xen15-gilson-generalized-pythagorean-11-8-13
Generalized Pythagorean Scale, 11/8 stacked 13=6+7 times
Properties
| Notes | 13 |
|---|---|
| Period | 1200.0 ¢ |
| Just | No |
| 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 (¢) | Step (¢) |
|---|---|
| 64 | 64 |
| 162 | 97 |
| 259 | 97 |
| 357 | 97 |
| 454 | 97 |
| 551 | 97 |
| 616 | 64 |
| 713 | 97 |
| 811 | 97 |
| 908 | 97 |
| 1005 | 97 |
| 1103 | 97 |
| 1200 | 97 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen15-gilson-generalized-pythagorean-11-8-24 | 24 | 0.0 |
| xen15-gilson-generalized-pythagorean-11-8-37 | 37 | 0.0 |
| edo-37 | 37 | 0.4 |
| xen11-garcia-linear-29 | 29 | 11.5 |
| jiri24a | 24 | 15.7 |
| edo-24 | 24 | 15.8 |
| xen03-wilson-negative-31 | 31 | 12.9 |
| xen18-erlich-porcupine-37 | 37 | 11.7 |
| monzo_pyth-quartertone | 24 | 18.4 |
| edo-50 | 50 | 8.2 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen15-gilson-generalized-pythagorean-11-8-11 | 11 | 0.0 |
| 37-EDO_generator11_8 | 11 | 0.3 |
| Ethiopia_AI_512_20_1939 | 5 | 5.8 |
| slendro10 | 5 | 14.6 |
| CD10_02_Egypt | 6 | 15.4 |
| met24-slendro10-var_C | 5 | 18.3 |
| met24-oceania_C | 5 | 19.1 |
| xen10-chalmers-tritriadic-13-23-21 | 7 | 19.7 |
| xen12-chalmers-tritriadic-dm-7-9-5 | 7 | 20.5 |
| xen09-chalmers-tritriadic-9-13-10 | 7 | 20.8 |
Raw file
! xen15-gilson-generalized-pythagorean-11-8-13.scl ! Generalized Pythagorean Scale, 11/8 stacked 13=6+7 times 13 ! 64.497366 ! 54 moc 161.861481 ! 135 moc 19487171/16777216 ! 216 moc 161051/131072 ! 297 moc 1331/1024 ! 378 moc 11/8 ! 459 moc 615.815308 ! 513 moc 713.179424 ! 594 moc 214358881/134217728 ! 675 moc 1771561/1048576 ! 757 moc 14641/8192 ! 838 moc 121/64 ! 919 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