xen15-gilson-archytas-diatonic
Archytas' Diatonic (or Ptolemy's Diatonic Tonaion)
Properties
| Notes | 7 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 7-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 (¢) |
|---|---|---|---|
| 28/27 | 63 | 28/27 | 63 |
| 32/27 | 294 | 8/7 | 231 |
| 4/3 | 498 | 9/8 | 204 |
| 3/2 | 702 | 9/8 | 204 |
| 14/9 | 765 | 28/27 | 63 |
| 16/9 | 996 | 8/7 | 231 |
| 2/1 | 1200 | 9/8 | 204 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen09-wilson-marwa-07-14 | 7 | 0 | 0.0 |
| xen10-wilson-purvi-04-06 | 7 | 0 | 0.0 |
| xen11-chalmers-tetrachordal-04-01 | 7 | 0 | 0.0 |
| xen09-wilson-marwa-07-02 | 7 | 5 | 0.0 |
| xen09-wilson-marwa-07-11 | 7 | 4 | 0.0 |
| xen09-wilson-marwa-07-07 | 7 | 1 | 0.0 |
| xen09-wilson-marwa-08-05 | 7 | 3 | 0.0 |
| ragaldoj | 7 | 1 | 4.9 |
| ragaldor | 7 | 1 | 6.4 |
| xen15-chalmers-triadic-reversed-diamond-33-28 | 7 | 1 | 9.7 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| Archytas3genera | 11 | 0.0 |
| met24c-cs12-archytan-maqam_cup | 12 | 7.3 |
| MersenneStar | 12 | 7.7 |
| jot17 | 17 | 4.9 |
| tsaharuk24 | 24 | 0.0 |
| garibaldi24 | 24 | 1.0 |
| zarlin16 | 16 | 7.7 |
| chris_tuning_96501_96501 | 12 | 12.2 |
| zarte84n | 12 | 13.2 |
| west12 | 12 | 13.2 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen03-wilson-positive-05 | 5 | 0.0 |
| xen18-schulter-harrison | 5 | 0.0 |
| xen18-schulter-harrison-17-wt | 5 | 6.2 |
| Indonesia_Slendro_Saih_Gender_Wayang | 5 | 9.0 |
| xen18-schulter-pelog-like | 5 | 15.8 |
| ForJustin-pentatonic001 | 5 | 17.6 |
| CD12_11_Iraq | 6 | 20.2 |
| xen03-wilson-negative-05 | 5 | 21.5 |
Raw file
! xen15-gilson-archytas-diatonic.scl ! Archytas' Diatonic (or Ptolemy's Diatonic Tonaion) 7 ! 28/27 ! 52 moc 32/27 ! 245 moc 4/3 ! 415 moc 3/2 ! 585 moc 14/9 ! 637 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