diff --git a/music21/chord/__init__.py b/music21/chord/__init__.py
index 3457dccda..17702aa5c 100644
--- a/music21/chord/__init__.py
+++ b/music21/chord/__init__.py
@@ -4891,6 +4891,12 @@ def commonName(self) -> str:
 
         >>> chord.Chord('C E G C-').commonName
         'enharmonic equivalent to major seventh chord'
+
+        >>> chord.Chord('C E G B--').commonName
+        'enharmonic equivalent to minor seventh chord'
+
+        >>> chord.Chord('C E G A').commonName
+        'minor seventh chord'
         '''
         if any(not p.isTwelveTone() for p in self.pitches):
             return 'microtonal chord'
@@ -4948,14 +4954,19 @@ def commonName(self) -> str:
         forteClass = self.forteClass
         # forteClassTn = self.forteClassTn
 
-        def _isSeventhWithPerfectFifthAboveRoot(c: Chord) -> bool:
+        def _isSeventhWithPerfectFifthsAboveRootAndThird(c: Chord) -> bool:
             '''
             For testing minor-minor sevenths and major-major sevenths
             '''
             if not c.isSeventh():
                 return False
             hypothetical_fifth = c.root().transpose('P5')
-            return hypothetical_fifth.name in c.pitchNames
+            if hypothetical_fifth.name not in c.pitchNames:
+                return False
+            hypothetical_seventh = c.third.transpose('P5')
+            if hypothetical_seventh.name not in c.pitchNames:
+                return False
+            return True
 
         enharmonicTests = {
             '3-11A': self.isMinorTriad,
@@ -5002,7 +5013,7 @@ def _isSeventhWithPerfectFifthAboveRoot(c: Chord) -> bool:
             # minor seventh or major seventh chords,
             # but cannot just test isSeventh, as
             # that would permit C E G A## (A## as root)
-            if _isSeventhWithPerfectFifthAboveRoot(self):
+            if _isSeventhWithPerfectFifthsAboveRootAndThird(self):
                 return ctn[0]
             else:
                 return 'enharmonic equivalent to ' + ctn[0]