diff --git a/src/engine/controls/bpmcontrol.cpp b/src/engine/controls/bpmcontrol.cpp
index 92a53954d3b..67f49c758ac 100644
--- a/src/engine/controls/bpmcontrol.cpp
+++ b/src/engine/controls/bpmcontrol.cpp
@@ -10,6 +10,7 @@
 #include "engine/enginebuffer.h"
 #include "engine/enginemaster.h"
 #include "moc_bpmcontrol.cpp"
+#include "track/beatutils.h"
 #include "track/track.h"
 #include "util/assert.h"
 #include "util/duration.h"
@@ -28,12 +29,13 @@ constexpr double kBpmRangeSmallStep = 0.1;
 
 constexpr double kBpmAdjustMin = kBpmRangeMin;
 constexpr double kBpmAdjustStep = 0.01;
+constexpr double kBpmTabRounding = 1 / 12.0;
 
 // Maximum allowed interval between beats (calculated from kBpmTapMin).
 constexpr double kBpmTapMin = 30.0;
 const mixxx::Duration kBpmTapMaxInterval = mixxx::Duration::fromMillis(
         static_cast<qint64>(1000.0 * (60.0 / kBpmTapMin)));
-constexpr int kBpmTapFilterLength = 5;
+constexpr int kBpmTapFilterLength = 80;
 
 // The local_bpm is calculated forward and backward this number of beats, so
 // the actual number of beats is this x2.
@@ -164,10 +166,7 @@ double BpmControl::getBpm() const {
     return m_pEngineBpm->get();
 }
 
-void BpmControl::slotAdjustBeatsFaster(double v) {
-    if (v <= 0) {
-        return;
-    }
+void BpmControl::adjustBeatsBpm(double deltaBpm) {
     const TrackPointer pTrack = getEngineBuffer()->getLoadedTrack();
     if (!pTrack) {
         return;
@@ -175,25 +174,25 @@ void BpmControl::slotAdjustBeatsFaster(double v) {
     const mixxx::BeatsPointer pBeats = pTrack->getBeats();
     if (pBeats && (pBeats->getCapabilities() & mixxx::Beats::BEATSCAP_SETBPM)) {
         double bpm = pBeats->getBpm();
-        double adjustedBpm = bpm + kBpmAdjustStep;
+        double centerBpm = math_max(kBpmAdjustMin, bpm + deltaBpm);
+        double adjustedBpm = BeatUtils::roundBpmWithinRange(
+                centerBpm - kBpmAdjustStep / 2, centerBpm, centerBpm + kBpmAdjustStep / 2);
         pTrack->trySetBeats(pBeats->setBpm(adjustedBpm));
     }
 }
 
-void BpmControl::slotAdjustBeatsSlower(double v) {
+void BpmControl::slotAdjustBeatsFaster(double v) {
     if (v <= 0) {
         return;
     }
-    const TrackPointer pTrack = getEngineBuffer()->getLoadedTrack();
-    if (!pTrack) {
+    adjustBeatsBpm(kBpmAdjustStep);
+}
+
+void BpmControl::slotAdjustBeatsSlower(double v) {
+    if (v <= 0) {
         return;
     }
-    const mixxx::BeatsPointer pBeats = pTrack->getBeats();
-    if (pBeats && (pBeats->getCapabilities() & mixxx::Beats::BEATSCAP_SETBPM)) {
-        double bpm = pBeats->getBpm();
-        double adjustedBpm = math_max(kBpmAdjustMin, bpm - kBpmAdjustStep);
-        pTrack->trySetBeats(pBeats->setBpm(adjustedBpm));
-    }
+    adjustBeatsBpm(-kBpmAdjustStep);
 }
 
 void BpmControl::slotTranslateBeatsEarlier(double v) {
@@ -259,6 +258,9 @@ void BpmControl::slotTapFilter(double averageLength, int numSamples) {
     // (60 seconds per minute) * (1000 milliseconds per second) / (X millis per
     // beat) = Y beats/minute
     double averageBpm = 60.0 * 1000.0 / averageLength / rateRatio;
+    averageBpm = BeatUtils::roundBpmWithinRange(averageBpm - kBpmTabRounding,
+            averageBpm,
+            averageBpm + kBpmTabRounding);
     pTrack->trySetBeats(pBeats->setBpm(averageBpm));
 }
 
diff --git a/src/engine/controls/bpmcontrol.h b/src/engine/controls/bpmcontrol.h
index 62b2fe83673..738990b71f9 100644
--- a/src/engine/controls/bpmcontrol.h
+++ b/src/engine/controls/bpmcontrol.h
@@ -107,6 +107,7 @@ class BpmControl : public EngineControl {
     }
     bool syncTempo();
     double calcSyncAdjustment(bool userTweakingSync);
+    void adjustBeatsBpm(double deltaBpm);
 
     friend class SyncControl;
 
diff --git a/src/library/dlgtrackinfo.cpp b/src/library/dlgtrackinfo.cpp
index f73d915859e..bd6c01975b2 100644
--- a/src/library/dlgtrackinfo.cpp
+++ b/src/library/dlgtrackinfo.cpp
@@ -12,6 +12,7 @@
 #include "preferences/colorpalettesettings.h"
 #include "sources/soundsourceproxy.h"
 #include "track/beatfactory.h"
+#include "track/beatutils.h"
 #include "track/keyfactory.h"
 #include "track/keyutils.h"
 #include "track/track.h"
@@ -24,14 +25,16 @@
 #include "widget/wstarrating.h"
 
 namespace {
+
+constexpr double kBpmTabRounding = 1 / 12.0;
 constexpr int kFilterLength = 80;
 constexpr int kMinBpm = 30;
-} // namespace
-
 // Maximum allowed interval between beats (calculated from kMinBpm).
 const mixxx::Duration kMaxInterval = mixxx::Duration::fromMillis(
         static_cast<qint64>(1000.0 * (60.0 / kMinBpm)));
 
+} // namespace
+
 DlgTrackInfo::DlgTrackInfo(
         const TrackModel* trackModel)
         // No parent because otherwise it inherits the style parent's
@@ -545,7 +548,9 @@ void DlgTrackInfo::slotBpmTap(double averageLength, int numSamples) {
         return;
     }
     double averageBpm = 60.0 * 1000.0 / averageLength;
-    // average bpm needs to be truncated for this comparison:
+    averageBpm = BeatUtils::roundBpmWithinRange(averageBpm - kBpmTabRounding,
+            averageBpm,
+            averageBpm + kBpmTabRounding);
     if (averageBpm != m_dLastTapedBpm) {
         m_dLastTapedBpm = averageBpm;
         spinBpm->setValue(averageBpm);
diff --git a/src/track/beatgrid.cpp b/src/track/beatgrid.cpp
index 61b4887b8e7..5ef701eb46c 100644
--- a/src/track/beatgrid.cpp
+++ b/src/track/beatgrid.cpp
@@ -3,16 +3,22 @@
 #include <QMutexLocker>
 #include <QtDebug>
 
+#include "track/beatutils.h"
 #include "track/track.h"
 #include "util/math.h"
 
-static const int kFrameSize = 2;
+namespace {
 
 struct BeatGridData {
     double bpm;
     double firstBeat;
 };
 
+constexpr int kFrameSize = 2;
+constexpr double kBpmScaleRounding = 0.001;
+
+} // namespace
+
 namespace mixxx {
 
 class BeatGridIterator : public BeatIterator {
@@ -326,8 +332,9 @@ BeatsPointer BeatGrid::scale(enum BPMScale scale) const {
     if (bpm > getMaxBpm()) {
         return BeatsPointer(new BeatGrid(*this));
     }
-    grid.mutable_bpm()->set_bpm(bpm);
 
+    bpm = BeatUtils::roundBpmWithinRange(bpm - kBpmScaleRounding, bpm, bpm + kBpmScaleRounding);
+    grid.mutable_bpm()->set_bpm(bpm);
     double beatLength = (60.0 * m_sampleRate / bpm) * kFrameSize;
     return BeatsPointer(new BeatGrid(*this, grid, beatLength));
 }
diff --git a/src/track/beatutils.h b/src/track/beatutils.h
index 2d875966e28..5a4df420e1d 100644
--- a/src/track/beatutils.h
+++ b/src/track/beatutils.h
@@ -37,6 +37,5 @@ class BeatUtils {
 
     static QVector<double> getBeats(const QVector<ConstRegion>& constantRegions);
 
-  private:
     static double roundBpmWithinRange(double minBpm, double centerBpm, double maxBpm);
 };