List of MOS scales in 22edo: Difference between revisions
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{{MOSes in EDO | {{MOSes in EDO}} | ||
== Notes == | == Notes == | ||
This table does not include MOS scales that are found in 11edo. | This table does not include MOS scales that are found in 11edo. | ||
Latest revision as of 19:06, 27 February 2025
This page lists all moment of symmetry scales in 22edo.
Single-period MOS scales
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├────────────┼────────┤ | 1L 1s | 13, 9 | 13:9 |
| ├───┼────────┼────────┤ | 2L 1s | 9, 4 | 9:4 |
| ├───┼───┼────┼───┼────┤ | 2L 3s | 5, 4 | 5:4 |
| ├───┼───┼───┼┼───┼───┼┤ | 5L 2s (diatonic) | 4, 1 | 4:1 |
| ├──┼┼──┼┼──┼┼┼──┼┼──┼┼┤ | 5L 7s | 3, 1 | 3:1 |
| ├─┼┼┼─┼┼┼─┼┼┼┼─┼┼┼─┼┼┼┤ | 5L 12s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├──────────────┼──────┤ | 1L 1s | 15, 7 | 15:7 |
| ├───────┼──────┼──────┤ | 1L 2s | 8, 7 | 8:7 |
| ├┼──────┼──────┼──────┤ | 3L 1s | 7, 1 | 7:1 |
| ├┼┼─────┼┼─────┼┼─────┤ | 3L 4s (mosh) | 6, 1 | 6:1 |
| ├┼┼┼────┼┼┼────┼┼┼────┤ | 3L 7s (sephiroid) | 5, 1 | 5:1 |
| ├┼┼┼┼───┼┼┼┼───┼┼┼┼───┤ | 3L 10s | 4, 1 | 4:1 |
| ├┼┼┼┼┼──┼┼┼┼┼──┼┼┼┼┼──┤ | 3L 13s | 3, 1 | 3:1 |
| ├┼┼┼┼┼┼─┼┼┼┼┼┼─┼┼┼┼┼┼─┤ | 3L 16s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├────────────────┼────┤ | 1L 1s | 17, 5 | 17:5 |
| ├───────────┼────┼────┤ | 1L 2s | 12, 5 | 12:5 |
| ├──────┼────┼────┼────┤ | 1L 3s | 7, 5 | 7:5 |
| ├─┼────┼────┼────┼────┤ | 4L 1s | 5, 2 | 5:2 |
| ├─┼─┼──┼─┼──┼─┼──┼─┼──┤ | 4L 5s (gramitonic) | 3, 2 | 3:2 |
| ├─┼─┼─┼┼─┼─┼┼─┼─┼┼─┼─┼┤ | 9L 4s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├──────────────────┼──┤ | 1L 1s | 19, 3 | 19:3 |
| ├───────────────┼──┼──┤ | 1L 2s | 16, 3 | 16:3 |
| ├────────────┼──┼──┼──┤ | 1L 3s | 13, 3 | 13:3 |
| ├─────────┼──┼──┼──┼──┤ | 1L 4s | 10, 3 | 10:3 |
| ├──────┼──┼──┼──┼──┼──┤ | 1L 5s (antimachinoid) | 7, 3 | 7:3 |
| ├───┼──┼──┼──┼──┼──┼──┤ | 1L 6s (onyx) | 4, 3 | 4:3 |
| ├┼──┼──┼──┼──┼──┼──┼──┤ | 7L 1s (pine) | 3, 1 | 3:1 |
| ├┼┼─┼┼─┼┼─┼┼─┼┼─┼┼─┼┼─┤ | 7L 8s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├────────────────────┼┤ | 1L 1s | 21, 1 | 21:1 |
| ├───────────────────┼┼┤ | 1L 2s | 20, 1 | 20:1 |
| ├──────────────────┼┼┼┤ | 1L 3s | 19, 1 | 19:1 |
| ├─────────────────┼┼┼┼┤ | 1L 4s | 18, 1 | 18:1 |
| ├────────────────┼┼┼┼┼┤ | 1L 5s (antimachinoid) | 17, 1 | 17:1 |
| ├───────────────┼┼┼┼┼┼┤ | 1L 6s (onyx) | 16, 1 | 16:1 |
| ├──────────────┼┼┼┼┼┼┼┤ | 1L 7s (antipine) | 15, 1 | 15:1 |
| ├─────────────┼┼┼┼┼┼┼┼┤ | 1L 8s (antisubneutralic) | 14, 1 | 14:1 |
| ├────────────┼┼┼┼┼┼┼┼┼┤ | 1L 9s (antisinatonic) | 13, 1 | 13:1 |
| ├───────────┼┼┼┼┼┼┼┼┼┼┤ | 1L 10s | 12, 1 | 12:1 |
| ├──────────┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 11s | 11, 1 | 11:1 |
| ├─────────┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 12s | 10, 1 | 10:1 |
| ├────────┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 13s | 9, 1 | 9:1 |
| ├───────┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 14s | 8, 1 | 8:1 |
| ├──────┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 15s | 7, 1 | 7:1 |
| ├─────┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 16s | 6, 1 | 6:1 |
| ├────┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 17s | 5, 1 | 5:1 |
| ├───┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 18s | 4, 1 | 4:1 |
| ├──┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 19s | 3, 1 | 3:1 |
| ├─┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 1L 20s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
Multi-period MOS scales
2 periods
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├─────┼────┼─────┼────┤ | 2L 2s | 6, 5 | 6:5 |
| ├┼────┼────┼┼────┼────┤ | 4L 2s (citric) | 5, 1 | 5:1 |
| ├┼┼───┼┼───┼┼┼───┼┼───┤ | 4L 6s (lime) | 4, 1 | 4:1 |
| ├┼┼┼──┼┼┼──┼┼┼┼──┼┼┼──┤ | 4L 10s | 3, 1 | 3:1 |
| ├┼┼┼┼─┼┼┼┼─┼┼┼┼┼─┼┼┼┼─┤ | 4L 14s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├──────┼───┼──────┼───┤ | 2L 2s | 7, 4 | 7:4 |
| ├──┼───┼───┼──┼───┼───┤ | 4L 2s (citric) | 4, 3 | 4:3 |
| ├──┼──┼┼──┼┼──┼──┼┼──┼┤ | 6L 4s (lemon) | 3, 1 | 3:1 |
| ├─┼┼─┼┼┼─┼┼┼─┼┼─┼┼┼─┼┼┤ | 6L 10s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├───────┼──┼───────┼──┤ | 2L 2s | 8, 3 | 8:3 |
| ├────┼──┼──┼────┼──┼──┤ | 2L 4s (malic) | 5, 3 | 5:3 |
| ├─┼──┼──┼──┼─┼──┼──┼──┤ | 6L 2s (ekic) | 3, 2 | 3:2 |
| ├─┼─┼┼─┼┼─┼┼─┼─┼┼─┼┼─┼┤ | 8L 6s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├────────┼─┼────────┼─┤ | 2L 2s | 9, 2 | 9:2 |
| ├──────┼─┼─┼──────┼─┼─┤ | 2L 4s (malic) | 7, 2 | 7:2 |
| ├────┼─┼─┼─┼────┼─┼─┼─┤ | 2L 6s (subaric) | 5, 2 | 5:2 |
| ├──┼─┼─┼─┼─┼──┼─┼─┼─┼─┤ | 2L 8s (jaric) | 3, 2 | 3:2 |
| ├┼─┼─┼─┼─┼─┼┼─┼─┼─┼─┼─┤ | 10L 2s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
| Step visualization | MOS (name) | Step sizes | Step ratio |
|---|---|---|---|
| ├─────────┼┼─────────┼┤ | 2L 2s | 10, 1 | 10:1 |
| ├────────┼┼┼────────┼┼┤ | 2L 4s (malic) | 9, 1 | 9:1 |
| ├───────┼┼┼┼───────┼┼┼┤ | 2L 6s (subaric) | 8, 1 | 8:1 |
| ├──────┼┼┼┼┼──────┼┼┼┼┤ | 2L 8s (jaric) | 7, 1 | 7:1 |
| ├─────┼┼┼┼┼┼─────┼┼┼┼┼┤ | 2L 10s | 6, 1 | 6:1 |
| ├────┼┼┼┼┼┼┼────┼┼┼┼┼┼┤ | 2L 12s | 5, 1 | 5:1 |
| ├───┼┼┼┼┼┼┼┼───┼┼┼┼┼┼┼┤ | 2L 14s | 4, 1 | 4:1 |
| ├──┼┼┼┼┼┼┼┼┼──┼┼┼┼┼┼┼┼┤ | 2L 16s | 3, 1 | 3:1 |
| ├─┼┼┼┼┼┼┼┼┼┼─┼┼┼┼┼┼┼┼┼┤ | 2L 18s | 2, 1 | 2:1 |
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤ | 22edo | 1, 1 | 1:1 |
Notes
This table does not include MOS scales that are found in 11edo.