xen10-chalmers-tritriadic-21-1-23
Tritriadic scale built from 21:1:23
Properties
| Notes | 7 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 23-limit |
| Construction | tritriadic(Fraction(32, 21), 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 |
| 32/23 | 572 | 14112/12167 | 257 |
| 32/21 | 729 | 23/21 | 157 |
| 736/441 | 887 | 23/21 | 157 |
| 42/23 | 1043 | 9261/8464 | 156 |
| 2 | 1200 | 23/21 | 157 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen12-chalmers-tritriadic-dm-1-21-23 | 7 | 3 | 0.0 |
| xen12-chalmers-tritriadic-dm-11-5-3 | 7 | 1 | 7.5 |
| xen09-chalmers-tritriadic-10-11-12 | 7 | 2 | 7.5 |
| xen10-chalmers-tritriadic-21-15-23 | 7 | 3 | 12.5 |
| xen12-chalmers-tritriadic-dm-15-21-23 | 7 | 6 | 12.5 |
| porcupine | 7 | 5 | 22.7 |
| xen18-erlich-porcupine-07 | 7 | 1 | 24.1 |
| porchrome3 | 7 | 6 | 24.9 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| edo-23 | 23 | 2.2 |
| blackbeat15 | 15 | 9.5 |
| edo-15 | 15 | 11.7 |
| xen18-erlich-blacksmith-15 | 15 | 13.8 |
| xen18-erlich-father-08 | 8 | 23.9 |
| xen18-erlich-blackwood-15 | 15 | 13.9 |
| sqrtphi | 23 | 8.6 |
| ares12 | 12 | 19.5 |
| pork15 | 15 | 16.8 |
| ares12opt | 12 | 20.7 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-erlich-porcupine-05 | 5 | 14.4 |
Raw file
! xen10-chalmers-tritriadic-21-1-23.scl ! Tritriadic scale built from 21:1:23 7 ! 23/21 529/441 32/23 32/21 736/441 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