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 |