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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

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

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

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

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