xen15-gilson-ptolemy-diatonic-malakon
Ptolemy's Diatonic Malakon
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 (¢) |
|---|---|---|---|
| 21/20 | 84 | 21/20 | 84 |
| 7/6 | 267 | 10/9 | 182 |
| 4/3 | 498 | 8/7 | 231 |
| 3/2 | 702 | 9/8 | 204 |
| 63/40 | 786 | 21/20 | 84 |
| 7/4 | 969 | 10/9 | 182 |
| 2/1 | 1200 | 8/7 | 231 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| Ghana_Sauta | 7 | 6 | 13.1 |
| zest24_Suz-i_Dilara_Gbup | 7 | 2 | 13.2 |
| xen15-gilson-aristoxenus-diatonic-syntonon | 7 | 0 | 14.5 |
| tedorian | 7 | 1 | 17.5 |
| xen09-chalmers-tritriadic-22-28-33 | 7 | 2 | 17.6 |
| xen15-chalmers-triadic-reversed-diamond-33-28 | 7 | 1 | 17.6 |
| CD14_14_Algeria | 7 | 0 | 18.3 |
| 79MOS_Suz-i_Dilara | 7 | 2 | 19.5 |
| zest24_Suz-i_Dilara_Dbup | 7 | 2 | 20.0 |
| xen09-wilson-marwa-08-03 | 7 | 3 | 21.5 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| grady_14 | 14 | 0.0 |
| portsmouth | 12 | 3.9 |
| cpak19 | 19 | 0.0 |
| cpak19a | 19 | 0.0 |
| cpak19b | 19 | 0.0 |
| xen07-chalmers-chalmers | 19 | 0.0 |
| xen07-chalmers-perrett | 19 | 0.0 |
| wier_cl | 12 | 9.1 |
| byzantine | 23 | 0.0 |
| qmeb3 | 12 | 10.6 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen03-wilson-acute-05 | 5 | 0.0 |
| xen07-harrison-thoughts-5 | 5 | 0.0 |
| met24-quasi_5-EDO_F | 5 | 2.3 |
| ForJustin-pentatonic001 | 5 | 3.9 |
| xen07-harrison-thoughts-6 | 5 | 9.1 |
| xen18-erlich-semaphore-05 | 5 | 17.6 |
| neutr_pent2 | 5 | 19.1 |
| xen18-schulter-harrison-17-wt | 5 | 20.6 |
| xen18-schulter-pelog-like | 5 | 20.6 |
| xen18-schulter-harrison | 5 | 21.5 |
Raw file
! xen15-gilson-ptolemy-diatonic-malakon.scl ! Ptolemy's Diatonic Malakon 7 ! 21/20 ! 70 moc 7/6 ! 222 moc 4/3 ! 415 moc 3/2 ! 585 moc 63/40 ! 655 moc; originally printed as 14/9 7/4 ! 807 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