diff -r 42f013173f48 Lib/test/test_wave.py
--- a/Lib/test/test_wave.py	Thu Oct 17 19:34:12 2013 -0700
+++ b/Lib/test/test_wave.py	Fri Oct 18 10:03:55 2013 +0300
@@ -49,9 +49,6 @@
         frames = audiotests.byteswap2(frames)
 
 
-@unittest.skipIf(sys.byteorder == 'big',
-                 '24-bit wave files are supported only on little-endian '
-                 'platforms')
 class WavePCM24Test(audiotests.AudioWriteTests,
         audiotests.AudioTestsWithSourceFile,
         unittest.TestCase):
diff -r 42f013173f48 Lib/wave.py
--- a/Lib/wave.py	Thu Oct 17 19:34:12 2013 -0700
+++ b/Lib/wave.py	Fri Oct 18 10:03:55 2013 +0300
@@ -87,6 +87,12 @@
 from chunk import Chunk
 from collections import namedtuple
 
+def _byteswap3(data):
+    ba = bytearray(data)
+    ba[::3] = data[2::3]
+    ba[2::3] = data[::3]
+    return bytes(ba)
+
 _wave_params = namedtuple('_wave_params',
                      'nchannels sampwidth framerate nframes comptype compname')
 
@@ -237,7 +243,7 @@
             self._data_seek_needed = 0
         if nframes == 0:
             return b''
-        if self._sampwidth > 1 and sys.byteorder == 'big':
+        if self._sampwidth in (2, 4) and sys.byteorder == 'big':
             # unfortunately the fromfile() method does not take
             # something that only looks like a file object, so
             # we have to reach into the innards of the chunk object
@@ -258,6 +264,8 @@
             data = data.tobytes()
         else:
             data = self._data_chunk.read(nframes * self._framesize)
+            if self._sampwidth == 3 and sys.byteorder == 'big':
+                data = _byteswap3(data)
         if self._convert and data:
             data = self._convert(data)
         self._soundpos = self._soundpos + len(data) // (self._nchannels * self._sampwidth)
@@ -439,6 +447,8 @@
             data.tofile(self._file)
             self._datawritten = self._datawritten + len(data) * self._sampwidth
         else:
+            if self._sampwidth == 3 and sys.byteorder == 'big':
+                data = _byteswap3(data)
             self._file.write(data)
             self._datawritten = self._datawritten + len(data)
         self._nframeswritten = self._nframeswritten + nframes