![]() |
![]() |
![]() |
![]() |
order | origin | root set | chord type (as pcset) |
2 | 0 | 0 7 | 0 3 9 10 11 = 0: 0 3 9 10 11 = 3: 0 6 7 8 9 = 9: 0 1 2 3 6 = 10: 0 1 2 5 11 = 11: 0 1 4 10 11 |
2 | 0 | 0 7 | 0 3 4 9 10 11 = 0: 0 3 4 9 10 11 = 3: 0 1 6 7 8 9 = 4: 0 5 6 7 8 11 = 9: 0 1 2 3 6 7 = 10: 0 1 2 5 6 11 = 11: 0 1 4 5 10 11 |
2 | 0 | 0 7 | 0 3 4 5 9 10 11 = 0: 0 3 4 5 9 10 11 = 3: 0 1 2 6 7 8 9 = 4: 0 1 5 6 7 8 11 = 5: 0 4 5 6 7 10 11 = 9: 0 1 2 3 6 7 8 = 10: 0 1 2 5 6 7 11 = 11: 0 1 4 5 6 10 11 |
1 | 0 | 0 | 0 3 4 5 6 7 9 10 11 = 0: 0 3 4 5 6 7 9 10 11 = 3: 0 1 2 3 4 6 7 8 9 = 4: 0 1 2 3 5 6 7 8 11 = 5: 0 1 2 4 5 6 7 10 11 = 6: 0 1 3 4 5 6 9 10 11 = 7: 0 2 3 4 5 8 9 10 11 = 9: 0 1 2 3 6 7 8 9 10 = 10: 0 1 2 5 6 7 8 9 11 = 11: 0 1 4 5 6 7 8 10 11 |
4 | 3 | 0 3 5 10 | 0 6 7 = 0: 0 6 7 = 6: 0 1 6 = 7: 0 5 11 |
3 | 3 | 3 5 10 | 0 1 2 6 7 = 0: 0 1 2 6 7 = 1: 0 1 5 6 11 = 2: 0 4 5 10 11 = 6: 0 1 6 7 8 = 7: 0 5 6 7 11 |
2 | 3 | 3 10 | 0 6 7 8 9 = 0: 0 6 7 8 9 = 6: 0 1 2 3 6 = 7: 0 1 2 5 11 = 8: 0 1 4 10 11 = 9: 0 3 9 10 11 |
1 | 3 | 3 | 0 1 2 3 4 6 7 8 9 = 0: 0 1 2 3 4 6 7 8 9 = 1: 0 1 2 3 5 6 7 8 11 = 2: 0 1 2 4 5 6 7 10 11 = 3: 0 1 3 4 5 6 9 10 11 = 4: 0 2 3 4 5 8 9 10 11 = 6: 0 1 2 3 6 7 8 9 10 = 7: 0 1 2 5 6 7 8 9 11 = 8: 0 1 4 5 6 7 8 10 11 = 9: 0 3 4 5 6 7 9 10 11 |
2 | 4 | 4 11 | 0 1 5 7 8 11 = 0: 0 1 5 7 8 11 = 1: 0 4 6 7 10 11 = 5: 0 2 3 6 7 8 = 7: 0 1 4 5 6 10 = 8: 0 3 4 5 9 11 = 11: 0 1 2 6 8 9 |
1 | 4 | 4 | 0 1 2 3 5 6 7 8 11 = 0: 0 1 2 3 5 6 7 8 11 = 1: 0 1 2 4 5 6 7 10 11 = 2: 0 1 3 4 5 6 9 10 11 = 3: 0 2 3 4 5 8 9 10 11 = 5: 0 1 2 3 6 7 8 9 10 = 6: 0 1 2 5 6 7 8 9 11 = 7: 0 1 4 5 6 7 8 10 11 = 8: 0 3 4 5 6 7 9 10 11 = 11: 0 1 2 3 4 6 7 8 9 |
3 | 5 | 0 5 7 | 0 4 10 11 = 0: 0 4 10 11 = 4: 0 6 7 8 = 10: 0 1 2 6 = 11: 0 1 5 11 |
3 | 5 | 0 5 7 | 0 4 5 10 11 = 0: 0 4 5 10 11 = 4: 0 1 6 7 8 = 5: 0 5 6 7 11 = 10: 0 1 2 6 7 = 11: 0 1 5 6 11 |
2 | 5 | 0 5 | 0 4 6 7 10 = 0: 0 4 6 7 10 = 4: 0 2 3 6 8 = 6: 0 1 4 6 10 = 7: 0 3 5 9 11 = 10: 0 2 6 8 9 |
2 | 5 | 0 5 | 0 4 5 6 7 10 = 0: 0 4 5 6 7 10 = 4: 0 1 2 3 6 8 = 5: 0 1 2 5 7 11 = 6: 0 1 4 6 10 11 = 7: 0 3 5 9 10 11 = 10: 0 2 6 7 8 9 |
2 | 5 | 0 5 | 0 4 6 7 10 11 = 0: 0 4 6 7 10 11 = 4: 0 2 3 6 7 8 = 6: 0 1 4 5 6 10 = 7: 0 3 4 5 9 11 = 10: 0 1 2 6 8 9 = 11: 0 1 5 7 8 11 |
2 | 5 | 0 5 | 0 4 5 6 7 10 11 = 0: 0 4 5 6 7 10 11 = 4: 0 1 2 3 6 7 8 = 5: 0 1 2 5 6 7 11 = 6: 0 1 4 5 6 10 11 = 7: 0 3 4 5 9 10 11 = 10: 0 1 2 6 7 8 9 = 11: 0 1 5 6 7 8 11 |
1 | 5 | 5 | 0 1 2 4 5 6 7 10 11 = 0: 0 1 2 4 5 6 7 10 11 = 1: 0 1 3 4 5 6 9 10 11 = 2: 0 2 3 4 5 8 9 10 11 = 4: 0 1 2 3 6 7 8 9 10 = 5: 0 1 2 5 6 7 8 9 11 = 6: 0 1 4 5 6 7 8 10 11 = 7: 0 3 4 5 6 7 9 10 11 = 10: 0 1 2 3 4 6 7 8 9 = 11: 0 1 2 3 5 6 7 8 11 |
3 | 9 | 4 9 11 | 0 6 7 8 = 0: 0 6 7 8 = 6: 0 1 2 6 = 7: 0 1 5 11 = 8: 0 4 10 11 |
3 | 9 | 4 9 11 | 0 1 6 7 8 = 0: 0 1 6 7 8 = 1: 0 5 6 7 11 = 6: 0 1 2 6 7 = 7: 0 1 5 6 11 = 8: 0 4 5 10 11 |
2 | 9 | 4 9 | 0 1 2 3 6 = 0: 0 1 2 3 6 = 1: 0 1 2 5 11 = 2: 0 1 4 10 11 = 3: 0 3 9 10 11 = 6: 0 6 7 8 9 |
2 | 9 | 4 9 | 0 1 2 3 6 7 = 0: 0 1 2 3 6 7 = 1: 0 1 2 5 6 11 = 2: 0 1 4 5 10 11 = 3: 0 3 4 9 10 11 = 6: 0 1 6 7 8 9 = 7: 0 5 6 7 8 11 |
2 | 9 | 4 9 | 0 2 3 6 7 8 = 0: 0 2 3 6 7 8 = 2: 0 1 4 5 6 10 = 3: 0 3 4 5 9 11 = 6: 0 1 2 6 8 9 = 7: 0 1 5 7 8 11 = 8: 0 4 6 7 10 11 |
2 | 9 | 4 9 | 0 1 2 3 6 7 8 = 0: 0 1 2 3 6 7 8 = 1: 0 1 2 5 6 7 11 = 2: 0 1 4 5 6 10 11 = 3: 0 3 4 5 9 10 11 = 6: 0 1 2 6 7 8 9 = 7: 0 1 5 6 7 8 11 = 8: 0 4 5 6 7 10 11 |
1 | 9 | 9 | 0 1 2 3 6 7 8 9 10 = 0: 0 1 2 3 6 7 8 9 10 = 1: 0 1 2 5 6 7 8 9 11 = 2: 0 1 4 5 6 7 8 10 11 = 3: 0 3 4 5 6 7 9 10 11 = 6: 0 1 2 3 4 6 7 8 9 = 7: 0 1 2 3 5 6 7 8 11 = 8: 0 1 2 4 5 6 7 10 11 = 9: 0 1 3 4 5 6 9 10 11 = 10: 0 2 3 4 5 8 9 10 11 |
3 | 10 | 0 5 10 | 0 5 6 7 11 = 0: 0 5 6 7 11 = 5: 0 1 2 6 7 = 6: 0 1 5 6 11 = 7: 0 4 5 10 11 = 11: 0 1 6 7 8 |
2 | 10 | 5 10 | 0 1 2 5 7 11 = 0: 0 1 2 5 7 11 = 1: 0 1 4 6 10 11 = 2: 0 3 5 9 10 11 = 5: 0 2 6 7 8 9 = 7: 0 4 5 6 7 10 = 11: 0 1 2 3 6 8 |
2 | 11 | 6 11 | 0 1 4 6 10 = 0: 0 1 4 6 10 = 1: 0 3 5 9 11 = 4: 0 2 6 8 9 = 6: 0 4 6 7 10 = 10: 0 2 3 6 8 |
2 | 11 | 6 11 | 0 1 4 10 11 = 0: 0 1 4 10 11 = 1: 0 3 9 10 11 = 4: 0 6 7 8 9 = 10: 0 1 2 3 6 = 11: 0 1 2 5 11 |
2 | 11 | 6 11 | 0 1 4 5 10 11 = 0: 0 1 4 5 10 11 = 1: 0 3 4 9 10 11 = 4: 0 1 6 7 8 9 = 5: 0 5 6 7 8 11 = 10: 0 1 2 3 6 7 = 11: 0 1 2 5 6 11 |
2 | 11 | 6 11 | 0 1 4 5 6 10 11 = 0: 0 1 4 5 6 10 11 = 1: 0 3 4 5 9 10 11 = 4: 0 1 2 6 7 8 9 = 5: 0 1 5 6 7 8 11 = 6: 0 4 5 6 7 10 11 = 10: 0 1 2 3 6 7 8 = 11: 0 1 2 5 6 7 11 |
1 | 11 | 11 | 0 1 4 5 6 7 8 10 11 = 0: 0 1 4 5 6 7 8 10 11 = 1: 0 3 4 5 6 7 9 10 11 = 4: 0 1 2 3 4 6 7 8 9 = 5: 0 1 2 3 5 6 7 8 11 = 6: 0 1 2 4 5 6 7 10 11 = 7: 0 1 3 4 5 6 9 10 11 = 8: 0 2 3 4 5 8 9 10 11 = 10: 0 1 2 3 6 7 8 9 10 = 11: 0 1 2 5 6 7 8 9 11 |
order | pcset |
1 | 0 3 4 5 6 7 9 10 11 = 0: 0 3 4 5 6 7 9 10 11 = 3: 0 1 2 3 4 6 7 8 9 = 4: 0 1 2 3 5 6 7 8 11 = 5: 0 1 2 4 5 6 7 10 11 = 6: 0 1 3 4 5 6 9 10 11 = 7: 0 2 3 4 5 8 9 10 11 = 9: 0 1 2 3 6 7 8 9 10 = 10: 0 1 2 5 6 7 8 9 11 = 11: 0 1 4 5 6 7 8 10 11 |
2 | 0 1 2 3 4 5 6 7 9 10 11 = 0: 0 1 2 3 4 5 6 7 9 10 11 = 1: 0 1 2 3 4 5 6 8 9 10 11 = 2: 0 1 2 3 4 5 7 8 9 10 11 = 3: 0 1 2 3 4 6 7 8 9 10 11 = 4: 0 1 2 3 5 6 7 8 9 10 11 = 5: 0 1 2 4 5 6 7 8 9 10 11 = 6: 0 1 3 4 5 6 7 8 9 10 11 = 7: 0 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 = 10: 0 1 2 3 4 5 6 7 8 9 11 = 11: 0 1 2 3 4 5 6 7 8 10 11 |
3 | 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 |
Chord Type | Roots | |
Unison (Scale Degrees: 1) | ||
0 = root, unison, octave | | | 0 3 4 5 6 7 9 10 11 = 0: 0 3 4 5 6 7 9 10 11 = 3: 0 1 2 3 4 6 7 8 9 = 4: 0 1 2 3 5 6 7 8 11 = 5: 0 1 2 4 5 6 7 10 11 = 6: 0 1 3 4 5 6 9 10 11 = 7: 0 2 3 4 5 8 9 10 11 = 9: 0 1 2 3 6 7 8 9 10 = 10: 0 1 2 5 6 7 8 9 11 = 11: 0 1 4 5 6 7 8 10 11 |
2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) | ||
0 1 = semitone, min. 2nd, min. 9th | | | 3 4 5 6 9 10 11 = 3: 0 1 2 3 6 7 8 = 4: 0 1 2 5 6 7 11 = 5: 0 1 4 5 6 10 11 = 6: 0 3 4 5 9 10 11 = 9: 0 1 2 6 7 8 9 = 10: 0 1 5 6 7 8 11 = 11: 0 4 5 6 7 10 11 |
0 2 = maj. 2nd, dim., maj. 9th | | | 3 4 5 7 9 10 = 3: 0 1 2 4 6 7 = 4: 0 1 3 5 6 11 = 5: 0 2 4 5 10 11 = 7: 0 2 3 8 9 10 = 9: 0 1 6 7 8 10 = 10: 0 5 6 7 9 11 |
3rds / 10ths (Scale Degrees: 13) | ||
0 3 = aug. 2nd, min. 3rd, aug. 9th | | | 0 3 4 6 7 9 = 0: 0 3 4 6 7 9 = 3: 0 1 3 4 6 9 = 4: 0 2 3 5 8 11 = 6: 0 1 3 6 9 10 = 7: 0 2 5 8 9 11 = 9: 0 3 6 7 9 10 |
0 4 = maj. 3rd, maj. 10th, dim. 4th | | | 0 3 5 6 7 11 = 0: 0 3 5 6 7 11 = 3: 0 2 3 4 8 9 = 5: 0 1 2 6 7 10 = 6: 0 1 5 6 9 11 = 7: 0 4 5 8 10 11 = 11: 0 1 4 6 7 8 |
4ths / 11ths (Scale Degrees: 14) | ||
0 5 = 4th, 11th, 2 in 4ths | | | 0 4 5 6 7 10 11 = 0: 0 4 5 6 7 10 11 = 4: 0 1 2 3 6 7 8 = 5: 0 1 2 5 6 7 11 = 6: 0 1 4 5 6 10 11 = 7: 0 3 4 5 9 10 11 = 10: 0 1 2 6 7 8 9 = 11: 0 1 5 6 7 8 11 |
0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | | | 0 3 4 5 6 9 10 11 = 0: 0 3 4 5 6 9 10 11 = 3: 0 1 2 3 6 7 8 9 = 4: 0 1 2 5 6 7 8 11 = 5: 0 1 4 5 6 7 10 11 = 6: 0 3 4 5 6 9 10 11 = 9: 0 1 2 3 6 7 8 9 = 10: 0 1 2 5 6 7 8 11 = 11: 0 1 4 5 6 7 10 11 |
5ths / 12ths (Scale Degrees: 15) | ||
0 7 = 5th, 2 in 5ths | | | 0 3 4 5 9 10 11 = 0: 0 3 4 5 9 10 11 = 3: 0 1 2 6 7 8 9 = 4: 0 1 5 6 7 8 11 = 5: 0 4 5 6 7 10 11 = 9: 0 1 2 3 6 7 8 = 10: 0 1 2 5 6 7 11 = 11: 0 1 4 5 6 10 11 |
6ths / 13ths (Scale Degrees: 16) | ||
0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | | | 3 4 7 9 10 11 = 3: 0 1 4 6 7 8 = 4: 0 3 5 6 7 11 = 7: 0 2 3 4 8 9 = 9: 0 1 2 6 7 10 = 10: 0 1 5 6 9 11 = 11: 0 4 5 8 10 11 |
0 9 = maj. 6th, maj. 13th, dim. 7th | | | 0 3 6 7 9 10 = 0: 0 3 6 7 9 10 = 3: 0 3 4 6 7 9 = 6: 0 1 3 4 6 9 = 7: 0 2 3 5 8 11 = 9: 0 1 3 6 9 10 = 10: 0 2 5 8 9 11 |
7ths / 14ths (Scale Degrees: 17) | ||
0 10 = aug. 6th, min. 7th, aug. 13th | | | 0 5 6 7 9 11 = 0: 0 5 6 7 9 11 = 5: 0 1 2 4 6 7 = 6: 0 1 3 5 6 11 = 7: 0 2 4 5 10 11 = 9: 0 2 3 8 9 10 = 11: 0 1 6 7 8 10 |
0 11 = maj. 7th, maj. 14th | | | 0 4 5 6 7 10 11 = 0: 0 4 5 6 7 10 11 = 4: 0 1 2 3 6 7 8 = 5: 0 1 2 5 6 7 11 = 6: 0 1 4 5 6 10 11 = 7: 0 3 4 5 9 10 11 = 10: 0 1 2 6 7 8 9 = 11: 0 1 5 6 7 8 11 |
chromatic trichord (Scale Degrees: 122) | ||
0 1 2 = 1st 3 chromatics | | | 3 4 5 9 10 = 3: 0 1 2 6 7 = 4: 0 1 5 6 11 = 5: 0 4 5 10 11 = 9: 0 1 6 7 8 = 10: 0 5 6 7 11 |
1st 3 notes of diamorphic scale (Scale Degrees: 123) | ||
0 1 3 | | | 3 4 6 9 = 3: 0 1 3 6 = 4: 0 2 5 11 = 6: 0 3 9 10 = 9: 0 6 7 9 |
0 1 4 | | | 3 5 6 11 = 3: 0 2 3 8 = 5: 0 1 6 10 = 6: 0 5 9 11 = 11: 0 4 6 7 |
0 2 3 = min. trichord | | | 3 4 7 9 = 3: 0 1 4 6 = 4: 0 3 5 11 = 7: 0 2 8 9 = 9: 0 6 7 10 |
0 2 4 = maj. trichord | | | 3 5 7 = 3: 0 2 4 = 5: 0 2 10 = 7: 0 8 10 |
0 3 4 | | | 0 3 6 7 = 0: 0 3 6 7 = 3: 0 3 4 9 = 6: 0 1 6 9 = 7: 0 5 8 11 |
Sus2 triads (Scale Degrees: 125) | ||
0 1 7 | | | 3 4 5 9 10 11 = 3: 0 1 2 6 7 8 = 4: 0 1 5 6 7 11 = 5: 0 4 5 6 10 11 = 9: 0 1 2 6 7 8 = 10: 0 1 5 6 7 11 = 11: 0 4 5 6 10 11 |
0 2 7 = sus2, 3 in 5ths | | | 3 4 5 9 10 = 3: 0 1 2 6 7 = 4: 0 1 5 6 11 = 5: 0 4 5 10 11 = 9: 0 1 6 7 8 = 10: 0 5 6 7 11 |
Root with upper and lower neighbors (Scale Degrees: 127) | ||
0 1 11 = root & chr. neighbors | | | 4 5 6 10 11 = 4: 0 1 2 6 7 = 5: 0 1 5 6 11 = 6: 0 4 5 10 11 = 10: 0 1 6 7 8 = 11: 0 5 6 7 11 |
0 2 11 | | | 4 5 7 10 = 4: 0 1 3 6 = 5: 0 2 5 11 = 7: 0 3 9 10 = 10: 0 6 7 9 |
Scale Degrees: 134 | ||
0 3 5 | | | 0 4 6 7 = 0: 0 4 6 7 = 4: 0 2 3 8 = 6: 0 1 6 10 = 7: 0 5 9 11 |
0 4 5 | | | 0 5 6 7 11 = 0: 0 5 6 7 11 = 5: 0 1 2 6 7 = 6: 0 1 5 6 11 = 7: 0 4 5 10 11 = 11: 0 1 6 7 8 |
Triads (Scale Degrees: 135) | ||
0 3 6 = dim. | | | 0 3 4 6 9 = 0: 0 3 4 6 9 = 3: 0 1 3 6 9 = 4: 0 2 5 8 11 = 6: 0 3 6 9 10 = 9: 0 3 6 7 9 |
0 3 7 = m = minor | | | 0 3 4 9 = 0: 0 3 4 9 = 3: 0 1 6 9 = 4: 0 5 8 11 = 9: 0 3 6 7 |
0 4 6 = Mb5 | | | 0 3 5 6 11 = 0: 0 3 5 6 11 = 3: 0 2 3 8 9 = 5: 0 1 6 7 10 = 6: 0 5 6 9 11 = 11: 0 1 4 6 7 |
0 4 7 = M = major | | | 0 3 5 11 = 0: 0 3 5 11 = 3: 0 2 8 9 = 5: 0 6 7 10 = 11: 0 1 4 6 |
0 4 8 = + = augmented | | | 3 7 11 = 3: 0 4 8 = 7: 0 4 8 = 11: 0 4 8 |
6ths chords no 5th (Scale Degrees: 136) | ||
0 3 9 = m6 no 5th | | | 0 3 6 7 9 = 0: 0 3 6 7 9 = 3: 0 3 4 6 9 = 6: 0 1 3 6 9 = 7: 0 2 5 8 11 = 9: 0 3 6 9 10 |
0 4 9 = M6 no 5th | | | 0 3 6 7 = 0: 0 3 6 7 = 3: 0 3 4 9 = 6: 0 1 6 9 = 7: 0 5 8 11 |
7th chords no 5th (Scale Degrees: 137) | ||
0 3 10 = m7 no 5th | | | 0 6 7 9 = 0: 0 6 7 9 = 6: 0 1 3 6 = 7: 0 2 5 11 = 9: 0 3 9 10 |
0 3 11 = mM7 no 5th | | | 0 4 6 7 = 0: 0 4 6 7 = 4: 0 2 3 8 = 6: 0 1 6 10 = 7: 0 5 9 11 |
0 4 10 = 7 no 5th | | | 0 5 6 7 11 = 0: 0 5 6 7 11 = 5: 0 1 2 6 7 = 6: 0 1 5 6 11 = 7: 0 4 5 10 11 = 11: 0 1 6 7 8 |
0 4 11 = M7 no 5th | | | 0 5 6 7 11 = 0: 0 5 6 7 11 = 5: 0 1 2 6 7 = 6: 0 1 5 6 11 = 7: 0 4 5 10 11 = 11: 0 1 6 7 8 |
Sus4 Triads (Scale Degrees: 145) | ||
0 5 7 = sus4 | | | 0 4 5 10 11 = 0: 0 4 5 10 11 = 4: 0 1 6 7 8 = 5: 0 5 6 7 11 = 10: 0 1 2 6 7 = 11: 0 1 5 6 11 |
0 6 7 = sus#4, Viennese trichord | | | 0 3 4 5 9 10 11 = 0: 0 3 4 5 9 10 11 = 3: 0 1 2 6 7 8 9 = 4: 0 1 5 6 7 8 11 = 5: 0 4 5 6 7 10 11 = 9: 0 1 2 3 6 7 8 = 10: 0 1 2 5 6 7 11 = 11: 0 1 4 5 6 10 11 |
7sus chords no 5th (Scale Degrees: 147) | ||
0 5 10 = 3 in 4ths | | | 0 5 6 7 11 = 0: 0 5 6 7 11 = 5: 0 1 2 6 7 = 6: 0 1 5 6 11 = 7: 0 4 5 10 11 = 11: 0 1 6 7 8 |
6th chords no 3rd (Scale Degrees: 156) | ||