xen03-wilson-positive-17
Positive, linear-mapped intonational system, 17 notes
Properties
| Notes | 17 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 5-limit |
| Source | Xenharmonikon 3 |
| Reference | Erv Wilson, On the development of intonational systems by extended linear mapping, Xenharmonikon 3 (1975) |
| Author | Erv Wilson |
| Read online | www.anaphoria.com |
| Article | 18 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 256/243 | 90 | 256/243 | 90 |
| 10/9 | 182 | 135/128 | 92 |
| 9/8 | 204 | 81/80 | 22 |
| 32/27 | 294 | 256/243 | 90 |
| 5/4 | 386 | 135/128 | 92 |
| 81/64 | 408 | 81/80 | 22 |
| 4/3 | 498 | 256/243 | 90 |
| 1024/729 | 588 | 256/243 | 90 |
| 40/27 | 680 | 135/128 | 92 |
| 3/2 | 702 | 81/80 | 22 |
| 128/81 | 792 | 256/243 | 90 |
| 5/3 | 884 | 135/128 | 92 |
| 27/16 | 906 | 81/80 | 22 |
| 16/9 | 996 | 256/243 | 90 |
| 15/8 | 1088 | 135/128 | 92 |
| 243/128 | 1110 | 81/80 | 22 |
| 2/1 | 1200 | 256/243 | 90 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen18-erlich-helmholtz-17 | 17 | 13 | 1.3 |
| schisynch17 | 17 | 0 | 1.4 |
| pyth_17 | 17 | 16 | 2.0 |
| dwarf17_5 | 17 | 7 | 2.0 |
| xen02-wilson-arabic | 17 | 7 | 2.0 |
| xen18-darreg-djami-17 | 17 | 7 | 2.4 |
| xen18-erlich-garibaldi-17 | 17 | 13 | 4.2 |
| xen18-erlich-dominant-17 | 17 | 13 | 7.6 |
| uruk | 17 | 16 | 7.7 |
| jot17 | 17 | 12 | 24.9 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| jsmith24 | 24 | 2.0 |
| xen03-wilson-positive-29 | 29 | 0.0 |
| garibaldi24 | 24 | 3.9 |
| schis24 | 24 | 3.9 |
| xen18-erlich-helmholtz-29 | 29 | 1.3 |
| schisynch29 | 29 | 1.4 |
| xen18-erlich-garibaldi-29 | 29 | 4.2 |
| xen03-wilson-positive-41 | 41 | 0.0 |
| xen18-erlich-compton-24 | 24 | 9.2 |
| xen18-erlich-helmholtz-41 | 41 | 1.3 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen03-wilson-positive-12 | 12 | 0.0 |
| xen18-ayers-table-23 | 9 | 0.0 |
| Newton_ext_mixolydian | 8 | 0.0 |
| pseudo_Odo_octatonics | 8 | 0.0 |
| mavchrome7 | 7 | 0.0 |
| synmav1 | 7 | 0.0 |
| synmav3 | 7 | 0.0 |
| synmav4 | 7 | 0.0 |
| xen03-wilson-positive-07 | 7 | 0.0 |
| xen06-london-ditone-diatonic | 7 | 0.0 |
Raw file
! xen03-wilson-positive-17.scl ! Positive, linear-mapped intonational system, 17 notes 17 ! 256/243 10/9 9/8 32/27 5/4 81/64 4/3 1024/729 40/27 3/2 128/81 5/3 27/16 16/9 15/8 243/128 2/1 ! ! Erv Wilson ! On the development of intonational systems by extended linear mapping ! Xenharmonikon 3 (1975) ! ! Diagram 5 ! ! [info] ! source = Xenharmonikon ! whole_number = 3