List of 15et rank two temperaments by badness

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Below are listed rank-two temperaments supported by the 15edo patent val, below the indicated cutoff in TE badness.

7-limit temperaments with badness below 0.06

Listed is the TE badness times 1000 for 15 temperaments with badness less than 0.06.

Rank Name Badness Commas
1 Augene 24.816 64/63 126/125
2 Blackwood 25.640 28/27 49/48
3 Keemun 27.408 49/48 126/125
4 Valentine 31.056 126/125 1029/1024
5 Opossum 40.650 28/27 126/125
6 Porcupine 41.057 64/63 250/243
7 Nessafof 45.048 6144/6125 250047/250000
8 Pnict 45.660 250047/250000 2100875/2097152
9 Superkleismic 47.932 875/864 1029/1024
10 Hemikleismic 52.054 4000/3969 6144/6125
11 Inflated 54.729 28/27 128/125
12 Triforce 54.988 49/48 128/125
13 Tritikleismic 56.337 1029/1024 15625/15552
14 Nautilus 57.420 49/48 250/243

11-limit temperaments with badness below 0.05

Listed is the TE badness times 1000 for 33 temperaments with badness less than 0.05.

Rank Name Badness Commas
1 Valentine 16.687 121/120 126/125 176/175
2 Tritikleismic 19.333 385/384 441/440 4000/3993
3 Augene 19.613 56/55 64/63 100/99
4 Porcupine 21.562 55/54 64/63 100/99
5 Opossum 22.325 28/27 55/54 77/75
6 Blackwood 24.641 28/27 49/48 55/54
7 Superkleismic 25.659 100/99 245/242 385/384
8 Nautilus 26.023 49/48 55/54 100/99
9 Triforce 26.152 49/48 56/55 77/75
10 Keemun 27.41 49/48 56/55 100/99
11 Darjeeling 27.648 49/48 55/54 77/75
12 Ferrier 29.2 28/27 49/48 77/75
13 Progress 31.036 56/55 64/63 77/75
14 Inflated 31.171 28/27 55/54 128/125
15 Thuja 33.078 126/125 176/175 1344/1331
16 Tritriple 35.350 385/384 441/440 43923/43750

13-limit temperaments with badness below 0.04

Listed is the TE badness times 1000 for 59 temperaments with badness less than 0.04.

Rank Name Badness Commas
1 Tritikleismic 15.652 325/324 364/363 441/440 625/624
2 Opossum 19.389 28/27 40/39 55/54 66/65
3 Triforce 20.248 49/48 56/55 66/65 77/75
4 Blackwood 20.498 28/27 40/39 49/48 55/54
5 Augene 20.785 40/39 56/55 64/63 66/65
6 Porcupine 21.276 40/39 55/54 64/63 66/65
7 Lupercalia 21.328 66/65 105/104 121/120 126/125
9 Superkleismic 21.478 100/99 105/104 245/242 1188/1183
10 Nautilus 22.285 49/48 55/54 91/90 100/99
12 Keema 22.749 49/48 56/55 91/90 625/624
13 Thuja 22.838 126/125 144/143 176/175 364/363
15 Dwynwen 23.461 91/90 121/120 126/125 176/175
16 Porcupinefish 25.314 55/54 64/63 91/90 100/99
17 Hemikleismic 26.005 121/120 176/175 275/273 325/324
18 Progress 26.214 56/55 64/63 66/65 77/75