The temperaments listed are 22edo-distinct, meaning that they are all different even if tuned in 22edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.
5-limit temperaments[edit]
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 22, 9
|
<<1 9 12]]
|
Superpyth
|
2.947
|
20480/19683
|
| 11, 2
|
<<2 -4 -11]]
|
Srutal
|
2.121
|
2048/2025
|
| 22, 3
|
<<3 5 1]]
|
Porcupine
|
1.663
|
250/243
|
| 11, 1
|
<<4 14 13]]
|
Comic
|
4.290
|
5120000/4782969
|
| 22, 7
|
<<5 1 -10]]
|
Magic
|
2.417
|
3072/3125
|
| 11, 3
|
<<16 -10 -53]]
|
Kwazy
|
10.454
|
9010162353515625/9007199254740992
|
| 22, 5
|
<<7 -3 -21]]
|
Orson
|
4.232
|
2109375/2097152
|
| 11, 5
|
<<8 6 -9]]
|
Doublewide
|
3.565
|
390625/373248
|
| 22, 1
|
<<13 7 -19]]
|
Chromo
|
5.860
|
1220703125/1146617856
|
| 11, 4
|
<<12 -2 -31]]
|
Wizard
|
6.558
|
2197265625/2147483648
|
| 2, 1
|
<<11 11 -8]]
|
Undeka
|
5.011
|
48828125/45349632
|
7-limit temperaments[edit]
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 22, 9
|
<<1 9 -2 12 -6 -30]]
|
Superpyth
|
2.874
|
64/63 245/243
|
| 11, 2
|
<<2 -4 -4 -11 -12 2]]
|
Pajara
|
1.953
|
50/49 64/63
|
| 22, 3
|
<<3 5 -6 1 -18 -28]]
|
Porcupine
|
2.819
|
64/63 250/243
|
| 11, 1
|
<<4 14 14 13 11 -7]]
|
Comic
|
3.815
|
50/49 2240/2187
|
| 22, 7
|
<<5 1 12 -10 5 25]]
|
Magic
|
2.937
|
225/224 245/243
|
| 11, 3
|
<<6 10 10 2 -1 -5]]
|
Hedgehog
|
2.784
|
50/49 245/243
|
| 22, 5
|
<<7 -3 8 -21 -7 27]]
|
Orwell
|
3.685
|
225/224 1728/1715
|
| 11, 5
|
<<8 6 6 -9 -13 -3]]
|
Doublewide
|
2.928
|
50/49 875/864
|
| 22, 1
|
<<9 15 4 3 -19 -33]]
|
Ceratitid
|
4.482
|
250/243 1728/1715
|
| 11, 4
|
<<10 2 2 -20 -25 -1]]
|
Astrology
|
4.127
|
50/49 3125/3072
|
| 2, 1
|
<<11 11 0 -8 -31 -31]]
|
Undeka
|
4.941
|
875/864 3200/3087
|
11-limit temperaments[edit]
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 22, 9
|
<<1 9 -2 -6 12 -6 -13 -30 -45 -10]]
|
Suprapyth
|
3.011
|
55/54 64/63 99/98
|
| 11, 2
|
<<2 -4 -4 -12 -11 -12 -26 2 -14 -20]]
|
Pajara
|
2.543
|
50/49 64/63 99/98
|
| 22, 3
|
<<3 5 -6 4 1 -18 -4 -28 -8 32]]
|
Porcupine
|
2.478
|
55/54 64/63 100/99
|
| 11, 1
|
<<4 -8 -8 -2 -22 -24 -17 4 23 22]]
|
Hemipaj
|
3.389
|
50/49 64/63 121/120
|
| 22, 7
|
<<5 1 12 14 -10 5 5 25 29 -2]]
|
Telepathy
|
2.864
|
55/54 99/98 176/175
|
| 11, 3
|
<<6 10 10 8 2 -1 -8 -5 -16 -12]]
|
Hedgehog
|
2.439
|
50/49 55/54 99/98
|
| 22, 5
|
<<7 -3 8 2 -21 -7 -21 27 15 -22]]
|
Orwell
|
3.242
|
99/98 121/120 176/175
|
| 11, 5
|
<<8 6 6 18 -9 -13 1 -3 21 30]]
|
Fleetwood
|
3.081
|
50/49 55/54 176/175
|
| 22, 1
|
<<9 15 4 12 3 -19 -12 -33 -24 20]]
|
Ceratitid
|
3.880
|
55/54 100/99 5324/5145
|
| 11, 4
|
<<10 2 2 6 -20 -25 -25 -1 7 10]]
|
Astrology
|
3.575
|
50/49 121/120 176/175
|
| 2, 1
|
<<11 11 0 0 -8 -31 -38 -31 -38 0]]
|
Undeka
|
4.657
|
100/99 352/343 385/384
|
13-limit temperaments[edit]
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 22, 9
|
<<1 9 -2 -6 -9 12 -6 -13 -18 -30 -45 -54 -10 -18 -9]]
|
Suprapyth
|
3.151
|
55/54 64/63 65/63 364/363
|
| 11, 2
|
<<2 -4 -4 10 4 -11 -12 9 -1 2 37 24 42 26 -23]]
|
Pajarous
|
2.481
|
50/49 55/54 64/63 65/63
|
| 22, 3
|
<<3 5 -6 4 -5 1 -18 -4 -19 -28 -8 -30 32 8 -32]]
|
Porkpie
|
2.487
|
55/54 64/63 65/63 100/99
|
| 11, 1
|
<<4 14 14 20 8 13 11 18 -2 -7 -2 -33 8 -29 -46]]
|
Comic
|
3.391
|
50/49 65/63 99/98 968/945
|
| 22, 7
|
<<5 1 12 14 -1 -10 5 5 -20 25 29 -6 -2 -47 -55]]
|
Telepathy
|
2.980
|
55/54 65/64 91/90 99/98
|
| 11, 3
|
<<6 10 10 8 12 2 -1 -8 -3 -5 -16 -9 -12 -3 12]]
|
Hedgehog
|
2.196
|
50/49 55/54 65/63 99/98
|
| 22, 5
|
<<7 -3 8 2 3 -21 -7 -21 -21 27 15 18 -22 -21 3]]
|
Blair
|
2.911
|
65/64 78/77 91/90 99/98
|
| 11, 5
|
<<8 6 6 18 16 -9 -13 1 -4 -3 21 15 30 23 -11]]
|
Fleetwood
|
2.861
|
50/49 55/54 65/63 176/175
|
| 22, 1
|
<<9 15 4 12 7 3 -19 -12 -22 -33 -24 -39 20 5 -20]]
|
Ceratitid
|
3.573
|
55/54 65/63 100/99 352/343
|
| 11, 4
|
<<10 2 2 6 -2 -20 -25 -25 -40 -1 7 -12 10 -13 -29]]
|
Astrology
|
3.495
|
50/49 65/64 78/77 121/120
|
| 2, 1
|
<<11 11 0 0 11 -8 -31 -38 -23 -31 -38 -15 0 31 38]]
|
Undeka
|
4.178
|
65/63 100/99 169/165 352/343
|