Some modes available in 22edo. Please add more, discovered or newly-composed! Note also that 22edo can play all 11edo modes as well.
| 2
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5
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5
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5
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5
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| 5
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2
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5
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5
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5
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| 5
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5
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2
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5
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5
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| 5
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5
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5
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2
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5
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| 5
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5
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5
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5
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2
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| 2 3 2 3 2 3 2 3 2
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| 3 2 3 2 3 2 3 2 2
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*
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| 2 3 2 3 2 3 2 2 3
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| 3 2 3 2 3 2 2 3 2
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| 2 3 2 3 2 2 3 2 3
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| 3 2 3 2 2 3 2 3 2
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| 2 3 2 2 3 2 3 2 3
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| 3 2 2 3 2 3 2 3 2
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| 2 2 3 2 3 2 3 2 3
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*Audio example:
13 notes MOS, 9L+4s
| 1
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2
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2
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1
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2
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1
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2
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2
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1
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1
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1
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| 2
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1
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2
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2
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1
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2
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1
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2
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2
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2
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1
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2
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| 1
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2
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2
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1
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2
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2
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1
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2
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2
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2
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1
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2
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2
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| 2
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2
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1
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2
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2
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1
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2
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2
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2
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1
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2
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2
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1
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| 2
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1
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2
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2
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1
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2
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2
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2
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1
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2
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2
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1
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2
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| 1
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2
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2
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1
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2
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2
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2
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1
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2
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2
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1
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2
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2
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| 2
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2
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1
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2
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2
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2
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1
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2
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2
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1
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2
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2
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1
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| 2
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1
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2
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2
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2
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1
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2
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2
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1
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2
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2
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1
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2
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| 1
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2
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2
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2
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1
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2
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2
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1
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2
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2
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1
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2
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2
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| 2
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2
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2
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1
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2
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2
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1
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2
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2
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1
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2
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2
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1
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| 2
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2
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1
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2
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2
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1
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2
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2
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1
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2
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2
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1
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2
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| 2
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1
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2
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1
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2
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2
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1
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2
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2
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1
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2
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2
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See also Porcupine Temperament Modal Harmony for many more MODMOS modes.
| 3 3 3 3 3 3 4
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Magical seventh mode
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| 3 3 3 3 3 4 3
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Diminished
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| 3 3 3 3 4 3 3
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Diminished
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| 3 3 3 4 3 3 3
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symmetric minor ("dorian")
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*
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| 3 3 4 3 3 3 3
|
bright minor
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| 3 4 3 3 3 3 3
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dark major
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| 4 3 3 3 3 3 3
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bright otonal major
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#
|
*Audio example:
#Audio example:
MODMOS of 7 notes MOS
- Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7 4 3 3 3 3 2 4
- Porcupine bright major #6 #7 - Porcupine[7] 6|0 #6 #7 - 4 3 3 3 4 3 2
- Porcupine bright major #7 - Porcupine[7] 6|0 #7 - 4 3 3 3 3 4 2
- Porcupine bright minor #2 - Porcupine[7] 4|2 #2 4 2 4 3 3 3 3 (mode of bright major #7)
- Porcupine dark minor #2 - Porcupine[7] 3|3 #2 4 2 3 4 3 3 3 (inverse of bright major #6 #7)
| 3 3 3 3 3 3 3 1
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| 3 3 3 3 3 3 1 3
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| 3 3 3 3 3 1 3 3
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| 3 3 3 3 1 3 3 3
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kind of minor
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| 3 3 3 1 3 3 3 3
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kind of minor
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| 3 3 1 3 3 3 3 3
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both minor and major
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| 3 1 3 3 3 3 3 3
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kind of major
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| 1 3 3 3 3 3 3 3
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kind of major
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15 notes MOS, 7L+8s
| 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1
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| 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1
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| 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2
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| 2 1 2 1 2 1 2 1 2 1 2 1 1 2 1
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| 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2
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| 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1
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| 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2
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| 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1
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| 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2
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| 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1
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| 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2
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| 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1
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| 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2
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| 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1
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| 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2
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| 3
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5
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3
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3
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5
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3
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| 3
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3
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5
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3
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3
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5
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| 5
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3
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3
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5
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3
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3
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| 3 3 3 2 3 3 3 2
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| 3 3 2 3 3 3 2 3
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| 3 2 3 3 3 2 3 3
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| 2 3 3 3 2 3 3 3
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14 notes MOS, 8L+6s
| 2 1 2 1 2 1 2 2 1 2 1 2 1 2
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| 1 2 1 2 1 2 2 1 2 1 2 1 2 2
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| 2 1 2 1 2 2 1 2 1 2 1 2 2 1
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| 1 2 1 2 2 1 2 1 2 1 2 2 1 2
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| 2 1 2 2 1 2 1 2 1 2 2 1 2 1
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| 1 2 2 1 2 1 2 1 2 2 1 2 1 2
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| 2 2 1 2 1 2 1 2 2 1 2 1 2 1
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| 4
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5
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4
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5
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4
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| 4
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4
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5
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4
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5
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| 5
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4
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4
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5
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4
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| 4
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5
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4
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4
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5
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| 5
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4
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5
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4
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4
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| 4 4 1 4 4 4 1
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Major (Ionian)
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| 4 1 4 4 4 1 4
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Dorian
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| 1 4 4 4 1 4 4
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Phrygian
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| 4 4 4 1 4 4 1
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Lydian
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| 4 4 1 4 4 1 4
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Mixolydian
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| 4 1 4 4 1 4 4
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Minor (Aeolian)
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| 1 4 4 1 4 4 4
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Locrian
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Subsets of 7 notes MOS
- Manohari - 5 4 4 4 1 4
- Shailaja - 5 8 1 4 4
- Subminor hexatonic - 4 1 4 4 5 4
MODMOS of 7 notes MOS
- Superpyth double harmonic major - Superpyth[7] 5|1 b2 b6 - 1 7 1 4 1 7 1
- Superpyth harmonic major - Superpyth[7] 5|1 b6 - 4 4 1 4 1 7 1 (inverse of harmonic minor)
- Superpyth harmonic minor - Superpyth[7] 2|4 #7 - 4 1 4 4 1 7 1
- Superpyth melodic minor - Superpyth[7] 5|1 b3 - 4 1 4 4 4 4 1
12 notes MOS, 5L+7s
| 1
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3
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1
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3
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1
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3
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1
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1
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3
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1
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3
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1
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| 1
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1
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3
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1
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3
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1
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3
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1
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1
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3
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1
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3
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| 3
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1
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1
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3
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1
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3
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1
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3
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1
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1
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3
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1
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| 1
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3
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1
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1
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3
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1
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3
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1
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3
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1
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1
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3
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| 3
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1
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3
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1
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1
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3
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1
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3
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1
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3
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1
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1
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| 1
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3
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1
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3
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1
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1
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3
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1
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3
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1
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3
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1
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| 1
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1
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3
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1
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3
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1
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1
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3
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1
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3
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1
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3
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| 3
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1
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1
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3
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1
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3
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1
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1
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3
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1
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3
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1
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| 1
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3
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1
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1
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3
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1
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3
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1
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1
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3
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1
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3
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| 3
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1
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3
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1
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1
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3
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1
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3
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1
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1
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3
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1
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| 1
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3
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3
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1
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1
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3
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1
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3
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1
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1
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3
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| 3
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1
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3
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1
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3
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1
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1
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3
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1
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3
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1
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1
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Scala files for all 12 modes
Audio comparison of the 12 modes
17 notes MOS
| 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
|
10 notes
"Symmetrical" modes are MOS, 2L+8s (Rice decatonic); "Pentachordal" modes are not MOS.
(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)
| 2 2 3 2 2 2 3 2 2 2
|
Standard Pentachordal Major
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*
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| 2 2 3 2 2 2 2 3 2 2
|
Static Symmetrical Major
|
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| 2 3 2 2 2 2 2 3 2 2
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Alternate Pentachordal Major
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| 2 3 2 2 2 2 3 2 2 2
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Dynamic Symmetrical Major
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| 2 2 2 3 2 2 2 2 2 3
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Standard Pentachordal Minor
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| 2 2 2 3 2 2 2 2 3 2
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Static Symmetrical Minor
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| 2 2 2 2 3 2 2 2 3 2
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Alternate Pentachordal Minor
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| 2 2 2 2 3 2 2 2 2 3
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Dynamic Symmetrical Minor
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*Audio example:
MODMOS of 10 notes MOS
- Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 2 2 2
12 notes MOS, 10L+2s
| 2
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2
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1
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2
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2
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2
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2
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2
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1
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2
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2
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2
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| 2
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2
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2
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1
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2
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2
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2
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2
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2
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1
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2
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2
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| 2
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2
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2
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2
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1
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2
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2
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2
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2
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2
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1
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2
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| 2
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2
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2
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2
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2
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1
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2
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2
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2
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2
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2
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1
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| 1
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2
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2
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2
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2
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2
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1
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2
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2
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2
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2
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2
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| 2
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1
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2
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2
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2
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2
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2
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1
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2
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2
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2
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2
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MODMOS of 12 notes MOS
- Hexachordal dodecatonic - Pajara[12] 3|2 (2) b10 or Pajara[12] 2|3 (2) #4 - 2 2 2 1 2 2 2 2 1 2 2 2
| 5
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1
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5
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5
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1
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5
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| 5
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5
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1
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5
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5
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1
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| 1
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5
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5
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1
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5
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5
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| 1
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4
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1
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4
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1
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1
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4
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1
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4
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1
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| 1
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1
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4
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1
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4
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1
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1
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4
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1
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4
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| 4
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1
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1
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4
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1
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4
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1
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1
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4
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1
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| 1
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4
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1
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1
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4
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1
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4
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1
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1
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4
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| 4
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1
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4
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1
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1
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4
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1
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4
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1
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1
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14 notes MOS, 4L+10s
| 1
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3
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1
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1
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1
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3
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1
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1
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3
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1
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1
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1
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3
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1
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| 1
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1
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3
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1
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1
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1
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3
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1
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1
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3
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1
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1
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1
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3
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| 3
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1
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1
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3
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1
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1
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1
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3
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1
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1
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3
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1
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1
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1
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| 1
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3
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1
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1
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3
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1
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1
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1
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3
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1
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1
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3
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1
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1
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| 1
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1
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3
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1
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3
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1
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1
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1
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3
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1
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1
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3
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1
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| 1
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1
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1
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3
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1
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1
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3
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1
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1
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1
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3
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1
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1
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3
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| 3
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1
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1
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1
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3
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1
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1
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3
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1
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1
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1
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3
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1
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1
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18 notes MOS
| 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1
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| 4
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3
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4
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4
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3
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4
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*
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| 4
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4
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3
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4
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4
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3
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| 3
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4
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4
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3
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4
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4
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*Audio example:
| 3
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1
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3
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1
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3
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3
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1
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3
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1
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3
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| 3
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3
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1
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3
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1
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3
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3
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1
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3
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1
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| 1
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3
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1
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| 3
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1
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3
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1
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3
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1
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3
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3
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1
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| 1
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3
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1
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3
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3
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1
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3
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1
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3
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3
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16 notes MOS
| 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1
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| 1
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6
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1
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6
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1
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6
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1
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| 1
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1
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6
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1
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6
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1
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6
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| 6
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1
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1
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6
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1
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6
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1
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| 1
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6
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1
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1
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6
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1
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6
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| 6
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1
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6
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1
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1
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6
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1
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| 1
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6
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1
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6
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1
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1
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6
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| 6
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1
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6
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1
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6
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1
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1
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| 1
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5
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1
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1
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5
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1
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1
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1
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5
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1
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| 1
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1
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5
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1
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1
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5
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1
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1
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1
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5
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| 5
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1
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1
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5
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1
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1
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5
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1
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1
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1
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| 1
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5
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1
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1
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5
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1
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1
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5
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1
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1
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| 1
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1
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5
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1
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1
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5
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1
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1
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5
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1
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| 1
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1
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1
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5
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1
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1
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5
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1
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1
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5
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| 5
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1
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1
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1
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5
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1
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1
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5
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1
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| 1
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5
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5
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5
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1
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| 1
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1
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5
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1
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1
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1
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5
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1
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1
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5
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| 5
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1
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1
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5
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1
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1
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1
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5
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1
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1
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13 notes MOS, 3L+10s
| 1
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1
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4
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1
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1
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1
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4
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1
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1
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1
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4
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1
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1
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| 1
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1
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1
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4
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1
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1
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1
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4
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1
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1
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1
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4
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1
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| 1
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1
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1
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1
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4
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1
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1
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1
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4
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1
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1
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1
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4
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| 4
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1
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1
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1
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1
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4
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1
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1
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1
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4
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1
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1
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1
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| 1
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4
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1
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1
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1
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1
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4
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1
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1
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1
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4
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1
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1
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| 1
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1
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4
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1
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1
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1
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1
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4
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1
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1
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1
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4
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1
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| 1
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1
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1
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4
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1
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1
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1
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1
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4
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1
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1
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1
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4
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| 4
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1
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1
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1
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4
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1
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1
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1
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4
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| 1
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4
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1
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1
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4
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1
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4
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| 1
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4
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4
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4
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| 1
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4
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4
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1
|
4
|
| 4
|
1
|
1
|
1
|
4
|
1
|
1
|
1
|
4
|
1
|
1
|
1
|
1
|
| 1
|
4
|
1
|
1
|
1
|
4
|
1
|
1
|
1
|
4
|
1
|
1
|
1
|
16 notes MOS
| 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1
|
19 notes MOS
| 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
|
Marvel
Variations of major and minor
- "just" harmonic major - 4 3 2 4 2 5 2
- "just" harmonic minor - 4 2 3 4 2 5 2
- "just" major pentatonic - 4 3 6 3 6
- "just" melodic minor - 4 2 3 4 3 4 2
- "just" minor pentatonic (inverse of "just" major pentatonic) - 6 3 4 6 3
- tetrachordal major, Sa grama - 4 3 2 4 4 3 2
- inverse of tetrachordal major, "just"/tetrachordal minor - 4 2 3 4 2 3 4
- Zarlino/Ptolemy diatonic, "just" major, Ma grama - 4 3 2 4 3 4 2
- inverse of Zarlino/Ptolemy diatonic, natural minor - 4 2 3 4 2 4 3
Others
- 2.3.7.11 4-SN octatonic - 3 2 3 5 3 2 3 1
- Aurora scale - 2 5 6 4 5
- Blackdye / Syntonic dipentatonic - 1 3 2 3 1 3 2 3 1 3
- Chromatic tetrachord octave species - 2 2 5 4 2 2 5, 5 2 2 4 5 2 2, 2 5 2 4 2 5 2
- Enharmonic tetrachord octave species - 1 1 7 4 1 1 7, 7 1 1 4 7 1 1, 1 7 1 4 1 7 1
- Enharmonic trichord octave species - 2 7 4 2 7, 7 2 4 7 2
- Kai Lugheidh's mode - 2 5 3 3 5 2 2