diff --git a/modules/juce_audio_devices/native/juce_mac_CoreAudio.cpp b/modules/juce_audio_devices/native/juce_mac_CoreAudio.cpp
index 968ee666d7..06c83b970d 100644
--- a/modules/juce_audio_devices/native/juce_mac_CoreAudio.cpp
+++ b/modules/juce_audio_devices/native/juce_mac_CoreAudio.cpp
@@ -214,7 +214,7 @@ public:
 
             if (OK (AudioObjectGetPropertyData (deviceID, &pa, 0, 0, &size, ranges)))
             {
-                bufferSizes.add ((int) ranges[0].mMinimum);
+                bufferSizes.add ((int) (ranges[0].mMinimum + 15) & ~15);
 
                 for (int i = 32; i < 2048; i += 32)
                 {
diff --git a/modules/juce_audio_devices/native/juce_win32_ASIO.cpp b/modules/juce_audio_devices/native/juce_win32_ASIO.cpp
index eda949c533..230a69a88d 100644
--- a/modules/juce_audio_devices/native/juce_win32_ASIO.cpp
+++ b/modules/juce_audio_devices/native/juce_win32_ASIO.cpp
@@ -1056,9 +1056,9 @@ private:
 
                         if (granularity >= 0)
                         {
-                            granularity = jmax (1, (int) granularity);
+                            granularity = jmax (16, (int) granularity);
 
-                            for (int i = jmax ((int) minSize, (int) granularity); i < jmin (6400, (int) maxSize); i += granularity)
+                            for (int i = jmax ((int) (minSize + 15) & ~15, (int) granularity); i < jmin (6400, (int) maxSize); i += granularity)
                                 bufferSizes.addIfNotAlreadyThere (granularity * (i / granularity));
                         }
                         else if (granularity < 0)
diff --git a/modules/juce_gui_basics/native/juce_mac_MainMenu.mm b/modules/juce_gui_basics/native/juce_mac_MainMenu.mm
index 2fb8824ff5..ad92d22b5f 100644
--- a/modules/juce_gui_basics/native/juce_mac_MainMenu.mm
+++ b/modules/juce_gui_basics/native/juce_mac_MainMenu.mm
@@ -73,6 +73,7 @@ public:
         [item setTag: tag];
 
         NSMenu* sub = createMenu (child, name, menuId, tag);
+        appendRecentFilesIfNeeded (name, sub);
 
         [parent setSubmenu: sub forItem: item];
         [sub setAutoenablesItems: false];
@@ -112,6 +113,8 @@ public:
         for (PopupMenu::MenuItemIterator iter (menuToCopy); iter.next();)
             addMenuItem (iter, menu, menuId, tag);
 
+        appendRecentFilesIfNeeded (name, menu);
+
         [menu setAutoenablesItems: false];
         [menu update];
         [parentItem setTag: tag];
@@ -269,6 +272,10 @@ public:
     NSObject* callback;
 
 private:
+    static void appendRecentFilesIfNeeded (const String& menuName, NSMenu* menu)
+    {
+    }
+
     //==============================================================================
     NSMenu* createMenu (const PopupMenu menu,
                         const String& menuName,
@@ -288,6 +295,7 @@ private:
         for (PopupMenu::MenuItemIterator iter (menu); iter.next();)
             addMenuItem (iter, m, topLevelMenuId, topLevelIndex);
 
+        appendRecentFilesIfNeeded (menuName, m);
         [m update];
         return m;
     }