diff --git a/modules/juce_audio_basics/midi/juce_MidiMessageSequence.cpp b/modules/juce_audio_basics/midi/juce_MidiMessageSequence.cpp
index dcac30e779..7b2ab85cab 100644
--- a/modules/juce_audio_basics/midi/juce_MidiMessageSequence.cpp
+++ b/modules/juce_audio_basics/midi/juce_MidiMessageSequence.cpp
@@ -156,23 +156,34 @@ struct MidiMessageSequenceSorter
     }
 };
 
+void MidiMessageSequence::addSequence (const MidiMessageSequence& other, double timeAdjustment)
+{
+    for (int i = 0; i < other.list.size(); ++i)
+    {
+        const MidiMessage& m = other.list.getUnchecked(i)->message;
+
+        MidiEventHolder* const newOne = new MidiEventHolder (m);
+        newOne->message.addToTimeStamp (timeAdjustment);
+        list.add (newOne);
+    }
+
+    sort();
+}
+
 void MidiMessageSequence::addSequence (const MidiMessageSequence& other,
                                        double timeAdjustment,
                                        double firstAllowableTime,
                                        double endOfAllowableDestTimes)
 {
-    firstAllowableTime -= timeAdjustment;
-    endOfAllowableDestTimes -= timeAdjustment;
-
     for (int i = 0; i < other.list.size(); ++i)
     {
         const MidiMessage& m = other.list.getUnchecked(i)->message;
-        const double t = m.getTimeStamp();
+        const double t = m.getTimeStamp() + timeAdjustment;
 
         if (t >= firstAllowableTime && t < endOfAllowableDestTimes)
         {
             MidiEventHolder* const newOne = new MidiEventHolder (m);
-            newOne->message.setTimeStamp (timeAdjustment + t);
+            newOne->message.setTimeStamp (t);
 
             list.add (newOne);
         }
diff --git a/modules/juce_audio_basics/midi/juce_MidiMessageSequence.h b/modules/juce_audio_basics/midi/juce_MidiMessageSequence.h
index 5d2f977a5b..2f55e2dab0 100644
--- a/modules/juce_audio_basics/midi/juce_MidiMessageSequence.h
+++ b/modules/juce_audio_basics/midi/juce_MidiMessageSequence.h
@@ -160,7 +160,6 @@ public:
     void deleteEvent (int index, bool deleteMatchingNoteUp);
 
     /** Merges another sequence into this one.
-
         Remember to call updateMatchedPairs() after using this method.
 
         @param other                    the sequence to add from
@@ -178,6 +177,16 @@ public:
                       double firstAllowableDestTime,
                       double endOfAllowableDestTimes);
 
+    /** Merges another sequence into this one.
+        Remember to call updateMatchedPairs() after using this method.
+
+        @param other                    the sequence to add from
+        @param timeAdjustmentDelta      an amount to add to the timestamps of the midi events
+                                        as they are read from the other sequence
+    */
+    void addSequence (const MidiMessageSequence& other,
+                      double timeAdjustmentDelta);
+
     //==============================================================================
     /** Makes sure all the note-on and note-off pairs are up-to-date.