List of 19et rank two temperaments by badness
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Below are listed rank-two temperaments supported by the 19edo patent val, below the indicated cutoff in TE badness.
See also List of 19et rank two temperaments by complexity.
5-limit temperaments
Listed is the TE logflat badness times 1000 for six temperaments with badness less than 0.1.
# | Name | Badness | Comma list |
---|---|---|---|
1 | Meantone | 7.381 | 81/80 |
2 | Hanson | 13.234 | 15625/15552 |
3 | Sensipent | 35.22 | 78732/78125 |
4 | Magic | 39.163 | 3125/3072 |
5 | Egads | 41.819 | [-36 -52 51⟩ |
6 | Parakleismic | 43.279 | 1224440064/1220703125 |
7 | Enneadecal | 47.845 | 19073486328125/19042491875328 |
8 | Negri | 86.856 | 16875/16384 |
7-limit temperaments
Listed is the TE badness times 1000 for 18 temperaments with badness less than 0.06.
# | Name | Badness | Commas |
---|---|---|---|
1 | Enneadecal | 10.954 | 4375/4374 703125/702464 |
2 | Meantone | 13.707 | 81/80 126/125 |
3 | Magic | 18.918 | 225/224 245/243 |
4 | Catakleismic | 21.501 | 225/224 4375/4374 |
5 | Sensi | 25.622 | 126/125 245/243 |
6 | Negri | 26.483 | 49/48 225/224 |
7 | Godzilla | 26.747 | 49/48 81/80 |
8 | Keemun | 27.408 | 49/48 126/125 |
9 | Parakleismic | 27.431 | 3136/3125 4375/4374 |
10 | Flattone | 38.553 | 81/80 525/512 |
11 | Unicorn | 40.913 | 126/125 10976/10935 |
12 | Liese | 46.706 | 81/80 686/675 |
13 | Clyde | 47.261 | 245/243 3136/3125 |
14 | Subpental | 54.303 | 3136/3125 19683/19600 |
15 | Acrokleismic | 56.184 | 4375/4374 2202927104/2197265625 |
16 | Muggles | 56.206 | 126/125 525/512 |
17 | Sensei | 59.218 | 225/224 78732/78125 |
18 | Triton | 59.245 | 225/224 1029/1000 |
11-limit temperaments
Listed is the TE badness times 1000 for 28 temperaments with badness less than 0.05.
# | Name | Badness | Comma list |
---|---|---|---|
1 | Magic | 20.352 | 100/99 225/224 245/243 |
2 | Meanenneadecal | 21.423 | 45/44 56/55 81/80 |
3 | Meanpop | 21.543 | 81/80 126/125 540/539 |
4 | Catakleismic | 21.849 | 225/224 385/384 4375/4374 |
5 | Negri | 26.190 | 45/44 49/48 56/55 |
6 | Keemun | 27.410 | 49/48 56/55 100/99 |
7 | Sensis | 28.680 | 56/55 100/99 245/243 |
8 | Godzilla | 28.947 | 45/44 49/48 81/80 |
9 | Flattone | 33.839 | 45/44 81/80 385/384 |
10 | Baragon | 35.673 | 49/48 56/55 81/80 |
11 | Undevigintone | 36.387 | 49/48 81/80 126/125 |
12 | Acrokleismic | 36.878 | 4375/4374 41503/41472 172032/171875 |
13 | Sensor | 37.942 | 126/125 245/243 385/384 |
14 | Negril | 38.679 | 49/48 100/99 225/224 |
15 | Alicorn | 39.156 | 126/125 540/539 896/891 |
16 | Horcrux | 39.282 | 45/44 56/55 245/243 |
18 | Qeema | 40.056 | 45/44 49/48 126/125 |
19 | Liesel | 40.721 | 56/55 81/80 540/539 |
20 | Paradigmic | 41.720 | 540/539 896/891 3136/3125 |
21 | Enneadecal | 43.734 | 540/539 4375/4374 16384/16335 |
22 | Cataleptic | 44.335 | 100/99 225/224 864/847 |
23 | Subpental | 45.352 | 540/539 3136/3125 8019/8000 |
24 | Triton | 45.675 | 45/44 56/55 1029/1000 |
25 | Clyde | 47.417 | 245/243 385/384 3136/3125 |
26 | Muggles | 48.038 | 45/44 126/125 385/384 |
28 | Parakleismic | 49.711 | 385/384 3136/3125 4375/4374 |
13-limit temperaments
Listed is the TE badness times 1000 for 46 temperaments with badness less than 0.04.
# | Name | Badness | Comma list |
---|---|---|---|
1 | Catakleismic | 16.883 | 169/168 225/224 325/324 385/384 |
2 | Negri | 17.833 | 45/44 49/48 56/55 78/77 |
3 | Sensis | 20.017 | 56/55 78/77 91/90 100/99 |
4 | Meanpop | 20.883 | 81/80 105/104 144/143 196/195 |
5 | Meanenneadecal | 21.182 | 45/44 56/55 78/77 81/80 |
6 | Magic | 21.509 | 100/99 105/104 144/143 196/195 |
7 | Flattone | 22.260 | 45/44 65/64 78/77 81/80 |
8 | Godzilla | 22.503 | 45/44 49/48 78/77 81/80 |
9 | Kema | 22.749 | 49/48 56/55 91/90 100/99 |
10 | Undevigintone | 22.933 | 49/48 65/64 81/80 91/90 |
11 | Alicorn | 23.667 | 126/125 144/143 196/195 676/675 |
12 | Negril | 24.383 | 49/48 65/64 91/90 875/858 |
13 | Vincenzo | 24.763 | 45/44 56/55 65/64 81/80 |
14 | Sensor | 25.575 | 91/90 126/125 169/168 385/384 |
15 | Sorcery | 25.829 | 65/64 78/77 91/90 100/99 |
17 | Liesel | 27.304 | 56/55 78/77 81/80 91/90 |
18 | Cataleptic | 27.343 | 78/77 100/99 144/143 676/675 |
19 | Meanplop | 27.666 | 65/64 81/80 126/125 169/165 |
20 | Qeema | 29.419 | 45/44 49/48 78/77 126/125 |
21 | Keemun | 29.749 | 49/48 56/55 78/77 100/99 |
22 | Muggles | 30.386 | 45/44 65/64 78/77 126/125 |
24 | Horcrux | 31.938 | 45/44 56/55 78/77 875/864 |
27 | Glamour | 33.317 | 45/44 56/55 65/64 507/500 |
29 | Sycamore | 34.295 | 91/90 100/99 169/168 385/384 |
34 | Paradigmic | 35.781 | 169/168 325/324 540/539 832/825 |
35 | Lisa | 36.144 | 45/44 81/80 91/88 147/143 |
45 | Rhinoceros | 39.343 | 49/48 78/77 100/99 126/121 |