15edo chord names
Various 15edo triads, 6th and 7th chords, named via ups and downs. Not meant to be exhaustive, but this list does demonstrate the basic rules for naming. The major 6th and the minor 7th are the same interval, and chords that use that interval can be named as either a 6th chord or a 7th chord. Likewise a sus2 chord is also a minor triad.
Highly implausible chords are written as a more plausible homonym, e.g. 0-6-10 = C4(^5) becomes 6-10-15 = F^m. "d" stands for dim.
| Third → | M2/m3 | ^m3 | vM3 | P4 | ^4 | |
|---|---|---|---|---|---|---|
| Triads with P5 | C2 or Cm | C^m | Cv | C4 | C^4 | |
| Other triads | v5 | C2(v5) | C^m(v5) | Cv(v5) | C4(v5) | C^4(v5) |
| ^d5 | C2(^b5) | C^d(^5) | Cv(^b5) | C4(^b5) | (^F5) | |
| d5 | Cd | C^d | Cv(b5) | (F5) | C4(^b5) | |
| ^5 | C2(^5) | (^Gv) | Cv(^5) | (F^m) | C^4(^5) | |
| Tetrads with P5 |
vM6 | C2v6 | C^mv6 | Cv6 | C4v6 | C^4v6 |
| M6 m7 |
C2,6 Cm7 |
C^m,6 C^m,7 |
Cv,6 Cv,7 |
C4,6 C4,7 |
C^4,6 C^4,7 | |
| ^m7 | Cm^7 | C^m7 | Cv^7 | C4^7 | C^4^7 | |
| vM7 | CmvM7 | C^mvM7 | CvM7 | C4vM7 | C^4vM7 | |
A comma (the actual punctuation mark ",") is spoken as "add", thus Cv,7 is "C down add-seven". The only exception is when a comma separates two numbers, as in C4,7 which is "C four-seven". A comma is written, and "add" is spoken, whenever not doing so would cause confusion with another chord.
4:5:6:7 = C vE G Bb is named C down add-7. To get a shorter name for this important chord, one could call it a harmonic7 chord, or one could borrow from color notation to call it a har7 chord, written Ch7. Names for subharmonic chords can be similarly shortened.
| Chord | Notes | Ups and downs name | Color name | ||
|---|---|---|---|---|---|
| 4:5:6:7 | C vE G Bb | C down add-7 | Cv,7 | C har7 | Ch7 |
| 4:5:6:7:9 | C vE G Bb D | C-nine down-3 | C9(v3) | C har9 | Ch9 |
| 7:6:5:4 | C Eb ^Gb Bb | C minor-7 upflat-5 | Cm7(^b5) | C sub7 | Cs7 |
| 12:10:8:7 | C ^Eb G A | C upminor add-6 | C^m,6 | C sub6 | Cs6 |
| 9:7:6:5:4 | C E G ^Bb D | C-nine up-7 | C9(^7) | C sub9 | Cs9 |