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 |