xen09-chalmers-tritriadic-21-19-17
Tritriadic scale built from 21:19:17
Properties
| Notes | 7 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 19-limit |
| Construction | tritriadic(Fraction(38, 21), Fraction(34, 21)) |
| Source | Xenharmonikon 9 |
| Reference | John H. Chalmers, Jr., Tritriadic Scales with Seven Tones, Xenharmonikon 9 (1986) |
| Author | John H. Chalmers, Jr. |
| Read online | www.xenharmonikon.org |
| Article | 85 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 19/17 | 193 | 19/17 | 193 |
| 21/17 | 366 | 21/19 | 173 |
| 578/441 | 468 | 9826/9261 | 103 |
| 646/441 | 661 | 19/17 | 193 |
| 34/21 | 834 | 21/19 | 173 |
| 38/21 | 1027 | 19/17 | 193 |
| 2 | 1200 | 21/19 | 173 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen09-chalmers-tritriadic-17-19-21 | 7 | 2 | 0.0 |
| xen12-chalmers-tritriadic-dm-19-21-17 | 7 | 1 | 0.0 |
| xen10-chalmers-tritriadic-17-13-19 | 7 | 3 | 19.3 |
| xen12-chalmers-tritriadic-dm-13-17-19 | 7 | 6 | 19.3 |
| xen09-chalmers-tritriadic-9-13-10 | 7 | 0 | 24.3 |
| xen12-chalmers-tritriadic-dm-13-9-5 | 7 | 3 | 24.3 |
| xen09-chalmers-tritriadic-10-13-18 | 7 | 6 | 24.3 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| edo-13 | 13 | 14.8 |
| edo-20 | 20 | 12.6 |
| xen18-erlich-amity-25 | 25 | 11.1 |
| xen18-erlich-lemba-26 | 26 | 10.7 |
| O3-zalzalian12_D | 12 | 23.3 |
| edo-36 | 36 | 7.4 |
| edo-49 | 49 | 3.4 |
| xen15-gilson-generalized-pythagorean-15-8-43 | 43 | 6.0 |
| xen18-erlich-amity-32 | 32 | 11.1 |
| didymus19sync | 19 | 19.0 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-erlich-tetracot-06 | 6 | 16.4 |
| xen18-erlich-tetracot-05 | 5 | 16.4 |
| xen18-erlich-luna-05 | 5 | 20.6 |
Raw file
! xen09-chalmers-tritriadic-21-19-17.scl ! Tritriadic scale built from 21:19:17 7 ! 19/17 21/17 578/441 646/441 34/21 38/21 2 ! ! John H. Chalmers, Jr. ! Tritriadic Scales with Seven Tones ! Xenharmonikon 9 (1986) ! ! [info] ! source = Xenharmonikon ! whole_number = 9