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A chart of all possible 22edo tetrachords (28 altogether):
1-1-7
1-2-6
1-3-5
1-4-4
1-5-3
1-6-2
1-7-1
2-1-6
2-2-5
2-3-4
2-4-3
2-5-2
2-6-1

3-1-5
3-2-4
3-3-3
3-4-2
3-5-1


4-1-4
4-2-3
4-3-2
4-4-1



5-1-3
5-2-2
5-3-1




6-1-2
6-2-1





7-1-1







Tetrachord details:
tetrachord notation
steps in cents
interval names
solfege
notes
1-1-7
55 + 55 + 382
P1 d2 m2 P4
do di ra fa

1-2-6
55 + 109 + 327
P1 d2 N2 P4
do di ru fa

1-3-5
55 + 164 + 273
P1 d2 M2 P4
do di re fa

1-4-4
55 + 218 + 218
P1 d2 sm3 P4
do di ma fa
found in Superpyth Phrygian
1-5-3
55 + 273 + 164
P1 d2 m3 P4
do di me fa

1-6-2
55 + 327 + 109
P1 d2 M3 P4
do di mi fa

1-7-1
55 + 382 + 55
P1 d2 SM3 P4
do di mo fa

2-1-6
109 + 55 + 327
P1 m2 N2 P4
do ra ru fa

2-2-5
109 + 109 + 273
P1 m2 M2 P4
do ra re fa

2-3-4
109 + 164 + 218
P1 m2 sm3 P4
do ra ma fa

2-4-3
109 + 218 +165
P1 m2 m3 P4
do ra me fa

2-5-2
109 + 273 + 109
P1 m2 M3 P4
do ra mi fa

2-6-1
109 + 327 + 55
P1 m2 SM3 P4
do ra mo fa

3-1-5
164 + 55 + 273
P1 N2 M2 P4
do ru re fa

3-2-4
164 + 109 + 218
P1 N2 sm3 P4
do ru ma fa

3-3-3
164 + 164 +164
P1 N2 m3 P4
do ru me fa
perfectly even tetrachord, found in Porcupine temperament
3-4-2
164 + 218 + 109
P1 N2 M3 P4
do ru mi fa

3-5-1
164 + 273 + 55
P1 N2 SM3 P4
do ru mo fa

4-1-4
218 + 55 + 218
P1 M2 sm3 P4
do re ma fa
found in Superpyth Minor (& Dorian)
4-2-3
218 + 109 + 164
P1 M2 m3 P4
do re me fa

4-3-2
218 + 164 + 109
P1 M2 M3 P4
do re mi fa

4-4-1
218 + 218 + 55
P1 M2 SM3 P4
do re mo fa
found in Superpyth Major (& Mixolydian, & Lydian)
5-1-3
273 + 55 + 164
P1 sm3 m3 P4
do ma me fa

5-2-2
273 + 109 + 109
P1 sm3 M3 P4
do ma mi fa

5-3-1
273 + 164 + 55
P1 sm3 SM3 P4
do ma mo fa

6-1-2
327 + 55 + 109
P1 m3 M3 P4
do me mi fa

6-2-1
327 + 109 + 55
P1 m3 SM3 P4
do me mo fa

7-1-1
382 + 55 + 55
P1 M3 SM3 P4
do mi mo fa


Tetrachords in families:
sML
MsL
sLM
MLs
LsM
LMs
genus
name(s) / notes
1-1-7
1-7-1
7-1-1
enharmonic
close to Didymos's Enharmonic, 32/31 • 31/30 • 5/4.
1-2-6
2-1-6
1-6-2
2-6-1
6-1-2
6-2-1
chromatic

1-3-5
3-1-5
1-5-3
3-5-1
5-1-3
5-3-1
chromatic

2-2-5
2-5-2
5-2-2
chromatic

2-3-4
3-2-4
2-4-3
3-4-2
4-2-3
4-3-2
diatonic
similar in function to JI tetrachord 16/15 • 9/8 • 10/9, but altered
1-1-4
1-4-1
4-1-1
diatonic
SuperPyth
3-3-3
diatonic
Porcupine


See also: 17edo tetrachords, Tricesimoprimal Tetrachordal Tesseract.