diff --git a/test/src/unittests/tonal/test_audio2midi.py b/test/src/unittests/tonal/test_audio2midi.py
index 748f51753..ad3f4566d 100644
--- a/test/src/unittests/tonal/test_audio2midi.py
+++ b/test/src/unittests/tonal/test_audio2midi.py
@@ -59,26 +59,44 @@ def assessNoteList(
         n_expected_notes = len(expected_notes)
 
         # estimate the onset error for each note and estimate the mean
-        onset_mse = mean(
+        local_onset_mses = array(
             [square(note[1] - estimated[int(note[0])][0]) for note in expected_notes]
         )
+        global_onset_mse = mean(local_onset_mses)
 
         # estimate the onset error for each note and estimate the mean
-        offset_mse = mean(
+        local_offset_mses = array(
             [square(note[2] - estimated[int(note[0])][1]) for note in expected_notes]
         )
+        global_offset_mse = mean(local_offset_mses)
 
         # estimate the midi note error for each note and estimate the mean
-        midi_note_mse = mean(
+        local_midi_note_mses = array(
             [square(note[-1] - estimated[int(note[0])][-1]) for note in expected_notes]
         )
+        midi_note_mse = mean(local_midi_note_mses)
 
-        # assert outputs
+        # assert global outputs
         self.assertAlmostEqual(n_detected_notes, n_expected_notes, n_notes_tolerance)
-        self.assertAlmostEqual(onset_mse, 0, onset_tolerance)
-        self.assertAlmostEqual(offset_mse, 0, offset_tolerance)
+        self.assertAlmostEqual(global_onset_mse, 0, onset_tolerance)
+        self.assertAlmostEqual(global_offset_mse, 0, offset_tolerance)
         self.assertAlmostEqual(midi_note_mse, midi_note_mse, midi_note_tolerance)
 
+        # assert local outputs
+        message = "Some onset is larger than onset tolerance"
+        onsets_condition = all([mse < onset_tolerance for mse in local_onset_mses])
+        self.assertTrue(onsets_condition, message)
+
+        message = "Some offset is larger than offset tolerance"
+        offsets_condition = all([mse < offset_tolerance for mse in local_offset_mses])
+        self.assertTrue(offsets_condition, message)
+
+        message = "Some midi note is larger than midi note tolerance"
+        midi_note_condition = all(
+            [mse <= midi_note_tolerance for mse in local_midi_note_mses]
+        )
+        self.assertTrue(midi_note_condition, message)
+
     def testARealCaseWithEMajorScale(self):
         frame_size = 8192
         sample_rate = 48000