List of MOS scales in 12edo: Difference between revisions

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This is a comprehensive list of [[MOS scale]]s in [[12edo]].
This is a comprehensive list of [[MOS scale]]s in [[12edo]].


== Strict MOS ==
== Single-period MOS scales ==
* 11 1
{{MOSes in EDO|EDO=12}}
* 10 1 1
* 9 1 1 1
* 8 1 1 1 1
* 7 1 1 1 1 1
* 6 1 1 1 1 1 1
* 5 1 1 1 1 1 1 1
* 4 1 1 1 1 1 1 1 1
* 3 1 1 1 1 1 1 1 1 1
* 2 1 1 1 1 1 1 1 1 1 1
* 10 2 ([[6edo]])
* 8 2 2 (6edo)
* 6 2 2 2 (6edo)
* 4 2 2 2 2 (6edo)
* 9 3 ([[4edo]])
* 6 3 3 (4edo)
* 8 4 (3edo)
* 7 5 ([[meantone]][2])
* 5 5 2 (meantone[3] aka quartal triad)
* 3 2 3 2 2 (meantone[5] aka [[2L 3s|pentatonic]])
* 2 2 2 1 2 2 1 (meantone[7] aka [[5L 2s|diatonic]])


== Multi-MOS ==
== Multi-period MOS scales ==
* 6 6 ([[2edo]])
* 5 1 5 1 ([[pajara]][4])
* 4 1 1 4 1 1 (pajara[6])
* 3 1 1 1 3 1 1 1 (pajara[8])
* 2 1 1 1 1 2 1 1 1 1 (pajara[10])
* 4 2 4 2 (6edo)
* 4 4 4 (3edo)
* 3 1 3 1 3 1 ([[Augmented family|augmented]][6])
* 2 1 1 2 1 1 2 1 1 (augmented[9])
* 3 3 3 3 (4edo)
* 2 1 2 1 2 1 2 1 ([[Dimipent family|diminished]][8] aka octatonic)
* 2 2 2 2 2 2 (6edo)
* 1 1 1 1 1 1 1 1 1 1 1 1


=== Scales with 2 periods ===
{{MOSes in EDO|EDO=12|Number of Periods=2}}
=== Scales with 3 periods ===
{{MOSes in EDO|EDO=12|Number of Periods=3}}
=== Scales with 4 periods ===
{{MOSes in EDO|EDO=12|Number of Periods=4}}
=== Scales with 6 periods ===
{{MOSes in EDO|EDO=12|Number of Periods=6}}
[[Category:Lists of scales]]
[[Category:Lists of scales]]
[[Category:12edo]]
[[Category:12edo]]

Revision as of 21:10, 4 December 2023

This is a comprehensive list of MOS scales in 12edo.

Single-period MOS scales

This page lists all moment of symmetry scales in 12edo.

Single-period MOS scales

Generators 7\12 and 5\12
Step visualization MOS (name) Step sizes Step ratio
├──────┼────┤ 1L 1s 7, 5 7:5
├─┼────┼────┤ 2L 1s 5, 2 5:2
├─┼─┼──┼─┼──┤ 2L 3s 3, 2 3:2
├─┼─┼─┼┼─┼─┼┤ 5L 2s (diatonic) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1
Generators 11\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──────────┼┤ 1L 1s 11, 1 11:1
├─────────┼┼┤ 1L 2s 10, 1 10:1
├────────┼┼┼┤ 1L 3s 9, 1 9:1
├───────┼┼┼┼┤ 1L 4s 8, 1 8:1
├──────┼┼┼┼┼┤ 1L 5s (antimachinoid) 7, 1 7:1
├─────┼┼┼┼┼┼┤ 1L 6s (onyx) 6, 1 6:1
├────┼┼┼┼┼┼┼┤ 1L 7s (antipine) 5, 1 5:1
├───┼┼┼┼┼┼┼┼┤ 1L 8s (antisubneutralic) 4, 1 4:1
├──┼┼┼┼┼┼┼┼┼┤ 1L 9s (antisinatonic) 3, 1 3:1
├─┼┼┼┼┼┼┼┼┼┼┤ 1L 10s 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Multi-period MOS scales

2 periods

Generators 5\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├────┼┼────┼┤ 2L 2s 5, 1 5:1
├───┼┼┼───┼┼┤ 2L 4s (malic) 4, 1 4:1
├──┼┼┼┼──┼┼┼┤ 2L 6s (subaric) 3, 1 3:1
├─┼┼┼┼┼─┼┼┼┼┤ 2L 8s (jaric) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

3 periods

Generators 3\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──┼┼──┼┼──┼┤ 3L 3s (triwood) 3, 1 3:1
├─┼┼┼─┼┼┼─┼┼┤ 3L 6s (tcherepnin) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

4 periods

Generators 2\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├─┼┼─┼┼─┼┼─┼┤ 4L 4s (tetrawood) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Multi-period MOS scales

Scales with 2 periods

This page lists all moment of symmetry scales in 12edo.

Single-period MOS scales

Generators 7\12 and 5\12
Step visualization MOS (name) Step sizes Step ratio
├──────┼────┤ 1L 1s 7, 5 7:5
├─┼────┼────┤ 2L 1s 5, 2 5:2
├─┼─┼──┼─┼──┤ 2L 3s 3, 2 3:2
├─┼─┼─┼┼─┼─┼┤ 5L 2s (diatonic) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1
Generators 11\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──────────┼┤ 1L 1s 11, 1 11:1
├─────────┼┼┤ 1L 2s 10, 1 10:1
├────────┼┼┼┤ 1L 3s 9, 1 9:1
├───────┼┼┼┼┤ 1L 4s 8, 1 8:1
├──────┼┼┼┼┼┤ 1L 5s (antimachinoid) 7, 1 7:1
├─────┼┼┼┼┼┼┤ 1L 6s (onyx) 6, 1 6:1
├────┼┼┼┼┼┼┼┤ 1L 7s (antipine) 5, 1 5:1
├───┼┼┼┼┼┼┼┼┤ 1L 8s (antisubneutralic) 4, 1 4:1
├──┼┼┼┼┼┼┼┼┼┤ 1L 9s (antisinatonic) 3, 1 3:1
├─┼┼┼┼┼┼┼┼┼┼┤ 1L 10s 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Multi-period MOS scales

2 periods

Generators 5\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├────┼┼────┼┤ 2L 2s 5, 1 5:1
├───┼┼┼───┼┼┤ 2L 4s (malic) 4, 1 4:1
├──┼┼┼┼──┼┼┼┤ 2L 6s (subaric) 3, 1 3:1
├─┼┼┼┼┼─┼┼┼┼┤ 2L 8s (jaric) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

3 periods

Generators 3\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──┼┼──┼┼──┼┤ 3L 3s (triwood) 3, 1 3:1
├─┼┼┼─┼┼┼─┼┼┤ 3L 6s (tcherepnin) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

4 periods

Generators 2\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├─┼┼─┼┼─┼┼─┼┤ 4L 4s (tetrawood) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Scales with 3 periods

This page lists all moment of symmetry scales in 12edo.

Single-period MOS scales

Generators 7\12 and 5\12
Step visualization MOS (name) Step sizes Step ratio
├──────┼────┤ 1L 1s 7, 5 7:5
├─┼────┼────┤ 2L 1s 5, 2 5:2
├─┼─┼──┼─┼──┤ 2L 3s 3, 2 3:2
├─┼─┼─┼┼─┼─┼┤ 5L 2s (diatonic) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1
Generators 11\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──────────┼┤ 1L 1s 11, 1 11:1
├─────────┼┼┤ 1L 2s 10, 1 10:1
├────────┼┼┼┤ 1L 3s 9, 1 9:1
├───────┼┼┼┼┤ 1L 4s 8, 1 8:1
├──────┼┼┼┼┼┤ 1L 5s (antimachinoid) 7, 1 7:1
├─────┼┼┼┼┼┼┤ 1L 6s (onyx) 6, 1 6:1
├────┼┼┼┼┼┼┼┤ 1L 7s (antipine) 5, 1 5:1
├───┼┼┼┼┼┼┼┼┤ 1L 8s (antisubneutralic) 4, 1 4:1
├──┼┼┼┼┼┼┼┼┼┤ 1L 9s (antisinatonic) 3, 1 3:1
├─┼┼┼┼┼┼┼┼┼┼┤ 1L 10s 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Multi-period MOS scales

2 periods

Generators 5\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├────┼┼────┼┤ 2L 2s 5, 1 5:1
├───┼┼┼───┼┼┤ 2L 4s (malic) 4, 1 4:1
├──┼┼┼┼──┼┼┼┤ 2L 6s (subaric) 3, 1 3:1
├─┼┼┼┼┼─┼┼┼┼┤ 2L 8s (jaric) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

3 periods

Generators 3\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──┼┼──┼┼──┼┤ 3L 3s (triwood) 3, 1 3:1
├─┼┼┼─┼┼┼─┼┼┤ 3L 6s (tcherepnin) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

4 periods

Generators 2\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├─┼┼─┼┼─┼┼─┼┤ 4L 4s (tetrawood) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Scales with 4 periods

This page lists all moment of symmetry scales in 12edo.

Single-period MOS scales

Generators 7\12 and 5\12
Step visualization MOS (name) Step sizes Step ratio
├──────┼────┤ 1L 1s 7, 5 7:5
├─┼────┼────┤ 2L 1s 5, 2 5:2
├─┼─┼──┼─┼──┤ 2L 3s 3, 2 3:2
├─┼─┼─┼┼─┼─┼┤ 5L 2s (diatonic) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1
Generators 11\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──────────┼┤ 1L 1s 11, 1 11:1
├─────────┼┼┤ 1L 2s 10, 1 10:1
├────────┼┼┼┤ 1L 3s 9, 1 9:1
├───────┼┼┼┼┤ 1L 4s 8, 1 8:1
├──────┼┼┼┼┼┤ 1L 5s (antimachinoid) 7, 1 7:1
├─────┼┼┼┼┼┼┤ 1L 6s (onyx) 6, 1 6:1
├────┼┼┼┼┼┼┼┤ 1L 7s (antipine) 5, 1 5:1
├───┼┼┼┼┼┼┼┼┤ 1L 8s (antisubneutralic) 4, 1 4:1
├──┼┼┼┼┼┼┼┼┼┤ 1L 9s (antisinatonic) 3, 1 3:1
├─┼┼┼┼┼┼┼┼┼┼┤ 1L 10s 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Multi-period MOS scales

2 periods

Generators 5\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├────┼┼────┼┤ 2L 2s 5, 1 5:1
├───┼┼┼───┼┼┤ 2L 4s (malic) 4, 1 4:1
├──┼┼┼┼──┼┼┼┤ 2L 6s (subaric) 3, 1 3:1
├─┼┼┼┼┼─┼┼┼┼┤ 2L 8s (jaric) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

3 periods

Generators 3\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──┼┼──┼┼──┼┤ 3L 3s (triwood) 3, 1 3:1
├─┼┼┼─┼┼┼─┼┼┤ 3L 6s (tcherepnin) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

4 periods

Generators 2\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├─┼┼─┼┼─┼┼─┼┤ 4L 4s (tetrawood) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Scales with 6 periods

This page lists all moment of symmetry scales in 12edo.

Single-period MOS scales

Generators 7\12 and 5\12
Step visualization MOS (name) Step sizes Step ratio
├──────┼────┤ 1L 1s 7, 5 7:5
├─┼────┼────┤ 2L 1s 5, 2 5:2
├─┼─┼──┼─┼──┤ 2L 3s 3, 2 3:2
├─┼─┼─┼┼─┼─┼┤ 5L 2s (diatonic) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1
Generators 11\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──────────┼┤ 1L 1s 11, 1 11:1
├─────────┼┼┤ 1L 2s 10, 1 10:1
├────────┼┼┼┤ 1L 3s 9, 1 9:1
├───────┼┼┼┼┤ 1L 4s 8, 1 8:1
├──────┼┼┼┼┼┤ 1L 5s (antimachinoid) 7, 1 7:1
├─────┼┼┼┼┼┼┤ 1L 6s (onyx) 6, 1 6:1
├────┼┼┼┼┼┼┼┤ 1L 7s (antipine) 5, 1 5:1
├───┼┼┼┼┼┼┼┼┤ 1L 8s (antisubneutralic) 4, 1 4:1
├──┼┼┼┼┼┼┼┼┼┤ 1L 9s (antisinatonic) 3, 1 3:1
├─┼┼┼┼┼┼┼┼┼┼┤ 1L 10s 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

Multi-period MOS scales

2 periods

Generators 5\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├────┼┼────┼┤ 2L 2s 5, 1 5:1
├───┼┼┼───┼┼┤ 2L 4s (malic) 4, 1 4:1
├──┼┼┼┼──┼┼┼┤ 2L 6s (subaric) 3, 1 3:1
├─┼┼┼┼┼─┼┼┼┼┤ 2L 8s (jaric) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

3 periods

Generators 3\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├──┼┼──┼┼──┼┤ 3L 3s (triwood) 3, 1 3:1
├─┼┼┼─┼┼┼─┼┼┤ 3L 6s (tcherepnin) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1

4 periods

Generators 2\12 and 1\12
Step visualization MOS (name) Step sizes Step ratio
├─┼┼─┼┼─┼┼─┼┤ 4L 4s (tetrawood) 2, 1 2:1
├┼┼┼┼┼┼┼┼┼┼┼┤ 12edo 1, 1 1:1
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