + 38/11 + 39/11 + 40/11 + 41/11 + 42/11 + 43/11 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 12-48.scl b/resources/data/tuning-library/SCL/HD4 12-48.scl new file mode 100644 index 00000000000..0a3459f8cf4 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 12-48.scl @@ -0,0 +1,41 @@ +! D:\Scala Batch\HD4 12-48.scl +! +HD4 12-48 - Harmonic division of 4: Harmonics 12-48 + 36 +! + 13/12 + 7/6 + 5/4 + 4/3 + 17/12 + 3/2 + 19/12 + 5/3 + 7/4 + 11/6 + 23/12 + 2/1 + 25/12 + 13/6 + 9/4 + 7/3 + 29/12 + 5/2 + 31/12 + 8/3 + 11/4 + 17/6 + 35/12 + 3/1 + 37/12 + 19/6 + 13/4 + 10/3 + 41/12 + 7/2 + 43/12 + 11/3 + 15/4 + 23/6 + 47/12 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 13-52.scl b/resources/data/tuning-library/SCL/HD4 13-52.scl new file mode 100644 index 00000000000..c6390325c8f --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 13-52.scl @@ -0,0 +1,44 @@ +! D:\Scala Batch\HD4 13-52.scl +! +HD4 13-52 - Harmonic division of 4: Harmonics 13-52 + 39 +! + 14/13 + 15/13 + 16/13 + 17/13 + 18/13 + 19/13 + 20/13 + 21/13 + 22/13 + 23/13 + 24/13 + 25/13 + 2/1 + 27/13 + 28/13 + 29/13 + 30/13 + 31/13 + 32/13 + 33/13 + 34/13 + 35/13 + 36/13 + 37/13 + 38/13 + 3/1 + 40/13 + 41/13 + 42/13 + 43/13 + 44/13 + 45/13 + 46/13 + 47/13 + 48/13 + 49/13 + 50/13 + 51/13 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 14-56.scl b/resources/data/tuning-library/SCL/HD4 14-56.scl new file mode 100644 index 00000000000..dd8239866c8 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 14-56.scl @@ -0,0 +1,47 @@ +! D:\Scala Batch\HD4 14-56.scl +! +HD4 14-56 - Harmonic division of 4: Harmonics 14-56 + 42 +! + 15/14 + 8/7 + 17/14 + 9/7 + 19/14 + 10/7 + 3/2 + 11/7 + 23/14 + 12/7 + 25/14 + 13/7 + 27/14 + 2/1 + 29/14 + 15/7 + 31/14 + 16/7 + 33/14 + 17/7 + 5/2 + 18/7 + 37/14 + 19/7 + 39/14 + 20/7 + 41/14 + 3/1 + 43/14 + 22/7 + 45/14 + 23/7 + 47/14 + 24/7 + 7/2 + 25/7 + 51/14 + 26/7 + 53/14 + 27/7 + 55/14 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 15-60.scl b/resources/data/tuning-library/SCL/HD4 15-60.scl new file mode 100644 index 00000000000..ea658c47cd5 --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 15-60.scl @@ -0,0 +1,50 @@ +! D:\Scala Batch\HD4 15-60.scl +! +HD4 15-60 - Harmonic division of 4: Harmonics 15-60 + 45 +! + 16/15 + 17/15 + 6/5 + 19/15 + 4/3 + 7/5 + 22/15 + 23/15 + 8/5 + 5/3 + 26/15 + 9/5 + 28/15 + 29/15 + 2/1 + 31/15 + 32/15 + 11/5 + 34/15 + 7/3 + 12/5 + 37/15 + 38/15 + 13/5 + 8/3 + 41/15 + 14/5 + 43/15 + 44/15 + 3/1 + 46/15 + 47/15 + 16/5 + 49/15 + 10/3 + 17/5 + 52/15 + 53/15 + 18/5 + 11/3 + 56/15 + 19/5 + 58/15 + 59/15 + 4/1 diff --git a/resources/data/tuning-library/SCL/HD4 16-64.scl b/resources/data/tuning-library/SCL/HD4 16-64.scl new file mode 100644 index 00000000000..5e129f5d29a --- /dev/null +++ b/resources/data/tuning-library/SCL/HD4 16-64.scl @@ -0,0 +1,53 @@ +! D:\Scala Batch\HD4 16-64.scl +! +HD4 16-64 - Harmonic division of 4: Harmonics 16-64 + 48 +! + 17/16 + 9/8 + 19/16 + 5/4 + 21/16 + 11/8 + 23/16 + 3/2 + 25/16 + 13/8 + 27/16 + 7/4 + 29/16 + 15/8 + 31/16 + 2/1 + 33/16 + 17/8 + 35/16 + 9/4 + 37/16 + 19/8 + 39/16 + 5/2 + 41/16 + 21/8 + 43/16 + 11/4 + 45/16 + 23/8 + 47/16 + 3/1 + 49/16 + 25/8 + 51/16 + 13/4 + 53/16 + 27/8 + 55/16 + 7/2 + 57/16 + 29/8 + 59/16 + 15/4 + 61/16 + 31/8 + 63/16 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD2 08-04.scl b/resources/data/tuning-library/SCL/SD2 08-04.scl new file mode 100644 index 00000000000..20b0264efac --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 08-04.scl @@ -0,0 +1,9 @@ +! D:\Scala Batch\SD2 08-04.scl +! +SD2 08-04 - Subharmonic division of 2: Subharmonics 08-04 + 4 +! + 8/7 + 4/3 + 8/5 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 10-05.scl b/resources/data/tuning-library/SCL/SD2 10-05.scl new file mode 100644 index 00000000000..19df5102745 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 10-05.scl @@ -0,0 +1,10 @@ +! D:\Scala Batch\SD2 10-05.scl +! +SD2 10-05 - Subharmonic division of 2: Subharmonics 10-05 + 5 +! + 10/9 + 5/4 + 10/7 + 5/3 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 12-06.scl b/resources/data/tuning-library/SCL/SD2 12-06.scl new file mode 100644 index 00000000000..9acfd978584 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 12-06.scl @@ -0,0 +1,11 @@ +! D:\Scala Batch\SD2 12-06.scl +! +SD2 12-06 - Subharmonic division of 2: Subharmonics 12-06 + 6 +! + 12/11 + 6/5 + 4/3 + 3/2 + 12/7 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 14-07.scl b/resources/data/tuning-library/SCL/SD2 14-07.scl new file mode 100644 index 00000000000..1ff528403ad --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 14-07.scl @@ -0,0 +1,12 @@ +! D:\Scala Batch\SD2 14-07.scl +! +SD2 14-07 - Subharmonic division of 2: Subharmonics 14-07 + 7 +! + 14/13 + 7/6 + 14/11 + 7/5 + 14/9 + 7/4 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 16-08.scl b/resources/data/tuning-library/SCL/SD2 16-08.scl new file mode 100644 index 00000000000..029b98efed3 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 16-08.scl @@ -0,0 +1,13 @@ +! D:\Scala Batch\SD2 16-08.scl +! +SD2 16-08 - Subharmonic division of 2: Subharmonics 16-08 + 8 +! + 16/15 + 8/7 + 16/13 + 4/3 + 16/11 + 8/5 + 16/9 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 18-09.scl b/resources/data/tuning-library/SCL/SD2 18-09.scl new file mode 100644 index 00000000000..03a8601e07f --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 18-09.scl @@ -0,0 +1,14 @@ +! D:\Scala Batch\SD2 18-09.scl +! +SD2 18-09 - Subharmonic division of 2: Subharmonics 18-09 + 9 +! + 18/17 + 9/8 + 6/5 + 9/7 + 18/13 + 3/2 + 18/11 + 9/5 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 20-10.scl b/resources/data/tuning-library/SCL/SD2 20-10.scl new file mode 100644 index 00000000000..69c25125a6e --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 20-10.scl @@ -0,0 +1,15 @@ +! D:\Scala Batch\SD2 20-10.scl +! +SD2 20-10 - Subharmonic division of 2: Subharmonics 20-10 + 10 +! + 20/19 + 10/9 + 20/17 + 5/4 + 4/3 + 10/7 + 20/13 + 5/3 + 20/11 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 22-11.scl b/resources/data/tuning-library/SCL/SD2 22-11.scl new file mode 100644 index 00000000000..84e43267864 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 22-11.scl @@ -0,0 +1,16 @@ +! D:\Scala Batch\SD2 22-11.scl +! +SD2 22-11 - Subharmonic division of 2: Subharmonics 22-11 + 11 +! + 22/21 + 11/10 + 22/19 + 11/9 + 22/17 + 11/8 + 22/15 + 11/7 + 22/13 + 11/6 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 24-12.scl b/resources/data/tuning-library/SCL/SD2 24-12.scl new file mode 100644 index 00000000000..bea53c7584d --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 24-12.scl @@ -0,0 +1,17 @@ +! D:\Scala Batch\SD2 24-12.scl +! +SD2 24-12 - Subharmonic division of 2: Subharmonics 24-12 + 12 +! + 24/23 + 12/11 + 8/7 + 6/5 + 24/19 + 4/3 + 24/17 + 3/2 + 8/5 + 12/7 + 24/13 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 26-13.scl b/resources/data/tuning-library/SCL/SD2 26-13.scl new file mode 100644 index 00000000000..d5715e392d1 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 26-13.scl @@ -0,0 +1,18 @@ +! D:\Scala Batch\SD2 26-13.scl +! +SD2 26-13 - Subharmonic division of 2: Subharmonics 26-13 + 13 +! + 26/25 + 13/12 + 26/23 + 13/11 + 26/21 + 13/10 + 26/19 + 13/9 + 26/17 + 13/8 + 26/15 + 13/7 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 28-14.scl b/resources/data/tuning-library/SCL/SD2 28-14.scl new file mode 100644 index 00000000000..352a809b649 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 28-14.scl @@ -0,0 +1,19 @@ +! D:\Scala Batch\SD2 28-14.scl +! +SD2 28-14 - Subharmonic division of 2: Subharmonics 28-14 + 14 +! + 28/27 + 14/13 + 28/25 + 7/6 + 28/23 + 14/11 + 4/3 + 7/5 + 28/19 + 14/9 + 28/17 + 7/4 + 28/15 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 30-15.scl b/resources/data/tuning-library/SCL/SD2 30-15.scl new file mode 100644 index 00000000000..ff86c1e232b --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 30-15.scl @@ -0,0 +1,20 @@ +! D:\Scala Batch\SD2 30-15.scl +! +SD2 30-15 - Subharmonic division of 2: Subharmonics 30-15 + 15 +! + 30/29 + 15/14 + 10/9 + 15/13 + 6/5 + 5/4 + 30/23 + 15/11 + 10/7 + 3/2 + 30/19 + 5/3 + 30/17 + 15/8 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD2 32-16.scl b/resources/data/tuning-library/SCL/SD2 32-16.scl new file mode 100644 index 00000000000..3e495bccf98 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD2 32-16.scl @@ -0,0 +1,21 @@ +! D:\Scala Batch\SD2 32-16.scl +! +SD2 32-16 - Subharmonic division of 2: Subharmonics 32-16 + 16 +! + 32/31 + 16/15 + 32/29 + 8/7 + 32/27 + 16/13 + 32/25 + 4/3 + 32/23 + 16/11 + 32/21 + 8/5 + 32/19 + 16/9 + 32/17 + 2/1 diff --git a/resources/data/tuning-library/SCL/SD3 12-04.scl b/resources/data/tuning-library/SCL/SD3 12-04.scl new file mode 100644 index 00000000000..34b1d784c09 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 12-04.scl @@ -0,0 +1,13 @@ +! D:\Scala Batch\SD3 12-04.scl +! +SD3 12-04 - Subharmonic division of 3: Subharmonics 12-04 + 8 +! + 12/11 + 6/5 + 4/3 + 3/2 + 12/7 + 2/1 + 12/5 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 15-05.scl b/resources/data/tuning-library/SCL/SD3 15-05.scl new file mode 100644 index 00000000000..8ca35afc77f --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 15-05.scl @@ -0,0 +1,15 @@ +! D:\Scala Batch\SD3 15-05.scl +! +SD3 15-05 - Subharmonic division of 3: Subharmonics 15-05 + 10 +! + 15/14 + 15/13 + 5/4 + 15/11 + 3/2 + 5/3 + 15/8 + 15/7 + 5/2 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 18-06.scl b/resources/data/tuning-library/SCL/SD3 18-06.scl new file mode 100644 index 00000000000..67e96f19935 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 18-06.scl @@ -0,0 +1,17 @@ +! D:\Scala Batch\SD3 18-06.scl +! +SD3 18-06 - Subharmonic division of 3: Subharmonics 18-06 + 12 +! + 18/17 + 9/8 + 6/5 + 9/7 + 18/13 + 3/2 + 18/11 + 9/5 + 2/1 + 9/4 + 18/7 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 21-07.scl b/resources/data/tuning-library/SCL/SD3 21-07.scl new file mode 100644 index 00000000000..c21a14cd26b --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 21-07.scl @@ -0,0 +1,19 @@ +! D:\Scala Batch\SD3 21-07.scl +! +SD3 21-07 - Subharmonic division of 3: Subharmonics 21-07 + 14 +! + 21/20 + 21/19 + 7/6 + 21/17 + 21/16 + 7/5 + 3/2 + 21/13 + 7/4 + 21/11 + 21/10 + 7/3 + 21/8 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 24-08.scl b/resources/data/tuning-library/SCL/SD3 24-08.scl new file mode 100644 index 00000000000..6b20a4c50d8 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 24-08.scl @@ -0,0 +1,21 @@ +! D:\Scala Batch\SD3 24-08.scl +! +SD3 24-08 - Subharmonic division of 3: Subharmonics 24-08 + 16 +! + 24/23 + 12/11 + 8/7 + 6/5 + 24/19 + 4/3 + 24/17 + 3/2 + 8/5 + 12/7 + 24/13 + 2/1 + 24/11 + 12/5 + 8/3 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 27-09.scl b/resources/data/tuning-library/SCL/SD3 27-09.scl new file mode 100644 index 00000000000..e0b01d2086d --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 27-09.scl @@ -0,0 +1,23 @@ +! D:\Scala Batch\SD3 27-09.scl +! +SD3 27-09 - Subharmonic division of 3: Subharmonics 27-09 + 18 +! + 27/26 + 27/25 + 9/8 + 27/23 + 27/22 + 9/7 + 27/20 + 27/19 + 3/2 + 27/17 + 27/16 + 9/5 + 27/14 + 27/13 + 9/4 + 27/11 + 27/10 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 30-10.scl b/resources/data/tuning-library/SCL/SD3 30-10.scl new file mode 100644 index 00000000000..8b705062eb5 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 30-10.scl @@ -0,0 +1,25 @@ +! D:\Scala Batch\SD3 30-10.scl +! +SD3 30-10 - Subharmonic division of 3: Subharmonics 30-10 + 20 +! + 30/29 + 15/14 + 10/9 + 15/13 + 6/5 + 5/4 + 30/23 + 15/11 + 10/7 + 3/2 + 30/19 + 5/3 + 30/17 + 15/8 + 2/1 + 15/7 + 30/13 + 5/2 + 30/11 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 33-11.scl b/resources/data/tuning-library/SCL/SD3 33-11.scl new file mode 100644 index 00000000000..fa310e6fc85 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 33-11.scl @@ -0,0 +1,27 @@ +! D:\Scala Batch\SD3 33-11.scl +! +SD3 33-11 - Subharmonic division of 3: Subharmonics 33-11 + 22 +! + 33/32 + 33/31 + 11/10 + 33/29 + 33/28 + 11/9 + 33/26 + 33/25 + 11/8 + 33/23 + 3/2 + 11/7 + 33/20 + 33/19 + 11/6 + 33/17 + 33/16 + 11/5 + 33/14 + 33/13 + 11/4 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 36-12.scl b/resources/data/tuning-library/SCL/SD3 36-12.scl new file mode 100644 index 00000000000..9b4e6600ddc --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 36-12.scl @@ -0,0 +1,29 @@ +! D:\Scala Batch\SD3 36-12.scl +! +SD3 36-12 - Subharmonic division of 3: Subharmonics 36-12 + 24 +! + 36/35 + 18/17 + 12/11 + 9/8 + 36/31 + 6/5 + 36/29 + 9/7 + 4/3 + 18/13 + 36/25 + 3/2 + 36/23 + 18/11 + 12/7 + 9/5 + 36/19 + 2/1 + 36/17 + 9/4 + 12/5 + 18/7 + 36/13 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 39-13.scl b/resources/data/tuning-library/SCL/SD3 39-13.scl new file mode 100644 index 00000000000..997cfe6841e --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 39-13.scl @@ -0,0 +1,31 @@ +! D:\Scala Batch\SD3 39-13.scl +! +SD3 39-13 - Subharmonic division of 3: Subharmonics 39-13 + 26 +! + 39/38 + 39/37 + 13/12 + 39/35 + 39/34 + 13/11 + 39/32 + 39/31 + 13/10 + 39/29 + 39/28 + 13/9 + 3/2 + 39/25 + 13/8 + 39/23 + 39/22 + 13/7 + 39/20 + 39/19 + 13/6 + 39/17 + 39/16 + 13/5 + 39/14 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 42-14.scl b/resources/data/tuning-library/SCL/SD3 42-14.scl new file mode 100644 index 00000000000..41fc1345b1e --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 42-14.scl @@ -0,0 +1,33 @@ +! D:\Scala Batch\SD3 42-14.scl +! +SD3 42-14 - Subharmonic division of 3: Subharmonics 42-14 + 28 +! + 42/41 + 21/20 + 14/13 + 21/19 + 42/37 + 7/6 + 6/5 + 21/17 + 14/11 + 21/16 + 42/31 + 7/5 + 42/29 + 3/2 + 14/9 + 21/13 + 42/25 + 7/4 + 42/23 + 21/11 + 2/1 + 21/10 + 42/19 + 7/3 + 42/17 + 21/8 + 14/5 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 45-15.scl b/resources/data/tuning-library/SCL/SD3 45-15.scl new file mode 100644 index 00000000000..b001a724fd4 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 45-15.scl @@ -0,0 +1,35 @@ +! D:\Scala Batch\SD3 45-15.scl +! +SD3 45-15 - Subharmonic division of 3: Subharmonics 45-15 + 30 +! + 45/44 + 45/43 + 15/14 + 45/41 + 9/8 + 15/13 + 45/38 + 45/37 + 5/4 + 9/7 + 45/34 + 15/11 + 45/32 + 45/31 + 3/2 + 45/29 + 45/28 + 5/3 + 45/26 + 9/5 + 15/8 + 45/23 + 45/22 + 15/7 + 9/4 + 45/19 + 5/2 + 45/17 + 45/16 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD3 48-16.scl b/resources/data/tuning-library/SCL/SD3 48-16.scl new file mode 100644 index 00000000000..710b6ad14c7 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD3 48-16.scl @@ -0,0 +1,37 @@ +! D:\Scala Batch\SD3 48-16.scl +! +SD3 48-16 - Subharmonic division of 3: Subharmonics 48-16 + 32 +! + 48/47 + 24/23 + 16/15 + 12/11 + 48/43 + 8/7 + 48/41 + 6/5 + 16/13 + 24/19 + 48/37 + 4/3 + 48/35 + 24/17 + 16/11 + 3/2 + 48/31 + 8/5 + 48/29 + 12/7 + 16/9 + 24/13 + 48/25 + 2/1 + 48/23 + 24/11 + 16/7 + 12/5 + 48/19 + 8/3 + 48/17 + 3/1 diff --git a/resources/data/tuning-library/SCL/SD4 16-04.scl b/resources/data/tuning-library/SCL/SD4 16-04.scl new file mode 100644 index 00000000000..7ae18863946 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 16-04.scl @@ -0,0 +1,17 @@ +! D:\Scala Batch\SD4 16-04.scl +! +SD4 16-04 - Subharmonic division of 4: Subharmonics 16-04 + 12 +! + 16/15 + 8/7 + 16/13 + 4/3 + 16/11 + 8/5 + 16/9 + 2/1 + 16/7 + 8/3 + 16/5 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 20-05.scl b/resources/data/tuning-library/SCL/SD4 20-05.scl new file mode 100644 index 00000000000..b5788f0f8fa --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 20-05.scl @@ -0,0 +1,20 @@ +! D:\Scala Batch\SD4 20-05.scl +! +SD4 20-05 - Subharmonic division of 4: Subharmonics 20-05 + 15 +! + 20/19 + 10/9 + 20/17 + 5/4 + 4/3 + 10/7 + 20/13 + 5/3 + 20/11 + 2/1 + 20/9 + 5/2 + 20/7 + 10/3 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 24-06.scl b/resources/data/tuning-library/SCL/SD4 24-06.scl new file mode 100644 index 00000000000..3777e6774b1 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 24-06.scl @@ -0,0 +1,23 @@ +! D:\Scala Batch\SD4 24-06.scl +! +SD4 24-06 - Subharmonic division of 4: Subharmonics 24-06 + 18 +! + 24/23 + 12/11 + 8/7 + 6/5 + 24/19 + 4/3 + 24/17 + 3/2 + 8/5 + 12/7 + 24/13 + 2/1 + 24/11 + 12/5 + 8/3 + 3/1 + 24/7 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 28-07.scl b/resources/data/tuning-library/SCL/SD4 28-07.scl new file mode 100644 index 00000000000..445f46fd59e --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 28-07.scl @@ -0,0 +1,26 @@ +! D:\Scala Batch\SD4 28-07.scl +! +SD4 28-07 - Subharmonic division of 4: Subharmonics 28-07 + 21 +! + 28/27 + 14/13 + 28/25 + 7/6 + 28/23 + 14/11 + 4/3 + 7/5 + 28/19 + 14/9 + 28/17 + 7/4 + 28/15 + 2/1 + 28/13 + 7/3 + 28/11 + 14/5 + 28/9 + 7/2 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 32-08.scl b/resources/data/tuning-library/SCL/SD4 32-08.scl new file mode 100644 index 00000000000..d90b314dc57 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 32-08.scl @@ -0,0 +1,29 @@ +! D:\Scala Batch\SD4 32-08.scl +! +SD4 32-08 - Subharmonic division of 4: Subharmonics 32-08 + 24 +! + 32/31 + 16/15 + 32/29 + 8/7 + 32/27 + 16/13 + 32/25 + 4/3 + 32/23 + 16/11 + 32/21 + 8/5 + 32/19 + 16/9 + 32/17 + 2/1 + 32/15 + 16/7 + 32/13 + 8/3 + 32/11 + 16/5 + 32/9 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 36-09.scl b/resources/data/tuning-library/SCL/SD4 36-09.scl new file mode 100644 index 00000000000..cf9446a5136 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 36-09.scl @@ -0,0 +1,32 @@ +! D:\Scala Batch\SD4 36-09.scl +! +SD4 36-09 - Subharmonic division of 4: Subharmonics 36-09 + 27 +! + 36/35 + 18/17 + 12/11 + 9/8 + 36/31 + 6/5 + 36/29 + 9/7 + 4/3 + 18/13 + 36/25 + 3/2 + 36/23 + 18/11 + 12/7 + 9/5 + 36/19 + 2/1 + 36/17 + 9/4 + 12/5 + 18/7 + 36/13 + 3/1 + 36/11 + 18/5 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 40-10.scl b/resources/data/tuning-library/SCL/SD4 40-10.scl new file mode 100644 index 00000000000..4360daebce5 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 40-10.scl @@ -0,0 +1,35 @@ +! D:\Scala Batch\SD4 40-10.scl +! +SD4 40-10 - Subharmonic division of 4: Subharmonics 40-10 + 30 +! + 40/39 + 20/19 + 40/37 + 10/9 + 8/7 + 20/17 + 40/33 + 5/4 + 40/31 + 4/3 + 40/29 + 10/7 + 40/27 + 20/13 + 8/5 + 5/3 + 40/23 + 20/11 + 40/21 + 2/1 + 40/19 + 20/9 + 40/17 + 5/2 + 8/3 + 20/7 + 40/13 + 10/3 + 40/11 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 44-11.scl b/resources/data/tuning-library/SCL/SD4 44-11.scl new file mode 100644 index 00000000000..7e6421f30d9 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 44-11.scl @@ -0,0 +1,38 @@ +! D:\Scala Batch\SD4 44-11.scl +! +SD4 44-11 - Subharmonic division of 4: Subharmonics 44-11 + 33 +! + 44/43 + 22/21 + 44/41 + 11/10 + 44/39 + 22/19 + 44/37 + 11/9 + 44/35 + 22/17 + 4/3 + 11/8 + 44/31 + 22/15 + 44/29 + 11/7 + 44/27 + 22/13 + 44/25 + 11/6 + 44/23 + 2/1 + 44/21 + 11/5 + 44/19 + 22/9 + 44/17 + 11/4 + 44/15 + 22/7 + 44/13 + 11/3 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 48-12.scl b/resources/data/tuning-library/SCL/SD4 48-12.scl new file mode 100644 index 00000000000..006132c9431 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 48-12.scl @@ -0,0 +1,41 @@ +! D:\Scala Batch\SD4 48-12.scl +! + + 36 +! + 48/47 + 24/23 + 16/15 + 12/11 + 48/43 + 8/7 + 48/41 + 6/5 + 16/13 + 24/19 + 48/37 + 4/3 + 48/35 + 24/17 + 16/11 + 3/2 + 48/31 + 8/5 + 48/29 + 12/7 + 16/9 + 24/13 + 48/25 + 2/1 + 48/23 + 24/11 + 16/7 + 12/5 + 48/19 + 8/3 + 48/17 + 3/1 + 16/5 + 24/7 + 48/13 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 52-13.scl b/resources/data/tuning-library/SCL/SD4 52-13.scl new file mode 100644 index 00000000000..be64c4e3071 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 52-13.scl @@ -0,0 +1,44 @@ +! D:\Scala Batch\SD4 52-13.scl +! +SD4 52-13 - Subharmonic division of 4: Subharmonics 52-13 + 39 +! + 52/51 + 26/25 + 52/49 + 13/12 + 52/47 + 26/23 + 52/45 + 13/11 + 52/43 + 26/21 + 52/41 + 13/10 + 4/3 + 26/19 + 52/37 + 13/9 + 52/35 + 26/17 + 52/33 + 13/8 + 52/31 + 26/15 + 52/29 + 13/7 + 52/27 + 2/1 + 52/25 + 13/6 + 52/23 + 26/11 + 52/21 + 13/5 + 52/19 + 26/9 + 52/17 + 13/4 + 52/15 + 26/7 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 56-14.scl b/resources/data/tuning-library/SCL/SD4 56-14.scl new file mode 100644 index 00000000000..23aa3aaaa10 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 56-14.scl @@ -0,0 +1,47 @@ +! D:\Scala Batch\SD4 56-14.scl +! +SD4 56-14 - Subharmonic division of 4: Subharmonics 56-14 + 42 +! + 56/55 + 28/27 + 56/53 + 14/13 + 56/51 + 28/25 + 8/7 + 7/6 + 56/47 + 28/23 + 56/45 + 14/11 + 56/43 + 4/3 + 56/41 + 7/5 + 56/39 + 28/19 + 56/37 + 14/9 + 8/5 + 28/17 + 56/33 + 7/4 + 56/31 + 28/15 + 56/29 + 2/1 + 56/27 + 28/13 + 56/25 + 7/3 + 56/23 + 28/11 + 8/3 + 14/5 + 56/19 + 28/9 + 56/17 + 7/2 + 56/15 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 60-15.scl b/resources/data/tuning-library/SCL/SD4 60-15.scl new file mode 100644 index 00000000000..eb6264fad61 --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 60-15.scl @@ -0,0 +1,50 @@ +! D:\Scala Batch\SD4 60-15.scl +! +SD4 60-15 - Subharmonic division of 4: Subharmonics 60-15 + 45 +! + 60/59 + 30/29 + 20/19 + 15/14 + 12/11 + 10/9 + 60/53 + 15/13 + 20/17 + 6/5 + 60/49 + 5/4 + 60/47 + 30/23 + 4/3 + 15/11 + 60/43 + 10/7 + 60/41 + 3/2 + 20/13 + 30/19 + 60/37 + 5/3 + 12/7 + 30/17 + 20/11 + 15/8 + 60/31 + 2/1 + 60/29 + 15/7 + 20/9 + 30/13 + 12/5 + 5/2 + 60/23 + 30/11 + 20/7 + 3/1 + 60/19 + 10/3 + 60/17 + 15/4 + 4/1 diff --git a/resources/data/tuning-library/SCL/SD4 64-16.scl b/resources/data/tuning-library/SCL/SD4 64-16.scl new file mode 100644 index 00000000000..a13c6d6fb4f --- /dev/null +++ b/resources/data/tuning-library/SCL/SD4 64-16.scl @@ -0,0 +1,53 @@ +! D:\Scala Batch\SD4 64-16.scl +! +SD4 64-16 - Subharmonic division of 4: Subharmonics 64-16 + 48 +! + 64/63 + 32/31 + 64/61 + 16/15 + 64/59 + 32/29 + 64/57 + 8/7 + 64/55 + 32/27 + 64/53 + 16/13 + 64/51 + 32/25 + 64/49 + 4/3 + 64/47 + 32/23 + 64/45 + 16/11 + 64/43 + 32/21 + 64/41 + 8/5 + 64/39 + 32/19 + 64/37 + 16/9 + 64/35 + 32/17 + 64/33 + 2/1 + 64/31 + 32/15 + 64/29 + 16/7 + 64/27 + 32/13 + 64/25 + 8/3 + 64/23 + 32/11 + 64/21 + 16/5 + 64/19 + 32/9 + 64/17 + 4/1 diff --git a/resources/data/tuning-library/SCL/Wendy Carlos - Alpha.scl b/resources/data/tuning-library/SCL/Wendy Carlos - Alpha.scl new file mode 100644 index 00000000000..107dc3e9fb1 --- /dev/null +++ b/resources/data/tuning-library/SCL/Wendy Carlos - Alpha.scl @@ -0,0 +1,21 @@ +! D:\Scala Batch\Wendy Carlos - Alpha.scl +! +Wendy Carlos - Alpha (78.0 Cents) + 16 +! + 78.00000 + 156.00000 + 234.00000 + 312.00000 + 390.00000 + 468.00000 + 546.00000 + 624.00000 + 702.00000 + 780.00000 + 858.00000 + 936.00000 + 1014.00000 + 1092.00000 + 1170.00000 + 1248.00000 diff --git a/resources/data/tuning-library/SCL/Wendy Carlos - Beta.scl b/resources/data/tuning-library/SCL/Wendy Carlos - Beta.scl new file mode 100644 index 00000000000..608032e6cde --- /dev/null +++ b/resources/data/tuning-library/SCL/Wendy Carlos - Beta.scl @@ -0,0 +1,24 @@ +! D:\Scala Batch\Wendy Carlos - Beta.scl +! +Wendy Carlos - Beta (63.8 Cents) + 19 +! + 63.80000 + 127.60000 + 191.40000 + 255.20000 + 319.00000 + 382.80000 + 446.60000 + 510.40000 + 574.20000 + 638.00000 + 701.80000 + 765.60000 + 829.40000 + 893.20000 + 957.00000 + 1020.80000 + 1084.60000 + 1148.40000 + 1212.20000 diff --git a/resources/data/tuning-library/SCL/Wendy Carlos - Gamma.scl b/resources/data/tuning-library/SCL/Wendy Carlos - Gamma.scl new file mode 100644 index 00000000000..703bac177cf --- /dev/null +++ b/resources/data/tuning-library/SCL/Wendy Carlos - Gamma.scl @@ -0,0 +1,40 @@ +! D:\Scala Batch\Wendy Carlos - Gamma.scl +! +Wendy Carlos - Gamma (35.1 Cents) + 35 +! + 35.10000 + 70.20000 + 105.30000 + 140.40000 + 175.50000 + 210.60000 + 245.70000 + 280.80000 + 315.90000 + 351.00000 + 386.10000 + 421.20000 + 456.30000 + 491.40000 + 526.50000 + 561.60000 + 596.70000 + 631.80000 + 666.90000 + 702.00000 + 737.10000 + 772.20000 + 807.30000 + 842.40000 + 877.50000 + 912.60000 + 947.70000 + 982.80000 + 1017.90000 + 1053.00000 + 1088.10000 + 1123.20000 + 1158.30000 + 1193.40000 + 1228.50000 diff --git a/resources/data/tuning-library/Surge Virtual Instrument Microtuning Library Documentation.txt b/resources/data/tuning-library/Surge Virtual Instrument Microtuning Library Documentation.txt new file mode 100644 index 00000000000..46b6d23985e --- /dev/null +++ b/resources/data/tuning-library/Surge Virtual Instrument Microtuning Library Documentation.txt @@ -0,0 +1,3514 @@ +| +12 Tone Equal Temperament | ED2-12 - Equal division of harmonic 2 into 12 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 100.000 cents 100.000000 + 2: 200.000 cents 200.000000 + 3: 300.000 cents 300.000000 + 4: 400.000 cents 400.000000 + 5: 500.000 cents 500.000000 + 6: 600.000 cents 600.000000 + 7: 700.000 cents 700.000000 + 8: 800.000 cents 800.000000 + 9: 900.000 cents 900.000000 + 10: 1000.000 cents 1000.000000 + 11: 1100.000 cents 1100.000000 + 12: 2/1 1200.000000 octave +| +Bohlen-Pierce: ED3-13 - Equal division of harmonic 3 into 13 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 146.304 cents 146.304230 + 2: 292.608 cents 292.608460 + 3: 438.913 cents 438.912690 + 4: 585.217 cents 585.216920 + 5: 731.521 cents 731.521150 + 6: 877.825 cents 877.825390 + 7: 1024.130 cents 1024.129620 + 8: 1170.434 cents 1170.433850 + 9: 1316.738 cents 1316.738080 + 10: 1463.042 cents 1463.042310 + 11: 1609.347 cents 1609.346540 + 12: 1755.651 cents 1755.650770 + 13: 3/1 1901.955001 perfect 12th +| +ED2-05 - Equal division of harmonic 2 into 5 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 240.000 cents 240.000000 + 2: 480.000 cents 480.000000 + 3: 720.000 cents 720.000000 + 4: 960.000 cents 960.000000 + 5: 2/1 1200.000000 octave +| +ED2-06 - Equal division of harmonic 2 into 6 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 200.000 cents 200.000000 + 2: 400.000 cents 400.000000 + 3: 600.000 cents 600.000000 + 4: 800.000 cents 800.000000 + 5: 1000.000 cents 1000.000000 + 6: 2/1 1200.000000 octave +| +ED2-07 - Equal division of harmonic 2 into 7 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 171.429 cents 171.428570 + 2: 342.857 cents 342.857140 + 3: 514.286 cents 514.285710 + 4: 685.714 cents 685.714290 + 5: 857.143 cents 857.142860 + 6: 1028.571 cents 1028.571430 + 7: 2/1 1200.000000 octave +| +ED2-08 - Equal division of harmonic 2 into 8 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 150.000 cents 150.000000 + 2: 300.000 cents 300.000000 + 3: 450.000 cents 450.000000 + 4: 600.000 cents 600.000000 + 5: 750.000 cents 750.000000 + 6: 900.000 cents 900.000000 + 7: 1050.000 cents 1050.000000 + 8: 2/1 1200.000000 octave +| +ED2-09 - Equal division of harmonic 2 into 9 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 133.333 cents 133.333330 + 2: 266.667 cents 266.666670 + 3: 400.000 cents 400.000000 + 4: 533.333 cents 533.333330 + 5: 666.667 cents 666.666670 + 6: 800.000 cents 800.000000 + 7: 933.333 cents 933.333330 + 8: 1066.667 cents 1066.666670 + 9: 2/1 1200.000000 octave +| +ED2-10 - Equal division of harmonic 2 into 10 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 120.000 cents 120.000000 + 2: 240.000 cents 240.000000 + 3: 360.000 cents 360.000000 + 4: 480.000 cents 480.000000 + 5: 600.000 cents 600.000000 + 6: 720.000 cents 720.000000 + 7: 840.000 cents 840.000000 + 8: 960.000 cents 960.000000 + 9: 1080.000 cents 1080.000000 + 10: 2/1 1200.000000 octave +| +ED2-11 - Equal division of harmonic 2 into 11 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 109.091 cents 109.090910 + 2: 218.182 cents 218.181820 + 3: 327.273 cents 327.272730 + 4: 436.364 cents 436.363640 + 5: 545.455 cents 545.454550 + 6: 654.545 cents 654.545450 + 7: 763.636 cents 763.636360 + 8: 872.727 cents 872.727270 + 9: 981.818 cents 981.818180 + 10: 1090.909 cents 1090.909090 + 11: 2/1 1200.000000 octave +| +ED2-12 - Equal division of harmonic 2 into 12 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 100.000 cents 100.000000 + 2: 200.000 cents 200.000000 + 3: 300.000 cents 300.000000 + 4: 400.000 cents 400.000000 + 5: 500.000 cents 500.000000 + 6: 600.000 cents 600.000000 + 7: 700.000 cents 700.000000 + 8: 800.000 cents 800.000000 + 9: 900.000 cents 900.000000 + 10: 1000.000 cents 1000.000000 + 11: 1100.000 cents 1100.000000 + 12: 2/1 1200.000000 octave +| +ED2-13 - Equal division of harmonic 2 into 13 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 92.308 cents 92.307690 + 2: 184.615 cents 184.615380 + 3: 276.923 cents 276.923080 + 4: 369.231 cents 369.230770 + 5: 461.538 cents 461.538460 + 6: 553.846 cents 553.846150 + 7: 646.154 cents 646.153850 + 8: 738.462 cents 738.461540 + 9: 830.769 cents 830.769230 + 10: 923.077 cents 923.076920 + 11: 1015.385 cents 1015.384620 + 12: 1107.692 cents 1107.692310 + 13: 2/1 1200.000000 octave +| +ED2-14 - Equal division of harmonic 2 into 14 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 85.714 cents 85.714290 + 2: 171.429 cents 171.428570 + 3: 257.143 cents 257.142860 + 4: 342.857 cents 342.857140 + 5: 428.571 cents 428.571430 + 6: 514.286 cents 514.285710 + 7: 600.000 cents 600.000000 + 8: 685.714 cents 685.714290 + 9: 771.429 cents 771.428570 + 10: 857.143 cents 857.142860 + 11: 942.857 cents 942.857140 + 12: 1028.571 cents 1028.571430 + 13: 1114.286 cents 1114.285710 + 14: 2/1 1200.000000 octave +| +ED2-15 - Equal division of harmonic 2 into 15 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 80.000 cents 80.000000 + 2: 160.000 cents 160.000000 + 3: 240.000 cents 240.000000 + 4: 320.000 cents 320.000000 + 5: 400.000 cents 400.000000 + 6: 480.000 cents 480.000000 + 7: 560.000 cents 560.000000 + 8: 640.000 cents 640.000000 + 9: 720.000 cents 720.000000 + 10: 800.000 cents 800.000000 + 11: 880.000 cents 880.000000 + 12: 960.000 cents 960.000000 + 13: 1040.000 cents 1040.000000 + 14: 1120.000 cents 1120.000000 + 15: 2/1 1200.000000 octave +| +ED2-16 - Equal division of harmonic 2 into 16 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 75.000 cents 75.000000 + 2: 150.000 cents 150.000000 + 3: 225.000 cents 225.000000 + 4: 300.000 cents 300.000000 + 5: 375.000 cents 375.000000 + 6: 450.000 cents 450.000000 + 7: 525.000 cents 525.000000 + 8: 600.000 cents 600.000000 + 9: 675.000 cents 675.000000 + 10: 750.000 cents 750.000000 + 11: 825.000 cents 825.000000 + 12: 900.000 cents 900.000000 + 13: 975.000 cents 975.000000 + 14: 1050.000 cents 1050.000000 + 15: 1125.000 cents 1125.000000 + 16: 2/1 1200.000000 octave +| +ED2-17 - Equal division of harmonic 2 into 17 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 70.588 cents 70.588240 + 2: 141.176 cents 141.176470 + 3: 211.765 cents 211.764710 + 4: 282.353 cents 282.352940 + 5: 352.941 cents 352.941180 + 6: 423.529 cents 423.529410 + 7: 494.118 cents 494.117650 + 8: 564.706 cents 564.705880 + 9: 635.294 cents 635.294120 + 10: 705.882 cents 705.882350 + 11: 776.471 cents 776.470590 + 12: 847.059 cents 847.058820 + 13: 917.647 cents 917.647060 + 14: 988.235 cents 988.235290 + 15: 1058.824 cents 1058.823530 + 16: 1129.412 cents 1129.411760 + 17: 2/1 1200.000000 octave +| +ED2-18 - Equal division of harmonic 2 into 18 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 66.667 cents 66.666670 + 2: 133.333 cents 133.333330 + 3: 200.000 cents 200.000000 + 4: 266.667 cents 266.666670 + 5: 333.333 cents 333.333330 + 6: 400.000 cents 400.000000 + 7: 466.667 cents 466.666670 + 8: 533.333 cents 533.333330 + 9: 600.000 cents 600.000000 + 10: 666.667 cents 666.666670 + 11: 733.333 cents 733.333330 + 12: 800.000 cents 800.000000 + 13: 866.667 cents 866.666670 + 14: 933.333 cents 933.333330 + 15: 1000.000 cents 1000.000000 + 16: 1066.667 cents 1066.666670 + 17: 1133.333 cents 1133.333330 + 18: 2/1 1200.000000 octave +| +ED2-19 - Equal division of harmonic 2 into 19 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 63.158 cents 63.157890 + 2: 126.316 cents 126.315790 + 3: 189.474 cents 189.473680 + 4: 252.632 cents 252.631580 + 5: 315.789 cents 315.789470 + 6: 378.947 cents 378.947370 + 7: 442.105 cents 442.105260 + 8: 505.263 cents 505.263160 + 9: 568.421 cents 568.421050 + 10: 631.579 cents 631.578950 + 11: 694.737 cents 694.736840 + 12: 757.895 cents 757.894740 + 13: 821.053 cents 821.052630 + 14: 884.211 cents 884.210530 + 15: 947.368 cents 947.368420 + 16: 1010.526 cents 1010.526320 + 17: 1073.684 cents 1073.684210 + 18: 1136.842 cents 1136.842110 + 19: 2/1 1200.000000 octave +| +ED2-20 - Equal division of harmonic 2 into 20 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 60.000 cents 60.000000 + 2: 120.000 cents 120.000000 + 3: 180.000 cents 180.000000 + 4: 240.000 cents 240.000000 + 5: 300.000 cents 300.000000 + 6: 360.000 cents 360.000000 + 7: 420.000 cents 420.000000 + 8: 480.000 cents 480.000000 + 9: 540.000 cents 540.000000 + 10: 600.000 cents 600.000000 + 11: 660.000 cents 660.000000 + 12: 720.000 cents 720.000000 + 13: 780.000 cents 780.000000 + 14: 840.000 cents 840.000000 + 15: 900.000 cents 900.000000 + 16: 960.000 cents 960.000000 + 17: 1020.000 cents 1020.000000 + 18: 1080.000 cents 1080.000000 + 19: 1140.000 cents 1140.000000 + 20: 2/1 1200.000000 octave +| +ED2-21 - Equal division of harmonic 2 into 21 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 57.143 cents 57.142860 + 2: 114.286 cents 114.285710 + 3: 171.429 cents 171.428570 + 4: 228.571 cents 228.571430 + 5: 285.714 cents 285.714290 + 6: 342.857 cents 342.857140 + 7: 400.000 cents 400.000000 + 8: 457.143 cents 457.142860 + 9: 514.286 cents 514.285710 + 10: 571.429 cents 571.428570 + 11: 628.571 cents 628.571430 + 12: 685.714 cents 685.714290 + 13: 742.857 cents 742.857140 + 14: 800.000 cents 800.000000 + 15: 857.143 cents 857.142860 + 16: 914.286 cents 914.285710 + 17: 971.429 cents 971.428570 + 18: 1028.571 cents 1028.571430 + 19: 1085.714 cents 1085.714290 + 20: 1142.857 cents 1142.857140 + 21: 2/1 1200.000000 octave +| +ED2-22 - Equal division of harmonic 2 into 22 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 54.545 cents 54.545450 + 2: 109.091 cents 109.090910 + 3: 163.636 cents 163.636360 + 4: 218.182 cents 218.181820 + 5: 272.727 cents 272.727270 + 6: 327.273 cents 327.272730 + 7: 381.818 cents 381.818180 + 8: 436.364 cents 436.363640 + 9: 490.909 cents 490.909090 + 10: 545.455 cents 545.454550 + 11: 600.000 cents 600.000000 + 12: 654.545 cents 654.545450 + 13: 709.091 cents 709.090910 + 14: 763.636 cents 763.636360 + 15: 818.182 cents 818.181820 + 16: 872.727 cents 872.727270 + 17: 927.273 cents 927.272730 + 18: 981.818 cents 981.818180 + 19: 1036.364 cents 1036.363640 + 20: 1090.909 cents 1090.909090 + 21: 1145.455 cents 1145.454550 + 22: 2/1 1200.000000 octave +| +ED2-23 - Equal division of harmonic 2 into 23 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 52.174 cents 52.173910 + 2: 104.348 cents 104.347830 + 3: 156.522 cents 156.521740 + 4: 208.696 cents 208.695650 + 5: 260.870 cents 260.869570 + 6: 313.043 cents 313.043480 + 7: 365.217 cents 365.217390 + 8: 417.391 cents 417.391300 + 9: 469.565 cents 469.565220 + 10: 521.739 cents 521.739130 + 11: 573.913 cents 573.913040 + 12: 626.087 cents 626.086960 + 13: 678.261 cents 678.260870 + 14: 730.435 cents 730.434780 + 15: 782.609 cents 782.608700 + 16: 834.783 cents 834.782610 + 17: 886.957 cents 886.956520 + 18: 939.130 cents 939.130430 + 19: 991.304 cents 991.304350 + 20: 1043.478 cents 1043.478260 + 21: 1095.652 cents 1095.652170 + 22: 1147.826 cents 1147.826090 + 23: 2/1 1200.000000 octave +| +ED2-24 - Equal division of harmonic 2 into 24 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 50.000 cents 50.000000 + 2: 100.000 cents 100.000000 + 3: 150.000 cents 150.000000 + 4: 200.000 cents 200.000000 + 5: 250.000 cents 250.000000 + 6: 300.000 cents 300.000000 + 7: 350.000 cents 350.000000 + 8: 400.000 cents 400.000000 + 9: 450.000 cents 450.000000 + 10: 500.000 cents 500.000000 + 11: 550.000 cents 550.000000 + 12: 600.000 cents 600.000000 + 13: 650.000 cents 650.000000 + 14: 700.000 cents 700.000000 + 15: 750.000 cents 750.000000 + 16: 800.000 cents 800.000000 + 17: 850.000 cents 850.000000 + 18: 900.000 cents 900.000000 + 19: 950.000 cents 950.000000 + 20: 1000.000 cents 1000.000000 + 21: 1050.000 cents 1050.000000 + 22: 1100.000 cents 1100.000000 + 23: 1150.000 cents 1150.000000 + 24: 2/1 1200.000000 octave +| +ED2-25 - Equal division of harmonic 2 into 25 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 48.000 cents 48.000000 + 2: 96.000 cents 96.000000 + 3: 144.000 cents 144.000000 + 4: 192.000 cents 192.000000 + 5: 240.000 cents 240.000000 + 6: 288.000 cents 288.000000 + 7: 336.000 cents 336.000000 + 8: 384.000 cents 384.000000 + 9: 432.000 cents 432.000000 + 10: 480.000 cents 480.000000 + 11: 528.000 cents 528.000000 + 12: 576.000 cents 576.000000 + 13: 624.000 cents 624.000000 + 14: 672.000 cents 672.000000 + 15: 720.000 cents 720.000000 + 16: 768.000 cents 768.000000 + 17: 816.000 cents 816.000000 + 18: 864.000 cents 864.000000 + 19: 912.000 cents 912.000000 + 20: 960.000 cents 960.000000 + 21: 1008.000 cents 1008.000000 + 22: 1056.000 cents 1056.000000 + 23: 1104.000 cents 1104.000000 + 24: 1152.000 cents 1152.000000 + 25: 2/1 1200.000000 octave +| +ED2-26 - Equal division of harmonic 2 into 26 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 46.154 cents 46.153850 + 2: 92.308 cents 92.307690 + 3: 138.462 cents 138.461540 + 4: 184.615 cents 184.615380 + 5: 230.769 cents 230.769230 + 6: 276.923 cents 276.923080 + 7: 323.077 cents 323.076920 + 8: 369.231 cents 369.230770 + 9: 415.385 cents 415.384620 + 10: 461.538 cents 461.538460 + 11: 507.692 cents 507.692310 + 12: 553.846 cents 553.846150 + 13: 600.000 cents 600.000000 + 14: 646.154 cents 646.153850 + 15: 692.308 cents 692.307690 + 16: 738.462 cents 738.461540 + 17: 784.615 cents 784.615380 + 18: 830.769 cents 830.769230 + 19: 876.923 cents 876.923080 + 20: 923.077 cents 923.076920 + 21: 969.231 cents 969.230770 + 22: 1015.385 cents 1015.384620 + 23: 1061.538 cents 1061.538460 + 24: 1107.692 cents 1107.692310 + 25: 1153.846 cents 1153.846150 + 26: 2/1 1200.000000 octave +| +ED2-27 - Equal division of harmonic 2 into 27 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 44.444 cents 44.444440 + 2: 88.889 cents 88.888890 + 3: 133.333 cents 133.333330 + 4: 177.778 cents 177.777780 + 5: 222.222 cents 222.222220 + 6: 266.667 cents 266.666670 + 7: 311.111 cents 311.111110 + 8: 355.556 cents 355.555560 + 9: 400.000 cents 400.000000 + 10: 444.444 cents 444.444440 + 11: 488.889 cents 488.888890 + 12: 533.333 cents 533.333330 + 13: 577.778 cents 577.777780 + 14: 622.222 cents 622.222220 + 15: 666.667 cents 666.666670 + 16: 711.111 cents 711.111110 + 17: 755.556 cents 755.555560 + 18: 800.000 cents 800.000000 + 19: 844.444 cents 844.444440 + 20: 888.889 cents 888.888890 + 21: 933.333 cents 933.333330 + 22: 977.778 cents 977.777780 + 23: 1022.222 cents 1022.222220 + 24: 1066.667 cents 1066.666670 + 25: 1111.111 cents 1111.111110 + 26: 1155.556 cents 1155.555560 + 27: 2/1 1200.000000 octave +| +ED2-28 - Equal division of harmonic 2 into 28 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 42.857 cents 42.857140 + 2: 85.714 cents 85.714290 + 3: 128.571 cents 128.571430 + 4: 171.429 cents 171.428570 + 5: 214.286 cents 214.285710 + 6: 257.143 cents 257.142860 + 7: 300.000 cents 300.000000 + 8: 342.857 cents 342.857140 + 9: 385.714 cents 385.714290 + 10: 428.571 cents 428.571430 + 11: 471.429 cents 471.428570 + 12: 514.286 cents 514.285710 + 13: 557.143 cents 557.142860 + 14: 600.000 cents 600.000000 + 15: 642.857 cents 642.857140 + 16: 685.714 cents 685.714290 + 17: 728.571 cents 728.571430 + 18: 771.429 cents 771.428570 + 19: 814.286 cents 814.285710 + 20: 857.143 cents 857.142860 + 21: 900.000 cents 900.000000 + 22: 942.857 cents 942.857140 + 23: 985.714 cents 985.714290 + 24: 1028.571 cents 1028.571430 + 25: 1071.429 cents 1071.428570 + 26: 1114.286 cents 1114.285710 + 27: 1157.143 cents 1157.142860 + 28: 2/1 1200.000000 octave +| +ED2-29 - Equal division of harmonic 2 into 29 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 41.379 cents 41.379310 + 2: 82.759 cents 82.758620 + 3: 124.138 cents 124.137930 + 4: 165.517 cents 165.517240 + 5: 206.897 cents 206.896550 + 6: 248.276 cents 248.275860 + 7: 289.655 cents 289.655170 + 8: 331.034 cents 331.034480 + 9: 372.414 cents 372.413790 + 10: 413.793 cents 413.793100 + 11: 455.172 cents 455.172410 + 12: 496.552 cents 496.551720 + 13: 537.931 cents 537.931030 + 14: 579.310 cents 579.310340 + 15: 620.690 cents 620.689660 + 16: 662.069 cents 662.068970 + 17: 703.448 cents 703.448280 + 18: 744.828 cents 744.827590 + 19: 786.207 cents 786.206900 + 20: 827.586 cents 827.586210 + 21: 868.966 cents 868.965520 + 22: 910.345 cents 910.344830 + 23: 951.724 cents 951.724140 + 24: 993.103 cents 993.103450 + 25: 1034.483 cents 1034.482760 + 26: 1075.862 cents 1075.862070 + 27: 1117.241 cents 1117.241380 + 28: 1158.621 cents 1158.620690 + 29: 2/1 1200.000000 octave +| +ED2-30 - Equal division of harmonic 2 into 30 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 40.000 cents 40.000000 + 2: 80.000 cents 80.000000 + 3: 120.000 cents 120.000000 + 4: 160.000 cents 160.000000 + 5: 200.000 cents 200.000000 + 6: 240.000 cents 240.000000 + 7: 280.000 cents 280.000000 + 8: 320.000 cents 320.000000 + 9: 360.000 cents 360.000000 + 10: 400.000 cents 400.000000 + 11: 440.000 cents 440.000000 + 12: 480.000 cents 480.000000 + 13: 520.000 cents 520.000000 + 14: 560.000 cents 560.000000 + 15: 600.000 cents 600.000000 + 16: 640.000 cents 640.000000 + 17: 680.000 cents 680.000000 + 18: 720.000 cents 720.000000 + 19: 760.000 cents 760.000000 + 20: 800.000 cents 800.000000 + 21: 840.000 cents 840.000000 + 22: 880.000 cents 880.000000 + 23: 920.000 cents 920.000000 + 24: 960.000 cents 960.000000 + 25: 1000.000 cents 1000.000000 + 26: 1040.000 cents 1040.000000 + 27: 1080.000 cents 1080.000000 + 28: 1120.000 cents 1120.000000 + 29: 1160.000 cents 1160.000000 + 30: 2/1 1200.000000 octave +| +ED2-31 - Equal division of harmonic 2 into 31 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 38.710 cents 38.709680 + 2: 77.419 cents 77.419350 + 3: 116.129 cents 116.129030 + 4: 154.839 cents 154.838710 + 5: 193.548 cents 193.548390 + 6: 232.258 cents 232.258060 + 7: 270.968 cents 270.967740 + 8: 309.677 cents 309.677420 + 9: 348.387 cents 348.387100 + 10: 387.097 cents 387.096770 + 11: 425.806 cents 425.806450 + 12: 464.516 cents 464.516130 + 13: 503.226 cents 503.225810 + 14: 541.935 cents 541.935480 + 15: 580.645 cents 580.645160 + 16: 619.355 cents 619.354840 + 17: 658.065 cents 658.064520 + 18: 696.774 cents 696.774190 + 19: 735.484 cents 735.483870 + 20: 774.194 cents 774.193550 + 21: 812.903 cents 812.903230 + 22: 851.613 cents 851.612900 + 23: 890.323 cents 890.322580 + 24: 929.032 cents 929.032260 + 25: 967.742 cents 967.741940 + 26: 1006.452 cents 1006.451610 + 27: 1045.161 cents 1045.161290 + 28: 1083.871 cents 1083.870970 + 29: 1122.581 cents 1122.580650 + 30: 1161.290 cents 1161.290320 + 31: 2/1 1200.000000 octave +| +ED3-07 - Equal division of harmonic 3 into 7 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 271.708 cents 271.707860 + 2: 543.416 cents 543.415710 + 3: 815.124 cents 815.123570 + 4: 1086.831 cents 1086.831430 + 5: 1358.539 cents 1358.539290 + 6: 1630.247 cents 1630.247140 + 7: 3/1 1901.955001 perfect 12th +| +ED3-08 - Equal division of harmonic 3 into 8 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 237.744 cents 237.744380 + 2: 475.489 cents 475.488750 + 3: 713.233 cents 713.233130 + 4: 950.977 cents 950.977500 + 5: 1188.722 cents 1188.721880 + 6: 1426.466 cents 1426.466250 + 7: 1664.211 cents 1664.210630 + 8: 3/1 1901.955001 perfect 12th +| +ED3-09 - Equal division of harmonic 3 into 9 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 211.328 cents 211.328330 + 2: 422.657 cents 422.656670 + 3: 633.985 cents 633.985000 + 4: 845.313 cents 845.313330 + 5: 1056.642 cents 1056.641670 + 6: 1267.970 cents 1267.970000 + 7: 1479.298 cents 1479.298330 + 8: 1690.627 cents 1690.626670 + 9: 3/1 1901.955001 perfect 12th +| +ED3-10 - Equal division of harmonic 3 into 10 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 190.195 cents 190.195500 + 2: 380.391 cents 380.391000 + 3: 570.587 cents 570.586500 + 4: 760.782 cents 760.782000 + 5: 950.977 cents 950.977500 + 6: 1141.173 cents 1141.173000 + 7: 1331.368 cents 1331.368500 + 8: 1521.564 cents 1521.564000 + 9: 1711.759 cents 1711.759500 + 10: 3/1 1901.955001 perfect 12th +| +ED3-11 - Equal division of harmonic 3 into 11 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 172.905 cents 172.905000 + 2: 345.810 cents 345.810000 + 3: 518.715 cents 518.715000 + 4: 691.620 cents 691.620000 + 5: 864.525 cents 864.525000 + 6: 1037.430 cents 1037.430000 + 7: 1210.335 cents 1210.335000 + 8: 1383.240 cents 1383.240000 + 9: 1556.145 cents 1556.145000 + 10: 1729.050 cents 1729.050000 + 11: 3/1 1901.955001 perfect 12th +| +ED3-12 - Equal division of harmonic 3 into 12 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 158.496 cents 158.496250 + 2: 316.993 cents 316.992500 + 3: 475.489 cents 475.488750 + 4: 633.985 cents 633.985000 + 5: 792.481 cents 792.481250 + 6: 950.977 cents 950.977500 + 7: 1109.474 cents 1109.473750 + 8: 1267.970 cents 1267.970000 + 9: 1426.466 cents 1426.466250 + 10: 1584.963 cents 1584.962500 + 11: 1743.459 cents 1743.458750 + 12: 3/1 1901.955001 perfect 12th +| +ED3-13 - Equal division of harmonic 3 into 13 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 146.304 cents 146.304230 + 2: 292.608 cents 292.608460 + 3: 438.913 cents 438.912690 + 4: 585.217 cents 585.216920 + 5: 731.521 cents 731.521150 + 6: 877.825 cents 877.825390 + 7: 1024.130 cents 1024.129620 + 8: 1170.434 cents 1170.433850 + 9: 1316.738 cents 1316.738080 + 10: 1463.042 cents 1463.042310 + 11: 1609.347 cents 1609.346540 + 12: 1755.651 cents 1755.650770 + 13: 3/1 1901.955001 perfect 12th +| +ED3-14 - Equal division of harmonic 3 into 14 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 135.854 cents 135.853930 + 2: 271.708 cents 271.707860 + 3: 407.562 cents 407.561790 + 4: 543.416 cents 543.415710 + 5: 679.270 cents 679.269640 + 6: 815.124 cents 815.123570 + 7: 950.977 cents 950.977500 + 8: 1086.831 cents 1086.831430 + 9: 1222.685 cents 1222.685360 + 10: 1358.539 cents 1358.539290 + 11: 1494.393 cents 1494.393210 + 12: 1630.247 cents 1630.247140 + 13: 1766.101 cents 1766.101070 + 14: 3/1 1901.955001 perfect 12th +| +ED3-15 - Equal division of harmonic 3 into 15 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 126.797 cents 126.797000 + 2: 253.594 cents 253.594000 + 3: 380.391 cents 380.391000 + 4: 507.188 cents 507.188000 + 5: 633.985 cents 633.985000 + 6: 760.782 cents 760.782000 + 7: 887.579 cents 887.579000 + 8: 1014.376 cents 1014.376000 + 9: 1141.173 cents 1141.173000 + 10: 1267.970 cents 1267.970000 + 11: 1394.767 cents 1394.767000 + 12: 1521.564 cents 1521.564000 + 13: 1648.361 cents 1648.361000 + 14: 1775.158 cents 1775.158000 + 15: 3/1 1901.955001 perfect 12th +| +ED3-16 - Equal division of harmonic 3 into 16 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 118.872 cents 118.872190 + 2: 237.744 cents 237.744380 + 3: 356.617 cents 356.616560 + 4: 475.489 cents 475.488750 + 5: 594.361 cents 594.360940 + 6: 713.233 cents 713.233130 + 7: 832.105 cents 832.105310 + 8: 950.977 cents 950.977500 + 9: 1069.850 cents 1069.849690 + 10: 1188.722 cents 1188.721880 + 11: 1307.594 cents 1307.594060 + 12: 1426.466 cents 1426.466250 + 13: 1545.338 cents 1545.338440 + 14: 1664.211 cents 1664.210630 + 15: 1783.083 cents 1783.082810 + 16: 3/1 1901.955001 perfect 12th +| +ED3-17 - Equal division of harmonic 3 into 17 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 111.880 cents 111.879710 + 2: 223.759 cents 223.759410 + 3: 335.639 cents 335.639120 + 4: 447.519 cents 447.518820 + 5: 559.399 cents 559.398530 + 6: 671.278 cents 671.278240 + 7: 783.158 cents 783.157940 + 8: 895.038 cents 895.037650 + 9: 1006.917 cents 1006.917350 + 10: 1118.797 cents 1118.797060 + 11: 1230.677 cents 1230.676770 + 12: 1342.556 cents 1342.556470 + 13: 1454.436 cents 1454.436180 + 14: 1566.316 cents 1566.315880 + 15: 1678.196 cents 1678.195590 + 16: 1790.075 cents 1790.075290 + 17: 3/1 1901.955001 perfect 12th +| +ED3-18 - Equal division of harmonic 3 into 18 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 105.664 cents 105.664170 + 2: 211.328 cents 211.328330 + 3: 316.993 cents 316.992500 + 4: 422.657 cents 422.656670 + 5: 528.321 cents 528.320830 + 6: 633.985 cents 633.985000 + 7: 739.649 cents 739.649170 + 8: 845.313 cents 845.313330 + 9: 950.977 cents 950.977500 + 10: 1056.642 cents 1056.641670 + 11: 1162.306 cents 1162.305830 + 12: 1267.970 cents 1267.970000 + 13: 1373.634 cents 1373.634170 + 14: 1479.298 cents 1479.298330 + 15: 1584.963 cents 1584.962500 + 16: 1690.627 cents 1690.626670 + 17: 1796.291 cents 1796.290830 + 18: 3/1 1901.955001 perfect 12th +| +ED3-19 - Equal division of harmonic 3 into 19 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 100.103 cents 100.102890 + 2: 200.206 cents 200.205790 + 3: 300.309 cents 300.308680 + 4: 400.412 cents 400.411580 + 5: 500.514 cents 500.514470 + 6: 600.617 cents 600.617370 + 7: 700.720 cents 700.720260 + 8: 800.823 cents 800.823160 + 9: 900.926 cents 900.926050 + 10: 1001.029 cents 1001.028950 + 11: 1101.132 cents 1101.131840 + 12: 1201.235 cents 1201.234740 + 13: 1301.338 cents 1301.337630 + 14: 1401.441 cents 1401.440530 + 15: 1501.543 cents 1501.543420 + 16: 1601.646 cents 1601.646320 + 17: 1701.749 cents 1701.749210 + 18: 1801.852 cents 1801.852110 + 19: 3/1 1901.955001 perfect 12th +| +ED3-20 - Equal division of harmonic 3 into 20 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 95.098 cents 95.097750 + 2: 190.195 cents 190.195500 + 3: 285.293 cents 285.293250 + 4: 380.391 cents 380.391000 + 5: 475.489 cents 475.488750 + 6: 570.587 cents 570.586500 + 7: 665.684 cents 665.684250 + 8: 760.782 cents 760.782000 + 9: 855.880 cents 855.879750 + 10: 950.977 cents 950.977500 + 11: 1046.075 cents 1046.075250 + 12: 1141.173 cents 1141.173000 + 13: 1236.271 cents 1236.270750 + 14: 1331.368 cents 1331.368500 + 15: 1426.466 cents 1426.466250 + 16: 1521.564 cents 1521.564000 + 17: 1616.662 cents 1616.661750 + 18: 1711.759 cents 1711.759500 + 19: 1806.857 cents 1806.857250 + 20: 3/1 1901.955001 perfect 12th +| +ED3-21 - Equal division of harmonic 3 into 21 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 90.569 cents 90.569290 + 2: 181.139 cents 181.138570 + 3: 271.708 cents 271.707860 + 4: 362.277 cents 362.277140 + 5: 452.846 cents 452.846430 + 6: 543.416 cents 543.415710 + 7: 633.985 cents 633.985000 + 8: 724.554 cents 724.554290 + 9: 815.124 cents 815.123570 + 10: 905.693 cents 905.692860 + 11: 996.262 cents 996.262140 + 12: 1086.831 cents 1086.831430 + 13: 1177.401 cents 1177.400710 + 14: 1267.970 cents 1267.970000 + 15: 1358.539 cents 1358.539290 + 16: 1449.109 cents 1449.108570 + 17: 1539.678 cents 1539.677860 + 18: 1630.247 cents 1630.247140 + 19: 1720.816 cents 1720.816430 + 20: 1811.386 cents 1811.385720 + 21: 3/1 1901.955001 perfect 12th +| +ED3-22 - Equal division of harmonic 3 into 22 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 86.453 cents 86.452500 + 2: 172.905 cents 172.905000 + 3: 259.358 cents 259.357500 + 4: 345.810 cents 345.810000 + 5: 432.262 cents 432.262500 + 6: 518.715 cents 518.715000 + 7: 605.168 cents 605.167500 + 8: 691.620 cents 691.620000 + 9: 778.072 cents 778.072500 + 10: 864.525 cents 864.525000 + 11: 950.977 cents 950.977500 + 12: 1037.430 cents 1037.430000 + 13: 1123.882 cents 1123.882500 + 14: 1210.335 cents 1210.335000 + 15: 1296.787 cents 1296.787500 + 16: 1383.240 cents 1383.240000 + 17: 1469.693 cents 1469.692500 + 18: 1556.145 cents 1556.145000 + 19: 1642.598 cents 1642.597500 + 20: 1729.050 cents 1729.050000 + 21: 1815.503 cents 1815.502500 + 22: 3/1 1901.955001 perfect 12th +| +ED3-23 - Equal division of harmonic 3 into 23 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 82.694 cents 82.693700 + 2: 165.387 cents 165.387390 + 3: 248.081 cents 248.081090 + 4: 330.775 cents 330.774780 + 5: 413.468 cents 413.468480 + 6: 496.162 cents 496.162170 + 7: 578.856 cents 578.855870 + 8: 661.550 cents 661.549570 + 9: 744.243 cents 744.243260 + 10: 826.937 cents 826.936960 + 11: 909.631 cents 909.630650 + 12: 992.324 cents 992.324350 + 13: 1075.018 cents 1075.018040 + 14: 1157.712 cents 1157.711740 + 15: 1240.405 cents 1240.405440 + 16: 1323.099 cents 1323.099130 + 17: 1405.793 cents 1405.792830 + 18: 1488.487 cents 1488.486520 + 19: 1571.180 cents 1571.180220 + 20: 1653.874 cents 1653.873910 + 21: 1736.568 cents 1736.567610 + 22: 1819.261 cents 1819.261310 + 23: 3/1 1901.955001 perfect 12th +| +ED3-24 - Equal division of harmonic 3 into 24 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 79.248 cents 79.248130 + 2: 158.496 cents 158.496250 + 3: 237.744 cents 237.744380 + 4: 316.993 cents 316.992500 + 5: 396.241 cents 396.240630 + 6: 475.489 cents 475.488750 + 7: 554.737 cents 554.736880 + 8: 633.985 cents 633.985000 + 9: 713.233 cents 713.233130 + 10: 792.481 cents 792.481250 + 11: 871.729 cents 871.729380 + 12: 950.977 cents 950.977500 + 13: 1030.226 cents 1030.225630 + 14: 1109.474 cents 1109.473750 + 15: 1188.722 cents 1188.721880 + 16: 1267.970 cents 1267.970000 + 17: 1347.218 cents 1347.218130 + 18: 1426.466 cents 1426.466250 + 19: 1505.714 cents 1505.714380 + 20: 1584.963 cents 1584.962500 + 21: 1664.211 cents 1664.210630 + 22: 1743.459 cents 1743.458750 + 23: 1822.707 cents 1822.706880 + 24: 3/1 1901.955001 perfect 12th +| +ED3-25 - Equal division of harmonic 3 into 25 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 76.078 cents 76.078200 + 2: 152.156 cents 152.156400 + 3: 228.235 cents 228.234600 + 4: 304.313 cents 304.312800 + 5: 380.391 cents 380.391000 + 6: 456.469 cents 456.469200 + 7: 532.547 cents 532.547400 + 8: 608.626 cents 608.625600 + 9: 684.704 cents 684.703800 + 10: 760.782 cents 760.782000 + 11: 836.860 cents 836.860200 + 12: 912.938 cents 912.938400 + 13: 989.017 cents 989.016600 + 14: 1065.095 cents 1065.094800 + 15: 1141.173 cents 1141.173000 + 16: 1217.251 cents 1217.251200 + 17: 1293.329 cents 1293.329400 + 18: 1369.408 cents 1369.407600 + 19: 1445.486 cents 1445.485800 + 20: 1521.564 cents 1521.564000 + 21: 1597.642 cents 1597.642200 + 22: 1673.720 cents 1673.720400 + 23: 1749.799 cents 1749.798600 + 24: 1825.877 cents 1825.876800 + 25: 3/1 1901.955001 perfect 12th +| +ED3-26 - Equal division of harmonic 3 into 26 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 73.152 cents 73.152120 + 2: 146.304 cents 146.304230 + 3: 219.456 cents 219.456350 + 4: 292.608 cents 292.608460 + 5: 365.761 cents 365.760580 + 6: 438.913 cents 438.912690 + 7: 512.065 cents 512.064810 + 8: 585.217 cents 585.216920 + 9: 658.369 cents 658.369040 + 10: 731.521 cents 731.521150 + 11: 804.673 cents 804.673270 + 12: 877.825 cents 877.825390 + 13: 950.977 cents 950.977500 + 14: 1024.130 cents 1024.129620 + 15: 1097.282 cents 1097.281730 + 16: 1170.434 cents 1170.433850 + 17: 1243.586 cents 1243.585960 + 18: 1316.738 cents 1316.738080 + 19: 1389.890 cents 1389.890190 + 20: 1463.042 cents 1463.042310 + 21: 1536.194 cents 1536.194420 + 22: 1609.347 cents 1609.346540 + 23: 1682.499 cents 1682.498650 + 24: 1755.651 cents 1755.650770 + 25: 1828.803 cents 1828.802890 + 26: 3/1 1901.955001 perfect 12th +| +ED3-27 - Equal division of harmonic 3 into 27 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 70.443 cents 70.442780 + 2: 140.886 cents 140.885560 + 3: 211.328 cents 211.328330 + 4: 281.771 cents 281.771110 + 5: 352.214 cents 352.213890 + 6: 422.657 cents 422.656670 + 7: 493.099 cents 493.099440 + 8: 563.542 cents 563.542220 + 9: 633.985 cents 633.985000 + 10: 704.428 cents 704.427780 + 11: 774.871 cents 774.870560 + 12: 845.313 cents 845.313330 + 13: 915.756 cents 915.756110 + 14: 986.199 cents 986.198890 + 15: 1056.642 cents 1056.641670 + 16: 1127.084 cents 1127.084440 + 17: 1197.527 cents 1197.527220 + 18: 1267.970 cents 1267.970000 + 19: 1338.413 cents 1338.412780 + 20: 1408.856 cents 1408.855560 + 21: 1479.298 cents 1479.298330 + 22: 1549.741 cents 1549.741110 + 23: 1620.184 cents 1620.183890 + 24: 1690.627 cents 1690.626670 + 25: 1761.069 cents 1761.069450 + 26: 1831.512 cents 1831.512220 + 27: 3/1 1901.955001 perfect 12th +| +ED4-09 - Equal division of harmonic 4 into 9 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 266.667 cents 266.666670 + 2: 533.333 cents 533.333330 + 3: 800.000 cents 800.000000 + 4: 1066.667 cents 1066.666670 + 5: 1333.333 cents 1333.333330 + 6: 1600.000 cents 1600.000000 + 7: 1866.667 cents 1866.666670 + 8: 2133.333 cents 2133.333330 + 9: 4/1 2400.000000 2 octaves +| +ED4-11 - Equal division of harmonic 4 into 11 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 218.182 cents 218.181820 + 2: 436.364 cents 436.363640 + 3: 654.545 cents 654.545450 + 4: 872.727 cents 872.727270 + 5: 1090.909 cents 1090.909090 + 6: 1309.091 cents 1309.090910 + 7: 1527.273 cents 1527.272730 + 8: 1745.455 cents 1745.454550 + 9: 1963.636 cents 1963.636360 + 10: 2181.818 cents 2181.818180 + 11: 4/1 2400.000000 2 octaves +| +ED4-13 - Equal division of harmonic 4 into 13 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 184.615 cents 184.615380 + 2: 369.231 cents 369.230770 + 3: 553.846 cents 553.846150 + 4: 738.462 cents 738.461540 + 5: 923.077 cents 923.076920 + 6: 1107.692 cents 1107.692310 + 7: 1292.308 cents 1292.307690 + 8: 1476.923 cents 1476.923080 + 9: 1661.538 cents 1661.538460 + 10: 1846.154 cents 1846.153850 + 11: 2030.769 cents 2030.769230 + 12: 2215.385 cents 2215.384620 + 13: 4/1 2400.000000 2 octaves +| +ED4-15 - Equal division of harmonic 4 into 15 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 160.000 cents 160.000000 + 2: 320.000 cents 320.000000 + 3: 480.000 cents 480.000000 + 4: 640.000 cents 640.000000 + 5: 800.000 cents 800.000000 + 6: 960.000 cents 960.000000 + 7: 1120.000 cents 1120.000000 + 8: 1280.000 cents 1280.000000 + 9: 1440.000 cents 1440.000000 + 10: 1600.000 cents 1600.000000 + 11: 1760.000 cents 1760.000000 + 12: 1920.000 cents 1920.000000 + 13: 2080.000 cents 2080.000000 + 14: 2240.000 cents 2240.000000 + 15: 4/1 2400.000000 2 octaves +| +ED4-17 - Equal division of harmonic 4 into 17 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 141.176 cents 141.176470 + 2: 282.353 cents 282.352940 + 3: 423.529 cents 423.529410 + 4: 564.706 cents 564.705880 + 5: 705.882 cents 705.882350 + 6: 847.059 cents 847.058820 + 7: 988.235 cents 988.235290 + 8: 1129.412 cents 1129.411760 + 9: 1270.588 cents 1270.588240 + 10: 1411.765 cents 1411.764710 + 11: 1552.941 cents 1552.941180 + 12: 1694.118 cents 1694.117650 + 13: 1835.294 cents 1835.294120 + 14: 1976.471 cents 1976.470590 + 15: 2117.647 cents 2117.647060 + 16: 2258.824 cents 2258.823530 + 17: 4/1 2400.000000 2 octaves +| +ED4-19 - Equal division of harmonic 4 into 19 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 126.316 cents 126.315790 + 2: 252.632 cents 252.631580 + 3: 378.947 cents 378.947370 + 4: 505.263 cents 505.263160 + 5: 631.579 cents 631.578950 + 6: 757.895 cents 757.894740 + 7: 884.211 cents 884.210530 + 8: 1010.526 cents 1010.526320 + 9: 1136.842 cents 1136.842110 + 10: 1263.158 cents 1263.157890 + 11: 1389.474 cents 1389.473680 + 12: 1515.789 cents 1515.789470 + 13: 1642.105 cents 1642.105260 + 14: 1768.421 cents 1768.421050 + 15: 1894.737 cents 1894.736840 + 16: 2021.053 cents 2021.052630 + 17: 2147.368 cents 2147.368420 + 18: 2273.684 cents 2273.684210 + 19: 4/1 2400.000000 2 octaves +| +ED4-21 - Equal division of harmonic 4 into 21 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 114.286 cents 114.285710 + 2: 228.571 cents 228.571430 + 3: 342.857 cents 342.857140 + 4: 457.143 cents 457.142860 + 5: 571.429 cents 571.428570 + 6: 685.714 cents 685.714290 + 7: 800.000 cents 800.000000 + 8: 914.286 cents 914.285710 + 9: 1028.571 cents 1028.571430 + 10: 1142.857 cents 1142.857140 + 11: 1257.143 cents 1257.142860 + 12: 1371.429 cents 1371.428570 + 13: 1485.714 cents 1485.714290 + 14: 1600.000 cents 1600.000000 + 15: 1714.286 cents 1714.285710 + 16: 1828.571 cents 1828.571430 + 17: 1942.857 cents 1942.857140 + 18: 2057.143 cents 2057.142860 + 19: 2171.429 cents 2171.428570 + 20: 2285.714 cents 2285.714290 + 21: 4/1 2400.000000 2 octaves +| +ED4-23 - Equal division of harmonic 4 into 23 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 104.348 cents 104.347830 + 2: 208.696 cents 208.695650 + 3: 313.043 cents 313.043480 + 4: 417.391 cents 417.391300 + 5: 521.739 cents 521.739130 + 6: 626.087 cents 626.086960 + 7: 730.435 cents 730.434780 + 8: 834.783 cents 834.782610 + 9: 939.130 cents 939.130430 + 10: 1043.478 cents 1043.478260 + 11: 1147.826 cents 1147.826090 + 12: 1252.174 cents 1252.173910 + 13: 1356.522 cents 1356.521740 + 14: 1460.870 cents 1460.869570 + 15: 1565.217 cents 1565.217390 + 16: 1669.565 cents 1669.565220 + 17: 1773.913 cents 1773.913040 + 18: 1878.261 cents 1878.260870 + 19: 1982.609 cents 1982.608700 + 20: 2086.957 cents 2086.956520 + 21: 2191.304 cents 2191.304350 + 22: 2295.652 cents 2295.652170 + 23: 4/1 2400.000000 2 octaves +| +ED4-25 - Equal division of harmonic 4 into 25 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 96.000 cents 96.000000 + 2: 192.000 cents 192.000000 + 3: 288.000 cents 288.000000 + 4: 384.000 cents 384.000000 + 5: 480.000 cents 480.000000 + 6: 576.000 cents 576.000000 + 7: 672.000 cents 672.000000 + 8: 768.000 cents 768.000000 + 9: 864.000 cents 864.000000 + 10: 960.000 cents 960.000000 + 11: 1056.000 cents 1056.000000 + 12: 1152.000 cents 1152.000000 + 13: 1248.000 cents 1248.000000 + 14: 1344.000 cents 1344.000000 + 15: 1440.000 cents 1440.000000 + 16: 1536.000 cents 1536.000000 + 17: 1632.000 cents 1632.000000 + 18: 1728.000 cents 1728.000000 + 19: 1824.000 cents 1824.000000 + 20: 1920.000 cents 1920.000000 + 21: 2016.000 cents 2016.000000 + 22: 2112.000 cents 2112.000000 + 23: 2208.000 cents 2208.000000 + 24: 2304.000 cents 2304.000000 + 25: 4/1 2400.000000 2 octaves +| +ED4-27 - Equal division of harmonic 4 into 27 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 88.889 cents 88.888890 + 2: 177.778 cents 177.777780 + 3: 266.667 cents 266.666670 + 4: 355.556 cents 355.555560 + 5: 444.444 cents 444.444440 + 6: 533.333 cents 533.333330 + 7: 622.222 cents 622.222220 + 8: 711.111 cents 711.111110 + 9: 800.000 cents 800.000000 + 10: 888.889 cents 888.888890 + 11: 977.778 cents 977.777780 + 12: 1066.667 cents 1066.666670 + 13: 1155.556 cents 1155.555560 + 14: 1244.444 cents 1244.444440 + 15: 1333.333 cents 1333.333330 + 16: 1422.222 cents 1422.222220 + 17: 1511.111 cents 1511.111110 + 18: 1600.000 cents 1600.000000 + 19: 1688.889 cents 1688.888890 + 20: 1777.778 cents 1777.777780 + 21: 1866.667 cents 1866.666670 + 22: 1955.556 cents 1955.555560 + 23: 2044.444 cents 2044.444440 + 24: 2133.333 cents 2133.333330 + 25: 2222.222 cents 2222.222220 + 26: 2311.111 cents 2311.111110 + 27: 4/1 2400.000000 2 octaves +| +ED4-29 - Equal division of harmonic 4 into 29 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 82.759 cents 82.758620 + 2: 165.517 cents 165.517240 + 3: 248.276 cents 248.275860 + 4: 331.034 cents 331.034480 + 5: 413.793 cents 413.793100 + 6: 496.552 cents 496.551720 + 7: 579.310 cents 579.310340 + 8: 662.069 cents 662.068970 + 9: 744.828 cents 744.827590 + 10: 827.586 cents 827.586210 + 11: 910.345 cents 910.344830 + 12: 993.103 cents 993.103450 + 13: 1075.862 cents 1075.862070 + 14: 1158.621 cents 1158.620690 + 15: 1241.379 cents 1241.379310 + 16: 1324.138 cents 1324.137930 + 17: 1406.897 cents 1406.896550 + 18: 1489.655 cents 1489.655170 + 19: 1572.414 cents 1572.413790 + 20: 1655.172 cents 1655.172410 + 21: 1737.931 cents 1737.931030 + 22: 1820.690 cents 1820.689660 + 23: 1903.448 cents 1903.448280 + 24: 1986.207 cents 1986.206900 + 25: 2068.966 cents 2068.965520 + 26: 2151.724 cents 2151.724140 + 27: 2234.483 cents 2234.482760 + 28: 2317.241 cents 2317.241380 + 29: 4/1 2400.000000 2 octaves +| +ED4-31 - Equal division of harmonic 4 into 31 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 77.419 cents 77.419350 + 2: 154.839 cents 154.838710 + 3: 232.258 cents 232.258060 + 4: 309.677 cents 309.677420 + 5: 387.097 cents 387.096770 + 6: 464.516 cents 464.516130 + 7: 541.935 cents 541.935480 + 8: 619.355 cents 619.354840 + 9: 696.774 cents 696.774190 + 10: 774.194 cents 774.193550 + 11: 851.613 cents 851.612900 + 12: 929.032 cents 929.032260 + 13: 1006.452 cents 1006.451610 + 14: 1083.871 cents 1083.870970 + 15: 1161.290 cents 1161.290320 + 16: 1238.710 cents 1238.709680 + 17: 1316.129 cents 1316.129030 + 18: 1393.548 cents 1393.548390 + 19: 1470.968 cents 1470.967740 + 20: 1548.387 cents 1548.387100 + 21: 1625.806 cents 1625.806450 + 22: 1703.226 cents 1703.225810 + 23: 1780.645 cents 1780.645160 + 24: 1858.065 cents 1858.064520 + 25: 1935.484 cents 1935.483870 + 26: 2012.903 cents 2012.903230 + 27: 2090.323 cents 2090.322580 + 28: 2167.742 cents 2167.741940 + 29: 2245.161 cents 2245.161290 + 30: 2322.581 cents 2322.580650 + 31: 4/1 2400.000000 2 octaves +| +ED4-33 - Equal division of harmonic 4 into 33 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 72.727 cents 72.727270 + 2: 145.455 cents 145.454550 + 3: 218.182 cents 218.181820 + 4: 290.909 cents 290.909090 + 5: 363.636 cents 363.636360 + 6: 436.364 cents 436.363640 + 7: 509.091 cents 509.090910 + 8: 581.818 cents 581.818180 + 9: 654.545 cents 654.545450 + 10: 727.273 cents 727.272730 + 11: 800.000 cents 800.000000 + 12: 872.727 cents 872.727270 + 13: 945.455 cents 945.454550 + 14: 1018.182 cents 1018.181820 + 15: 1090.909 cents 1090.909090 + 16: 1163.636 cents 1163.636360 + 17: 1236.364 cents 1236.363640 + 18: 1309.091 cents 1309.090910 + 19: 1381.818 cents 1381.818180 + 20: 1454.545 cents 1454.545450 + 21: 1527.273 cents 1527.272730 + 22: 1600.000 cents 1600.000000 + 23: 1672.727 cents 1672.727270 + 24: 1745.455 cents 1745.454550 + 25: 1818.182 cents 1818.181820 + 26: 1890.909 cents 1890.909090 + 27: 1963.636 cents 1963.636360 + 28: 2036.364 cents 2036.363640 + 29: 2109.091 cents 2109.090910 + 30: 2181.818 cents 2181.818180 + 31: 2254.545 cents 2254.545450 + 32: 2327.273 cents 2327.272730 + 33: 4/1 2400.000000 2 octaves +| +ED4-35 - Equal division of harmonic 4 into 35 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 68.571 cents 68.571430 + 2: 137.143 cents 137.142860 + 3: 205.714 cents 205.714290 + 4: 274.286 cents 274.285710 + 5: 342.857 cents 342.857140 + 6: 411.429 cents 411.428570 + 7: 480.000 cents 480.000000 + 8: 548.571 cents 548.571430 + 9: 617.143 cents 617.142860 + 10: 685.714 cents 685.714290 + 11: 754.286 cents 754.285710 + 12: 822.857 cents 822.857140 + 13: 891.429 cents 891.428570 + 14: 960.000 cents 960.000000 + 15: 1028.571 cents 1028.571430 + 16: 1097.143 cents 1097.142860 + 17: 1165.714 cents 1165.714290 + 18: 1234.286 cents 1234.285710 + 19: 1302.857 cents 1302.857140 + 20: 1371.429 cents 1371.428570 + 21: 1440.000 cents 1440.000000 + 22: 1508.571 cents 1508.571430 + 23: 1577.143 cents 1577.142860 + 24: 1645.714 cents 1645.714290 + 25: 1714.286 cents 1714.285710 + 26: 1782.857 cents 1782.857140 + 27: 1851.429 cents 1851.428570 + 28: 1920.000 cents 1920.000000 + 29: 1988.571 cents 1988.571430 + 30: 2057.143 cents 2057.142860 + 31: 2125.714 cents 2125.714290 + 32: 2194.286 cents 2194.285710 + 33: 2262.857 cents 2262.857140 + 34: 2331.429 cents 2331.428570 + 35: 4/1 2400.000000 2 octaves +| +ED4-37 - Equal division of harmonic 4 into 37 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 64.865 cents 64.864860 + 2: 129.730 cents 129.729730 + 3: 194.595 cents 194.594590 + 4: 259.459 cents 259.459460 + 5: 324.324 cents 324.324320 + 6: 389.189 cents 389.189190 + 7: 454.054 cents 454.054050 + 8: 518.919 cents 518.918920 + 9: 583.784 cents 583.783780 + 10: 648.649 cents 648.648650 + 11: 713.514 cents 713.513510 + 12: 778.378 cents 778.378380 + 13: 843.243 cents 843.243240 + 14: 908.108 cents 908.108110 + 15: 972.973 cents 972.972970 + 16: 1037.838 cents 1037.837840 + 17: 1102.703 cents 1102.702700 + 18: 1167.568 cents 1167.567570 + 19: 1232.432 cents 1232.432430 + 20: 1297.297 cents 1297.297300 + 21: 1362.162 cents 1362.162160 + 22: 1427.027 cents 1427.027030 + 23: 1491.892 cents 1491.891890 + 24: 1556.757 cents 1556.756760 + 25: 1621.622 cents 1621.621620 + 26: 1686.486 cents 1686.486490 + 27: 1751.351 cents 1751.351350 + 28: 1816.216 cents 1816.216220 + 29: 1881.081 cents 1881.081080 + 30: 1945.946 cents 1945.945950 + 31: 2010.811 cents 2010.810810 + 32: 2075.676 cents 2075.675680 + 33: 2140.541 cents 2140.540540 + 34: 2205.405 cents 2205.405410 + 35: 2270.270 cents 2270.270270 + 36: 2335.135 cents 2335.135140 + 37: 4/1 2400.000000 2 octaves +| +ED4-39 - Equal division of harmonic 4 into 39 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 61.538 cents 61.538460 + 2: 123.077 cents 123.076920 + 3: 184.615 cents 184.615380 + 4: 246.154 cents 246.153850 + 5: 307.692 cents 307.692310 + 6: 369.231 cents 369.230770 + 7: 430.769 cents 430.769230 + 8: 492.308 cents 492.307690 + 9: 553.846 cents 553.846150 + 10: 615.385 cents 615.384620 + 11: 676.923 cents 676.923080 + 12: 738.462 cents 738.461540 + 13: 800.000 cents 800.000000 + 14: 861.538 cents 861.538460 + 15: 923.077 cents 923.076920 + 16: 984.615 cents 984.615380 + 17: 1046.154 cents 1046.153850 + 18: 1107.692 cents 1107.692310 + 19: 1169.231 cents 1169.230770 + 20: 1230.769 cents 1230.769230 + 21: 1292.308 cents 1292.307690 + 22: 1353.846 cents 1353.846150 + 23: 1415.385 cents 1415.384620 + 24: 1476.923 cents 1476.923080 + 25: 1538.462 cents 1538.461540 + 26: 1600.000 cents 1600.000000 + 27: 1661.538 cents 1661.538460 + 28: 1723.077 cents 1723.076920 + 29: 1784.615 cents 1784.615380 + 30: 1846.154 cents 1846.153850 + 31: 1907.692 cents 1907.692310 + 32: 1969.231 cents 1969.230770 + 33: 2030.769 cents 2030.769230 + 34: 2092.308 cents 2092.307690 + 35: 2153.846 cents 2153.846150 + 36: 2215.385 cents 2215.384620 + 37: 2276.923 cents 2276.923080 + 38: 2338.462 cents 2338.461540 + 39: 4/1 2400.000000 2 octaves +| +ED4-41 - Equal division of harmonic 4 into 41 parts +| + 0: 1/1 0.000000 unison, perfect prime + 1: 58.537 cents 58.536590 + 2: 117.073 cents 117.073170 + 3: 175.610 cents 175.609760 + 4: 234.146 cents 234.146340 + 5: 292.683 cents 292.682930 + 6: 351.220 cents 351.219510 + 7: 409.756 cents 409.756100 + 8: 468.293 cents 468.292680 + 9: 526.829 cents 526.829270 + 10: 585.366 cents 585.365850 + 11: 643.902 cents 643.902440 + 12: 702.439 cents 702.439020 + 13: 760.976 cents 760.975610 + 14: 819.512 cents 819.512200 + 15: 878.049 cents 878.048780 + 16: 936.585 cents 936.585370 + 17: 995.122 cents 995.121950 + 18: 1053.659 cents 1053.658540 + 19: 1112.195 cents 1112.195120 + 20: 1170.732 cents 1170.731710 + 21: 1229.268 cents 1229.268290 + 22: 1287.805 cents 1287.804880 + 23: 1346.341 cents 1346.341460 + 24: 1404.878 cents 1404.878050 + 25: 1463.415 cents 1463.414630 + 26: 1521.951 cents 1521.951220 + 27: 1580.488 cents 1580.487800 + 28: 1639.024 cents 1639.024390 + 29: 1697.561 cents 1697.560980 + 30: 1756.098 cents 1756.097560 + 31: 1814.634 cents 1814.634150 + 32: 1873.171 cents 1873.170730 + 33: 1931.707 cents 1931.707320 + 34: 1990.244 cents 1990.243900 + 35: 2048.780 cents 2048.780490 + 36: 2107.317 cents 2107.317070 + 37: 2165.854 cents 2165.853660 + 38: 2224.390 cents 2224.390240 + 39: 2282.927 cents 2282.926830 + 40: 2341.463 cents 2341.463410 + 41: 4/1 2400.000000 2 octaves +| +HD2 04-08 - Harmonic division of 2: Harmonics 04-08 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 5/4 386.313714 major third + 2: 3/2 701.955001 perfect fifth + 3: 7/4 968.825906 harmonic seventh + 4: 2/1 1200.000000 octave +| +HD2 05-10 - Harmonic division of 2: Harmonics 05-10 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 6/5 315.641287 minor third + 2: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 3: 8/5 813.686286 minor sixth + 4: 9/5 1017.596288 just minor seventh, BP seventh + 5: 2/1 1200.000000 octave +| +HD2 06-12 - Harmonic division of 2: Harmonics 06-12 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 7/6 266.870906 septimal minor third + 2: 4/3 498.044999 perfect fourth + 3: 3/2 701.955001 perfect fifth + 4: 5/3 884.358713 major sixth, BP sixth + 5: 11/6 1049.362941 21/4-tone, undecimal neutral seventh + 6: 2/1 1200.000000 octave +| +HD2 07-14 - Harmonic division of 2: Harmonics 07-14 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 8/7 231.174094 septimal whole tone + 2: 9/7 435.084095 septimal major third, BP third + 3: 10/7 617.487807 Euler's tritone + 4: 11/7 782.492036 undecimal augmented fifth + 5: 12/7 933.129094 septimal major sixth + 6: 13/7 1071.701755 16/3-tone + 7: 2/1 1200.000000 octave +| +HD2 08-16 - Harmonic division of 2: Harmonics 08-16 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 9/8 203.910002 major whole tone + 2: 5/4 386.313714 major third + 3: 11/8 551.317942 undecimal semi-augmented fourth + 4: 3/2 701.955001 perfect fifth + 5: 13/8 840.527662 tridecimal neutral sixth + 6: 7/4 968.825906 harmonic seventh + 7: 15/8 1088.268715 classic major seventh + 8: 2/1 1200.000000 octave +| +HD2 09-18 - Harmonic division of 2: Harmonics 09-18 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 10/9 182.403712 minor whole tone + 2: 11/9 347.407941 undecimal neutral third + 3: 4/3 498.044999 perfect fourth + 4: 13/9 636.617660 tridecimal diminished fifth + 5: 14/9 764.915905 septimal minor sixth + 6: 5/3 884.358713 major sixth, BP sixth + 7: 16/9 996.089998 Pythagorean minor seventh + 8: 17/9 1101.045408 septendecimal major seventh + 9: 2/1 1200.000000 octave +| +HD2 10-20 - Harmonic division of 2: Harmonics 10-20 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 11/10 165.004228 4/5-tone, Ptolemy's second + 2: 6/5 315.641287 minor third + 3: 13/10 454.213948 tridecimal semi-diminished fourth + 4: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 5: 3/2 701.955001 perfect fifth + 6: 8/5 813.686286 minor sixth + 7: 17/10 918.641696 septendecimal diminished seventh + 8: 9/5 1017.596288 just minor seventh, BP seventh + 9: 19/10 1111.199302 undevicesimal major seventh + 10: 2/1 1200.000000 octave +| +HD2 11-22 - Harmonic division of 2: Harmonics 11-22 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 12/11 150.637059 3/4-tone, undecimal neutral second + 2: 13/11 289.209719 tridecimal minor third + 3: 14/11 417.507964 undecimal diminished fourth or major third + 4: 15/11 536.950772 undecimal augmented fourth + 5: 16/11 648.682058 undecimal semi-diminished fifth + 6: 17/11 753.637467 + 7: 18/11 852.592059 undecimal neutral sixth + 8: 19/11 946.195074 + 9: 20/11 1034.995772 large minor seventh + 10: 21/11 1119.462965 undecimal major seventh + 11: 2/1 1200.000000 octave +| +HD2 12-24 - Harmonic division of 2: Harmonics 12-24 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 13/12 138.572661 tridecimal 2/3-tone + 2: 7/6 266.870906 septimal minor third + 3: 5/4 386.313714 major third + 4: 4/3 498.044999 perfect fourth + 5: 17/12 603.000409 2nd septendecimal tritone + 6: 3/2 701.955001 perfect fifth + 7: 19/12 795.558015 undevicesimal minor sixth + 8: 5/3 884.358713 major sixth, BP sixth + 9: 7/4 968.825906 harmonic seventh + 10: 11/6 1049.362941 21/4-tone, undecimal neutral seventh + 11: 23/12 1126.319346 vicesimotertial major seventh + 12: 2/1 1200.000000 octave +| +HD2 13-26 - Harmonic division of 2: Harmonics 13-26 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 14/13 128.298245 2/3-tone + 2: 15/13 247.741053 tridecimal 5/4-tone + 3: 16/13 359.472338 tridecimal neutral third + 4: 17/13 464.427748 + 5: 18/13 563.382340 tridecimal augmented fourth + 6: 19/13 656.985354 + 7: 20/13 745.786052 tridecimal semi-augmented fifth + 8: 21/13 830.253246 + 9: 22/13 910.790281 tridecimal major sixth + 10: 23/13 987.746685 + 11: 24/13 1061.427339 tridecimal neutral seventh + 12: 25/13 1132.099766 + 13: 2/1 1200.000000 octave +| +HD2 14-28 - Harmonic division of 2: Harmonics 14-28 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 15/14 119.442808 major diatonic semitone + 2: 8/7 231.174094 septimal whole tone + 3: 17/14 336.129503 supraminor third + 4: 9/7 435.084095 septimal major third, BP third + 5: 19/14 528.687110 + 6: 10/7 617.487807 Euler's tritone + 7: 3/2 701.955001 perfect fifth + 8: 11/7 782.492036 undecimal augmented fifth + 9: 23/14 859.448441 + 10: 12/7 933.129094 septimal major sixth + 11: 25/14 1003.801521 middle minor seventh + 12: 13/7 1071.701755 16/3-tone + 13: 27/14 1137.039096 septimal major seventh + 14: 2/1 1200.000000 octave +| +HD2 15-30 - Harmonic division of 2: Harmonics 15-30 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 16/15 111.731285 minor diatonic semitone + 2: 17/15 216.686695 septendecimal whole tone + 3: 6/5 315.641287 minor third + 4: 19/15 409.244301 undevicesimal ditone + 5: 4/3 498.044999 perfect fourth + 6: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 7: 22/15 663.049228 undecimal diminished fifth + 8: 23/15 740.005633 + 9: 8/5 813.686286 minor sixth + 10: 5/3 884.358713 major sixth, BP sixth + 11: 26/15 952.258947 tridecimal semi-augmented sixth + 12: 9/5 1017.596288 just minor seventh, BP seventh + 13: 28/15 1080.557192 grave major seventh + 14: 29/15 1141.308479 + 15: 2/1 1200.000000 octave +| +HD2 16-32 - Harmonic division of 2: Harmonics 16-32 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 17/16 104.955410 17th harmonic + 2: 9/8 203.910002 major whole tone + 3: 19/16 297.513016 19th harmonic + 4: 5/4 386.313714 major third + 5: 21/16 470.780907 narrow fourth + 6: 11/8 551.317942 undecimal semi-augmented fourth + 7: 23/16 628.274347 23rd harmonic + 8: 3/2 701.955001 perfect fifth + 9: 25/16 772.627428 classic augmented fifth + 10: 13/8 840.527662 tridecimal neutral sixth + 11: 27/16 905.865003 Pythagorean major sixth + 12: 7/4 968.825906 harmonic seventh + 13: 29/16 1029.577194 29th harmonic + 14: 15/8 1088.268715 classic major seventh + 15: 31/16 1145.035572 31st harmonic + 16: 2/1 1200.000000 octave +| +HD3 04-12 - Harmonic division of 3: Harmonics 04-12 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 5/4 386.313714 major third + 2: 3/2 701.955001 perfect fifth + 3: 7/4 968.825906 harmonic seventh + 4: 2/1 1200.000000 octave + 5: 9/4 1403.910002 major ninth + 6: 5/2 1586.313714 major 10th + 7: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 8: 3/1 1901.955001 perfect 12th +| +HD3 05-15 - Harmonic division of 3: Harmonics 05-15 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 6/5 315.641287 minor third + 2: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 3: 8/5 813.686286 minor sixth + 4: 9/5 1017.596288 just minor seventh, BP seventh + 5: 2/1 1200.000000 octave + 6: 11/5 1365.004228 neutral ninth + 7: 12/5 1515.641287 minor 10th + 8: 13/5 1654.213948 tridecimal semi-diminished fourth +1 octave + 9: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave + 10: 3/1 1901.955001 perfect 12th +| +HD3 06-18 - Harmonic division of 3: Harmonics 06-18 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 7/6 266.870906 septimal minor third + 2: 4/3 498.044999 perfect fourth + 3: 3/2 701.955001 perfect fifth + 4: 5/3 884.358713 major sixth, BP sixth + 5: 11/6 1049.362941 21/4-tone, undecimal neutral seventh + 6: 2/1 1200.000000 octave + 7: 13/6 1338.572661 tridecimal 2/3-tone +1 octave + 8: 7/3 1466.870906 minimal tenth, BP tenth + 9: 5/2 1586.313714 major 10th + 10: 8/3 1698.044999 perfect 11th + 11: 17/6 1803.000409 2nd septendecimal tritone +1 octave + 12: 3/1 1901.955001 perfect 12th +| +HD3 07-21 - Harmonic division of 3: Harmonics 07-21 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 8/7 231.174094 septimal whole tone + 2: 9/7 435.084095 septimal major third, BP third + 3: 10/7 617.487807 Euler's tritone + 4: 11/7 782.492036 undecimal augmented fifth + 5: 12/7 933.129094 septimal major sixth + 6: 13/7 1071.701755 16/3-tone + 7: 2/1 1200.000000 octave + 8: 15/7 1319.442808 septimal minor ninth, BP ninth + 9: 16/7 1431.174094 septimal major ninth + 10: 17/7 1536.129503 supraminor third +1 octave + 11: 18/7 1635.084095 septimal major 10th + 12: 19/7 1728.687110 + 13: 20/7 1817.487807 Euler's tritone +1 octave + 14: 3/1 1901.955001 perfect 12th +| + HD3 08-24 - Harmonic division of 3: Harmonics 08-24 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 9/8 203.910002 major whole tone + 2: 5/4 386.313714 major third + 3: 11/8 551.317942 undecimal semi-augmented fourth + 4: 3/2 701.955001 perfect fifth + 5: 13/8 840.527662 tridecimal neutral sixth + 6: 7/4 968.825906 harmonic seventh + 7: 15/8 1088.268715 classic major seventh + 8: 2/1 1200.000000 octave + 9: 17/8 1304.955410 septendecimal minor ninth + 10: 9/4 1403.910002 major ninth + 11: 19/8 1497.513016 19th harmonic +1 octave + 12: 5/2 1586.313714 major 10th + 13: 21/8 1670.780907 narrow fourth +1 octave + 14: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 15: 23/8 1828.274347 23rd harmonic +1 octave + 16: 3/1 1901.955001 perfect 12th +| +HD3 09-27 - Harmonic division of 3: Harmonics 09-27 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 10/9 182.403712 minor whole tone + 2: 11/9 347.407941 undecimal neutral third + 3: 4/3 498.044999 perfect fourth + 4: 13/9 636.617660 tridecimal diminished fifth + 5: 14/9 764.915905 septimal minor sixth + 6: 5/3 884.358713 major sixth, BP sixth + 7: 16/9 996.089998 Pythagorean minor seventh + 8: 17/9 1101.045408 septendecimal major seventh + 9: 2/1 1200.000000 octave + 10: 19/9 1293.603014 undevicesimal semitone +1 octave + 11: 20/9 1382.403712 small ninth + 12: 7/3 1466.870906 minimal tenth, BP tenth + 13: 22/9 1547.407941 undecimal neutral third +1 octave + 14: 23/9 1624.364346 vicesimotertial major third +1 octave + 15: 8/3 1698.044999 perfect 11th + 16: 25/9 1768.717426 classic augmented eleventh, BP twelfth + 17: 26/9 1836.617660 tridecimal diminished fifth +1 octave + 18: 3/1 1901.955001 perfect 12th +| +HD3 10-30 - Harmonic division of 3: Harmonics 10-30 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 11/10 165.004228 4/5-tone, Ptolemy's second + 2: 6/5 315.641287 minor third + 3: 13/10 454.213948 tridecimal semi-diminished fourth + 4: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 5: 3/2 701.955001 perfect fifth + 6: 8/5 813.686286 minor sixth + 7: 17/10 918.641696 septendecimal diminished seventh + 8: 9/5 1017.596288 just minor seventh, BP seventh + 9: 19/10 1111.199302 undevicesimal major seventh + 10: 2/1 1200.000000 octave + 11: 21/10 1284.467193 minor semitone +1 octave + 12: 11/5 1365.004228 neutral ninth + 13: 23/10 1441.960633 + 14: 12/5 1515.641287 minor 10th + 15: 5/2 1586.313714 major 10th + 16: 13/5 1654.213948 tridecimal semi-diminished fourth +1 octave + 17: 27/10 1719.551289 acute fourth +1 octave + 18: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave + 19: 29/10 1843.263480 + 20: 3/1 1901.955001 perfect 12th +| +HD3 11-33 - Harmonic division of 3: Harmonics 11-33 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 12/11 150.637059 3/4-tone, undecimal neutral second + 2: 13/11 289.209719 tridecimal minor third + 3: 14/11 417.507964 undecimal diminished fourth or major third + 4: 15/11 536.950772 undecimal augmented fourth + 5: 16/11 648.682058 undecimal semi-diminished fifth + 6: 17/11 753.637467 + 7: 18/11 852.592059 undecimal neutral sixth + 8: 19/11 946.195074 + 9: 20/11 1034.995772 large minor seventh + 10: 21/11 1119.462965 undecimal major seventh + 11: 2/1 1200.000000 octave + 12: 23/11 1276.956405 + 13: 24/11 1350.637059 3/4-tone, undecimal neutral second +1 octave + 14: 25/11 1421.309485 undecimal acute whole tone +1 octave + 15: 26/11 1489.209719 tridecimal minor third +1 octave + 16: 27/11 1554.547060 neutral third, Zalzal wosta of al-Farabi +1 octave + 17: 28/11 1617.507964 undecimal diminished fourth or major third +1 octave + 18: 29/11 1678.259252 + 19: 30/11 1736.950772 undecimal augmented fourth +1 octave + 20: 31/11 1793.717630 + 21: 32/11 1848.682058 undecimal semi-diminished fifth +1 octave + 22: 3/1 1901.955001 perfect 12th +| +HD3 12-36 - Harmonic division of 3: Harmonics 12-36 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 13/12 138.572661 tridecimal 2/3-tone + 2: 7/6 266.870906 septimal minor third + 3: 5/4 386.313714 major third + 4: 4/3 498.044999 perfect fourth + 5: 17/12 603.000409 2nd septendecimal tritone + 6: 3/2 701.955001 perfect fifth + 7: 19/12 795.558015 undevicesimal minor sixth + 8: 5/3 884.358713 major sixth, BP sixth + 9: 7/4 968.825906 harmonic seventh + 10: 11/6 1049.362941 21/4-tone, undecimal neutral seventh + 11: 23/12 1126.319346 vicesimotertial major seventh + 12: 2/1 1200.000000 octave + 13: 25/12 1270.672427 classic augmented octave + 14: 13/6 1338.572661 tridecimal 2/3-tone +1 octave + 15: 9/4 1403.910002 major ninth + 16: 7/3 1466.870906 minimal tenth, BP tenth + 17: 29/12 1527.622193 + 18: 5/2 1586.313714 major 10th + 19: 31/12 1643.080572 + 20: 8/3 1698.044999 perfect 11th + 21: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 22: 17/6 1803.000409 2nd septendecimal tritone +1 octave + 23: 35/12 1853.184619 septimal semi-diminished fifth +1 octave + 24: 3/1 1901.955001 perfect 12th +| +HD3 13-39 - Harmonic division of 3: Harmonics 13-39 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 14/13 128.298245 2/3-tone + 2: 15/13 247.741053 tridecimal 5/4-tone + 3: 16/13 359.472338 tridecimal neutral third + 4: 17/13 464.427748 + 5: 18/13 563.382340 tridecimal augmented fourth + 6: 19/13 656.985354 + 7: 20/13 745.786052 tridecimal semi-augmented fifth + 8: 21/13 830.253246 + 9: 22/13 910.790281 tridecimal major sixth + 10: 23/13 987.746685 + 11: 24/13 1061.427339 tridecimal neutral seventh + 12: 25/13 1132.099766 + 13: 2/1 1200.000000 octave + 14: 27/13 1265.337341 tridecimal comma +1 octave + 15: 28/13 1328.298245 2/3-tone +1 octave + 16: 29/13 1389.049532 + 17: 30/13 1447.741053 tridecimal 5/4-tone +1 octave + 18: 31/13 1504.507911 + 19: 32/13 1559.472338 tridecimal neutral third +1 octave + 20: 33/13 1612.745281 tridecimal major third +1 octave + 21: 34/13 1664.427748 + 22: 35/13 1714.611959 + 23: 36/13 1763.382340 tridecimal augmented fourth +1 octave + 24: 37/13 1810.816377 + 25: 38/13 1856.985354 + 26: 3/1 1901.955001 perfect 12th +| +HD3 14-42 - Harmonic division of 3: Harmonics 14-42 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 15/14 119.442808 major diatonic semitone + 2: 8/7 231.174094 septimal whole tone + 3: 17/14 336.129503 supraminor third + 4: 9/7 435.084095 septimal major third, BP third + 5: 19/14 528.687110 + 6: 10/7 617.487807 Euler's tritone + 7: 3/2 701.955001 perfect fifth + 8: 11/7 782.492036 undecimal augmented fifth + 9: 23/14 859.448441 + 10: 12/7 933.129094 septimal major sixth + 11: 25/14 1003.801521 middle minor seventh + 12: 13/7 1071.701755 16/3-tone + 13: 27/14 1137.039096 septimal major seventh + 14: 2/1 1200.000000 octave + 15: 29/14 1260.751288 + 16: 15/7 1319.442808 septimal minor ninth, BP ninth + 17: 31/14 1376.209666 + 18: 16/7 1431.174094 septimal major ninth + 19: 33/14 1484.447037 undecimal minor third +1 octave + 20: 17/7 1536.129503 supraminor third +1 octave + 21: 5/2 1586.313714 major 10th + 22: 18/7 1635.084095 septimal major 10th + 23: 37/14 1682.518132 + 24: 19/7 1728.687110 + 25: 39/14 1773.656756 + 26: 20/7 1817.487807 Euler's tritone +1 octave + 27: 41/14 1860.236499 + 28: 3/1 1901.955001 perfect 12th +| +HD3 15-45 - Harmonic division of 3: Harmonics 15-45 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 16/15 111.731285 minor diatonic semitone + 2: 17/15 216.686695 septendecimal whole tone + 3: 6/5 315.641287 minor third + 4: 19/15 409.244301 undevicesimal ditone + 5: 4/3 498.044999 perfect fourth + 6: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 7: 22/15 663.049228 undecimal diminished fifth + 8: 23/15 740.005633 + 9: 8/5 813.686286 minor sixth + 10: 5/3 884.358713 major sixth, BP sixth + 11: 26/15 952.258947 tridecimal semi-augmented sixth + 12: 9/5 1017.596288 just minor seventh, BP seventh + 13: 28/15 1080.557192 grave major seventh + 14: 29/15 1141.308479 + 15: 2/1 1200.000000 octave + 16: 31/15 1256.766858 31st-partial chroma +1 octave + 17: 32/15 1311.731285 minor ninth + 18: 11/5 1365.004228 neutral ninth + 19: 34/15 1416.686695 septendecimal whole tone +1 octave + 20: 7/3 1466.870906 minimal tenth, BP tenth + 21: 12/5 1515.641287 minor 10th + 22: 37/15 1563.075324 + 23: 38/15 1609.244301 undevicesimal ditone +1 octave + 24: 13/5 1654.213948 tridecimal semi-diminished fourth +1 octave + 25: 8/3 1698.044999 perfect 11th + 26: 41/15 1740.793691 + 27: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave + 28: 43/15 1823.248991 + 29: 44/15 1863.049228 undecimal diminished fifth +1 octave + 30: 3/1 1901.955001 perfect 12th +| +HD3 16-48 - Harmonic division of 3: Harmonics 16-48 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 17/16 104.955410 17th harmonic + 2: 9/8 203.910002 major whole tone + 3: 19/16 297.513016 19th harmonic + 4: 5/4 386.313714 major third + 5: 21/16 470.780907 narrow fourth + 6: 11/8 551.317942 undecimal semi-augmented fourth + 7: 23/16 628.274347 23rd harmonic + 8: 3/2 701.955001 perfect fifth + 9: 25/16 772.627428 classic augmented fifth + 10: 13/8 840.527662 tridecimal neutral sixth + 11: 27/16 905.865003 Pythagorean major sixth + 12: 7/4 968.825906 harmonic seventh + 13: 29/16 1029.577194 29th harmonic + 14: 15/8 1088.268715 classic major seventh + 15: 31/16 1145.035572 31st harmonic + 16: 2/1 1200.000000 octave + 17: 33/16 1253.272943 undecimal comma, al-Farabi's 1/4-tone +1 octave + 18: 17/8 1304.955410 septendecimal minor ninth + 19: 35/16 1355.139620 septimal neutral second +1 octave + 20: 9/4 1403.910002 major ninth + 21: 37/16 1451.344039 37th harmonic +1 octave + 22: 19/8 1497.513016 19th harmonic +1 octave + 23: 39/16 1542.482663 39th harmonic, Zalzal wosta of Ibn Sina +1 octave + 24: 5/2 1586.313714 major 10th + 25: 41/16 1629.062406 + 26: 21/8 1670.780907 narrow fourth +1 octave + 27: 43/16 1711.517706 + 28: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 29: 45/16 1790.223716 diatonic tritone +1 octave + 30: 23/8 1828.274347 23rd harmonic +1 octave + 31: 47/16 1865.506622 + 32: 3/1 1901.955001 perfect 12th +| +HD4 04-16 - Harmonic division of 4: Harmonics 04-16 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 5/4 386.313714 major third + 2: 3/2 701.955001 perfect fifth + 3: 7/4 968.825906 harmonic seventh + 4: 2/1 1200.000000 octave + 5: 9/4 1403.910002 major ninth + 6: 5/2 1586.313714 major 10th + 7: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 8: 3/1 1901.955001 perfect 12th + 9: 13/4 2040.527662 tridecimal neutral sixth +1 octave + 10: 7/2 2168.825906 harmonic 14th + 11: 15/4 2288.268715 classic major 14th + 12: 4/1 2400.000000 2 octaves +| +HD4 05-20 - Harmonic division of 4: Harmonics 05-20 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 6/5 315.641287 minor third + 2: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 3: 8/5 813.686286 minor sixth + 4: 9/5 1017.596288 just minor seventh, BP seventh + 5: 2/1 1200.000000 octave + 6: 11/5 1365.004228 neutral ninth + 7: 12/5 1515.641287 minor 10th + 8: 13/5 1654.213948 tridecimal semi-diminished fourth +1 octave + 9: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave + 10: 3/1 1901.955001 perfect 12th + 11: 16/5 2013.686286 minor 13th + 12: 17/5 2118.641696 septendecimal diminished seventh +1 octave + 13: 18/5 2217.596288 minor 14th + 14: 19/5 2311.199302 undevicesimal major seventh +1 octave + 15: 4/1 2400.000000 2 octaves +| +HD4 06-24 - Harmonic division of 4: Harmonics 06-24 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 7/6 266.870906 septimal minor third + 2: 4/3 498.044999 perfect fourth + 3: 3/2 701.955001 perfect fifth + 4: 5/3 884.358713 major sixth, BP sixth + 5: 11/6 1049.362941 21/4-tone, undecimal neutral seventh + 6: 2/1 1200.000000 octave + 7: 13/6 1338.572661 tridecimal 2/3-tone +1 octave + 8: 7/3 1466.870906 minimal tenth, BP tenth + 9: 5/2 1586.313714 major 10th + 10: 8/3 1698.044999 perfect 11th + 11: 17/6 1803.000409 2nd septendecimal tritone +1 octave + 12: 3/1 1901.955001 perfect 12th + 13: 19/6 1995.558015 undevicesimal minor sixth +1 octave + 14: 10/3 2084.358713 major 13th + 15: 7/2 2168.825906 harmonic 14th + 16: 11/3 2249.362941 21/4-tone, undecimal neutral seventh +1 octave + 17: 23/6 2326.319346 vicesimotertial major seventh +1 octave + 18: 4/1 2400.000000 2 octaves +| +HD4 07-28 - Harmonic division of 4: Harmonics 07-28 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 8/7 231.174094 septimal whole tone + 2: 9/7 435.084095 septimal major third, BP third + 3: 10/7 617.487807 Euler's tritone + 4: 11/7 782.492036 undecimal augmented fifth + 5: 12/7 933.129094 septimal major sixth + 6: 13/7 1071.701755 16/3-tone + 7: 2/1 1200.000000 octave + 8: 15/7 1319.442808 septimal minor ninth, BP ninth + 9: 16/7 1431.174094 septimal major ninth + 10: 17/7 1536.129503 supraminor third +1 octave + 11: 18/7 1635.084095 septimal major 10th + 12: 19/7 1728.687110 + 13: 20/7 1817.487807 Euler's tritone +1 octave + 14: 3/1 1901.955001 perfect 12th + 15: 22/7 1982.492036 undecimal augmented fifth +1 octave + 16: 23/7 2059.448441 + 17: 24/7 2133.129094 septimal major 13th + 18: 25/7 2203.801521 middle minor seventh +1 octave + 19: 26/7 2271.701755 16/3-tone +1 octave + 20: 27/7 2337.039096 septimal major seventh +1 octave + 21: 4/1 2400.000000 2 octaves +| +HD4 08-32 - Harmonic division of 4: Harmonics 08-32 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 9/8 203.910002 major whole tone + 2: 5/4 386.313714 major third + 3: 11/8 551.317942 undecimal semi-augmented fourth + 4: 3/2 701.955001 perfect fifth + 5: 13/8 840.527662 tridecimal neutral sixth + 6: 7/4 968.825906 harmonic seventh + 7: 15/8 1088.268715 classic major seventh + 8: 2/1 1200.000000 octave + 9: 17/8 1304.955410 septendecimal minor ninth + 10: 9/4 1403.910002 major ninth + 11: 19/8 1497.513016 19th harmonic +1 octave + 12: 5/2 1586.313714 major 10th + 13: 21/8 1670.780907 narrow fourth +1 octave + 14: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 15: 23/8 1828.274347 23rd harmonic +1 octave + 16: 3/1 1901.955001 perfect 12th + 17: 25/8 1972.627428 classic augmented 12th + 18: 13/4 2040.527662 tridecimal neutral sixth +1 octave + 19: 27/8 2105.865003 Pythagorean major sixth +1 octave + 20: 7/2 2168.825906 harmonic 14th + 21: 29/8 2229.577194 29th harmonic +1 octave + 22: 15/4 2288.268715 classic major 14th + 23: 31/8 2345.035572 31st harmonic +1 octave + 24: 4/1 2400.000000 2 octaves +| +HD4 09-36 - Harmonic division of 4: Harmonics 09-36v +| + 0: 1/1 0.000000 unison, perfect prime + 1: 10/9 182.403712 minor whole tone + 2: 11/9 347.407941 undecimal neutral third + 3: 4/3 498.044999 perfect fourth + 4: 13/9 636.617660 tridecimal diminished fifth + 5: 14/9 764.915905 septimal minor sixth + 6: 5/3 884.358713 major sixth, BP sixth + 7: 16/9 996.089998 Pythagorean minor seventh + 8: 17/9 1101.045408 septendecimal major seventh + 9: 2/1 1200.000000 octave + 10: 19/9 1293.603014 undevicesimal semitone +1 octave + 11: 20/9 1382.403712 small ninth + 12: 7/3 1466.870906 minimal tenth, BP tenth + 13: 22/9 1547.407941 undecimal neutral third +1 octave + 14: 23/9 1624.364346 vicesimotertial major third +1 octave + 15: 8/3 1698.044999 perfect 11th + 16: 25/9 1768.717426 classic augmented eleventh, BP twelfth + 17: 26/9 1836.617660 tridecimal diminished fifth +1 octave + 18: 3/1 1901.955001 perfect 12th + 19: 28/9 1964.915905 septimal minor 13th + 20: 29/9 2025.667192 + 21: 10/3 2084.358713 major 13th + 22: 31/9 2141.125571 + 23: 32/9 2196.089998 Pythagorean minor 14th + 24: 11/3 2249.362941 21/4-tone, undecimal neutral seventh +1 octave + 25: 34/9 2301.045408 septendecimal major seventh +1 octave + 26: 35/9 2351.229619 septimal semi-diminished octave +1 octave + 27: 4/1 2400.000000 2 octaves +| +HD4 10-40 - Harmonic division of 4: Harmonics 10-40 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 11/10 165.004228 4/5-tone, Ptolemy's second + 2: 6/5 315.641287 minor third + 3: 13/10 454.213948 tridecimal semi-diminished fourth + 4: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 5: 3/2 701.955001 perfect fifth + 6: 8/5 813.686286 minor sixth + 7: 17/10 918.641696 septendecimal diminished seventh + 8: 9/5 1017.596288 just minor seventh, BP seventh + 9: 19/10 1111.199302 undevicesimal major seventh + 10: 2/1 1200.000000 octave + 11: 21/10 1284.467193 minor semitone +1 octave + 12: 11/5 1365.004228 neutral ninth + 13: 23/10 1441.960633 + 14: 12/5 1515.641287 minor 10th + 15: 5/2 1586.313714 major 10th + 16: 13/5 1654.213948 tridecimal semi-diminished fourth +1 octave + 17: 27/10 1719.551289 acute fourth +1 octave + 18: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave + 19: 29/10 1843.263480 + 20: 3/1 1901.955001 perfect 12th + 21: 31/10 1958.721859 + 22: 16/5 2013.686286 minor 13th + 23: 33/10 2066.959229 + 24: 17/5 2118.641696 septendecimal diminished seventh +1 octave + 25: 7/2 2168.825906 harmonic 14th + 26: 18/5 2217.596288 minor 14th + 27: 37/10 2265.030325 + 28: 19/5 2311.199302 undevicesimal major seventh +1 octave + 29: 39/10 2356.168949 + 30: 4/1 2400.000000 2 octaves +| +HD4 11-44 - Harmonic division of 4: Harmonics 11-44 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 12/11 150.637059 3/4-tone, undecimal neutral second + 2: 13/11 289.209719 tridecimal minor third + 3: 14/11 417.507964 undecimal diminished fourth or major third + 4: 15/11 536.950772 undecimal augmented fourth + 5: 16/11 648.682058 undecimal semi-diminished fifth + 6: 17/11 753.637467 + 7: 18/11 852.592059 undecimal neutral sixth + 8: 19/11 946.195074 + 9: 20/11 1034.995772 large minor seventh + 10: 21/11 1119.462965 undecimal major seventh + 11: 2/1 1200.000000 octave + 12: 23/11 1276.956405 + 13: 24/11 1350.637059 3/4-tone, undecimal neutral second +1 octave + 14: 25/11 1421.309485 undecimal acute whole tone +1 octave + 15: 26/11 1489.209719 tridecimal minor third +1 octave + 16: 27/11 1554.547060 neutral third, Zalzal wosta of al-Farabi +1 octave + 17: 28/11 1617.507964 undecimal diminished fourth or major third +1 octave + 18: 29/11 1678.259252 + 19: 30/11 1736.950772 undecimal augmented fourth +1 octave + 20: 31/11 1793.717630 + 21: 32/11 1848.682058 undecimal semi-diminished fifth +1 octave + 22: 3/1 1901.955001 perfect 12th + 23: 34/11 1953.637467 + 24: 35/11 2003.821678 + 25: 36/11 2052.592059 undecimal neutral sixth +1 octave + 26: 37/11 2100.026096 + 27: 38/11 2146.195074 + 28: 39/11 2191.164720 + 29: 40/11 2234.995772 large minor seventh +1 octave + 30: 41/11 2277.744463 + 31: 42/11 2319.462965 undecimal major seventh +1 octave + 32: 43/11 2360.199763 + 33: 4/1 2400.000000 2 octaves +| +HD4 12-48 - Harmonic division of 4: Harmonics 12-48 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 13/12 138.572661 tridecimal 2/3-tone + 2: 7/6 266.870906 septimal minor third + 3: 5/4 386.313714 major third + 4: 4/3 498.044999 perfect fourth + 5: 17/12 603.000409 2nd septendecimal tritone + 6: 3/2 701.955001 perfect fifth + 7: 19/12 795.558015 undevicesimal minor sixth + 8: 5/3 884.358713 major sixth, BP sixth + 9: 7/4 968.825906 harmonic seventh + 10: 11/6 1049.362941 21/4-tone, undecimal neutral seventh + 11: 23/12 1126.319346 vicesimotertial major seventh + 12: 2/1 1200.000000 octave + 13: 25/12 1270.672427 classic augmented octave + 14: 13/6 1338.572661 tridecimal 2/3-tone +1 octave + 15: 9/4 1403.910002 major ninth + 16: 7/3 1466.870906 minimal tenth, BP tenth + 17: 29/12 1527.622193 + 18: 5/2 1586.313714 major 10th + 19: 31/12 1643.080572 + 20: 8/3 1698.044999 perfect 11th + 21: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 22: 17/6 1803.000409 2nd septendecimal tritone +1 octave + 23: 35/12 1853.184619 septimal semi-diminished fifth +1 octave + 24: 3/1 1901.955001 perfect 12th + 25: 37/12 1949.389038 + 26: 19/6 1995.558015 undevicesimal minor sixth +1 octave + 27: 13/4 2040.527662 tridecimal neutral sixth +1 octave + 28: 10/3 2084.358713 major 13th + 29: 41/12 2127.107405 + 30: 7/2 2168.825906 harmonic 14th + 31: 43/12 2209.562705 + 32: 11/3 2249.362941 21/4-tone, undecimal neutral seventh +1 octave + 33: 15/4 2288.268715 classic major 14th + 34: 23/6 2326.319346 vicesimotertial major seventh +1 octave + 35: 47/12 2363.551621 + 36: 4/1 2400.000000 2 octaves +| +HD4 13-52 - Harmonic division of 4: Harmonics 13-52 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 14/13 128.298245 2/3-tone + 2: 15/13 247.741053 tridecimal 5/4-tone + 3: 16/13 359.472338 tridecimal neutral third + 4: 17/13 464.427748 + 5: 18/13 563.382340 tridecimal augmented fourth + 6: 19/13 656.985354 + 7: 20/13 745.786052 tridecimal semi-augmented fifth + 8: 21/13 830.253246 + 9: 22/13 910.790281 tridecimal major sixth + 10: 23/13 987.746685 + 11: 24/13 1061.427339 tridecimal neutral seventh + 12: 25/13 1132.099766 + 13: 2/1 1200.000000 octave + 14: 27/13 1265.337341 tridecimal comma +1 octave + 15: 28/13 1328.298245 2/3-tone +1 octave + 16: 29/13 1389.049532 + 17: 30/13 1447.741053 tridecimal 5/4-tone +1 octave + 18: 31/13 1504.507911 + 19: 32/13 1559.472338 tridecimal neutral third +1 octave + 20: 33/13 1612.745281 tridecimal major third +1 octave + 21: 34/13 1664.427748 + 22: 35/13 1714.611959 + 23: 36/13 1763.382340 tridecimal augmented fourth +1 octave + 24: 37/13 1810.816377 + 25: 38/13 1856.985354 + 26: 3/1 1901.955001 perfect 12th + 27: 40/13 1945.786052 tridecimal semi-augmented fifth +1 octave + 28: 41/13 1988.534744 + 29: 42/13 2030.253246 + 30: 43/13 2070.990044 + 31: 44/13 2110.790281 tridecimal major sixth +1 octave + 32: 45/13 2149.696054 + 33: 46/13 2187.746685 + 34: 47/13 2224.978960 + 35: 48/13 2261.427339 tridecimal neutral seventh +1 octave + 36: 49/13 2297.124151 + 37: 50/13 2332.099766 + 38: 51/13 2366.382749 + 39: 4/1 2400.000000 2 octaves +| +HD4 14-56 - Harmonic division of 4: Harmonics 14-56 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 15/14 119.442808 major diatonic semitone + 2: 8/7 231.174094 septimal whole tone + 3: 17/14 336.129503 supraminor third + 4: 9/7 435.084095 septimal major third, BP third + 5: 19/14 528.687110 + 6: 10/7 617.487807 Euler's tritone + 7: 3/2 701.955001 perfect fifth + 8: 11/7 782.492036 undecimal augmented fifth + 9: 23/14 859.448441 + 10: 12/7 933.129094 septimal major sixth + 11: 25/14 1003.801521 middle minor seventh + 12: 13/7 1071.701755 16/3-tone + 13: 27/14 1137.039096 septimal major seventh + 14: 2/1 1200.000000 octave + 15: 29/14 1260.751288 + 16: 15/7 1319.442808 septimal minor ninth, BP ninth + 17: 31/14 1376.209666 + 18: 16/7 1431.174094 septimal major ninth + 19: 33/14 1484.447037 undecimal minor third +1 octave + 20: 17/7 1536.129503 supraminor third +1 octave + 21: 5/2 1586.313714 major 10th + 22: 18/7 1635.084095 septimal major 10th + 23: 37/14 1682.518132 + 24: 19/7 1728.687110 + 25: 39/14 1773.656756 + 26: 20/7 1817.487807 Euler's tritone +1 octave + 27: 41/14 1860.236499 + 28: 3/1 1901.955001 perfect 12th + 29: 43/14 1942.691799 + 30: 22/7 1982.492036 undecimal augmented fifth +1 octave + 31: 45/14 2021.397809 + 32: 23/7 2059.448441 + 33: 47/14 2096.680716 + 34: 24/7 2133.129094 septimal major 13th + 35: 7/2 2168.825906 harmonic 14th + 36: 25/7 2203.801521 middle minor seventh +1 octave + 37: 51/14 2238.084504 + 38: 26/7 2271.701755 16/3-tone +1 octave + 39: 53/14 2304.678639 + 40: 27/7 2337.039096 septimal major seventh +1 octave + 41: 55/14 2368.805750 + 42: 4/1 2400.000000 2 octaves +| +HD4 15-60 - Harmonic division of 4: Harmonics 15-60 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 16/15 111.731285 minor diatonic semitone + 2: 17/15 216.686695 septendecimal whole tone + 3: 6/5 315.641287 minor third + 4: 19/15 409.244301 undevicesimal ditone + 5: 4/3 498.044999 perfect fourth + 6: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 7: 22/15 663.049228 undecimal diminished fifth + 8: 23/15 740.005633 + 9: 8/5 813.686286 minor sixth + 10: 5/3 884.358713 major sixth, BP sixth + 11: 26/15 952.258947 tridecimal semi-augmented sixth + 12: 9/5 1017.596288 just minor seventh, BP seventh + 13: 28/15 1080.557192 grave major seventh + 14: 29/15 1141.308479 + 15: 2/1 1200.000000 octave + 16: 31/15 1256.766858 31st-partial chroma +1 octave + 17: 32/15 1311.731285 minor ninth + 18: 11/5 1365.004228 neutral ninth + 19: 34/15 1416.686695 septendecimal whole tone +1 octave + 20: 7/3 1466.870906 minimal tenth, BP tenth + 21: 12/5 1515.641287 minor 10th + 22: 37/15 1563.075324 + 23: 38/15 1609.244301 undevicesimal ditone +1 octave + 24: 13/5 1654.213948 tridecimal semi-diminished fourth +1 octave + 25: 8/3 1698.044999 perfect 11th + 26: 41/15 1740.793691 + 27: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave + 28: 43/15 1823.248991 + 29: 44/15 1863.049228 undecimal diminished fifth +1 octave + 30: 3/1 1901.955001 perfect 12th + 31: 46/15 1940.005633 + 32: 47/15 1977.237907 + 33: 16/5 2013.686286 minor 13th + 34: 49/15 2049.383098 larger approximation to neutral sixth +1 octave + 35: 10/3 2084.358713 major 13th + 36: 17/5 2118.641696 septendecimal diminished seventh +1 octave + 37: 52/15 2152.258947 tridecimal semi-augmented sixth +1 octave + 38: 53/15 2185.235831 + 39: 18/5 2217.596288 minor 14th + 40: 11/3 2249.362941 21/4-tone, undecimal neutral seventh +1 octave + 41: 56/15 2280.557192 grave major seventh +1 octave + 42: 19/5 2311.199302 undevicesimal major seventh +1 octave + 43: 58/15 2341.308479 + 44: 59/15 2370.902945 + 45: 4/1 2400.000000 2 octaves +| +HD4 16-64 - Harmonic division of 4: Harmonics 16-64 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 17/16 104.955410 17th harmonic + 2: 9/8 203.910002 major whole tone + 3: 19/16 297.513016 19th harmonic + 4: 5/4 386.313714 major third + 5: 21/16 470.780907 narrow fourth + 6: 11/8 551.317942 undecimal semi-augmented fourth + 7: 23/16 628.274347 23rd harmonic + 8: 3/2 701.955001 perfect fifth + 9: 25/16 772.627428 classic augmented fifth + 10: 13/8 840.527662 tridecimal neutral sixth + 11: 27/16 905.865003 Pythagorean major sixth + 12: 7/4 968.825906 harmonic seventh + 13: 29/16 1029.577194 29th harmonic + 14: 15/8 1088.268715 classic major seventh + 15: 31/16 1145.035572 31st harmonic + 16: 2/1 1200.000000 octave + 17: 33/16 1253.272943 undecimal comma, al-Farabi's 1/4-tone +1 octave + 18: 17/8 1304.955410 septendecimal minor ninth + 19: 35/16 1355.139620 septimal neutral second +1 octave + 20: 9/4 1403.910002 major ninth + 21: 37/16 1451.344039 37th harmonic +1 octave + 22: 19/8 1497.513016 19th harmonic +1 octave + 23: 39/16 1542.482663 39th harmonic, Zalzal wosta of Ibn Sina +1 octave + 24: 5/2 1586.313714 major 10th + 25: 41/16 1629.062406 + 26: 21/8 1670.780907 narrow fourth +1 octave + 27: 43/16 1711.517706 + 28: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 29: 45/16 1790.223716 diatonic tritone +1 octave + 30: 23/8 1828.274347 23rd harmonic +1 octave + 31: 47/16 1865.506622 + 32: 3/1 1901.955001 perfect 12th + 33: 49/16 1937.651813 + 34: 25/8 1972.627428 classic augmented 12th + 35: 51/16 2006.910410 + 36: 13/4 2040.527662 tridecimal neutral sixth +1 octave + 37: 53/16 2073.504545 + 38: 27/8 2105.865003 Pythagorean major sixth +1 octave + 39: 55/16 2137.631656 + 40: 7/2 2168.825906 harmonic 14th + 41: 57/16 2199.468017 + 42: 29/8 2229.577194 29th harmonic +1 octave + 43: 59/16 2259.171659 + 44: 15/4 2288.268715 classic major 14th + 45: 61/16 2316.884805 + 46: 31/8 2345.035572 31st harmonic +1 octave + 47: 63/16 2372.735908 octave - septimal comma +1 octave + 48: 4/1 2400.000000 2 octaves +| +SD2 08-04 - Subharmonic division of 2: Subharmonics 08-04 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 8/7 231.174094 septimal whole tone + 2: 4/3 498.044999 perfect fourth + 3: 8/5 813.686286 minor sixth + 4: 2/1 1200.000000 octave +| +SD2 10-05 - Subharmonic division of 2: Subharmonics 10-05 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 10/9 182.403712 minor whole tone + 2: 5/4 386.313714 major third + 3: 10/7 617.487807 Euler's tritone + 4: 5/3 884.358713 major sixth, BP sixth + 5: 2/1 1200.000000 octave +| +SD2 12-06 - Subharmonic division of 2: Subharmonics 12-06 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 12/11 150.637059 3/4-tone, undecimal neutral second + 2: 6/5 315.641287 minor third + 3: 4/3 498.044999 perfect fourth + 4: 3/2 701.955001 perfect fifth + 5: 12/7 933.129094 septimal major sixth + 6: 2/1 1200.000000 octave +| +SD2 14-07 - Subharmonic division of 2: Subharmonics 14-07 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 14/13 128.298245 2/3-tone + 2: 7/6 266.870906 septimal minor third + 3: 14/11 417.507964 undecimal diminished fourth or major third + 4: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 5: 14/9 764.915905 septimal minor sixth + 6: 7/4 968.825906 harmonic seventh + 7: 2/1 1200.000000 octave +| +SD2 16-08 - Subharmonic division of 2: Subharmonics 16-08 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 16/15 111.731285 minor diatonic semitone + 2: 8/7 231.174094 septimal whole tone + 3: 16/13 359.472338 tridecimal neutral third + 4: 4/3 498.044999 perfect fourth + 5: 16/11 648.682058 undecimal semi-diminished fifth + 6: 8/5 813.686286 minor sixth + 7: 16/9 996.089998 Pythagorean minor seventh + 8: 2/1 1200.000000 octave +| +SD2 18-09 - Subharmonic division of 2: Subharmonics 18-09 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 18/17 98.954592 Arabic lute index finger + 2: 9/8 203.910002 major whole tone + 3: 6/5 315.641287 minor third + 4: 9/7 435.084095 septimal major third, BP third + 5: 18/13 563.382340 tridecimal augmented fourth + 6: 3/2 701.955001 perfect fifth + 7: 18/11 852.592059 undecimal neutral sixth + 8: 9/5 1017.596288 just minor seventh, BP seventh + 9: 2/1 1200.000000 octave +| +SD2 20-10 - Subharmonic division of 2: Subharmonics 20-10 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 20/19 88.800698 small undevicesimal semitone + 2: 10/9 182.403712 minor whole tone + 3: 20/17 281.358304 septendecimal augmented second + 4: 5/4 386.313714 major third + 5: 4/3 498.044999 perfect fourth + 6: 10/7 617.487807 Euler's tritone + 7: 20/13 745.786052 tridecimal semi-augmented fifth + 8: 5/3 884.358713 major sixth, BP sixth + 9: 20/11 1034.995772 large minor seventh + 10: 2/1 1200.000000 octave +| +SD2 22-11 - Subharmonic division of 2: Subharmonics 22-11 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 22/21 80.537035 undecimal minor semitone + 2: 11/10 165.004228 4/5-tone, Ptolemy's second + 3: 22/19 253.804926 + 4: 11/9 347.407941 undecimal neutral third + 5: 22/17 446.362533 + 6: 11/8 551.317942 undecimal semi-augmented fourth + 7: 22/15 663.049228 undecimal diminished fifth + 8: 11/7 782.492036 undecimal augmented fifth + 9: 22/13 910.790281 tridecimal major sixth + 10: 11/6 1049.362941 21/4-tone, undecimal neutral seventh + 11: 2/1 1200.000000 octave +| +SD2 24-12 - Subharmonic division of 2: Subharmonics 24-12 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 24/23 73.680654 vicesimotertial minor semitone + 2: 12/11 150.637059 3/4-tone, undecimal neutral second + 3: 8/7 231.174094 septimal whole tone + 4: 6/5 315.641287 minor third + 5: 24/19 404.441985 smaller undevicesimal major third + 6: 4/3 498.044999 perfect fourth + 7: 24/17 596.999591 1st septendecimal tritone + 8: 3/2 701.955001 perfect fifth + 9: 8/5 813.686286 minor sixth + 10: 12/7 933.129094 septimal major sixth + 11: 24/13 1061.427339 tridecimal neutral seventh + 12: 2/1 1200.000000 octave +| +SD2 26-13 - Subharmonic division of 2: Subharmonics 26-13 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 26/25 67.900234 tridecimal 1/3-tone + 2: 13/12 138.572661 tridecimal 2/3-tone + 3: 26/23 212.253315 + 4: 13/11 289.209719 tridecimal minor third + 5: 26/21 369.746754 + 6: 13/10 454.213948 tridecimal semi-diminished fourth + 7: 26/19 543.014646 + 8: 13/9 636.617660 tridecimal diminished fifth + 9: 26/17 735.572252 + 10: 13/8 840.527662 tridecimal neutral sixth + 11: 26/15 952.258947 tridecimal semi-augmented sixth + 12: 13/7 1071.701755 16/3-tone + 13: 2/1 1200.000000 octave +| +SD2 28-14 - Subharmonic division of 2: Subharmonics 28-14 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 28/27 62.960904 Archytas' 1/3-tone + 2: 14/13 128.298245 2/3-tone + 3: 28/25 196.198479 middle second + 4: 7/6 266.870906 septimal minor third + 5: 28/23 340.551559 + 6: 14/11 417.507964 undecimal diminished fourth or major third + 7: 4/3 498.044999 perfect fourth + 8: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 9: 28/19 671.312890 + 10: 14/9 764.915905 septimal minor sixth + 11: 28/17 863.870497 submajor sixth + 12: 7/4 968.825906 harmonic seventh + 13: 28/15 1080.557192 grave major seventh + 14: 2/1 1200.000000 octave +| +SD2 30-15 - Subharmonic division of 2: Subharmonics 30-15 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 30/29 58.691521 + 2: 15/14 119.442808 major diatonic semitone + 3: 10/9 182.403712 minor whole tone + 4: 15/13 247.741053 tridecimal 5/4-tone + 5: 6/5 315.641287 minor third + 6: 5/4 386.313714 major third + 7: 30/23 459.994367 + 8: 15/11 536.950772 undecimal augmented fourth + 9: 10/7 617.487807 Euler's tritone + 10: 3/2 701.955001 perfect fifth + 11: 30/19 790.755699 smaller undevicesimal minor sixth + 12: 5/3 884.358713 major sixth, BP sixth + 13: 30/17 983.313305 septendecimal minor seventh + 14: 15/8 1088.268715 classic major seventh + 15: 2/1 1200.000000 octave +| +SD2 32-16 - Subharmonic division of 2: Subharmonics 32-16 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 32/31 54.964428 Greek enharmonic 1/4-tone + 2: 16/15 111.731285 minor diatonic semitone + 3: 32/29 170.422806 29th subharmonic + 4: 8/7 231.174094 septimal whole tone + 5: 32/27 294.134997 Pythagorean minor third + 6: 16/13 359.472338 tridecimal neutral third + 7: 32/25 427.372572 classic diminished fourth + 8: 4/3 498.044999 perfect fourth + 9: 32/23 571.725653 23rd subharmonic + 10: 16/11 648.682058 undecimal semi-diminished fifth + 11: 32/21 729.219093 wide fifth + 12: 8/5 813.686286 minor sixth + 13: 32/19 902.486984 19th subharmonic + 14: 16/9 996.089998 Pythagorean minor seventh + 15: 32/17 1095.044590 17th subharmonic + 16: 2/1 1200.000000 octave +| +SD3 12-04 - Subharmonic division of 3: Subharmonics 12-04 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 12/11 150.637059 3/4-tone, undecimal neutral second + 2: 6/5 315.641287 minor third + 3: 4/3 498.044999 perfect fourth + 4: 3/2 701.955001 perfect fifth + 5: 12/7 933.129094 septimal major sixth + 6: 2/1 1200.000000 octave + 7: 12/5 1515.641287 minor 10th + 8: 3/1 1901.955001 perfect 12th +| +SD3 15-05 - Subharmonic division of 3: Subharmonics 15-05 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 15/14 119.442808 major diatonic semitone + 2: 15/13 247.741053 tridecimal 5/4-tone + 3: 5/4 386.313714 major third + 4: 15/11 536.950772 undecimal augmented fourth + 5: 3/2 701.955001 perfect fifth + 6: 5/3 884.358713 major sixth, BP sixth + 7: 15/8 1088.268715 classic major seventh + 8: 15/7 1319.442808 septimal minor ninth, BP ninth + 9: 5/2 1586.313714 major 10th + 10: 3/1 1901.955001 perfect 12th +| +SD3 18-06 - Subharmonic division of 3: Subharmonics 18-06 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 18/17 98.954592 Arabic lute index finger + 2: 9/8 203.910002 major whole tone + 3: 6/5 315.641287 minor third + 4: 9/7 435.084095 septimal major third, BP third + 5: 18/13 563.382340 tridecimal augmented fourth + 6: 3/2 701.955001 perfect fifth + 7: 18/11 852.592059 undecimal neutral sixth + 8: 9/5 1017.596288 just minor seventh, BP seventh + 9: 2/1 1200.000000 octave + 10: 9/4 1403.910002 major ninth + 11: 18/7 1635.084095 septimal major 10th + 12: 3/1 1901.955001 perfect 12th +| +SD3 21-07 - Subharmonic division of 3: Subharmonics 21-07 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 21/20 84.467193 minor semitone + 2: 21/19 173.267891 + 3: 7/6 266.870906 septimal minor third + 4: 21/17 365.825498 submajor third + 5: 21/16 470.780907 narrow fourth + 6: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 7: 3/2 701.955001 perfect fifth + 8: 21/13 830.253246 + 9: 7/4 968.825906 harmonic seventh + 10: 21/11 1119.462965 undecimal major seventh + 11: 21/10 1284.467193 minor semitone +1 octave + 12: 7/3 1466.870906 minimal tenth, BP tenth + 13: 21/8 1670.780907 narrow fourth +1 octave + 14: 3/1 1901.955001 perfect 12th +| +SD3 24-08 - Subharmonic division of 3: Subharmonics 24-08 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 24/23 73.680654 vicesimotertial minor semitone + 2: 12/11 150.637059 3/4-tone, undecimal neutral second + 3: 8/7 231.174094 septimal whole tone + 4: 6/5 315.641287 minor third + 5: 24/19 404.441985 smaller undevicesimal major third + 6: 4/3 498.044999 perfect fourth + 7: 24/17 596.999591 1st septendecimal tritone + 8: 3/2 701.955001 perfect fifth + 9: 8/5 813.686286 minor sixth + 10: 12/7 933.129094 septimal major sixth + 11: 24/13 1061.427339 tridecimal neutral seventh + 12: 2/1 1200.000000 octave + 13: 24/11 1350.637059 3/4-tone, undecimal neutral second +1 octave + 14: 12/5 1515.641287 minor 10th + 15: 8/3 1698.044999 perfect 11th + 16: 3/1 1901.955001 perfect 12th +| +SD3 27-09 - Subharmonic division of 3: Subharmonics 27-09 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 27/26 65.337341 tridecimal comma + 2: 27/25 133.237575 large limma, BP small semitone + 3: 9/8 203.910002 major whole tone + 4: 27/23 277.590655 vicesimotertial minor third + 5: 27/22 354.547060 neutral third, Zalzal wosta of al-Farabi + 6: 9/7 435.084095 septimal major third, BP third + 7: 27/20 519.551289 acute fourth + 8: 27/19 608.351986 + 9: 3/2 701.955001 perfect fifth + 10: 27/17 800.909593 septendecimal minor sixth + 11: 27/16 905.865003 Pythagorean major sixth + 12: 9/5 1017.596288 just minor seventh, BP seventh + 13: 27/14 1137.039096 septimal major seventh + 14: 27/13 1265.337341 tridecimal comma +1 octave + 15: 9/4 1403.910002 major ninth + 16: 27/11 1554.547060 neutral third, Zalzal wosta of al-Farabi +1 octave + 17: 27/10 1719.551289 acute fourth +1 octave + 18: 3/1 1901.955001 perfect 12th +| +SD3 30-10 - Subharmonic division of 3: Subharmonics 30-10 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 30/29 58.691521 + 2: 15/14 119.442808 major diatonic semitone + 3: 10/9 182.403712 minor whole tone + 4: 15/13 247.741053 tridecimal 5/4-tone + 5: 6/5 315.641287 minor third + 6: 5/4 386.313714 major third + 7: 30/23 459.994367 + 8: 15/11 536.950772 undecimal augmented fourth + 9: 10/7 617.487807 Euler's tritone + 10: 3/2 701.955001 perfect fifth + 11: 30/19 790.755699 smaller undevicesimal minor sixth + 12: 5/3 884.358713 major sixth, BP sixth + 13: 30/17 983.313305 septendecimal minor seventh + 14: 15/8 1088.268715 classic major seventh + 15: 2/1 1200.000000 octave + 16: 15/7 1319.442808 septimal minor ninth, BP ninth + 17: 30/13 1447.741053 tridecimal 5/4-tone +1 octave + 18: 5/2 1586.313714 major 10th + 19: 30/11 1736.950772 undecimal augmented fourth +1 octave + 20: 3/1 1901.955001 perfect 12th +| +SD3 33-11 - Subharmonic division of 3: Subharmonics 33-11 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 33/32 53.272943 undecimal comma, al-Farabi's 1/4-tone + 2: 33/31 108.237371 + 3: 11/10 165.004228 4/5-tone, Ptolemy's second + 4: 33/29 223.695749 + 5: 33/28 284.447037 undecimal minor third + 6: 11/9 347.407941 undecimal neutral third + 7: 33/26 412.745281 tridecimal major third + 8: 33/25 480.645516 2 pentatones + 9: 11/8 551.317942 undecimal semi-augmented fourth + 10: 33/23 624.998596 + 11: 3/2 701.955001 perfect fifth + 12: 11/7 782.492036 undecimal augmented fifth + 13: 33/20 866.959229 + 14: 33/19 955.759927 + 15: 11/6 1049.362941 21/4-tone, undecimal neutral seventh + 16: 33/17 1148.317534 + 17: 33/16 1253.272943 undecimal comma, al-Farabi's 1/4-tone +1 octave + 18: 11/5 1365.004228 neutral ninth + 19: 33/14 1484.447037 undecimal minor third +1 octave + 20: 33/13 1612.745281 tridecimal major third +1 octave + 21: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 22: 3/1 1901.955001 perfect 12th +| +SD3 36-12 - Subharmonic division of 3: Subharmonics 36-12 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 36/35 48.770381 septimal diesis, 1/4-tone + 2: 18/17 98.954592 Arabic lute index finger + 3: 12/11 150.637059 3/4-tone, undecimal neutral second + 4: 9/8 203.910002 major whole tone + 5: 36/31 258.874429 + 6: 6/5 315.641287 minor third + 7: 36/29 374.332808 + 8: 9/7 435.084095 septimal major third, BP third + 9: 4/3 498.044999 perfect fourth + 10: 18/13 563.382340 tridecimal augmented fourth + 11: 36/25 631.282574 classic diminished fifth + 12: 3/2 701.955001 perfect fifth + 13: 36/23 775.635654 + 14: 18/11 852.592059 undecimal neutral sixth + 15: 12/7 933.129094 septimal major sixth + 16: 9/5 1017.596288 just minor seventh, BP seventh + 17: 36/19 1106.396986 smaller undevicesimal major seventh + 18: 2/1 1200.000000 octave + 19: 36/17 1298.954592 Arabic lute index finger +1 octave + 20: 9/4 1403.910002 major ninth + 21: 12/5 1515.641287 minor 10th + 22: 18/7 1635.084095 septimal major 10th + 23: 36/13 1763.382340 tridecimal augmented fourth +1 octave + 24: 3/1 1901.955001 perfect 12th +| +SD3 39-13 - Subharmonic division of 3: Subharmonics 39-13 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 39/38 44.969647 + 2: 39/37 91.138624 + 3: 13/12 138.572661 tridecimal 2/3-tone + 4: 39/35 187.343042 + 5: 39/34 237.527253 + 6: 13/11 289.209719 tridecimal minor third + 7: 39/32 342.482663 39th harmonic, Zalzal wosta of Ibn Sina + 8: 39/31 397.447090 + 9: 13/10 454.213948 tridecimal semi-diminished fourth + 10: 39/29 512.905468 + 11: 39/28 573.656756 + 12: 13/9 636.617660 tridecimal diminished fifth + 13: 3/2 701.955001 perfect fifth + 14: 39/25 769.855235 + 15: 13/8 840.527662 tridecimal neutral sixth + 16: 39/23 914.208315 + 17: 39/22 991.164720 + 18: 13/7 1071.701755 16/3-tone + 19: 39/20 1156.168949 + 20: 39/19 1244.969647 + 21: 13/6 1338.572661 tridecimal 2/3-tone +1 octave + 22: 39/17 1437.527253 + 23: 39/16 1542.482663 39th harmonic, Zalzal wosta of Ibn Sina +1 octave + 24: 13/5 1654.213948 tridecimal semi-diminished fourth +1 octave + 25: 39/14 1773.656756 + 26: 3/1 1901.955001 perfect 12th +| +SD3 42-14 - Subharmonic division of 3: Subharmonics 42-14 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 42/41 41.718502 + 2: 21/20 84.467193 minor semitone + 3: 14/13 128.298245 2/3-tone + 4: 21/19 173.267891 + 5: 42/37 219.436869 + 6: 7/6 266.870906 septimal minor third + 7: 6/5 315.641287 minor third + 8: 21/17 365.825498 submajor third + 9: 14/11 417.507964 undecimal diminished fourth or major third + 10: 21/16 470.780907 narrow fourth + 11: 42/31 525.745335 + 12: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 13: 42/29 641.203713 + 14: 3/2 701.955001 perfect fifth + 15: 14/9 764.915905 septimal minor sixth + 16: 21/13 830.253246 + 17: 42/25 898.153480 quasi-tempered major sixth + 18: 7/4 968.825906 harmonic seventh + 19: 42/23 1042.506560 + 20: 21/11 1119.462965 undecimal major seventh + 21: 2/1 1200.000000 octave + 22: 21/10 1284.467193 minor semitone +1 octave + 23: 42/19 1373.267891 + 24: 7/3 1466.870906 minimal tenth, BP tenth + 25: 42/17 1565.825498 submajor third +1 octave + 26: 21/8 1670.780907 narrow fourth +1 octave + 27: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave + 28: 3/1 1901.955001 perfect 12th +| +SD3 45-15 - Subharmonic division of 3: Subharmonics 45-15 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 45/44 38.905773 1/5-tone + 2: 45/43 78.706010 + 3: 15/14 119.442808 major diatonic semitone + 4: 45/41 161.161310 + 5: 9/8 203.910002 major whole tone + 6: 15/13 247.741053 tridecimal 5/4-tone + 7: 45/38 292.710699 + 8: 45/37 338.879677 + 9: 5/4 386.313714 major third + 10: 9/7 435.084095 septimal major third, BP third + 11: 45/34 485.268306 + 12: 15/11 536.950772 undecimal augmented fourth + 13: 45/32 590.223716 diatonic tritone + 14: 45/31 645.188143 + 15: 3/2 701.955001 perfect fifth + 16: 45/29 760.646521 + 17: 45/28 821.397809 + 18: 5/3 884.358713 major sixth, BP sixth + 19: 45/26 949.696054 + 20: 9/5 1017.596288 just minor seventh, BP seventh + 21: 15/8 1088.268715 classic major seventh + 22: 45/23 1161.949368 + 23: 45/22 1238.905773 1/5-tone +1 octave + 24: 15/7 1319.442808 septimal minor ninth, BP ninth + 25: 9/4 1403.910002 major ninth + 26: 45/19 1492.710699 + 27: 5/2 1586.313714 major 10th + 28: 45/17 1685.268306 + 29: 45/16 1790.223716 diatonic tritone +1 octave + 30: 3/1 1901.955001 perfect 12th +| +SD3 48-16 - Subharmonic division of 3: Subharmonics 48-16 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 48/47 36.448379 + 2: 24/23 73.680654 vicesimotertial minor semitone + 3: 16/15 111.731285 minor diatonic semitone + 4: 12/11 150.637059 3/4-tone, undecimal neutral second + 5: 48/43 190.437295 + 6: 8/7 231.174094 septimal whole tone + 7: 48/41 272.892595 + 8: 6/5 315.641287 minor third + 9: 16/13 359.472338 tridecimal neutral third + 10: 24/19 404.441985 smaller undevicesimal major third + 11: 48/37 450.610962 + 12: 4/3 498.044999 perfect fourth + 13: 48/35 546.815381 septimal semi-augmented fourth + 14: 24/17 596.999591 1st septendecimal tritone + 15: 16/11 648.682058 undecimal semi-diminished fifth + 16: 3/2 701.955001 perfect fifth + 17: 48/31 756.919428 + 18: 8/5 813.686286 minor sixth + 19: 48/29 872.377807 + 20: 12/7 933.129094 septimal major sixth + 21: 16/9 996.089998 Pythagorean minor seventh + 22: 24/13 1061.427339 tridecimal neutral seventh + 23: 48/25 1129.327573 classic diminished octave + 24: 2/1 1200.000000 octave + 25: 48/23 1273.680654 vicesimotertial minor semitone +1 octave + 26: 24/11 1350.637059 3/4-tone, undecimal neutral second +1 octave + 27: 16/7 1431.174094 septimal major ninth + 28: 12/5 1515.641287 minor 10th + 29: 48/19 1604.441985 smaller undevicesimal major third +1 octave + 30: 8/3 1698.044999 perfect 11th + 31: 48/17 1796.999591 1st septendecimal tritone +1 octave + 32: 3/1 1901.955001 perfect 12th +| +SD4 16-04 - Subharmonic division of 4: Subharmonics 16-04 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 16/15 111.731285 minor diatonic semitone + 2: 8/7 231.174094 septimal whole tone + 3: 16/13 359.472338 tridecimal neutral third + 4: 4/3 498.044999 perfect fourth + 5: 16/11 648.682058 undecimal semi-diminished fifth + 6: 8/5 813.686286 minor sixth + 7: 16/9 996.089998 Pythagorean minor seventh + 8: 2/1 1200.000000 octave + 9: 16/7 1431.174094 septimal major ninth + 10: 8/3 1698.044999 perfect 11th + 11: 16/5 2013.686286 minor 13th + 12: 4/1 2400.000000 2 octaves +| +SD4 20-05 - Subharmonic division of 4: Subharmonics 20-05 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 20/19 88.800698 small undevicesimal semitone + 2: 10/9 182.403712 minor whole tone + 3: 20/17 281.358304 septendecimal augmented second + 4: 5/4 386.313714 major third + 5: 4/3 498.044999 perfect fourth + 6: 10/7 617.487807 Euler's tritone + 7: 20/13 745.786052 tridecimal semi-augmented fifth + 8: 5/3 884.358713 major sixth, BP sixth + 9: 20/11 1034.995772 large minor seventh + 10: 2/1 1200.000000 octave + 11: 20/9 1382.403712 small ninth + 12: 5/2 1586.313714 major 10th + 13: 20/7 1817.487807 Euler's tritone +1 octave + 14: 10/3 2084.358713 major 13th + 15: 4/1 2400.000000 2 octaves +| +SD4 24-06 - Subharmonic division of 4: Subharmonics 24-06 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 24/23 73.680654 vicesimotertial minor semitone + 2: 12/11 150.637059 3/4-tone, undecimal neutral second + 3: 8/7 231.174094 septimal whole tone + 4: 6/5 315.641287 minor third + 5: 24/19 404.441985 smaller undevicesimal major third + 6: 4/3 498.044999 perfect fourth + 7: 24/17 596.999591 1st septendecimal tritone + 8: 3/2 701.955001 perfect fifth + 9: 8/5 813.686286 minor sixth + 10: 12/7 933.129094 septimal major sixth + 11: 24/13 1061.427339 tridecimal neutral seventh + 12: 2/1 1200.000000 octave + 13: 24/11 1350.637059 3/4-tone, undecimal neutral second +1 octave + 14: 12/5 1515.641287 minor 10th + 15: 8/3 1698.044999 perfect 11th + 16: 3/1 1901.955001 perfect 12th + 17: 24/7 2133.129094 septimal major 13th + 18: 4/1 2400.000000 2 octaves +| +SD4 28-07 - Subharmonic division of 4: Subharmonics 28-07 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 28/27 62.960904 Archytas' 1/3-tone + 2: 14/13 128.298245 2/3-tone + 3: 28/25 196.198479 middle second + 4: 7/6 266.870906 septimal minor third + 5: 28/23 340.551559 + 6: 14/11 417.507964 undecimal diminished fourth or major third + 7: 4/3 498.044999 perfect fourth + 8: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 9: 28/19 671.312890 + 10: 14/9 764.915905 septimal minor sixth + 11: 28/17 863.870497 submajor sixth + 12: 7/4 968.825906 harmonic seventh + 13: 28/15 1080.557192 grave major seventh + 14: 2/1 1200.000000 octave + 15: 28/13 1328.298245 2/3-tone +1 octave + 16: 7/3 1466.870906 minimal tenth, BP tenth + 17: 28/11 1617.507964 undecimal diminished fourth or major third +1 octave + 18: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave + 19: 28/9 1964.915905 septimal minor 13th + 20: 7/2 2168.825906 harmonic 14th + 21: 4/1 2400.000000 2 octaves +| +SD4 32-08 - Subharmonic division of 4: Subharmonics 32-08 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 32/31 54.964428 Greek enharmonic 1/4-tone + 2: 16/15 111.731285 minor diatonic semitone + 3: 32/29 170.422806 29th subharmonic + 4: 8/7 231.174094 septimal whole tone + 5: 32/27 294.134997 Pythagorean minor third + 6: 16/13 359.472338 tridecimal neutral third + 7: 32/25 427.372572 classic diminished fourth + 8: 4/3 498.044999 perfect fourth + 9: 32/23 571.725653 23rd subharmonic + 10: 16/11 648.682058 undecimal semi-diminished fifth + 11: 32/21 729.219093 wide fifth + 12: 8/5 813.686286 minor sixth + 13: 32/19 902.486984 19th subharmonic + 14: 16/9 996.089998 Pythagorean minor seventh + 15: 32/17 1095.044590 17th subharmonic + 16: 2/1 1200.000000 octave + 17: 32/15 1311.731285 minor ninth + 18: 16/7 1431.174094 septimal major ninth + 19: 32/13 1559.472338 tridecimal neutral third +1 octave + 20: 8/3 1698.044999 perfect 11th + 21: 32/11 1848.682058 undecimal semi-diminished fifth +1 octave + 22: 16/5 2013.686286 minor 13th + 23: 32/9 2196.089998 Pythagorean minor 14th + 24: 4/1 2400.000000 2 octaves +| +SD4 36-09 - Subharmonic division of 4: Subharmonics 36-09 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 36/35 48.770381 septimal diesis, 1/4-tone + 2: 18/17 98.954592 Arabic lute index finger + 3: 12/11 150.637059 3/4-tone, undecimal neutral second + 4: 9/8 203.910002 major whole tone + 5: 36/31 258.874429 + 6: 6/5 315.641287 minor third + 7: 36/29 374.332808 + 8: 9/7 435.084095 septimal major third, BP third + 9: 4/3 498.044999 perfect fourth + 10: 18/13 563.382340 tridecimal augmented fourth + 11: 36/25 631.282574 classic diminished fifth + 12: 3/2 701.955001 perfect fifth + 13: 36/23 775.635654 + 14: 18/11 852.592059 undecimal neutral sixth + 15: 12/7 933.129094 septimal major sixth + 16: 9/5 1017.596288 just minor seventh, BP seventh + 17: 36/19 1106.396986 smaller undevicesimal major seventh + 18: 2/1 1200.000000 octave + 19: 36/17 1298.954592 Arabic lute index finger +1 octave + 20: 9/4 1403.910002 major ninth + 21: 12/5 1515.641287 minor 10th + 22: 18/7 1635.084095 septimal major 10th + 23: 36/13 1763.382340 tridecimal augmented fourth +1 octave + 24: 3/1 1901.955001 perfect 12th + 25: 36/11 2052.592059 undecimal neutral sixth +1 octave + 26: 18/5 2217.596288 minor 14th + 27: 4/1 2400.000000 2 octaves +| +SD4 40-10 - Subharmonic division of 4: Subharmonics 40-10 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 40/39 43.831051 tridecimal minor diesis + 2: 20/19 88.800698 small undevicesimal semitone + 3: 40/37 134.969675 + 4: 10/9 182.403712 minor whole tone + 5: 8/7 231.174094 septimal whole tone + 6: 20/17 281.358304 septendecimal augmented second + 7: 40/33 333.040771 + 8: 5/4 386.313714 major third + 9: 40/31 441.278141 + 10: 4/3 498.044999 perfect fourth + 11: 40/29 556.736520 + 12: 10/7 617.487807 Euler's tritone + 13: 40/27 680.448711 grave fifth + 14: 20/13 745.786052 tridecimal semi-augmented fifth + 15: 8/5 813.686286 minor sixth + 16: 5/3 884.358713 major sixth, BP sixth + 17: 40/23 958.039367 + 18: 20/11 1034.995772 large minor seventh + 19: 40/21 1115.532807 acute major seventh + 20: 2/1 1200.000000 octave + 21: 40/19 1288.800698 small undevicesimal semitone +1 octave + 22: 20/9 1382.403712 small ninth + 23: 40/17 1481.358304 septendecimal augmented second +1 octave + 24: 5/2 1586.313714 major 10th + 25: 8/3 1698.044999 perfect 11th + 26: 20/7 1817.487807 Euler's tritone +1 octave + 27: 40/13 1945.786052 tridecimal semi-augmented fifth +1 octave + 28: 10/3 2084.358713 major 13th + 29: 40/11 2234.995772 large minor seventh +1 octave + 30: 4/1 2400.000000 2 octaves +| +SD4 44-11 - Subharmonic division of 4: Subharmonics 44-11 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 44/43 39.800237 + 2: 22/21 80.537035 undecimal minor semitone + 3: 44/41 122.255537 + 4: 11/10 165.004228 4/5-tone, Ptolemy's second + 5: 44/39 208.835280 + 6: 22/19 253.804926 + 7: 44/37 299.973904 + 8: 11/9 347.407941 undecimal neutral third + 9: 44/35 396.178322 + 10: 22/17 446.362533 + 11: 4/3 498.044999 perfect fourth + 12: 11/8 551.317942 undecimal semi-augmented fourth + 13: 44/31 606.282370 + 14: 22/15 663.049228 undecimal diminished fifth + 15: 44/29 721.740748 + 16: 11/7 782.492036 undecimal augmented fifth + 17: 44/27 845.452940 neutral sixth + 18: 22/13 910.790281 tridecimal major sixth + 19: 44/25 978.690515 undecimal grave minor seventh + 20: 11/6 1049.362941 21/4-tone, undecimal neutral seventh + 21: 44/23 1123.043595 + 22: 2/1 1200.000000 octave + 23: 44/21 1280.537035 undecimal minor semitone +1 octave + 24: 11/5 1365.004228 neutral ninth + 25: 44/19 1453.804926 + 26: 22/9 1547.407941 undecimal neutral third +1 octave + 27: 44/17 1646.362533 + 28: 11/4 1751.317942 undecimal semi-augmented fourth +1 octave + 29: 44/15 1863.049228 undecimal diminished fifth +1 octave + 30: 22/7 1982.492036 undecimal augmented fifth +1 octave + 31: 44/13 2110.790281 tridecimal major sixth +1 octave + 32: 11/3 2249.362941 21/4-tone, undecimal neutral seventh +1 octave + 33: 4/1 2400.000000 2 octaves +| +| + 0: 1/1 0.000000 unison, perfect prime + 1: 48/47 36.448379 + 2: 24/23 73.680654 vicesimotertial minor semitone + 3: 16/15 111.731285 minor diatonic semitone + 4: 12/11 150.637059 3/4-tone, undecimal neutral second + 5: 48/43 190.437295 + 6: 8/7 231.174094 septimal whole tone + 7: 48/41 272.892595 + 8: 6/5 315.641287 minor third + 9: 16/13 359.472338 tridecimal neutral third + 10: 24/19 404.441985 smaller undevicesimal major third + 11: 48/37 450.610962 + 12: 4/3 498.044999 perfect fourth + 13: 48/35 546.815381 septimal semi-augmented fourth + 14: 24/17 596.999591 1st septendecimal tritone + 15: 16/11 648.682058 undecimal semi-diminished fifth + 16: 3/2 701.955001 perfect fifth + 17: 48/31 756.919428 + 18: 8/5 813.686286 minor sixth + 19: 48/29 872.377807 + 20: 12/7 933.129094 septimal major sixth + 21: 16/9 996.089998 Pythagorean minor seventh + 22: 24/13 1061.427339 tridecimal neutral seventh + 23: 48/25 1129.327573 classic diminished octave + 24: 2/1 1200.000000 octave + 25: 48/23 1273.680654 vicesimotertial minor semitone +1 octave + 26: 24/11 1350.637059 3/4-tone, undecimal neutral second +1 octave + 27: 16/7 1431.174094 septimal major ninth + 28: 12/5 1515.641287 minor 10th + 29: 48/19 1604.441985 smaller undevicesimal major third +1 octave + 30: 8/3 1698.044999 perfect 11th + 31: 48/17 1796.999591 1st septendecimal tritone +1 octave + 32: 3/1 1901.955001 perfect 12th + 33: 16/5 2013.686286 minor 13th + 34: 24/7 2133.129094 septimal major 13th + 35: 48/13 2261.427339 tridecimal neutral seventh +1 octave + 36: 4/1 2400.000000 2 octaves +| +SD4 52-13 - Subharmonic division of 4: Subharmonics 52-13 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 52/51 33.617251 + 2: 26/25 67.900234 tridecimal 1/3-tone + 3: 52/49 102.875849 + 4: 13/12 138.572661 tridecimal 2/3-tone + 5: 52/47 175.021040 + 6: 26/23 212.253315 + 7: 52/45 250.303946 + 8: 13/11 289.209719 tridecimal minor third + 9: 52/43 329.009956 + 10: 26/21 369.746754 + 11: 52/41 411.465256 + 12: 13/10 454.213948 tridecimal semi-diminished fourth + 13: 4/3 498.044999 perfect fourth + 14: 26/19 543.014646 + 15: 52/37 589.183623 + 16: 13/9 636.617660 tridecimal diminished fifth + 17: 52/35 685.388041 + 18: 26/17 735.572252 + 19: 52/33 787.254719 tridecimal minor sixth + 20: 13/8 840.527662 tridecimal neutral sixth + 21: 52/31 895.492089 + 22: 26/15 952.258947 tridecimal semi-augmented sixth + 23: 52/29 1010.950468 + 24: 13/7 1071.701755 16/3-tone + 25: 52/27 1134.662659 + 26: 2/1 1200.000000 octave + 27: 52/25 1267.900234 tridecimal 1/3-tone +1 octave + 28: 13/6 1338.572661 tridecimal 2/3-tone +1 octave + 29: 52/23 1412.253315 + 30: 26/11 1489.209719 tridecimal minor third +1 octave + 31: 52/21 1569.746754 + 32: 13/5 1654.213948 tridecimal semi-diminished fourth +1 octave + 33: 52/19 1743.014646 + 34: 26/9 1836.617660 tridecimal diminished fifth +1 octave + 35: 52/17 1935.572252 + 36: 13/4 2040.527662 tridecimal neutral sixth +1 octave + 37: 52/15 2152.258947 tridecimal semi-augmented sixth +1 octave + 38: 26/7 2271.701755 16/3-tone +1 octave + 39: 4/1 2400.000000 2 octaves +| +SD4 56-14 - Subharmonic division of 4: Subharmonics 56-14 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 56/55 31.194250 undecimal diesis + 2: 28/27 62.960904 Archytas' 1/3-tone + 3: 56/53 95.321361 + 4: 14/13 128.298245 2/3-tone + 5: 56/51 161.915496 + 6: 28/25 196.198479 middle second + 7: 8/7 231.174094 septimal whole tone + 8: 7/6 266.870906 septimal minor third + 9: 56/47 303.319284 + 10: 28/23 340.551559 + 11: 56/45 378.602191 + 12: 14/11 417.507964 undecimal diminished fourth or major third + 13: 56/43 457.308201 + 14: 4/3 498.044999 perfect fourth + 15: 56/41 539.763501 + 16: 7/5 582.512193 septimal or Huygens' tritone, BP fourth + 17: 56/39 626.343244 + 18: 28/19 671.312890 + 19: 56/37 717.481868 + 20: 14/9 764.915905 septimal minor sixth + 21: 8/5 813.686286 minor sixth + 22: 28/17 863.870497 submajor sixth + 23: 56/33 915.552963 + 24: 7/4 968.825906 harmonic seventh + 25: 56/31 1023.790334 + 26: 28/15 1080.557192 grave major seventh + 27: 56/29 1139.248712 + 28: 2/1 1200.000000 octave + 29: 56/27 1262.960904 Archytas' 1/3-tone +1 octave + 30: 28/13 1328.298245 2/3-tone +1 octave + 31: 56/25 1396.198479 middle second +1 octave + 32: 7/3 1466.870906 minimal tenth, BP tenth + 33: 56/23 1540.551559 + 34: 28/11 1617.507964 undecimal diminished fourth or major third +1 octave + 35: 8/3 1698.044999 perfect 11th + 36: 14/5 1782.512193 septimal or Huygens' tritone, BP fourth +1 octave + 37: 56/19 1871.312890 + 38: 28/9 1964.915905 septimal minor 13th + 39: 56/17 2063.870497 submajor sixth +1 octave + 40: 7/2 2168.825906 harmonic 14th + 41: 56/15 2280.557192 grave major seventh +1 octave + 42: 4/1 2400.000000 2 octaves +| +SD4 60-15 - Subharmonic division of 4: Subharmonics 60-15 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 60/59 29.097055 + 2: 30/29 58.691521 + 3: 20/19 88.800698 small undevicesimal semitone + 4: 15/14 119.442808 major diatonic semitone + 5: 12/11 150.637059 3/4-tone, undecimal neutral second + 6: 10/9 182.403712 minor whole tone + 7: 60/53 214.764169 + 8: 15/13 247.741053 tridecimal 5/4-tone + 9: 20/17 281.358304 septendecimal augmented second + 10: 6/5 315.641287 minor third + 11: 60/49 350.616902 smaller approximation to neutral third + 12: 5/4 386.313714 major third + 13: 60/47 422.762093 + 14: 30/23 459.994367 + 15: 4/3 498.044999 perfect fourth + 16: 15/11 536.950772 undecimal augmented fourth + 17: 60/43 576.751009 + 18: 10/7 617.487807 Euler's tritone + 19: 60/41 659.206309 + 20: 3/2 701.955001 perfect fifth + 21: 20/13 745.786052 tridecimal semi-augmented fifth + 22: 30/19 790.755699 smaller undevicesimal minor sixth + 23: 60/37 836.924676 + 24: 5/3 884.358713 major sixth, BP sixth + 25: 12/7 933.129094 septimal major sixth + 26: 30/17 983.313305 septendecimal minor seventh + 27: 20/11 1034.995772 large minor seventh + 28: 15/8 1088.268715 classic major seventh + 29: 60/31 1143.233142 + 30: 2/1 1200.000000 octave + 31: 60/29 1258.691521 + 32: 15/7 1319.442808 septimal minor ninth, BP ninth + 33: 20/9 1382.403712 small ninth + 34: 30/13 1447.741053 tridecimal 5/4-tone +1 octave + 35: 12/5 1515.641287 minor 10th + 36: 5/2 1586.313714 major 10th + 37: 60/23 1659.994367 + 38: 30/11 1736.950772 undecimal augmented fourth +1 octave + 39: 20/7 1817.487807 Euler's tritone +1 octave + 40: 3/1 1901.955001 perfect 12th + 41: 60/19 1990.755699 smaller undevicesimal minor sixth +1 octave + 42: 10/3 2084.358713 major 13th + 43: 60/17 2183.313305 septendecimal minor seventh +1 octave + 44: 15/4 2288.268715 classic major 14th + 45: 4/1 2400.000000 2 octaves +| +SD4 64-16 - Subharmonic division of 4: Subharmonics 64-16 +| + 0: 1/1 0.000000 unison, perfect prime + 1: 64/63 27.264092 septimal comma, Archytas' comma + 2: 32/31 54.964428 Greek enharmonic 1/4-tone + 3: 64/61 83.115195 + 4: 16/15 111.731285 minor diatonic semitone + 5: 64/59 140.828341 + 6: 32/29 170.422806 29th subharmonic + 7: 64/57 200.531983 + 8: 8/7 231.174094 septimal whole tone + 9: 64/55 262.368344 + 10: 32/27 294.134997 Pythagorean minor third + 11: 64/53 326.495455 + 12: 16/13 359.472338 tridecimal neutral third + 13: 64/51 393.089590 + 14: 32/25 427.372572 classic diminished fourth + 15: 64/49 462.348187 2 septatones or septatonic major third + 16: 4/3 498.044999 perfect fourth + 17: 64/47 534.493378 + 18: 32/23 571.725653 23rd subharmonic + 19: 64/45 609.776284 2nd tritone + 20: 16/11 648.682058 undecimal semi-diminished fifth + 21: 64/43 688.482294 + 22: 32/21 729.219093 wide fifth + 23: 64/41 770.937594 + 24: 8/5 813.686286 minor sixth + 25: 64/39 857.517337 39th subharmonic + 26: 32/19 902.486984 19th subharmonic + 27: 64/37 948.655961 37th subharmonic + 28: 16/9 996.089998 Pythagorean minor seventh + 29: 64/35 1044.860380 septimal neutral seventh + 30: 32/17 1095.044590 17th subharmonic + 31: 64/33 1146.727057 33rd subharmonic + 32: 2/1 1200.000000 octave + 33: 64/31 1254.964428 Greek enharmonic 1/4-tone +1 octave + 34: 32/15 1311.731285 minor ninth + 35: 64/29 1370.422806 29th subharmonic +1 octave + 36: 16/7 1431.174094 septimal major ninth + 37: 64/27 1494.134997 Pythagorean minor third +1 octave + 38: 32/13 1559.472338 tridecimal neutral third +1 octave + 39: 64/25 1627.372572 classic diminished 11th + 40: 8/3 1698.044999 perfect 11th + 41: 64/23 1771.725653 23rd subharmonic +1 octave + 42: 32/11 1848.682058 undecimal semi-diminished fifth +1 octave + 43: 64/21 1929.219093 wide fifth +1 octave + 44: 16/5 2013.686286 minor 13th + 45: 64/19 2102.486984 19th subharmonic +1 octave + 46: 32/9 2196.089998 Pythagorean minor 14th + 47: 64/17 2295.044590 17th subharmonic +1 octave + 48: 4/1 2400.000000 2 octaves +| +Wendy Carlos - Alpha (78.0 Cents) +| + 0: 1/1 0.000000 unison, perfect prime + 1: 78.000 cents 78.000000 + 2: 156.000 cents 156.000000 + 3: 234.000 cents 234.000000 + 4: 312.000 cents 312.000000 + 5: 390.000 cents 390.000000 + 6: 468.000 cents 468.000000 + 7: 546.000 cents 546.000000 + 8: 624.000 cents 624.000000 + 9: 702.000 cents 702.000000 + 10: 780.000 cents 780.000000 + 11: 858.000 cents 858.000000 + 12: 936.000 cents 936.000000 + 13: 1014.000 cents 1014.000000 + 14: 1092.000 cents 1092.000000 + 15: 1170.000 cents 1170.000000 + 16: 1248.000 cents 1248.000000 +| +Wendy Carlos - Beta (63.8 Cents) +| + 0: 1/1 0.000000 unison, perfect prime + 1: 63.800 cents 63.800000 + 2: 127.600 cents 127.600000 + 3: 191.400 cents 191.400000 + 4: 255.200 cents 255.200000 + 5: 319.000 cents 319.000000 + 6: 382.800 cents 382.800000 + 7: 446.600 cents 446.600000 + 8: 510.400 cents 510.400000 + 9: 574.200 cents 574.200000 + 10: 638.000 cents 638.000000 + 11: 701.800 cents 701.800000 + 12: 765.600 cents 765.600000 + 13: 829.400 cents 829.400000 + 14: 893.200 cents 893.200000 + 15: 957.000 cents 957.000000 + 16: 1020.800 cents 1020.800000 + 17: 1084.600 cents 1084.600000 + 18: 1148.400 cents 1148.400000 + 19: 1212.200 cents 1212.200000 +| +Wendy Carlos - Gamma (35.1 Cents) +| + 0: 1/1 0.000000 unison, perfect prime + 1: 35.100 cents 35.100000 + 2: 70.200 cents 70.200000 + 3: 105.300 cents 105.300000 + 4: 140.400 cents 140.400000 + 5: 175.500 cents 175.500000 + 6: 210.600 cents 210.600000 + 7: 245.700 cents 245.700000 + 8: 280.800 cents 280.800000 + 9: 315.900 cents 315.900000 + 10: 351.000 cents 351.000000 + 11: 386.100 cents 386.100000 + 12: 421.200 cents 421.200000 + 13: 456.300 cents 456.300000 + 14: 491.400 cents 491.400000 + 15: 526.500 cents 526.500000 + 16: 561.600 cents 561.600000 + 17: 596.700 cents 596.700000 + 18: 631.800 cents 631.800000 + 19: 666.900 cents 666.900000 + 20: 702.000 cents 702.000000 + 21: 737.100 cents 737.100000 + 22: 772.200 cents 772.200000 + 23: 807.300 cents 807.300000 + 24: 842.400 cents 842.400000 + 25: 877.500 cents 877.500000 + 26: 912.600 cents 912.600000 + 27: 947.700 cents 947.700000 + 28: 982.800 cents 982.800000 + 29: 1017.900 cents 1017.900000 + 30: 1053.000 cents 1053.000000 + 31: 1088.100 cents 1088.100000 + 32: 1123.200 cents 1123.200000 + 33: 1158.300 cents 1158.300000 + 34: 1193.400 cents 1193.400000 + 35: 1228.500 cents 1228.500000 diff --git a/src/common/Tunings.cpp b/src/common/Tunings.cpp index 0ceedd11754..1c3fbdf4f79 100644 --- a/src/common/Tunings.cpp +++ b/src/common/Tunings.cpp @@ -331,11 +331,22 @@ R"HTML( htmls << "" << t.cents << "" << t.floatValue << "\n"; }; - htmls << R"HTML( + htmls << R"HTML(

+)HTML"; + + if( ! storage->isStandardMapping ) + { + htmls << "\n

Tuning was generated with altered keyboard mapping. See full mapping below. Scale position 0 maps to key " + << storage->currentMapping.middleNote << "; Midi note " << storage->currentMapping.tuningConstantNote << " is set to frequency " + << storage->currentMapping.tuningFrequency << "hz. " << storage->scaleConstantNote() << "
\n"; + } + + htmls << R"HTML( +

@@ -351,6 +362,10 @@ R"HTML( htmls << "\n"; auto tn = i - storage->scaleConstantNote(); + if( ! storage->isStandardMapping ) + { + tn = i - storage->currentMapping.middleNote; + } while( tn < 0 ) tn += count; auto p = storage->note_to_pitch(i); @@ -366,10 +381,24 @@ R"HTML(
- Raw File: + Tuning Raw File: )HTML" << name << "
\n
\n" << rawText << R"HTML(
+)HTML"; + + if( ! storage->isStandardMapping ) + { + htmls << R"HTML( +
+
+ Raw File: + )HTML" << name << "
\n
\n" << storage->currentMapping.rawText << R"HTML(
+
+
+)HTML"; + } + htmls << R"HTML( )HTML"; diff --git a/src/common/gui/CStatusPanel.cpp b/src/common/gui/CStatusPanel.cpp index 88effe8cb63..9071ba9cc51 100644 --- a/src/common/gui/CStatusPanel.cpp +++ b/src/common/gui/CStatusPanel.cpp @@ -115,6 +115,11 @@ bool CStatusPanel::onDrop(VSTGUI::DragEventData data ) if( editor ) editor->tuningFileDropped(fName); } + if ((_stricmp(fPath.extension().generic_string().c_str(), ".kbm") == 0)) + { + if( editor ) + editor->mappingFileDropped(fName); + } } } diff --git a/src/common/gui/SurgeGUIEditor.cpp b/src/common/gui/SurgeGUIEditor.cpp index 50dc8b87208..77eaba00dcc 100644 --- a/src/common/gui/SurgeGUIEditor.cpp +++ b/src/common/gui/SurgeGUIEditor.cpp @@ -3072,6 +3072,11 @@ void SurgeGUIEditor::tuningFileDropped(std::string fn) this->synth->storage.retuneToScale(Surge::Storage::readSCLFile(fn)); } +void SurgeGUIEditor::mappingFileDropped(std::string fn) +{ + this->synth->storage.remapToKeyboard(Surge::Storage::readKBMFile(fn)); +} + bool SurgeGUIEditor::doesZoomFitToScreen(int zf, int &correctedZf) { CRect screenDim = Surge::GUI::getScreenDimensions(getFrame()); @@ -3470,6 +3475,9 @@ VSTGUI::COptionMenu *SurgeGUIEditor::makeTuningMenu(VSTGUI::CRect &menuRect) kst->setEnabled(! this->synth->storage.currentMapping.isStandardMapping); tid++; + tuningSubMenu->addSeparator(); + tid++; + addCallbackMenu(tuningSubMenu, "Apply .scl file tuning", [this]() { @@ -3530,27 +3538,29 @@ VSTGUI::COptionMenu *SurgeGUIEditor::makeTuningMenu(VSTGUI::CRect &menuRect) ); tid++; + tuningSubMenu->addSeparator(); + tid++; auto *sct = addCallbackMenu(tuningSubMenu, "Show current tuning", [this]() { - // Surge::UserInteractions::promptOKCancel( "Surge tuning is NONstandard tuning", "Tuning Info" ); Surge::UserInteractions::showHTML( this->synth->storage.currentScale.toHtml(&(this->synth->storage)) ); } ); sct->setEnabled(! this->synth->storage.isStandardTuning ); - /* - tuningSubMenu->addSeparator(tid++); - - addCallbackMenu(tuningSubMenu, "Apply .kbm file mapping", + auto *tfl = addCallbackMenu(tuningSubMenu, "Factory Tuning Library", [this]() { - Surge::UserInteractions::promptError("KBM File Mappings are not yet supported in Surge", - "Unsupported", - this); + Surge::UserInteractions::openFolderInFileBrowser(this->synth->storage.datapath + +#if WINDOWS + "\\" +#else + "/" +#endif + + "tuning-library"); } ); - */ + return tuningSubMenu; } diff --git a/src/common/gui/SurgeGUIEditor.h b/src/common/gui/SurgeGUIEditor.h index d28ff1c2a06..d0a4ce3ddd2 100644 --- a/src/common/gui/SurgeGUIEditor.h +++ b/src/common/gui/SurgeGUIEditor.h @@ -186,6 +186,7 @@ class SurgeGUIEditor : public EditorType, public VSTGUI::IControlListener, publi void toggleTuning(); void showTuningMenu(VSTGUI::CPoint &where); void tuningFileDropped(std::string fn); + void mappingFileDropped(std::string fn); std::string tuningCacheForToggle = ""; private:
Midi NoteScale PositionFrequency
" << i << " (" << notenames[i % 12 ] << octave << ")