22edo modes: Difference between revisions
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Revision as of 10:50, 8 January 2023
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 | 5 | 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 |
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 |
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 |
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
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 (Aolian) |
| 1 4 4 1 4 4 4 | Locrian |
5-or7-limitSuperpyth/11-limitSuprapyth[5]
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 |
5-or7-limitSuperpyth/11-limitSuprapyth[12]
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
Pajara
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 |
Srutal/Pajara/Pajarous[12]
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 |
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 |
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 |
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 |
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 |