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| Comprehensive list of [[MOS scale]]s in [[12edo]].
| | {{MOSes in EDO|Show Subsets=1|Number of Periods=All}} |
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| =Strict MOS=
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| <ul><li>11 1</li><li>10 1 1</li><li>9 1 1 1</li><li>8 1 1 1 1</li><li>7 1 1 1 1 1</li><li>6 1 1 1 1 1 1</li><li>5 1 1 1 1 1 1 1</li><li>4 1 1 1 1 1 1 1 1</li><li>3 1 1 1 1 1 1 1 1 1</li><li>2 1 1 1 1 1 1 1 1 1 1</li><li>10 2 (6edo)</li><li>8 2 2 (6edo)</li><li>6 2 2 2 (6edo)</li><li>4 2 2 2 2 (6edo)</li><li>9 3 (4edo)</li><li>6 3 3 (4edo)</li><li>8 4 (3edo)</li><li>7 5 (meantone[2])</li><li>5 5 2 (meantone[3] aka quartal triad)</li><li>3 2 3 2 2 (meantone[5] aka pentatonic)</li><li>2 2 2 1 2 2 1 (meantone[7] aka diatonic)</li></ul>
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| =Multi-MOS= | |
| <ul><li>6 6 (2edo)</li><li>5 1 5 1 (pajara[4])</li><li>4 1 1 4 1 1 (pajara[6])</li><li>3 1 1 1 3 1 1 1 (pajara[8])</li><li>2 1 1 1 1 2 1 1 1 1 (pajara[10])</li><li>4 2 4 2 (6edo)</li><li>4 4 4 (3edo)</li><li>3 1 3 1 3 1 (augmented[6])</li><li>2 1 1 2 1 1 2 1 1 (augmented[9])</li><li>3 3 3 3 (4edo)</li><li>2 1 2 1 2 1 2 1 (diminished[8] aka octatonic)</li><li>2 2 2 2 2 2 (6edo)</li><li>1 1 1 1 1 1 1 1 1 1 1 1</li></ul>
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| [[Category:todo:link]]
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Latest revision as of 19:33, 27 February 2025
This page lists all moment of symmetry scales in 12edo.
Single-period MOS scales
Generators 7\12 and 5\12
| Step visualization
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MOS (name)
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Step sizes
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Step ratio
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| ├──────┼────┤
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1L 1s
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7, 5
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7:5
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| ├─┼────┼────┤
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2L 1s
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5, 2
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5:2
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| ├─┼─┼──┼─┼──┤
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2L 3s
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3, 2
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3:2
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| ├─┼─┼─┼┼─┼─┼┤
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5L 2s (diatonic)
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2, 1
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2:1
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| ├┼┼┼┼┼┼┼┼┼┼┼┤
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12edo
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1, 1
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1:1
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Generators 8\12 and 4\12
| Step visualization
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MOS (name)
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Step sizes
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Step ratio
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| ├───────┼───┤
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1L 1s
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8, 4
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2:1
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| ├───┼───┼───┤
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3edo
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4, 4
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1:1
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Generators 9\12 and 3\12
| Step visualization
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MOS (name)
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Step sizes
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Step ratio
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| ├────────┼──┤
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1L 1s
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9, 3
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3:1
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| ├─────┼──┼──┤
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1L 2s
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6, 3
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2:1
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| ├──┼──┼──┼──┤
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4edo
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3, 3
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1:1
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Generators 10\12 and 2\12
| Step visualization
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MOS (name)
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Step sizes
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Step ratio
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| ├─────────┼─┤
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1L 1s
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10, 2
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5:1
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| ├───────┼─┼─┤
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1L 2s
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8, 2
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4:1
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| ├─────┼─┼─┼─┤
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1L 3s
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6, 2
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3:1
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| ├───┼─┼─┼─┼─┤
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1L 4s
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4, 2
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2:1
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| ├─┼─┼─┼─┼─┼─┤
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6edo
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2, 2
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1:1
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Generators 11\12 and 1\12
| Step visualization
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MOS (name)
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Step sizes
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Step ratio
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| ├──────────┼┤
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1L 1s
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11, 1
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11:1
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| ├─────────┼┼┤
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1L 2s
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10, 1
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10:1
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| ├────────┼┼┼┤
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1L 3s
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9, 1
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9:1
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| ├───────┼┼┼┼┤
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1L 4s
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8, 1
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8:1
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| ├──────┼┼┼┼┼┤
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1L 5s (antimachinoid)
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7, 1
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7:1
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| ├─────┼┼┼┼┼┼┤
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1L 6s (onyx)
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6, 1
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6:1
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| ├────┼┼┼┼┼┼┼┤
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1L 7s (antipine)
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5, 1
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5:1
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| ├───┼┼┼┼┼┼┼┼┤
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1L 8s (antisubneutralic)
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4, 1
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4:1
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| ├──┼┼┼┼┼┼┼┼┼┤
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1L 9s (antisinatonic)
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3, 1
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3:1
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| ├─┼┼┼┼┼┼┼┼┼┼┤
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1L 10s
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2, 1
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2:1
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| ├┼┼┼┼┼┼┼┼┼┼┼┤
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12edo
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1, 1
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1:1
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Multi-period MOS scales
2 periods
Generators 4\12 and 2\12
| Step visualization
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MOS (name)
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Step sizes
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Step ratio
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| ├───┼─┼───┼─┤
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2L 2s
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4, 2
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2:1
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| ├─┼─┼─┼─┼─┼─┤
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6edo
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2, 2
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1:1
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Generators 5\12 and 1\12
| Step visualization
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MOS (name)
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Step sizes
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Step ratio
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| ├────┼┼────┼┤
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2L 2s
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5, 1
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5:1
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| ├───┼┼┼───┼┼┤
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2L 4s (malic)
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4, 1
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4:1
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| ├──┼┼┼┼──┼┼┼┤
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2L 6s (subaric)
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3, 1
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3:1
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| ├─┼┼┼┼┼─┼┼┼┼┤
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2L 8s (jaric)
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2, 1
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2:1
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| ├┼┼┼┼┼┼┼┼┼┼┼┤
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12edo
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1, 1
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1:1
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3 periods
Generators 3\12 and 1\12
| Step visualization
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MOS (name)
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Step sizes
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Step ratio
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| ├──┼┼──┼┼──┼┤
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3L 3s (triwood)
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3, 1
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3:1
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| ├─┼┼┼─┼┼┼─┼┼┤
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3L 6s (tcherepnin)
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2, 1
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2:1
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| ├┼┼┼┼┼┼┼┼┼┼┼┤
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12edo
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1, 1
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1:1
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4 periods
Generators 2\12 and 1\12
| Step visualization
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MOS (name)
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Step sizes
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Step ratio
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| ├─┼┼─┼┼─┼┼─┼┤
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4L 4s (tetrawood)
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2, 1
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2:1
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| ├┼┼┼┼┼┼┼┼┼┼┼┤
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12edo
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1, 1
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1:1
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