xen18-schulter-pythagorean
12-note Pythagorean tuning
Properties
| Notes | 12 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 3-limit |
| Source | Xenharmonikon 18 |
| Reference | Margo Schulter, George Secor's 17-Tone Well-Temperament and Neo-Medieval Music, Xenharmonikon 18 (2006), p.83 |
| Author | Margo Schulter |
| Article | 29 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 2187/2048 | 114 | 2187/2048 | 114 |
| 9/8 | 204 | 256/243 | 90 |
| 32/27 | 294 | 256/243 | 90 |
| 81/64 | 408 | 2187/2048 | 114 |
| 4/3 | 498 | 256/243 | 90 |
| 729/512 | 612 | 2187/2048 | 114 |
| 3/2 | 702 | 256/243 | 90 |
| 6561/4096 | 816 | 2187/2048 | 114 |
| 27/16 | 906 | 256/243 | 90 |
| 16/9 | 996 | 256/243 | 90 |
| 243/128 | 1110 | 2187/2048 | 114 |
| 2/1 | 1200 | 256/243 | 90 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen15-gilson-pythagorean-chromatic | 12 | 2 | 0.0 |
| xen03-wilson-positive-12 | 12 | 3 | 0.0 |
| xen15-gilson-generalized-pythagorean-3-2-12 | 12 | 9 | 0.0 |
| xen18-erlich-helmholtz-12 | 12 | 3 | 1.6 |
| schismatic12 | 12 | 6 | 1.6 |
| schisdia4 | 12 | 0 | 2.0 |
| SpBruckner | 12 | 6 | 2.0 |
| raintree | 12 | 10 | 2.0 |
| schisdia1 | 12 | 7 | 2.0 |
| schisdia5 | 12 | 10 | 2.0 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| pyth_17 | 17 | 0.0 |
| xen18-erlich-helmholtz-17 | 17 | 1.6 |
| xen18-erlich-garibaldi-17 | 17 | 2.4 |
| xen18-erlich-dominant-17 | 17 | 4.8 |
| xenoga24 | 24 | 0.0 |
| xenogj24 | 24 | 0.0 |
| indiang | 22 | 1.4 |
| indians | 22 | 1.8 |
| uruk | 17 | 5.8 |
| indianred | 22 | 2.0 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| pseudo_Odo_octatonics | 8 | 0.0 |
| synmav1 | 7 | 0.0 |
| xen06-london-ditone-diatonic | 7 | 0.0 |
| xen09-chalmers-tritriadic-64-81-96 | 7 | 0.0 |
| xen09-wilson-marwa-02-01 | 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 |
| xen10-wilson-purvi-01-01 | 7 | 0.0 |
| xen10-wilson-purvi-01-02 | 7 | 0.0 |
Raw file
! xen18-schulter-pythagorean.scl ! 12-note Pythagorean tuning 12 ! 2187/2048 ! C# 9/8 ! D 32/27 ! Eb 81/64 ! E 4/3 ! F 729/512 ! F#, originally printed as 729:612 3/2 ! G 6561/4096 ! G# 27/16 ! A 16/9 ! Bb 243/128 ! B, originally printed as 256:243 2/1 ! C ! ! Margo Schulter ! George Secor's 17-Tone Well-Temperament and Neo-Medieval Music ! Xenharmonikon 18 (2006), p.83 ! ! [info] ! source = Xenharmonikon ! whole_number = 18