Diminished seventh chord: Difference between revisions
add the third chord from the duodene; remark on the uniqueness of interval signatures in the duodene |
unlink rotations of 125:150:180:216; I don't think they're worth the verbiage to list individually |
||
| Line 34: | Line 34: | ||
In the [[5-limit]]: | In the [[5-limit]]: | ||
* [[125:150:180:216]] is the 125-odd chord produced by stacking three [[6/5]] minor thirds, leaving a [[125/108]] augmented second to close the octave. Its [[rotation|rotations]] | * [[125:150:180:216]] is the 125-odd chord produced by stacking three [[6/5]] minor thirds, leaving a [[125/108]] augmented second to close the octave. Its [[rotation|rotations]] represent chords that would be enharmonically equivalent to itself in dimipent temperament, substituting the augmented second for one of the minor thirds. | ||
* In the [[duodene]], there are three unique diminished seventh chords, each combining one [[32/27]] and two 6/5 minor thirds and leaving a [[75/64]] augmented second to close the octave. The sequence of the intervals uniquely identifies the root and [[rotation]] of the chord: | * In the [[duodene]], there are three unique diminished seventh chords, each combining one [[32/27]] and two 6/5 minor thirds and leaving a [[75/64]] augmented second to close the octave. The sequence of the intervals uniquely identifies the root and [[rotation]] of the chord: | ||