xen15-gilson-generalized-pythagorean-11-8-11
Generalized Pythagorean Scale, 11/8 stacked 11=5+6 times
Properties
| Notes | 11 |
|---|---|
| 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 (¢) |
|---|---|
| 162 | 162 |
| 259 | 97 |
| 357 | 97 |
| 454 | 97 |
| 551 | 97 |
| 713 | 162 |
| 811 | 97 |
| 908 | 97 |
| 1005 | 97 |
| 1103 | 97 |
| 1200 | 97 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| 37-EDO_generator11_8 | 11 | 0 | 0.3 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen15-gilson-generalized-pythagorean-11-8-13 | 13 | 0.0 |
| xen15-gilson-generalized-pythagorean-11-8-24 | 24 | 0.0 |
| xen15-gilson-generalized-pythagorean-11-8-37 | 37 | 0.0 |
| edo-37 | 37 | 0.3 |
| jiri24a | 24 | 11.8 |
| edo-24 | 24 | 13.2 |
| xen11-garcia-linear-29 | 29 | 11.5 |
| xen03-wilson-negative-31 | 31 | 12.9 |
| edo-50 | 50 | 6.8 |
| xen18-erlich-porcupine-37 | 37 | 11.7 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| 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 |
| CD09_12_Egypt | 6 | 21.4 |
| CD07_16_bayati_Egypt | 6 | 23.0 |
| xen12-wilson-09-4C2-hexany-09 | 6 | 23.5 |
| Ethiopia_Mus_01_1976 | 5 | 23.6 |
| Ethiopia_AI_528_130_1939 | 5 | 23.8 |
Raw file
! xen15-gilson-generalized-pythagorean-11-8-11.scl ! Generalized Pythagorean Scale, 11/8 stacked 11=5+6 times 11 ! 161.861481 ! 135 moc 19487171/16777216 ! 216 moc 161051/131072 ! 297 moc 1331/1024 ! 378 moc 11/8 ! 459 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