xen15-gilson-generalized-pythagorean-18-17-12
Generalized Pythagorean Scale, 18/17 stacked 12=1+11 times
Properties
| Notes | 12 |
|---|---|
| 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 (¢) |
|---|---|
| 99 | 99 |
| 198 | 99 |
| 297 | 99 |
| 396 | 99 |
| 495 | 99 |
| 594 | 99 |
| 693 | 99 |
| 792 | 99 |
| 891 | 99 |
| 990 | 99 |
| 1089 | 99 |
| 1200 | 111 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen18-erlich-dimisept-12 | 12 | 1 | 5.9 |
| xen18-erlich-passion-12 | 12 | 6 | 6.1 |
| septenarius_GG49Hz | 12 | 10 | 6.5 |
| 12_lumma_vrwt | 12 | 7 | 6.5 |
| LummaVRWT | 12 | 7 | 6.5 |
| 12_moh-ha-ha | 12 | 4 | 6.5 |
| SpDoubEpi11lim | 12 | 0 | 6.5 |
| johnson_ratwell | 12 | 0 | 6.5 |
| neidhardt1 | 12 | 0 | 6.5 |
| 12_lumma_5thcomma246 | 12 | 5 | 6.5 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-erlich-dimisept-20 | 20 | 5.9 |
| xen18-erlich-dimipent-20 | 20 | 6.9 |
| xen18-erlich-passion-13 | 13 | 13.6 |
| dwarf17_5 | 17 | 9.5 |
| xen02-wilson-arabic | 17 | 9.5 |
| xen03-wilson-baglama | 17 | 9.5 |
| xen03-wilson-positive-17 | 17 | 9.5 |
| schisynch17 | 17 | 9.6 |
| xen07-chalmers-sixth-comma | 19 | 9.1 |
| xen18-darreg-djami-17 | 17 | 11.8 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| CD16_08_Morocco | 6 | 5.6 |
| CD14_04_Algeria | 6 | 5.9 |
| xen09-wilson-marwa-11b-01 | 7 | 6.5 |
| xen18-erlich-dominant-05 | 5 | 6.7 |
| xen18-erlich-dimisept-08 | 8 | 7.5 |
| CD16_07_Morocco | 6 | 8.0 |
| xen18-erlich-august-06 | 6 | 8.3 |
| xen09-wilson-marwa-05-01 | 7 | 8.7 |
| xen10-wilson-purvi-01-07 | 7 | 8.7 |
| Vietnam_Bac | 5 | 8.9 |
Raw file
! xen15-gilson-generalized-pythagorean-18-17-12.scl ! Generalized Pythagorean Scale, 18/17 stacked 12=1+11 times 12 ! 18/17 ! 82 moc 324/289 ! 165 moc 5832/4913 ! 247 moc 104976/83521 ! 330 moc 1889568/1419857 ! 412 moc 34012224/24137569 ! 495 moc 612220032/410338673 ! 577 moc 791.636738 ! 660 moc 890.59133 ! 742 moc 989.545922 ! 825 moc 1088.500515 ! 907 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