diff --git a/src/juce_appframework/gui/components/controls/juce_Slider.cpp b/src/juce_appframework/gui/components/controls/juce_Slider.cpp
index f02aa95533..c21f1e6d27 100644
--- a/src/juce_appframework/gui/components/controls/juce_Slider.cpp
+++ b/src/juce_appframework/gui/components/controls/juce_Slider.cpp
@@ -105,6 +105,9 @@ Slider::Slider (const String& name)
     maximum (10),
     interval (0),
     skewFactor (1.0),
+    velocityModeSensitivity (1.0),
+    velocityModeOffset (0.0),
+    velocityModeThreshold (1),
     rotaryStart (float_Pi * 1.2f),
     rotaryEnd (float_Pi * 2.8f),
     numDecimalPlaces (7),
@@ -221,6 +224,19 @@ void Slider::setVelocityBasedMode (const bool velBased) throw()
     isVelocityBased = velBased;
 }
 
+void Slider::setVelocityModeParameters (const double sensitivity,
+                                        const int threshold,
+                                        const double offset) throw()
+{
+    jassert (threshold >= 0);
+    jassert (sensitivity > 0);
+    jassert (offset >= 0);
+
+    velocityModeSensitivity = sensitivity;
+    velocityModeOffset = offset;
+    velocityModeThreshold = threshold;
+}
+
 void Slider::setSkewFactor (const double factor) throw()
 {
     skewFactor = factor;
@@ -1188,7 +1204,10 @@ void Slider::mouseDrag (const MouseEvent& e)
 
                 if (speed != 0)
                 {
-                    speed = 0.2 * (1.0 + sin (double_Pi * (1.5 + jmax (0.0, speed - 1.0) / maxSpeed)));
+                    speed = 0.2 * velocityModeSensitivity
+                              * (1.0 + sin (double_Pi * (1.5 + jmin (0.5, velocityModeOffset 
+                                                                            + jmax (0.0, (double) (speed - velocityModeThreshold)) 
+                                                                                / maxSpeed))));
 
                     if (mouseDiff < 0)
                         speed = -speed;
diff --git a/src/juce_appframework/gui/components/controls/juce_Slider.h b/src/juce_appframework/gui/components/controls/juce_Slider.h
index 8da7940ca6..29c0c9fa4f 100644
--- a/src/juce_appframework/gui/components/controls/juce_Slider.h
+++ b/src/juce_appframework/gui/components/controls/juce_Slider.h
@@ -122,6 +122,7 @@ public:
     */
     SliderStyle getSliderStyle() const throw()                                  { return style; }
 
+    //==============================================================================
     /** Changes the properties of a rotary slider.
 
         @param startAngleRadians        the angle (in radians, clockwise from the top) at which
@@ -137,6 +138,15 @@ public:
                               const float endAngleRadians,
                               const bool stopAtEnd);
 
+    /** Sets the distance the mouse has to move to drag the slider across
+        the full extent of its range.
+
+        This only applies when in modes like RotaryHorizontalDrag, where it's using
+        relative mouse movements to adjust the slider.
+    */
+    void setMouseDragSensitivity (const int distanceForFullScaleDrag);
+
+    //==============================================================================
     /** Changes the way the the mouse is used when dragging the slider.
 
         If true, this will turn on velocity-sensitive dragging, so that
@@ -147,6 +157,22 @@ public:
     */
     void setVelocityBasedMode (const bool isVelocityBased) throw();
 
+    /** Changes aspects of the scaling used when in velocity-sensitive mode.
+        
+        These apply when you've used setVelocityBasedMode() to turn on velocity mode,
+        or if you're holding down ctrl.
+
+        @param sensitivity      higher values than 1.0 increase the range of acceleration used
+        @param threshold        the minimum number of pixels that the mouse needs to move for it
+                                to be treated as a movement
+        @param offset           values greater than 0.0 increase the minimum speed that will be used when
+                                the threshold is reached
+    */
+    void setVelocityModeParameters (const double sensitivity = 1.0,
+                                    const int threshold = 1.0,
+                                    const double offset = 0.0) throw();
+
+    //==============================================================================
     /** Sets up a skew factor to alter the way values are distributed.
 
         You may want to use a range of values on the slider where more accuracy
@@ -173,14 +199,7 @@ public:
      */
     void setSkewFactorFromMidPoint (const double sliderValueToShowAtMidPoint) throw();
 
-    /** Sets the distance the mouse has to move to drag the slider across
-        the full extent of its range.
-
-        This only applies when in modes like RotaryHorizontalDrag, where it's using
-        relative mouse movements to adjust the slider.
-    */
-    void setMouseDragSensitivity (const int distanceForFullScaleDrag);
-
+    //==============================================================================
     /** Used by setIncDecButtonsMode().
     */
     enum IncDecButtonMode
@@ -637,6 +656,8 @@ private:
     double currentValue, valueMin, valueMax;
     double minimum, maximum, interval, doubleClickReturnValue;
     double valueWhenLastDragged, valueOnMouseDown, skewFactor, lastAngle;
+    double velocityModeSensitivity, velocityModeOffset;
+    int velocityModeThreshold;
     float rotaryStart, rotaryEnd;
     int numDecimalPlaces, mouseXWhenLastDragged, mouseYWhenLastDragged;
     int sliderRegionStart, sliderRegionSize;