List of edo-distinct 22et rank two temperaments

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	Comma list
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	Comma list
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	Comma list
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	Comma list
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