List of 34edo rank two temperaments by badness

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Below are listed rank-two temperaments supported by the 34et patent val or the 34d val (i.e. <34 54 79 96 118 126|), below the indicated cutoff in TE badness.

5-limit temperaments with badness below 0.1

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

Rank Wedgie Name Badness Commas
1 <<6 5 -6]] Hanson 13.234 15625/15552
2 <<2 -4 -11]] Srutal 19.915 2048/2025
3 <<14 6 -23]] Vishnu 31.181 6115295232/6103515625
4 <<8 1 -17]] Würschmidt 40.603 393216/390625
5 <<4 9 5]] Tetracot 48.518 20000/19683
6 <<34 17 -52]] Chlorine 77.072 582076609134674072265625/581595589965365114830848
7 <<20 11 -29]] Gammic 87.752 95367431640625/95105071448064

7-limit patent val temperaments with badness below 0.06

Listed is the wedgie and the TE badness times 1000 for 34edo patent val temperaments with badness less than 0.06.

1 <<6 5 3 -6 -12 -7]] Keemun 27.408 49/48 126/125
2 <<2 -4 -16 -11 -31 -26]] Diaschismic 37.914 126/125 2048/2025
3 <<6 5 -31 -6 -66 -86]] Countercata 52.128 5120/5103 15625/15552

7-limit 34d temperaments with badness below 0.06

Listed is the wedgie and the TE badness times 1000 for 34d temperaments with badness less than 0.06.

1 <<2 -4 -4 -11 -12 2]] Pajara 20.033 50/49 64/63
2 <<6 5 22 -6 18 37]] Catakleismic 21.501 225/224 4375/4374
3 <<34 17 170 -52 174 347]] Chlorine 41.658 4375/4374 193119049072265625/193091834023510016
4 <<14 6 74 -23 78 155]] Vishnu 41.912 4375/4374 29360128/29296875
5 <<20 11 96 -29 96 192]] Gammic 47.362 4375/4374 6591796875/6576668672
6 <<8 1 18 -17 6 39]] Würschmidt 50.776 225/224 8748/8575

11-limit patent val temperaments with badness below 0.05

Listed is the wedgie and the TE badness times 1000 for 34edo patent val temperaments with badness less than 0.05.

1 <<6 5 3 -2 -6 -12 -24 -7 -22 -16]] Keemun 27.410 49/48 56/55 100/99
2 <<8 1 -13 20 -17 -43 4 -33 43 101]] Worschmidt 33.436 126/125 243/242 385/384
3 <<4 9 19 10 5 19 2 19 -8 -38]] Wollemia 37.551 56/55 100/99 243/242
4 <<4 9 -15 10 5 -35 2 -60 -8 80]] Monkey 38.836 100/99 243/242 385/384
5 <<6 5 -31 32 -6 -66 30 -86 57 197]] Countercata 39.770 385/384 2200/2187 3388/3375
6 <<2 -4 18 -12 -11 23 -26 53 -14 -96]] Keen 45.270 100/99 385/384 1232/1215
7 <<12 10 -28 30 -12 -78 6 -93 35 181]] 46.940 243/242 385/384 6250/6237
8 <<2 -4 -16 -12 -11 -31 -26 -26 -14 22]] 48.070 56/55 100/99 2048/2025
9 <<4 -8 2 10 -22 -8 2 27 51 21]] Anguirus 49.253 49/48 56/55 243/242

11-limit 34d temperaments with badness below 0.05

Listed is the wedgie and the TE badness times 1000 for 34d temperaments with badness less than 0.05.

1 <<14 6 74 52 -23 78 34 155 100 -110]] Vishnu 14.180 3025/3024 4375/4374 5632/5625
2 <<2 -4 -4 -12 -11 -12 -26 2 -14 -20]] Pajara 20.343 50/49 64/63 99/98
3 <<8 1 18 20 -17 6 4 39 43 -6]] Würschmidt 24.413 99/98 176/175 243/242
4 <<12 10 44 30 -12 36 6 74 35 -68]] Bikleismic 29.319 225/224 243/242 4375/4356
5 <<4 9 26 10 5 30 2 35 -8 -62]] Bunya 31.332 100/99 225/224 243/242
6 <<4 9 -8 10 5 -24 2 -44 -8 56]] Modus 35.149 64/63 100/99 243/242
7 <<2 -4 30 22 -11 42 28 81 65 -42]] 35.315 176/175 896/891 1331/1323
8 <<40 22 192 134 -58 192 74 384 235 -288]] 36.245 3025/3024 4375/4374 6591796875/6576668672
9 <<6 5 -12 -2 -6 -36 -24 -42 -22 36]] 36.894 64/63 100/99 1331/1323
10 <<6 5 22 32 -6 18 30 37 57 14]] Cataclysmic 39.954 99/98 176/175 2200/2187
11 <<10 14 14 8 -1 -6 -22 -7 -30 -26]] Crepuscular 40.758 50/49 99/98 1944/1925
12 <<26 16 118 82 -35 114 40 229 135 -178]] Quatracot 41.043 3025/3024 4375/4374 1265625/1261568
13 <<4 -8 26 10 -22 30 2 83 51 -62]] 41.459 176/175 243/242 896/891
14 <<10 -3 14 8 -28 -6 -22 41 29 -26]] 42.649 99/98 176/175 864/847
15 <<8 18 18 20 10 6 4 -9 -16 -6]] 43.923 50/49 99/98 243/242
16 <<6 5 22 -2 -6 18 -24 37 -22 -82]] 44.335 100/99 225/224 864/847
17 <<6 5 56 32 -6 72 30 116 57 -104]] 48.57 896/891 2200/2187 14700/14641
18 <<4 -8 -8 10 -22 -24 2 4 51 56]] 48.885 50/49 64/63 243/242

13-limit patent val temperaments with badness below 0.04

Listed is the wedgie and the TE badness times 1000 for 34edo patent val temperaments with badness less than 0.04.

1 <<6 5 -31 32 14 -6 -66 30 0 -86 57 14 197 154 -70]] Countercata 20.156 325/324 352/351 385/384 625/624
2 <<6 5 3 -2 14 -6 -12 -24 0 -7 -22 14 -16 28 56]] Keema 22.749 49/48 56/55 91/90 625/624
3 <<4 9 -15 10 -2 5 -35 2 -18 -60 -8 -38 80 50 -44]] Monkey 28.410 100/99 105/104 144/143 243/242
4 <<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
5 <<4 9 19 10 -2 5 19 2 -18 19 -8 -38 -38 -76 -44]] Wollemia 31.219 56/55 91/90 100/99 352/351
6 <<2 13 1 22 16 16 -4 28 18 -34 6 -11 58 41 -26]] 33.196 49/48 91/90 100/99 847/845
7 <<12 10 -28 30 28 -12 -78 6 0 -93 35 28 181 182 -14]] 33.896 243/242 325/324 385/384 625/624
8 <<4 -8 -32 10 -2 -22 -62 2 -18 -52 51 25 139 113 -44]] 34.151 126/125 144/143 243/242 676/675
9 <<8 1 -13 20 -4 -17 -43 4 -36 -33 43 -13 101 37 -88]] 34.458 105/104 126/125 144/143 243/242
10 <<2 -4 -16 22 16 -11 -31 28 18 -26 65 52 117 104 -26]] 36.595 91/90 126/125 352/351 385/384
11 <<2 -4 -16 -12 -18 -11 -31 -26 -36 -26 -14 -27 22 9 -18]] 36.961 56/55 100/99 105/104 847/845
12 <<10 -3 5 8 12 -28 -20 -22 -18 20 29 39 5 15 12]] 37.270 49/48 56/55 91/90 847/845
13 <<6 5 3 32 14 -6 -12 30 0 -7 57 14 79 28 -70]] 38.951 49/48 91/90 126/125 352/351
14 <<0 0 34 0 0 0 54 0 0 79 0 0 -118 -126 0]] 39.906 100/99 144/143 243/242 625/624
15 <<10 14 22 8 12 -1 7 -22 -18 12 -30 -24 -54 -48 12]] 39.957 56/55 91/90 100/99 847/845

13-limit 34d temperaments with badness below 0.05

Listed is the wedgie and the TE badness times 1000 for 34d temperaments with badness less than 0.04.

1 <<12 10 44 30 28 -12 36 6 0 74 35 28 -68 -84 -14]] Bikleismic 21.814 169/168 225/224 243/242 325/324
2 <<2 -4 -4 -12 -18 -11 -12 -26 -36 2 -14 -27 -20 -36 -18]] Pajara 22.327 50/49 64/63 99/98 975/968
3 <<6 5 22 32 14 -6 18 30 0 37 57 14 14 -42 -70]] Cataclysmic 22.555 99/98 169/168 176/175 275/273
4 <<26 16 118 82 38 -35 114 40 -36 229 135 29 -178 -330 -172]] Quatracot 22.643 625/624 729/728 1575/1573 2200/2197
5 <<8 1 18 20 -4 -17 6 4 -36 39 43 -13 -6 -78 -88]] Würschmidt 23.593 99/98 144/143 176/175 275/273
6 <<4 -8 26 10 -2 -22 30 2 -18 83 51 25 -62 -102 -44]] Sruti 23.791 144/143 176/175 351/350 676/675
7 <<4 9 -8 10 -2 5 -24 2 -18 -44 -8 -38 56 24 -44]] Modus 23.806 64/63 78/77 100/99 144/143
8 <<10 14 14 8 12 -1 -6 -22 -18 -7 -30 -24 -26 -18 12]] Crepuscular 24.368 50/49 78/77 99/98 144/143
9 <<6 5 56 32 14 -6 72 30 0 116 57 14 -104 -168 -70]] Metakleismic 24.371 325/324 352/351 364/363 625/624
10 <<4 9 26 10 -2 5 30 2 -18 35 -8 -38 -62 -102 -44]] Bunya 24.886 100/99 144/143 243/242 275/273
11 <<2 -4 30 22 16 -11 42 28 18 81 65 52 -42 -66 -26]] Srutal 25.286 169/168 176/175 325/324 364/363
12 <<10 -3 14 8 12 -28 -6 -22 -18 41 29 39 -26 -18 12]] Amavil 25.791 78/77 99/98 144/143 176/175
13 <<6 5 -12 -2 14 -6 -36 -24 0 -42 -22 14 36 84 56]] 26.336 64/63 100/99 144/143 275/273
14 <<28 12 148 104 54 -46 156 68 -18 310 200 81 -220 -396 -198]] 27.017 676/675 3025/3024 4225/4224 4375/4374
15 <<6 5 22 -2 14 -6 18 -24 0 37 -22 14 -82 -42 56]] 27.343 78/77 100/99 144/143 676/675
16 <<2 13 30 22 16 16 42 28 18 33 6 -11 -42 -66 -26]] 28.521 100/99 169/168 225/224 275/273
17 <<2 -4 -4 -12 16 -11 -12 -26 18 2 -14 52 -20 60 100]] 28.636 50/49 64/63 99/98 144/143
18 <<4 -8 -8 10 -2 -22 -24 2 -18 4 51 25 56 24 -44]] 28.755 50/49 64/63 144/143 676/675
19 <<16 2 70 40 26 -34 66 8 -18 157 86 53 -130 -186 -58]] 29.863 243/242 351/350 676/675 4225/4224
20 <<10 -3 48 42 12 -28 48 32 -18 120 108 39 -48 -144 -114]] 31.480 176/175 351/350 676/675 1331/1323
21 <<8 1 18 20 30 -17 6 4 18 39 43 66 -6 18 30]] 31.865 78/77 99/98 243/242 325/324
22 <<8 18 18 20 30 10 6 4 18 -9 -16 3 -6 18 30]] 31.948 50/49 78/77 99/98 243/242
23 <<10 14 48 42 12 -1 48 32 -18 72 49 -24 -48 -144 -114]] 31.980 225/224 275/273 325/324 1573/1568
24 <<14 6 40 18 10 -23 24 -20 -36 76 21 1 -88 -120 -32]] 32.426 144/143 225/224 351/350 364/363
25 <<0 17 0 0 0 27 0 0 0 -48 -59 -63 0 0 0]] 32.554 64/63 78/77 99/98 144/143
26 <<14 6 74 52 10 -23 78 34 -36 155 100 1 -110 -246 -158]] 33.169 352/351 625/624 729/728 1575/1573
27 <<20 11 62 50 24 -29 42 10 -36 113 78 15 -74 -162 -102]] 33.418 225/224 243/242 351/350 1188/1183
28 <<22 7 92 72 40 -40 84 38 -18 194 143 67 -116 -228 -128]] 34.696 351/350 676/675 1573/1568 4225/4224
29 <<2 13 -4 -12 16 16 -12 -26 18 -46 -73 -11 -20 60 100]] 35.216 64/63 99/98 144/143 275/273
30 <<14 6 6 18 10 -23 -30 -20 -36 -3 21 1 30 6 -32]] 35.525 50/49 78/77 144/143 176/175
31 <<2 13 -4 22 16 16 -12 28 18 -46 6 -11 76 60 -26]] 36.455 64/63 78/77 100/99 676/675
32 <<4 9 26 10 32 5 30 2 36 35 -8 41 -62 -6 74]] 37.128 78/77 100/99 225/224 243/242
33 <<12 10 78 64 28 -12 90 60 0 153 114 28 -90 -210 -140]] 37.139 325/324 352/351 625/624 1331/1323
34 <<4 -8 -8 -24 -2 -22 -24 -52 -18 4 -28 25 -40 24 82]] 37.427 50/49 64/63 99/98 169/168
35 <<8 1 -16 -14 -4 -17 -48 -50 -36 -40 -36 -13 16 48 38]] 37.834 64/63 100/99 169/168 275/273
36 <<16 19 36 40 26 -7 12 8 -18 30 27 -10 -12 -60 -58]] 38.314 99/98 169/168 243/242 275/273
37 <<12 10 10 30 28 -12 -18 6 0 -5 35 28 50 42 -14]] 38.772 50/49 78/77 176/175 243/242
38 <<18 15 100 62 42 -18 108 36 0 190 92 42 -172 -252 -84]] 38.896 325/324 364/363 625/624 19773/19712
39 <<2 -4 -4 22 16 -11 -12 28 18 2 65 52 76 60 -26]] 39.525 50/49 64/63 78/77 325/324
40 <<0 0 34 0 0 0 54 0 0 79 0 0 -118 -126 0]] 39.906 100/99 144/143 243/242 625/624