List of edo-distinct 12et rank two temperaments

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The temperaments listed are 12edo-distinct, meaning that they are all different even if tuned in 12edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity supported by the 13-limit patent val was chosen as the representative for each class of edo-distinctness. For lower prime limits, see list of edo-distinct 12f rank two temperaments.

13-limit temperaments

Period, generator Wedgie Name Complexity Commas
12, 5 <<1 4 -2 6 8 4 -6 6 9 -16 0 4 24 30 6]] 1.613 26/25 36/35 80/77 91/88
6, 1 <<2 -4 -4 0 4 -11 -12 -7 -1 2 14 24 14 26 14]] 1.753 45/44 50/49 64/63 65/63
4, 1 <<3 0 6 6 0 -7 1 -1 -11 14 14 0 -4 -22 -22]] Augustus 1.497 26/25 36/35 45/44 56/55
3, 1 <<4 4 4 0 8 -3 -5 -14 -2 -2 -14 4 -14 8 28]] 1.536 26/25 36/35 50/49 56/55
12, 1 <<5 8 2 6 4 1 -11 -8 -12 -18 -14 -20 10 4 -8]] 1.944 36/35 52/49 80/77 91/88
2, 1 <<6 0 0 0 0 -14 -17 -21 -22 0 0 0 0 0 0]] 2.193 26/25 50/49 91/88 125/121