diff --git a/osu.Game.Tests/Gameplay/TestSceneStoryboardSamples.cs b/osu.Game.Tests/Gameplay/TestSceneStoryboardSamples.cs
index 650ae68ffc..10a1a13ba0 100644
--- a/osu.Game.Tests/Gameplay/TestSceneStoryboardSamples.cs
+++ b/osu.Game.Tests/Gameplay/TestSceneStoryboardSamples.cs
@@ -13,6 +13,7 @@ using osu.Framework.Graphics.Audio;
 using osu.Framework.Graphics.Textures;
 using osu.Framework.IO.Stores;
 using osu.Framework.Testing;
+using osu.Framework.Utils;
 using osu.Game.Audio;
 using osu.Game.IO;
 using osu.Game.Rulesets;
@@ -90,6 +91,7 @@ namespace osu.Game.Tests.Gameplay
         public void TestSamplePlaybackWithRateMods(Type expectedMod, double expectedRate)
         {
             GameplayClockContainer gameplayContainer = null;
+            StoryboardSampleInfo sampleInfo = null;
             TestDrawableStoryboardSample sample = null;
 
             Mod testedMod = Activator.CreateInstance(expectedMod) as Mod;
@@ -117,7 +119,7 @@ namespace osu.Game.Tests.Gameplay
                     Child = beatmapSkinSourceContainer
                 });
 
-                beatmapSkinSourceContainer.Add(sample = new TestDrawableStoryboardSample(new StoryboardSampleInfo("test-sample", 1, 1))
+                beatmapSkinSourceContainer.Add(sample = new TestDrawableStoryboardSample(sampleInfo = new StoryboardSampleInfo("test-sample", 1, 1))
                 {
                     Clock = gameplayContainer.GameplayClock
                 });
@@ -125,7 +127,10 @@ namespace osu.Game.Tests.Gameplay
 
             AddStep("start", () => gameplayContainer.Start());
 
-            AddAssert("sample playback rate matches mod rates", () => sample.ChildrenOfType<DrawableSample>().First().AggregateFrequency.Value == expectedRate);
+            AddAssert("sample playback rate matches mod rates", () =>
+                testedMod != null && Precision.AlmostEquals(
+                    sample.ChildrenOfType<DrawableSample>().First().AggregateFrequency.Value,
+                    ((IApplicableToRate)testedMod).ApplyToRate(sampleInfo.StartTime)));
         }
 
         private class TestSkin : LegacySkin
diff --git a/osu.Game/Rulesets/Mods/ModWindDown.cs b/osu.Game/Rulesets/Mods/ModWindDown.cs
index f9e6854dd4..9bd5b5eefd 100644
--- a/osu.Game/Rulesets/Mods/ModWindDown.cs
+++ b/osu.Game/Rulesets/Mods/ModWindDown.cs
@@ -49,10 +49,10 @@ namespace osu.Game.Rulesets.Mods
         public ModWindDown()
         {
             InitialRate.BindValueChanged(val =>
-                FinalRate.Value = Math.Min(FinalRate.Value, val.NewValue - 0.01));
+                FinalRate.Value = Math.Min(FinalRate.Value, val.NewValue - FinalRate.Precision));
 
             FinalRate.BindValueChanged(val =>
-                InitialRate.Value = Math.Max(InitialRate.Value, val.NewValue + 0.01));
+                InitialRate.Value = Math.Max(InitialRate.Value, val.NewValue + InitialRate.Precision));
         }
     }
 }
diff --git a/osu.Game/Rulesets/Mods/ModWindUp.cs b/osu.Game/Rulesets/Mods/ModWindUp.cs
index 0d57bbb52d..39d3c9c5d5 100644
--- a/osu.Game/Rulesets/Mods/ModWindUp.cs
+++ b/osu.Game/Rulesets/Mods/ModWindUp.cs
@@ -49,10 +49,10 @@ namespace osu.Game.Rulesets.Mods
         public ModWindUp()
         {
             InitialRate.BindValueChanged(val =>
-                FinalRate.Value = Math.Max(FinalRate.Value, val.NewValue + 0.01));
+                FinalRate.Value = Math.Max(FinalRate.Value, val.NewValue + FinalRate.Precision));
 
             FinalRate.BindValueChanged(val =>
-                InitialRate.Value = Math.Min(InitialRate.Value, val.NewValue - 0.01));
+                InitialRate.Value = Math.Min(InitialRate.Value, val.NewValue - InitialRate.Precision));
         }
     }
 }