xen15-gilson-generalized-pythagorean-7-4-5
Generalized Pythagorean Scale, 7/4 stacked 5=4+1 times
Properties
| Notes | 5 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 7-limit |
| Source | Xenharmonikon 15 |
| Reference | Bruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.118 |
| Author | Bruce R. Gilson |
| Article | 47 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 2401/2048 | 275 | 2401/2048 | 275 |
| 343/256 | 506 | 8/7 | 231 |
| 49/32 | 738 | 8/7 | 231 |
| 7/4 | 969 | 8/7 | 231 |
| 2/1 | 1200 | 8/7 | 231 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen18-erlich-cynder-05 | 5 | 2 | 3.7 |
| pygmie | 5 | 3 | 8.4 |
| DR_Congo_Vocal_02 | 5 | 3 | 8.7 |
| slendro_pc | 5 | 4 | 11.3 |
| Indonesia_Udanriris | 5 | 3 | 15.3 |
| Sudan_Janger_141 | 5 | 3 | 15.8 |
| Indonesia_Konservatori_Karawitan_Gamelan_II_b | 5 | 2 | 16.3 |
| Indonesia_Pusparana | 5 | 3 | 16.3 |
| Indonesia_Prarasrum | 5 | 4 | 17.5 |
| Indonesia_Swaraharja | 5 | 4 | 18.5 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| mothra11rat | 11 | 0.0 |
| xen10-wilson-purvi-03a-05 | 7 | 8.4 |
| xen10-wilson-purvi-03a-06 | 7 | 8.4 |
| xen10-wilson-purvi-03a-07 | 7 | 8.4 |
| mothra11sub | 11 | 3.4 |
| xen18-erlich-cynder-11 | 11 | 3.7 |
| tripenta | 15 | 4.3 |
| xen18-erlich-cynder-16 | 16 | 3.7 |
| gorgo-pelog | 7 | 17.7 |
| xen18-erlich-lemba-16 | 16 | 4.6 |
Raw file
! xen15-gilson-generalized-pythagorean-7-4-5.scl ! Generalized Pythagorean Scale, 7/4 stacked 5=4+1 times 5 ! 2401/2048 ! 229 moc 343/256 ! 422 moc 49/32 ! 615 moc 7/4 ! 807 moc 2/1 ! 1000 moc ! ! Bruce R. Gilson ! A Numerical Theory of Scale Invention ! Xenharmonikon 15 (1993), p.118 ! ! [info] ! source = Xenharmonikon ! whole_number = 15