xen15-gilson-ptolemy-diatonic-syntonon
Ptolemy's Diatonic Syntonon
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 |
| 6/5 | 316 | 9/8 | 204 |
| 4/3 | 498 | 10/9 | 182 |
| 3/2 | 702 | 9/8 | 204 |
| 8/5 | 814 | 16/15 | 112 |
| 9/5 | 1018 | 9/8 | 204 |
| 2/1 | 1200 | 10/9 | 182 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen03-wilson-negative-07 | 7 | 0 | 0.0 |
| nonepi | 7 | 2 | 2.0 |
| xen18-darreg-djami-hidjaz | 7 | 1 | 2.4 |
| diet | 7 | 2 | 7.1 |
| levy-05-darbari | 7 | 4 | 9.3 |
| xen18-erlich-meantone-07 | 7 | 1 | 9.3 |
| CD06_05_Egypt | 7 | 6 | 9.6 |
| diaopt5 | 7 | 2 | 9.7 |
| diaopt7 | 7 | 2 | 9.8 |
| dialeastsquares | 7 | 1 | 9.8 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| aaron | 12 | 0.0 |
| duodene | 12 | 0.0 |
| dwarf12_7 | 12 | 0.0 |
| ji_12 | 12 | 0.0 |
| kesred12_5 | 12 | 0.0 |
| schisdia6 | 12 | 0.0 |
| syndia2 | 12 | 0.0 |
| xen03-wilson-negative-12 | 12 | 0.0 |
| blueji-cataclysmic | 12 | 1.7 |
| xen15-gilson-pythagorean-chromatic | 12 | 2.0 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen03-wilson-negative-05 | 5 | 0.0 |
| levy-03-malkaus | 5 | 10.6 |
| levy-04-malkaus | 5 | 20.3 |
| tranh3 | 6 | 20.5 |
| xen03-wilson-positive-05 | 5 | 21.5 |
| CD14_04_Algeria | 6 | 22.2 |
| Vietnam_Sa_Mac | 5 | 22.4 |
| CD14_03_Algeria | 6 | 22.4 |
| Ethiopia_Mus_03_Yammatbal | 5 | 23.0 |
Raw file
! xen15-gilson-ptolemy-diatonic-syntonon.scl ! Ptolemy's Diatonic Syntonon 7 ! 16/15 ! 93 moc 6/5 ! 263 moc 4/3 ! 415 moc 3/2 ! 585 moc 8/5 ! 678 moc 9/5 ! 848 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