xen15-gilson-pythagorean-pentatonic
Pythagorean Intonation Pentatonic Scale (PIPS)
Properties
| Notes | 5 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 3-limit |
| Source | Xenharmonikon 15 |
| Reference | Bruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.114 |
| Author | Bruce R. Gilson |
| Article | 47 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 9/8 | 204 | 9/8 | 204 |
| 4/3 | 498 | 32/27 | 294 |
| 3/2 | 702 | 9/8 | 204 |
| 27/16 | 906 | 9/8 | 204 |
| 2/1 | 1200 | 32/27 | 294 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen03-wilson-positive-05 | 5 | 4 | 0.0 |
| xen15-gilson-generalized-pythagorean-3-2-5 | 5 | 3 | 0.0 |
| xen18-erlich-helmholtz-05 | 5 | 2 | 0.6 |
| xen18-erlich-garibaldi-05 | 5 | 2 | 1.3 |
| xen18-erlich-dominant-05 | 5 | 2 | 4.8 |
| CD15_18_Morocco | 5 | 2 | 6.5 |
| Uganda_Xylophone_a | 5 | 0 | 10.9 |
| Indonesia_Slendro_Tandak_Geroh | 5 | 3 | 13.9 |
| CD15_15_Morocco | 5 | 0 | 14.7 |
| xen18-erlich-meantone-05 | 5 | 2 | 14.9 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| segah_rat | 7 | 0.0 |
| synmav1 | 7 | 0.0 |
| synmav4 | 7 | 0.0 |
| synmav5 | 7 | 0.0 |
| xen06-london-ditone-diatonic | 7 | 0.0 |
| xen09-chalmers-tritriadic-64-81-96 | 7 | 0.0 |
| xen09-wilson-marwa-02-02 | 7 | 0.0 |
| xen09-wilson-marwa-02-03 | 7 | 0.0 |
| xen09-wilson-marwa-02-04 | 7 | 0.0 |
| xen09-wilson-marwa-03-06 | 7 | 0.0 |
Raw file
! xen15-gilson-pythagorean-pentatonic.scl ! Pythagorean Intonation Pentatonic Scale (PIPS) 5 ! 9/8 ! 170 moc 4/3 ! 415 moc 3/2 ! 585 moc 27/16 ! 755 moc 2/1 ! 1000 moc ! ! Bruce R. Gilson ! A Numerical Theory of Scale Invention ! Xenharmonikon 15 (1993), p.114 ! ! [info] ! source = Xenharmonikon ! whole_number = 15