List of edo-distinct 15et rank two temperaments

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The temperaments listed are 15edo-distinct, meaning that they are all different even if tuned in 15edo. The ordering is by increasing complexity of 6/5. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Period,
generator
Name Complexity Comma list
15, 4 Hanson 2.685 15552/15625
15, 2 Porcupine 1.663 250/243
5, 1 Augmented 1.549 128/125
15, 1 Valentine 4.056 1990656/1953125
3, 1 Blackwood 1.767 256/243
5, 2 Vinegar 4.599 16000000/14348907
15, 7 Progress 2.877 32768/30375

7-limit temperaments

Period,
generator
Name Complexity Comma list
15, 4 Keemun 2.280 49/48 126/125
15, 2 Opossum 1.895 28/27 126/125
5, 1 Augene 2.336 64/63 126/125
15, 1 Nautilus 2.943 49/48 250/243
3, 1 Blacksmith 1.526 28/27 49/48
5, 2 Triforce 2.529 49/48 128/125
15, 7 Kangaroo 2.626 28/27 1029/1000

11-limit temperaments

Period,
generator
Name Complexity Comma list
15, 4 Darjeeling 2.347 49/48 55/54 77/75
15, 2 Opossum 1.692 28/27 55/54 77/75
5, 1 Inflated 2.102 28/27 55/54 128/125
15, 1 Nautilus 2.548 49/48 55/54 100/99
3, 1 Blacksmith 1.825 28/27 49/48 55/54
5, 2 Triforce 2.201 49/48 56/55 77/75
15, 7 Progress 2.399 56/55 64/63 77/75

13-limit temperaments

Period,
generator
Name Complexity Comma list
15, 4 Darjeeling 2.300 49/48 55/54 66/65 77/75
15, 2 Opossum 1.655 28/27 40/39 55/54 66/65
5, 1 Augene 2.061 40/39 56/55 64/63 66/65
15, 1 Belauensis 2.391 40/39 49/48 55/54 66/65
3, 1 Blacksmith 1.777 28/27 40/39 49/48 55/54
5, 2 Triforce 2.105 49/48 56/55 66/65 77/75
15, 7 Kangaroo 2.301 28/27 40/39 77/75 147/143