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

List of 34edo rank two temperaments by badness

Contents