xen15-gilson-eratosthenes-enharmonic
Eratosthenes' Enharmonic
Properties
| Notes | 7 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 23-limit |
| Source | Xenharmonikon 15 |
| Reference | Bruce R. Gilson, A Numerical Theory of Scale Invention, Xenharmonikon 15 (1993), p.132 |
| Author | Bruce R. Gilson |
| Article | 47 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 46/45 | 38 | 46/45 | 38 |
| 16/15 | 112 | 24/23 | 74 |
| 4/3 | 498 | 5/4 | 386 |
| 3/2 | 702 | 9/8 | 204 |
| 23/15 | 740 | 46/45 | 38 |
| 8/5 | 814 | 24/23 | 74 |
| 2/1 | 1200 | 5/4 | 386 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| xen10-wilson-purvi-11b-02 | 7 | 0 | 10.7 |
| xen09-wilson-marwa-17b-05 | 7 | 1 | 10.7 |
| xen15-gilson-aristoxenus-chromatic-malakon | 7 | 0 | 20.6 |
| xen15-gilson-aristoxenus-enharmonic | 7 | 0 | 22.9 |
| xen11-chalmers-tetrachordal-06-04 | 7 | 0 | 24.9 |
| xen15-gilson-archytas-enharmonic | 7 | 0 | 24.9 |
| xen10-wilson-purvi-11a-01 | 7 | 4 | 24.9 |
| xen11-chalmers-tetrachordal-06-07 | 7 | 4 | 24.9 |
| xen09-wilson-marwa-17a-05 | 7 | 1 | 24.9 |
| xen10-wilson-purvi-11a-07 | 7 | 1 | 24.9 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-erlich-wurschmidt-19 | 19 | 1.6 |
| xen18-erlich-wurschmidt-22 | 22 | 1.6 |
| xen18-erlich-wurschmidt-25 | 25 | 1.6 |
| xenogj24 | 24 | 3.9 |
| xen18-erlich-wurschmidt-28 | 28 | 1.6 |
| didymus19sync | 19 | 7.6 |
| xen18-erlich-miracle-21 | 21 | 6.3 |
| blackjack | 21 | 6.7 |
| blackjb | 21 | 6.7 |
| xen18-keenan-blackjack-guitar | 21 | 7.0 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-schulter-harrison | 5 | 24.9 |
Raw file
! xen15-gilson-eratosthenes-enharmonic.scl ! Eratosthenes' Enharmonic 7 ! 46/45 ! 32 moc 16/15 ! 93 moc 4/3 ! 415 moc 3/2 ! 585 moc 23/15 ! 617 moc 8/5 ! 678 moc 2/1 ! 1000 moc ! ! Bruce R. Gilson ! A Numerical Theory of Scale Invention ! Xenharmonikon 15 (1993), p.132 ! ! [info] ! source = Xenharmonikon ! whole_number = 15