xen12-chalmers-tritriadic-dm-1-21-23
Tritriadic D->M scale built from 1:21:23
Properties
| Notes | 7 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 23-limit |
| Construction | tritriadic_dm(Fraction(21, 16), Fraction(23, 16)) |
| Source | Xenharmonikon 12 |
| Reference | John H. Chalmers, Jr., Tritriadic Scales with Seven Tones, Part Three, Xenharmonikon 12 (1989) |
| Author | John H. Chalmers, Jr. |
| Read online | www.xenharmonikon.org |
| Article | 79 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 23/21 | 157 | 23/21 | 157 |
| 441/368 | 313 | 9261/8464 | 156 |
| 21/16 | 471 | 23/21 | 157 |
| 23/16 | 628 | 23/21 | 157 |
| 529/336 | 786 | 23/21 | 157 |
| 42/23 | 1043 | 14112/12167 | 257 |
| 2 | 1200 | 23/21 | 157 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen10-chalmers-tritriadic-21-1-23 | 7 | 4 | 0.0 |
| xen09-chalmers-tritriadic-10-11-12 | 7 | 6 | 7.5 |
| xen12-chalmers-tritriadic-dm-11-5-3 | 7 | 5 | 7.5 |
| xen10-chalmers-tritriadic-21-15-23 | 7 | 0 | 10.8 |
| xen12-chalmers-tritriadic-dm-15-21-23 | 7 | 3 | 10.8 |
| porchrome3 | 7 | 3 | 24.9 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| valentine15 | 15 | 3.2 |
| valenporc15 | 15 | 5.3 |
| Porcupine15Lesfip | 15 | 7.2 |
| MEANTONE-KILLER | 15 | 7.2 |
| nufip15 | 15 | 9.2 |
| edo-23 | 23 | 3.2 |
| xen12-wilson-06-mandala | 14 | 10.8 |
| xen18-erlich-blackwood-15 | 15 | 10.9 |
| supermagic11 | 11 | 18.3 |
| edo-15 | 15 | 14.2 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| Ethiopia_Mus_06_1976 | 5 | 18.2 |
Raw file
! xen12-chalmers-tritriadic-dm-1-21-23.scl ! Tritriadic D->M scale built from 1:21:23 7 ! 23/21 441/368 21/16 23/16 529/336 42/23 2 ! ! John H. Chalmers, Jr. ! Tritriadic Scales with Seven Tones, Part Three ! Xenharmonikon 12 (1989) ! ! [info] ! source = Xenharmonikon ! whole_number = 12