List of 14edo rank two temperaments by badness

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Revision as of 10:12, 11 April 2025 by FloraC (talk | contribs) (Cleanup)
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Below are listed rank-2 temperaments supported by the 14edo patent val or the 14c val (i.e. 14 22 32 39 48 52]), below the indicated cutoff in TE logflat badness.

5-limit patent val temperaments

Listed is the wedgie and the TE badness times 1000 for 14edo patent val temperaments with badness less than 0.1.

Rank Wedgie Name Badness Commas
1 ⟨⟨ 2 -4 -11 ]] Srutal 19.915 2048/2025
2 ⟨⟨ 2 3 0 ]] Bug 32.801 27/25

7-limit patent val temperaments

Listed is the wedgie and the TE badness times 1000 for 14edo patent val temperaments with badness less than 0.06.

1 ⟨⟨ 2 3 1 0 -4 -6 ]] Beep 18.638 21/20 27/25
2 ⟨⟨ 6 -12 10 -33 -1 57 ]] Echidna 58.033 1728/1715 2048/2025

7-limit 14c temperaments

Listed is the wedgie and the TE badness times 1000 for 14c temperaments with badness less than 0.06.

1 ⟨⟨ 2 8 1 8 -4 -20 ]] Godzilla 26.747 49/48 81/80
2 ⟨⟨ 32 86 51 62 -9 -123 ]] Osiris 28.307 2401/2400 31381059609/31360000000
3 ⟨⟨ 4 2 2 -6 -8 -1 ]] Decimal 28.334 25/24 49/48
4 ⟨⟨ 2 8 8 8 7 -4 ]] Injera 31.130 50/49 81/80
5 ⟨⟨ 8 18 11 10 -5 -25 ]] Octacot 33.845 245/243 2401/2400
6 ⟨⟨ 12 34 20 26 -2 -49 ]] Harry 34.077 2401/2400 19683/19600
7 ⟨⟨ 0 0 7 0 11 16 ]] Jamesbond 41.714 25/24 81/80
8 ⟨⟨ 6 10 10 2 -1 -5 ]] Hedgehog 43.983 50/49 245/243
9 ⟨⟨ 20 52 31 36 -7 -74 ]] Amicable 45.473 2401/2400 1600000/1594323
10 ⟨⟨ 4 16 9 16 3 -24 ]] Squares 45.993 81/80 2401/2400
11 ⟨⟨ 4 2 9 -6 3 15 ]] Sidi 56.586 25/24 245/243
12 ⟨⟨ 6 10 3 2 -12 -21 ]] Nautilus 57.420 49/48 250/243
13 ⟨⟨ 2 -6 1 -14 -4 19 ]] Superpelog 58.216 49/48 135/128

11-limit patent val temperaments

Listed is the wedgie and the TE badness times 1000 for 14edo patent val temperaments with badness less than 0.05.

1 ⟨⟨ 2 3 1 -2 0 -4 -10 -6 -15 -9 ]] Pentoid 22.649 21/20 27/25 99/98
2 ⟨⟨ 4 -15 9 10 -33 3 2 63 75 -3 ]] Sentinel 39.595 99/98 243/242 385/384
3 ⟨⟨ 4 -1 9 10 -11 3 2 24 27 -3 ]] Smate 42.518 36/35 56/55 243/242
4 ⟨⟨ 4 -8 2 10 -22 -8 2 27 51 21 ]] Anguirus 49.253 49/48 56/55 243/242

11-limit 14c temperaments

Listed is the wedgie and the TE badness times 1000 for 14c temperaments with badness less than 0.05.

1 ⟨⟨ 12 34 20 30 26 -2 6 -49 -48 15 ]] Harry 15.867 243/242 441/440 4000/3993
2 ⟨⟨ 4 16 9 10 16 3 2 -24 -32 -3 ]] Squares 21.636 81/80 99/98 121/120
3 ⟨⟨ 6 10 10 8 2 -1 -8 -5 -16 -12 ]] Hedgehog 23.095 50/49 55/54 99/98
4 ⟨⟨ 2 8 8 12 8 7 12 -4 0 6 ]] Injera 23.124 45/44 50/49 99/98
5 ⟨⟨ 0 0 7 0 0 11 0 16 0 -24 ]] Jamesbond 23.524 25/24 33/32 45/44
6 ⟨⟨ 8 18 11 20 10 -5 4 -25 -16 18 ]] Octacot 24.078 100/99 243/242 245/242
7 ⟨⟨ 6 10 3 8 2 -12 -8 -21 -16 12 ]] Nautilus 26.023 49/48 55/54 100/99
8 ⟨⟨ 4 2 2 10 -6 -8 2 -1 16 21 ]] Decimal 26.712 25/24 45/44 49/48
9 ⟨⟨ 2 8 1 -2 8 -4 -10 -20 -32 -9 ]] Semafour 28.510 33/32 49/48 55/54
10 ⟨⟨ 2 -6 1 -2 -14 -4 -10 19 16 -9 ]] Superpelog 28.535 33/32 45/44 49/48
11 ⟨⟨ 2 8 1 12 8 -4 12 -20 0 30 ]] Godzilla 28.947 45/44 49/48 81/80
12 ⟨⟨ 4 2 2 -4 -6 -8 -20 -1 -16 -18 ]] Decimated 31.456 25/24 33/32 49/48
13 ⟨⟨ 4 2 9 10 -6 3 2 15 16 -3 ]] Sidi 32.957 25/24 45/44 99/98
14 ⟨⟨ 10 26 12 18 18 -9 -6 -45 -48 9 ]] Bamity 35.504 121/120 245/243 441/440
15 ⟨⟨ 2 -6 -6 -2 -14 -15 -10 3 16 15 ]] Bipelog 35.694 33/32 45/44 50/49
16 ⟨⟨ 2 8 8 -2 8 7 -10 -4 -32 -33 ]] Injerous 38.577 33/32 50/49 55/54
17 ⟨⟨ 52 138 82 116 98 -16 4 -197 -208 42 ]] 40.429 2401/2400 9801/9800 322102/321489
18 ⟨⟨ 4 16 2 10 16 -8 2 -40 -32 21 ]] 42.259 49/48 81/80 121/120
19 ⟨⟨ 10 26 19 18 18 2 -6 -29 -48 -15 ]] 42.947 99/98 121/120 4000/3969
20 ⟨⟨ 18 44 30 38 28 -3 -2 -54 -64 3 ]] 43.653 540/539 1331/1323 2200/2187
21 ⟨⟨ 8 18 18 20 10 6 4 -9 -16 -6 ]] 43.923 50/49 99/98 243/242
22 ⟨⟨ 4 2 -5 -4 -6 -19 -20 -17 -16 6 ]] 46.727 25/24 33/32 245/242

13-limit patent val temperaments

Listed is the wedgie and the TE badness times 1000 for 14edo patent val temperaments with badness less than 0.04.

1 ⟨⟨ 2 3 1 -2 6 0 -4 -10 2 -6 -15 3 -9 13 28 ]] Pentoid 21.159 21/20 26/25 27/25 33/32
2 ⟨⟨ 4 -8 2 10 -2 -22 -8 2 -18 27 51 25 21 -13 -44 ]] Anguirus 30.829 49/48 56/55 91/90 352/351
3 ⟨⟨ 14 -35 21 28 -14 -88 -6 -4 -74 147 186 97 6 -117 -152 ]] 33.627 352/351 385/384 676/675 1331/1323
4 ⟨⟨ 4 -1 9 10 -2 -11 3 2 -18 24 27 -1 -3 -39 -44 ]] Smate 36.836 26/25 36/35 56/55 243/242
5 ⟨⟨ 4 -15 9 10 -2 -33 3 2 -18 63 75 51 -3 -39 -44 ]] Sentinel 37.408 99/98 105/104 144/143 243/242
6 ⟨⟨ 2 -11 1 -2 -8 -22 -4 -10 -20 33 33 22 -9 -26 -20 ]] 38.524 33/32 49/48 91/90 121/117

13-limit 14c temperaments

Listed is the wedgie and the TE badness times 1000 for 14c temperaments with badness less than 0.04.

1 ⟨⟨ 0 0 7 0 0 0 11 0 0 16 0 0 -24 -26 0 ]] Jamesbond 23.003 25/24 27/26 33/32 45/44
2 ⟨⟨ 8 18 11 20 -4 10 -5 4 -36 -25 -16 -76 18 -52 -88 ]] Octacot 23.276 100/99 144/143 243/242 245/242
3 ⟨⟨ 6 10 10 8 4 2 -1 -8 -16 -5 -16 -28 -12 -26 -16 ]] Urchin 25.233 40/39 50/49 55/54 66/65
4 ⟨⟨ 4 16 9 10 -2 16 3 2 -18 -24 -32 -64 -3 -39 -44 ]] Squares 25.514 66/65 81/80 99/98 121/120
5 ⟨⟨ 2 8 8 12 6 8 7 12 2 -4 0 -16 6 -13 -24 ]] Enjera 26.542 27/26 40/39 45/44 99/98
6 ⟨⟨ 2 -6 1 -2 6 -14 -4 -10 2 19 16 36 -9 13 28 ]] 28.222 27/26 33/32 45/44 49/48
7 ⟨⟨ 4 2 2 10 -2 -6 -8 2 -18 -1 16 -12 21 -13 -44 ]] 28.809 25/24 40/39 45/44 49/48
8 ⟨⟨ 6 10 3 8 4 2 -12 -8 -16 -21 -16 -28 12 0 -16 ]] 29.816 40/39 49/48 55/54 66/65
9 ⟨⟨ 2 8 1 -2 -8 8 -4 -10 -20 -20 -32 -48 -9 -26 -20 ]] 30.101 33/32 49/48 55/54 65/64
10 ⟨⟨ 4 2 2 -4 -2 -6 -8 -20 -18 -1 -16 -12 -18 -13 8 ]] 30.329 25/24 33/32 40/39 49/48
11 ⟨⟨ 0 0 0 0 14 0 0 0 22 0 0 32 0 39 48 ]] 30.857 25/24 33/32 45/44 49/48
12 ⟨⟨ 2 8 8 12 -8 8 7 12 -20 -4 0 -48 6 -52 -72 ]] 31.589 45/44 50/49 65/64 99/98
13 ⟨⟨ 10 26 12 18 -12 18 -9 -6 -56 -45 -48 -124 9 -78 -108 ]] 32.295 121/120 196/195 245/243 352/351
14 ⟨⟨ 2 8 1 12 -8 8 -4 12 -20 -20 0 -48 30 -26 -72 ]] 32.878 45/44 49/48 65/64 81/80
15 ⟨⟨ 2 8 1 12 6 8 -4 12 2 -20 0 -16 30 13 -24 ]] 33.636 27/26 40/39 45/44 49/48
16 ⟨⟨ 6 10 3 8 -10 2 -12 -8 -38 -21 -16 -60 12 -39 -64 ]] 33.723 49/48 55/54 65/64 100/99
17 ⟨⟨ 12 34 20 30 -6 26 -2 6 -54 -49 -48 -140 15 -91 -132 ]] 34.203 144/143 196/195 243/242 3267/3250
18 ⟨⟨ 4 2 2 10 12 -6 -8 2 4 -1 16 20 21 26 4 ]] 34.451 25/24 27/26 45/44 49/48
19 ⟨⟨ 12 34 20 30 -20 26 -2 6 -76 -49 -48 -172 15 -130 -180 ]] 35.096 243/242 325/324 441/440 1287/1280
20 ⟨⟨ 4 2 9 10 12 -6 3 2 4 15 16 20 -3 0 4 ]] 35.574 25/24 27/26 45/44 99/98
21 ⟨⟨ 2 -6 -6 -2 6 -14 -15 -10 2 3 16 36 15 39 28 ]] 35.956 27/26 33/32 45/44 50/49
22 ⟨⟨ 2 8 1 -2 6 8 -4 -10 2 -20 -32 -16 -9 13 28 ]] 36.152 27/26 33/32 40/39 49/48
23 ⟨⟨ 6 10 10 8 -10 2 -1 -8 -38 -5 -16 -60 -12 -65 -64 ]] 36.358 50/49 55/54 99/98 975/968
24 ⟨⟨ 4 2 9 10 -2 -6 3 2 -18 15 16 -12 -3 -39 -44 ]] 36.874 25/24 40/39 45/44 99/98
25 ⟨⟨ 18 44 30 38 -16 28 -3 -2 -92 -54 -64 -200 3 -156 -196 ]] 36.880 325/324 352/351 540/539 1331/1323
26 ⟨⟨ 4 16 9 10 -16 16 3 2 -40 -24 -32 -96 -3 -78 -92 ]] 37.419 65/64 81/80 99/98 121/120
27 ⟨⟨ 0 0 7 0 14 0 11 0 22 16 0 32 -24 13 48 ]] 39.574 25/24 33/32 45/44 147/143