22edo modes
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Some modes available in 22edo. Please add more, discovered or newly-composed! Note also that 22edo can play all 11edo modes as well.
Orwell
5 notes MOS, 4L+1s (Grumpy pentatonic)
| 2 | 5 | 5a | 5 | 5 |
| 5 | 2 | 5 | 5 | 5 |
| 5 | 5 | 2 | 5 | 5 |
| 5 | 5 | 5 | 2 | 5 |
| 5 | 5 | 5 | 5 | 2 |
9 notes MOS, 4L+5s (fair bug)
| 2 3 2 3 2 3 2 3 2 | |
| 3 2 3 2 3 2 3 2 2 | * |
| 2 3 2 3 2 3 2 2 3 | |
| 3 2 3 2 3 2 2 3 2 | |
| 2 3 2 3 2 2 3 2 3 | |
| 3 2 3 2 2 3 2 3 2 | |
| 2 3 2 2 3 2 3 2 3 | |
| 3 2 2 3 2 3 2 3 2 | |
| 2 2 3 2 3 2 3 2 3 |
*Audio example:
13 notes MOS, 9L+4s
| 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 |
| 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 |
| 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 |
| 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 |
| 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 |
| 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 |
| 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 |
| 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 |
| 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 |
| 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 |
| 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 |
| 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 |
| 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 |
Porcupine
See also Porcupine Temperament Modal Harmony for many more MODMOS modes.
7 notes MOS, 1L+6s (Happy heptatonic)
| 3 3 3 3 3 3 4 | Magical seventh mode | |
| 3 3 3 3 3 4 3 | Diminished | |
| 3 3 3 3 4 3 3 | Diminished | |
| 3 3 3 4 3 3 3 | symmetric minor ("dorian") | * |
| 3 3 4 3 3 3 3 | bright minor | |
| 3 4 3 3 3 3 3 | dark major | |
| 4 3 3 3 3 3 3 | bright otonal major | # |
*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 melodic major) - Porcupine[7] 6|0 #6 #7: 4 3 3 3 4 3 2
- Porcupine bright major #7 (Porcupine harmonic major) - Porcupine[7] 6|0 #7: 4 3 3 3 3 4 2
- Porcupine bright minor #2 (Porcupine harmonic minor) - Porcupine[7] 4|2 #2: 4 2 4 3 3 3 3 (mode of bright major #7)
- Porcupine dark minor #2 (Porcupine melodic minor) - Porcupine[7] 3|3 #2: 4 2 3 4 3 3 3 (inverse of bright major #6 #7)
- "JI" major, Zarlino/Ptolemy diatonic, Ma grama - Porcupine[7] 6|0 b4 #7: 4 3 2 4 3 4 2
- "JI" minor, inverse of Zarlino/Ptolemy diatonic - Porcupine[7] 3|3 #2 b6: 4 2 3 4 2 4 3
8 notes MOS, 7L+1s (Grumpy octatonic)
| 3 3 3 3 3 3 3 1 | |
| 3 3 3 3 3 3 1 3 | |
| 3 3 3 3 3 1 3 3 | |
| 3 3 3 3 1 3 3 3 | kind of minor |
| 3 3 3 1 3 3 3 3 | kind of minor |
| 3 3 1 3 3 3 3 3 | both minor and major |
| 3 1 3 3 3 3 3 3 | kind of major |
| 1 3 3 3 3 3 3 3 | kind of major |
MODMOS of 8 notes MOS
- Pinetone harmonic diminished, Porcupine[8] 2|5 #5: 3 3 1 5 1 3 3 3
15 notes MOS, 7L+8s
| 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 |
| 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1 |
| 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 |
| 2 1 2 1 2 1 2 1 2 1 2 1 1 2 1 |
| 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 |
| 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 |
| 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 |
| 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 |
| 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 |
| 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 |
| 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 |
| 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 |
| 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 |
| 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1 |
| 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2 |
Hedgehog
6 notes MOS, 2L+4s (Rice hexatonic)
| 3 | 5 | 3 | 3 | 5 | 3 |
| 3 | 3 | 5 | 3 | 3 | 5 |
| 5 | 3 | 3 | 5 | 3 | 3 |
8 notes MOS, 6L+2s (Biggie octatonic)
| 3 3 3 2 3 3 3 2 |
| 3 3 2 3 3 3 2 3 |
| 3 2 3 3 3 2 3 3 |
| 2 3 3 3 2 3 3 3 |
14 notes MOS, 8L+6s
| 2 1 2 1 2 1 2 2 1 2 1 2 1 2 |
| 1 2 1 2 1 2 2 1 2 1 2 1 2 2 |
| 2 1 2 1 2 2 1 2 1 2 1 2 2 1 |
| 1 2 1 2 2 1 2 1 2 1 2 2 1 2 |
| 2 1 2 2 1 2 1 2 1 2 2 1 2 1 |
| 1 2 2 1 2 1 2 1 2 2 1 2 1 2 |
| 2 2 1 2 1 2 1 2 2 1 2 1 2 1 |
Superpyth
5 notes MOS, 2L+3s (classic pentatonic)
| 4 | 5 | 4 | 5 | 4 |
| 4 | 4 | 5 | 4 | 5 |
| 5 | 4 | 4 | 5 | 4 |
| 4 | 5 | 4 | 4 | 5 |
| 5 | 4 | 5 | 4 | 4 |
7 notes MOS, 5L+2s (diatonic)
| 4 4 1 4 4 4 1 | Major (Ionian) |
| 4 1 4 4 4 1 4 | Dorian |
| 1 4 4 4 1 4 4 | Phrygian |
| 4 4 4 1 4 4 1 | Lydian |
| 4 4 1 4 4 1 4 | Mixolydian |
| 4 1 4 4 1 4 4 | Minor (Aeolian) |
| 1 4 4 1 4 4 4 | Locrian |
MODMOS of 7 notes MOS
- Superpyth melodic minor - Superpyth[7] 5|1 b3 - 4 1 4 4 4 4 1
- Superpyth harmonic minor - Superpyth[7] 2|4 #7 - 4 1 4 4 1 7 1
- Superpyth harmonic major - Superpyth[7] 5|1 b6 - 4 4 1 4 1 7 1 (inverse of harmonic minor)
- Superpyth double harmonic major - Superpyth[7] 5|1 b2 b6 - 1 7 1 4 1 7 1
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
12 notes MOS, 5L+7s
| 1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 |
| 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 |
| 3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 |
| 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 |
| 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 |
| 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 |
| 1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 |
| 3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 |
| 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 |
| 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 |
| 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 |
| 3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 |
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 |
Subsets of 17 notes MOS
- Subminor Blues - 5 4 2 2 5 4
Pajara/Srutal/Pajarous
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 | * |
| 2 2 3 2 2 2 2 3 2 2 | Static Symmetrical Major | |
| 2 3 2 2 2 2 2 3 2 2 | Alternate Pentachordal Major | |
| 2 3 2 2 2 2 3 2 2 2 | Dynamic Symmetrical Major | |
| 2 2 2 3 2 2 2 2 2 3 | Standard Pentachordal Minor | |
| 2 2 2 3 2 2 2 2 3 2 | Static Symmetrical Minor | |
| 2 2 2 2 3 2 2 2 3 2 | Alternate Pentachordal Minor | |
| 2 2 2 2 3 2 2 2 2 3 | Dynamic Symmetrical Minor |
*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 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 |
| 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 |
| 2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 |
| 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 |
| 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 |
| 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 |
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
Doublewide/Fleetwood
6 notes MOS, 4L+2s (bicycle)
| 5 | 1 | 5 | 5 | 1 | 5 |
| 5 | 5 | 1 | 5 | 5 | 1 |
| 1 | 5 | 5 | 1 | 5 | 5 |
10 notes MOS, 4L+6s (fair bicycle)
| 1 | 4 | 1 | 4 | 1 | 1 | 4 | 1 | 4 | 1 |
| 1 | 1 | 4 | 1 | 4 | 1 | 1 | 4 | 1 | 4 |
| 4 | 1 | 1 | 4 | 1 | 4 | 1 | 1 | 4 | 1 |
| 1 | 4 | 1 | 1 | 4 | 1 | 4 | 1 | 1 | 4 |
| 4 | 1 | 4 | 1 | 1 | 4 | 1 | 4 | 1 | 1 |
14 notes MOS, 4L+10s
| 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 |
| 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 |
| 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 |
| 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 |
| 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 |
| 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 |
| 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 |
18 notes MOS
| 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1 |
Astrology
6 notes MOS, 4L+2s (bicycle)
| 4 | 3 | 4 | 4 | 3 | 4 | * |
| 4 | 4 | 3 | 4 | 4 | 3 | |
| 3 | 4 | 4 | 3 | 4 | 4 |
*Audio example:
10 notes MOS, 6L+4s (unfair bicycle)
| 3 | 1 | 3 | 1 | 3 | 3 | 1 | 3 | 1 | 3 |
| 3 | 3 | 1 | 3 | 1 | 3 | 3 | 1 | 3 | 1 |
| 1 | 3 | 3 | 1 | 3 | 1 | 3 | 3 | 1 | 3 |
| 3 | 1 | 3 | 3 | 1 | 3 | 1 | 3 | 3 | 1 |
| 1 | 3 | 1 | 3 | 3 | 1 | 3 | 1 | 3 | 3 |
16 notes MOS
| 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 |
Magic/Telepathy
7 notes MOS, 3L+4s (mosh)
| 1 | 6 | 1 | 6 | 1 | 6 | 1 |
| 1 | 1 | 6 | 1 | 6 | 1 | 6 |
| 6 | 1 | 1 | 6 | 1 | 6 | 1 |
| 1 | 6 | 1 | 1 | 6 | 1 | 6 |
| 6 | 1 | 6 | 1 | 1 | 6 | 1 |
| 1 | 6 | 1 | 6 | 1 | 1 | 6 |
| 6 | 1 | 6 | 1 | 6 | 1 | 1 |
10 notes MOS, 3L+7s (fair mosh)
| 1 | 5 | 1 | 1 | 5 | 1 | 1 | 1 | 5 | 1 |
| 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 | 1 | 5 |
| 5 | 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 | 1 |
| 1 | 5 | 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 |
| 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 | 5 | 1 |
| 1 | 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 | 5 |
| 5 | 1 | 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 |
| 1 | 5 | 1 | 1 | 1 | 5 | 1 | 1 | 5 | 1 |
| 1 | 1 | 5 | 1 | 1 | 1 | 5 | 1 | 1 | 5 |
| 5 | 1 | 1 | 5 | 1 | 1 | 1 | 5 | 1 | 1 |
13 notes MOS, 3L+10s
| 1 | 1 | 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 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 |
| 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 |
| 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 |
| 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 |
| 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 |
| 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 |
| 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 |
| 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 |
| 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 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
- Marvel double harmonic major (subset of Pajara[12] and pentachordal decatonic): 2 5 2 4 2 5 2
- Marvel augmented nonatonic: 2 3 2 2 4 2 2 3 2
- Marvel double harmonic nonatonic (subset of pentachordal decatonic): 2 3 2 2 4 2 3 2 2, 2 2 3 2 4 2 2 3 2
- Marvel hexatonic: 5 2 6 2 5 2
- Marvel double harmonic hexatonic (subset of Marvel double harmonic major): 2 5 2 6 5 2, 2 5 6 2 5 2
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"/Pinetone major pentatonic: 4 3 6 3 6
- "just" melodic minor: 4 2 3 4 3 4 2
- "just"/Pinetone 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, 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
- 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
- Freiporc
- Kai Lugheidh's mode: 2 5 3 3 5 2 2
- Magnetosphere scale: 2 5 6 4 5 - approximated from Hexany 1728
- Mushroom: 5 4 4 1 8 - approximated from 30afdo
- Starship: 2 5 2 4 5 4 - approximated from 68afdo
- Volcanic: 2 5 6 5 4 - approximated from 16afdo