xen15-gilson-didymus-diatonic
Didymus' Diatonic
Properties
| Notes | 7 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 5-limit |
| Source | Xenharmonikon 15 |
| Reference | Bruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.131 |
| Author | Bruce R. Gilson |
| Article | 47 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 16/15 | 112 | 16/15 | 112 |
| 32/27 | 294 | 10/9 | 182 |
| 4/3 | 498 | 9/8 | 204 |
| 3/2 | 702 | 9/8 | 204 |
| 8/5 | 814 | 16/15 | 112 |
| 16/9 | 996 | 10/9 | 182 |
| 2/1 | 1200 | 9/8 | 204 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen09-wilson-marwa-04-14 | 7 | 0 | 0.0 |
| xen10-wilson-purvi-05-06 | 7 | 0 | 0.0 |
| xen09-wilson-marwa-04-07 | 7 | 1 | 0.0 |
| synmav2 | 7 | 4 | 0.0 |
| xen09-wilson-marwa-03-05 | 7 | 6 | 0.0 |
| xen09-wilson-marwa-04-02 | 7 | 5 | 0.0 |
| xen09-wilson-marwa-04-11 | 7 | 4 | 0.0 |
| xen09-wilson-marwa-06-05 | 7 | 3 | 0.0 |
| CD15_05_rast_Algeria | 7 | 1 | 11.2 |
| CD16_13_Morocco | 7 | 5 | 13.3 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| Archytas3genera | 11 | 0.0 |
| xen18-schulter-pythagorean | 12 | 2.0 |
| schisdia4 | 12 | 2.0 |
| mistyschism1 | 12 | 2.0 |
| mohaj-bala_213 | 12 | 2.7 |
| xen18-erlich-helmholtz-17 | 17 | 0.6 |
| ForCarl2 | 12 | 6.8 |
| xen07-chalmers-diaphonic-a | 19 | 0.0 |
| pyth_17 | 17 | 2.0 |
| xen07-walker-fathomless | 21 | 0.0 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen03-wilson-positive-05 | 5 | 0.0 |
| CD14_03_Algeria | 6 | 16.2 |
| CD14_04_Algeria | 6 | 19.7 |
| xen03-wilson-negative-05 | 5 | 21.5 |
| CD09_14_Egypt | 6 | 22.7 |
| CD17_14_Tunisia | 6 | 23.1 |
| CD11_04_bayati_Iraq | 6 | 24.8 |
Raw file
! xen15-gilson-didymus-diatonic.scl ! Didymus' Diatonic 7 ! 16/15 ! 93 moc 32/27 ! 245 moc 4/3 ! 415 moc 3/2 ! 585 moc 8/5 ! 678 moc 16/9 ! 830 moc 2/1 ! 1000 moc ! ! Bruce R. Gilson ! A Numerical Theory of Scale Invention ! Xenharmonikon 15 (1993), p.131 ! ! [info] ! source = Xenharmonikon ! whole_number = 15