xen10-chalmers-tritriadic-21-15-23
Tritriadic scale built from 21:15:23
Properties
| Notes | 7 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 23-limit |
| Construction | tritriadic(Fraction(10, 7), Fraction(23, 21)) |
| Source | Xenharmonikon 10 |
| Reference | John H. Chalmers, Jr., Tritriadic Scales with Seven Tones, Part Two: Derived Forms and Structural Properties, Xenharmonikon 10 (1987) |
| Author | John H. Chalmers, Jr. |
| Read online | www.xenharmonikon.org |
| Article | 22 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 23/21 | 157 | 23/21 | 157 |
| 529/441 | 315 | 23/21 | 157 |
| 30/23 | 460 | 13230/12167 | 145 |
| 10/7 | 617 | 23/21 | 157 |
| 230/147 | 775 | 23/21 | 157 |
| 42/23 | 1043 | 3087/2645 | 268 |
| 2 | 1200 | 23/21 | 157 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen12-chalmers-tritriadic-dm-15-21-23 | 7 | 3 | 0.0 |
| xen12-chalmers-tritriadic-dm-1-21-23 | 7 | 0 | 10.8 |
| xen10-chalmers-tritriadic-21-1-23 | 7 | 4 | 10.8 |
| xen12-chalmers-tritriadic-dm-11-5-3 | 7 | 5 | 13.8 |
| xen09-chalmers-tritriadic-10-11-12 | 7 | 6 | 13.8 |
| porchrome3 | 7 | 3 | 24.9 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| nufip15 | 15 | 7.0 |
| valenporc15 | 15 | 7.6 |
| valentine15 | 15 | 9.6 |
| xen18-erlich-cynder-26 | 26 | 5.0 |
| xen18-erlich-hedgehog-08 | 8 | 23.9 |
| edo-08 | 8 | 25.0 |
| xen18-ayers-table-20 | 8 | 25.0 |
| cbrat31 | 31 | 4.5 |
| circle31 | 31 | 4.7 |
| xen18-erlich-cynder-31 | 31 | 5.0 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-erlich-hedgehog-06 | 6 | 23.9 |
| xen12-wilson-39-4C2-hexany-14 | 6 | 24.9 |
Raw file
! xen10-chalmers-tritriadic-21-15-23.scl ! Tritriadic scale built from 21:15:23 7 ! 23/21 529/441 30/23 10/7 230/147 42/23 2 ! ! John H. Chalmers, Jr. ! Tritriadic Scales with Seven Tones, Part Two: Derived Forms and Structural Properties ! Xenharmonikon 10 (1987) ! ! [info] ! source = Xenharmonikon ! whole_number = 10