editing disabled

The temperaments listed are 72edo-distinct, meaning that they are all different even if tuned in 72edo. The ordering is by increasing TE complexity. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.

11-limit temperaments

Number
Wedgie
Name
Complexity
Commas
1
<<6 -7 -2 15 -25 -20 3 15 59 49]]
Miracle
4.405
225/224 243/242 441/440
2
<<12 -2 20 -6 -31 -2 -51 52 -7 -86]]
Wizard
6.421
225/224 385/384 4000/3993
3
<<0 12 24 36 19 38 57 22 42 18]]
Compton
6.767
225/224 441/440 4375/4356
4
<<6 5 22 -21 -6 18 -54 37 -66 -135]]
Catakleismic
7.254
225/224 385/384 4375/4374
5
<<12 34 20 30 26 -2 6 -49 -48 15]]
Harry
7.373
243/242 441/440 4000/3993
6
<<12 22 -4 -6 7 -40 -51 -71 -90 -3]]
Unidec
7.532
385/384 441/440 4375/4374
7
<<18 27 18 45 1 -22 9 -34 11 64]]
Ennealimnic
7.578
243/242 441/440 4375/4356
8
<<18 15 -6 9 -18 -60 -48 -56 -31 46]]
Tritikleismic
7.587
385/384 441/440 4000/3993
9
<<6 -19 -26 -21 -44 -58 -54 -7 17 31]]
Marvolo
7.935
225/224 441/440 4000/3993
10
<<12 10 44 30 -12 36 6 74 35 -68]]
Bikleismic
8.191
225/224 243/242 4375/4356
11
<<18 -9 18 9 -56 -22 -48 67 52 -37]]
Enneaportent
8.286
225/224 385/384 12005/11979
12
<<6 17 46 15 13 56 3 59 -24 -117]]
Marvo
8.731
225/224 243/242 4000/3993
13
<<24 32 40 24 -5 -4 -45 3 -55 -71]]
Octoid
9.17
540/539 1375/1372 4000/3993
14
<<0 24 -24 0 38 -38 0 -123 -83 83]]
Hours
9.462
243/242 385/384 9801/9800
15
<<6 41 22 15 51 18 3 -64 -107 -34]]
Neominor
9.493
243/242 441/440 35937/35840
16
<<6 29 -2 -21 32 -20 -54 -86 -149 -52]]
Hemiseven
9.733
385/384 441/440 19683/19600
17
<<30 25 38 39 -30 -24 -42 18 4 -22]]
Sqrtphi
9.756
540/539 1375/1372 4375/4356
18
<<18 3 42 45 -37 16 9 89 94 -19]]

9.837
225/224 243/242 12005/11979
19
<<24 8 -8 24 -43 -80 -45 -41 28 95]]

9.859
385/384 441/440 9375/9317
20
<<24 20 16 60 -24 -42 12 -19 70 113]]

9.965
243/242 441/440 15625/15488
21
<<12 -14 -4 -42 -50 -40 -108 30 -49 -104]]

10.342
225/224 1029/1024 4375/4356
22
<<0 36 0 36 57 0 57 -101 -41 101]]

10.349
540/539 1029/1024 4000/3993
23
<<18 39 42 9 20 16 -48 -12 -114 -120]]

10.575
540/539 1375/1372 8019/8000
24
<<30 13 14 3 -49 -62 -99 -4 -38 -40]]

10.735
385/384 1375/1372 4000/3993
25
<<12 -26 -28 -6 -69 -78 -51 8 76 80]]

10.906
225/224 441/440 102487/102400
26
<<18 -21 -6 -27 -75 -60 -105 45 10 -55]]

11.495
225/224 1029/1024 4000/3993
27
<<24 -16 16 24 -81 -42 -45 82 111 12]]

11.615
225/224 385/384 324135/322102
28
<<36 18 36 54 -55 -44 -39 33 63 27]]

12.044
540/539 1375/1372 15625/15488
29
<<24 44 64 60 14 34 12 25 -13 -53]]

12.384
243/242 1375/1372 6250/6237
30
<<30 49 14 39 8 -62 -42 -105 -79 61]]

12.684
441/440 4000/3993 41503/41472
31
<<36 6 12 18 -74 -82 -96 11 21 9]]

12.763
385/384 1375/1372 9375/9317
32
<<24 -4 40 60 -62 -4 12 104 153 30]]

12.855
225/224 243/242 117649/117128
33
<<30 37 62 75 -11 14 15 40 46 -4]]

12.911
243/242 1375/1372 4375/4356
34
<<30 1 -10 39 -68 -100 -42 -26 87 144]]

13.253
385/384 441/440 1171875/1162084
35
<<36 42 12 54 -17 -82 -39 -90 -20 110]]

13.571
441/440 4375/4356 41503/41472
36
<<30 -11 38 3 -87 -24 -99 119 45 -123]]

14.155
225/224 385/384 5359375/5314683

13-limit temperaments

Number
Wedgie
Name
Complexity
Commas
1
<<6 5 22 -21 14 -6 18 -54 0 37 -66 14 -135 -42 126]]
Catakleismic
6.615
169/168 225/224 325/324 385/384
2
<<6 -7 -2 15 38 -25 -20 3 38 15 59 114 49 114 76]]
Manna
6.699
225/224 243/242 325/324 385/384
3
<<12 22 -4 -6 4 7 -40 -51 -38 -71 -90 -72 -3 26 36]]
Hendec
6.806
169/168 325/324 364/363 1716/1715
4
<<18 27 18 45 18 1 -22 9 -38 -34 11 -58 64 -16 -104]]
Ennealim
7.089
169/168 243/242 325/324 441/440
5
<<6 -19 -26 -21 -10 -44 -58 -54 -38 -7 17 47 31 68 43]]
Marvolo
7.132
169/168 225/224 364/363 441/440
6
<<12 -2 20 -6 -20 -31 -2 -51 -76 52 -7 -39 -86 -130 -47]]
Lizard
7.303
225/224 351/350 364/363 385/384
7
<<12 10 44 30 28 -12 36 6 0 74 35 28 -68 -84 -14]]
Bikleismic
7.327
169/168 225/224 243/242 325/324
8
<<18 -9 18 9 18 -56 -22 -48 -38 67 52 75 -37 -16 29]]
Enneaportent
7.465
169/168 225/224 364/363 1716/1715
9
<<12 34 20 30 52 26 -2 6 38 -49 -48 -5 15 72 69]]
Harry
7.574
243/242 351/350 441/440 676/675
10
<<0 12 24 36 48 19 38 57 76 22 42 67 18 46 33]]
Compton
7.664
225/224 351/350 364/363 441/440
11
<<12 -14 -4 30 4 -50 -40 6 -38 30 118 61 98 26 -97]]
Semimiracle
7.889
169/168 225/224 243/242 385/384
12
<<18 15 -6 9 42 -18 -60 -48 0 -56 -31 42 46 140 112]]
Tritikleismic
8.109
325/324 364/363 441/440 625/624
13
<<24 32 40 24 32 -5 -4 -45 -38 3 -55 -44 -71 -58 22]]
Octopus
8.238
169/168 325/324 364/363 540/539
14
<<6 17 -26 15 -10 13 -58 3 -38 -108 -24 -86 132 68 -90]]
Zarvo
8.427
169/168 243/242 325/324 385/384
15
<<24 8 -8 24 8 -43 -80 -45 -76 -41 28 -11 95 52 -61]]

8.922
169/168 385/384 441/440 625/624
16
<<0 24 -24 0 24 38 -38 0 38 -123 -83 -33 83 156 83]]

9.171
243/242 351/350 364/363 385/384
17
<<6 29 -2 51 38 32 -20 60 38 -86 18 -19 150 114 -57]]

9.359
351/350 540/539 676/675 975/968
18
<<24 20 16 60 56 -24 -42 12 0 -19 70 56 113 98 -28]]

9.516
243/242 325/324 441/440 625/624
19
<<30 13 14 3 22 -49 -62 -99 -76 -4 -38 3 -40 10 65]]

9.600
169/168 364/363 1001/1000 1716/1715
20
<<30 25 38 39 70 -30 -24 -42 0 18 4 70 -22 56 98]]

9.878
325/324 364/363 625/624 1375/1372
21
<<18 3 42 45 66 -37 16 9 38 89 94 142 -19 30 62]]

10.433
225/224 243/242 364/363 1716/1715
22
<<6 -31 22 15 14 -63 18 3 0 138 142 147 -34 -42 -7]]

10.58
169/168 243/242 364/363 1716/1715
23
<<18 39 42 9 66 20 16 -48 38 -12 -114 9 -120 30 195]]

10.708
351/350 540/539 676/675 1375/1372
24
<<36 18 36 54 36 -55 -44 -39 -76 33 63 17 27 -32 -75]]

10.835
169/168 540/539 625/624 975/968
25
<<18 -21 -6 -27 -30 -75 -60 -105 -114 45 10 8 -55 -62 -4]]

10.959
225/224 364/363 1001/1000 1029/1024
26
<<12 -26 -28 -6 -44 -69 -78 -51 -114 8 76 -6 80 -20 -130]]

11.003
225/224 441/440 1001/1000 2704/2695
27
<<24 -16 16 24 -16 -81 -42 -45 -114 82 111 22 12 -104 -144]]

11.486
225/224 385/384 1573/1568 3042/3025
28
<<30 37 62 75 46 -11 14 15 -38 40 46 -30 -4 -100-118]]

11.70
169/168 243/242 325/324 1375/1372
29
<<24 44 64 60 80 14 34 12 38 25 -13 23 -53 -12 55]]

11.747
243/242 351/350 364/363 1375/1372
30
<<30 49 14 39 22 8 -62 -42 -76 -105 -79 -130 61 10 -68]]

11.748
169/168 325/324 1716/1715 4000/3993
31
<<36 42 12 54 60 -17 -82 -39 -38 -90 -20 -16 110 124 8]]

12.364
325/324 441/440 1001/1000 2197/2178
32
<<0 36 0 36 72 57 0 57 114 -101 -41 34 101 202 116]]

12.391
351/350 364/363 540/539 1029/1024
33
<<30 1 -10 39 46 -68 -100 -42 -38 -26 87 103 144 166 15]]

12.526
385/384 441/440 676/675 975/968
34
<<36 6 12 18 60 -74 -82 -96 -38 11 21 117 9 124 141]]

12.604
364/363 385/384 676/675 1375/1372
35
<<30 61 38 75 70 27 -24 15 0 -83 -37 -63 79 56 -35]]

12.883
243/242 351/350 441/440 2197/2178
36
<<24 -4 -32 -12 32 -62 -118 -102 -38 -63 -14 89 77 208 155]]

13.262
364/363 441/440 676/675 15625/15488