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 (Manual)

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 (Gramitonic)

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 (Onyx)

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 (Pine)

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

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 (Malic)

3 5 3 3 5 3
3 3 5 3 3 5
5 3 3 5 3 3

8 notes MOS, 6L 2s (Ekic)

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 (Pentic)

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 (P-Chromatic)

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

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

Subsets of 17 notes MOS

  • Subminor Blues – 5 4 2 2 5 4

Pajara/Srutal/Pajarous

10 notes

"Symmetrical" modes are MOS, 2L 8s (Jaric); "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 (Telluric)

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 (Citric)

5 1 5 5 1 5
5 5 1 5 5 1
1 5 5 1 5 5

10 notes MOS, 4L 6s (Lime)

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 (Citric)

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 (Lemon)

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 (Sephiroid)

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


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