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{{MOS in EDO allperiods customedo|Edo= | {{MOS in EDO allperiods customedo|Edo=15|Show Subsets=1}} | ||
Revision as of 02:00, 8 April 2025
This page lists all moment of symmetry scales in 15edo.
Single-period MOS scales
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├───────┼──────┤ | 1L 1s | 8, 7 | 8:7 |
| ├┼──────┼──────┤ | 2L 1s | 7, 1 | 7:1 |
| ├┼┼─────┼┼─────┤ | 2L 3s | 6, 1 | 6:1 |
| ├┼┼┼────┼┼┼────┤ | 2L 5s (antidiatonic) | 5, 1 | 5:1 |
| ├┼┼┼┼───┼┼┼┼───┤ | 2L 7s (balzano) | 4, 1 | 4:1 |
| ├┼┼┼┼┼──┼┼┼┼┼──┤ | 2L 9s | 3, 1 | 3:1 |
| ├┼┼┼┼┼┼─┼┼┼┼┼┼─┤ | 2L 11s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 15edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├────────┼─────┤ | 1L 1s | 9, 6 | 3:2 |
| ├──┼─────┼─────┤ | 2L 1s | 6, 3 | 2:1 |
| ├──┼──┼──┼──┼──┤ | 5edo | 3, 3 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├─────────┼────┤ | 1L 1s | 10, 5 | 2:1 |
| ├────┼────┼────┤ | 3edo | 5, 5 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├──────────┼───┤ | 1L 1s | 11, 4 | 11:4 |
| ├──────┼───┼───┤ | 1L 2s | 7, 4 | 7:4 |
| ├──┼───┼───┼───┤ | 3L 1s | 4, 3 | 4:3 |
| ├──┼──┼┼──┼┼──┼┤ | 4L 3s (smitonic) | 3, 1 | 3:1 |
| ├─┼┼─┼┼┼─┼┼┼─┼┼┤ | 4L 7s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 15edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├───────────┼──┤ | 1L 1s | 12, 3 | 4:1 |
| ├────────┼──┼──┤ | 1L 2s | 9, 3 | 3:1 |
| ├─────┼──┼──┼──┤ | 1L 3s | 6, 3 | 2:1 |
| ├──┼──┼──┼──┼──┤ | 5edo | 3, 3 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├────────────┼─┤ | 1L 1s | 13, 2 | 13:2 |
| ├──────────┼─┼─┤ | 1L 2s | 11, 2 | 11:2 |
| ├────────┼─┼─┼─┤ | 1L 3s | 9, 2 | 9:2 |
| ├──────┼─┼─┼─┼─┤ | 1L 4s | 7, 2 | 7:2 |
| ├────┼─┼─┼─┼─┼─┤ | 1L 5s (antimachinoid) | 5, 2 | 5:2 |
| ├──┼─┼─┼─┼─┼─┼─┤ | 1L 6s (onyx) | 3, 2 | 3:2 |
| ├┼─┼─┼─┼─┼─┼─┼─┤ | 7L 1s (pine) | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 15edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├─────────────┼┤ | 1L 1s | 14, 1 | 14:1 |
| ├────────────┼┼┤ | 1L 2s | 13, 1 | 13:1 |
| ├───────────┼┼┼┤ | 1L 3s | 12, 1 | 12:1 |
| ├──────────┼┼┼┼┤ | 1L 4s | 11, 1 | 11:1 |
| ├─────────┼┼┼┼┼┤ | 1L 5s (antimachinoid) | 10, 1 | 10:1 |
| ├────────┼┼┼┼┼┼┤ | 1L 6s (onyx) | 9, 1 | 9:1 |
| ├───────┼┼┼┼┼┼┼┤ | 1L 7s (antipine) | 8, 1 | 8:1 |
| ├──────┼┼┼┼┼┼┼┼┤ | 1L 8s (antisubneutralic) | 7, 1 | 7:1 |
| ├─────┼┼┼┼┼┼┼┼┼┤ | 1L 9s (antisinatonic) | 6, 1 | 6:1 |
| ├────┼┼┼┼┼┼┼┼┼┼┤ | 1L 10s | 5, 1 | 5:1 |
| ├───┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 11s | 4, 1 | 4:1 |
| ├──┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 12s | 3, 1 | 3:1 |
| ├─┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 13s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 15edo | 1, 1 | 1:1 |
Multi-period MOS scales
3 periods
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├──┼─┼──┼─┼──┼─┤ | 3L 3s (triwood) | 3, 2 | 3:2 |
| ├┼─┼─┼┼─┼─┼┼─┼─┤ | 6L 3s (hyrulic) | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 15edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├───┼┼───┼┼───┼┤ | 3L 3s (triwood) | 4, 1 | 4:1 |
| ├──┼┼┼──┼┼┼──┼┼┤ | 3L 6s (tcherepnin) | 3, 1 | 3:1 |
| ├─┼┼┼┼─┼┼┼┼─┼┼┼┤ | 3L 9s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 15edo | 1, 1 | 1:1 |
5 periods
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├─┼┼─┼┼─┼┼─┼┼─┼┤ | 5L 5s (pentawood) | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 15edo | 1, 1 | 1:1 |