22edo is a musical tuning system, alternatively known as 22-tone equal temperament (22-tet) and 22 equal divisions of the octave. This page gathers together some useful resources for 22edo.

Links

22edo, Xenharmonic Wiki

22edo tetrachords, Xenharmonic Wiki

22edo modes, Xenharmonic Wiki

Tuning, Tonality, and Twenty-Two-Tone Temperament, Paul Erlich

Triads

Sus2
0 4 13

Subminor
0 5 13

Minor
0 6 13

Major
0 7 13

Supermajor
0 8 13

Sus4
0 9 13

Tetrads

Subminor
0 5 13 18

Minor
0 6 13 19

Major
0 7 13 20

Supermajor
0 8 13 21

Subminor-minor
0 5 13 19

Subminor-major
0 5 13 20

Subminor-supermajor
0 5 13 21

Minor-subminor
0 6 13 18

Minor-major
0 6 13 20

Minor-supermajor
0 6 13 21

Major-subminor
0 7 13 18

Major-minor
0 7 13 19

Major-supermajor
0 7 13 21

Supermajor-subminor
0 8 13 18

Supermajor-minor
0 8 13 19

Supermajor-major
0 8 13 20

Other chords

Harmonics 4:5:6:7 (barbershop seventh)
0 7 13 18

Harmonics 4:5:6:7:9:11 (a beloved chord)
0 7 13 18 26 32

Harmonics 8:10:12:15:18:11 (maj9 plus 11th harmonic)
0 7 13 20 26 32

Harmonics 3:5:7
0 16 27

Harmonics 4:7:9:11 (machine)
0 18 26 32

Scale fragments

Overtonal pentachord (harmonics 8:9:10:11:12)
4 3 3 3

Even tetrachord
3 3 3

Superpyth major tetrachord
4 4 1

Superpyth minor tetrachord
4 1 4

Superpyth phrygian tetrachord
1 4 4

MOS regular temperaments

superpyth[5]
4 5 4 4 5

superpyth[7]
4 4 1 4 4 4 1

pajara[10]
(Static symmetrical major mode in Paul Erlich’s naming scheme)
2 2 3 2 2 2 2 3 2 2

porcupine[7]
3 3 3 4 3 3 3

porcupine[8]
3 3 3 3 1 3 3 3

orwell[5]
5 5 2 5 5

orwell[9]
3 2 3 2 2 3 2 3 2

astrology[6]
4 3 4 4 3 4

machine[6] (11edo)
4 4 4 4 4 2

orgone[7] (11edo)
4 2 4 2 4 2 4

Other nice scales

Subminor hexatonic
4 1 4 4 5 4

Supermajor pentatonic
8 1 4 8 1

Zarlino/Ptolemy diatonic
4 3 2 4 3 4 2

A 12-note subset for standard keyboards, starting on C (all intervals are 2 degrees, except E-F and B-C which are 1 degree each)
2 2 2 2 1 2 2 2 2 2 2 1