Stacked chord: Difference between revisions

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Line 20: Line 20:
|-
|-
| Augmented
| Augmented
| [[25/16|25/16]]
| [[25/16]]
| 5/4 + 5/4 or M3 + M3
| 5/4 + 5/4 or M3 + M3
| 25
| 25
|-
|-
| Diminished
| Diminished
| [[25/18|25/18]]
| [[25/18]]
| 6/5 + 6/5 or m3 + m3
| 6/5 + 6/5 or m3 + m3
| 25
| 25

Revision as of 14:25, 23 January 2025

In music, a stacked chord is a set of well-defined pitches sounding together consisting of a stack of varying qualities of the same interval class. 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 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 25/18 6/5 + 6/5 or m3 + m3 25

7-limit tertiary harmonic triads

Name Divides interval Chord formula Odd limit
Septimal (super)major 3/2 9/7 + 7/6 or 7M3 + 7m3 9
Septimal (sub)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