In music, stacked chords are a set of well-defined pitches sounding together consisting of a stack of varying flavors or qualities of the same numerical interval. The most common stacked chords comprise of splitting a 3/2 or perfect fifth into two varying sizes of thirds. Stacked chords must be at least triadic as dyadic can only contain one interval.
5-limit tertiary harmonic triads
| Name
|
Divides interval
|
Chord Formula
|
Odd Limit
|
| Major
Major
|
3/2
|
5/4 + 6/5 or M3 + m3
|
5
|
| Minor
|
3/2
|
6/5 + 5/4 or m3 + M3
|
5
|
| Augmented
|
25/16
|
5/4 + 5/4 or M3 + M3
|
25
|
| Diminished
Diminished
|
25/18
|
6/5 + 6/5 or m3 + m3
|
25
|
7-limit tertiary harmonic triads
| Name
|
Divides interval
|
Chord Formula
|
Odd Limit
|
| Septimal Major
|
3/2
|
9/7 + 7/6 or 7M3 + 7m3
|
9
|
| Septimal Minor
|
3/2
|
7/6 + 9/7 or 7m3 + 7M3
|
9
|
| Marvel-Tempered Augmented
|
14/9
|
5/4 + 5/4 or M3 + M3
|
9
|
| Starling-Tempered Diminished
|
12/7
|
6/5 + 6/5 or m3 + m3
|
9
|
11-limit tertiary harmonic triads
| Name
|
Divides interval
|
Chord Formula
|
Odd Limit
|
| Neutral
|
3/2
|
11/9 + 11/9
|
11
|
| 7:9:11
|
11/7
|
9/7 + 11/9 or SM3 + N3
|
11
|