List of 19et rank two temperaments by complexity
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Below are listed rank-two temperaments supported by the 19edo patent val, below the indicated cutoff in TE badness.
5-limit temperaments with badness below 0.1
Listed is the wedgie and the TE complexity for six temperaments with badness less than 0.1.
Rank | Wedgie | Name | Complexity | Commas |
1 | <<1 4 4]] | Meantone | 1.231 | 81/80 |
2 | <<5 1 -10]] | Magic | 2.417 | 3125/3072 |
3 | <<6 5 -6]] | Hanson | 2.685 | 15625/15552 |
4 | <<4 -3 -14]] | Negri | 2.739 | 16875/16384 |
5 | <<7 9 -2]] | Sensipent | 3.407 | 78732/78125 |
6 | <<13 14 -8]] | Parakleismic | 6.010 | 1224440064/1220703125 |
7 | <<19 19 -14]] | Enneadecal | 8.663 | 19073486328125/19042491875328 |
8 | <<51 52 -36]] | Egads | 23.328 | |-36 -52 51> |
7-limit temperaments with badness below 0.06
Listed is the wedgie and the TE complexity for six temperaments with badness less than 0.06.
Rank | Wedgie | Name | Complexity | Commas |
1 | <<2 8 1 8 -4 -20]] | Godzilla | 2.181 | 49/48 81/80 |
2 | <<1 4 10 4 13 12]] | Meantone | 2.205 | 81/80 126/125 |
3 | <<6 5 3 -6 -12 -7]] | Keemun | 2.280 | 49/48 126/125 |
4 | <<5 1 12 -10 5 25]] | Magic | 2.937 | 225/224 245/243 |
5 | <<1 4 -9 4 -17 -32]] | Flattone | 2.987 | 81/80 525/512 |
6 | <<7 9 13 -2 1 5]] | Sensi | 3.080 | 126/125 245/243 |
7 | <<4 -3 2 -14 -8 13]] | Negri | 3.211 | 49/48 225/224 |
8 | <<3 12 11 12 9 -8]] | Liese | 3.211 | 81/80 686/675 |
9 | <<5 1 -7 -10 -25 -19]] | Muggles | 3.261 | 126/125 525/512 |
10 | <<3 -7 -8 -18 -21 1]] | Triton | 3.342 | 225/224 1029/1000 |
11 | <<6 5 22 -6 18 37]] | Catakleismic | 4.684 | 225/224 4375/4374 |
12 | <<8 13 23 2 14 17]] | Unicorn | 4.847 | 126/125 10976/10935 |
13 | <<12 10 25 -12 6 30]] | Clyde | 5.61 | 245/243 3136/3125 |
14 | <<7 9 32 -2 31 49]] | Sensei | 6.706 | 225/224 78732/78125 |
15 | <<13 14 35 -8 19 42]] | Parakleismic | 7.343 | 3136/3125 4375/4374 |
16 | <<14 18 45 -4 32 54]] | Subpental | 9.279 | 3136/3125 19683/19600 |
17 | <<19 19 57 -14 37 79]] | Enneadecal | 11.926 | 4375/4374 703125/702464 |
18 | <<32 33 92 -22 56 121]] | Acrokleismic | 19.245 | 4375/4374 2202927104/2197265625 |