editing disabled

The temperaments listed are 26edo-distinct, meaning that they are all different even if tuned in 26edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Period,
generator
Wedgie
Name
Complexity
Commas
26, 11
<<1 4 4]]
Meantone
1.231
81/80
13, 2
<<2 -18 -33]]
Phillips
6.882
9685512225/8589934592
26, 5
<<3 -14 -29]]
Archaeotherium
5.832
597871125/536870912
13, 1
<<4 -10 -25]]
Elvis
4.867
36905625/33554432
26, 3
<<5 -6 -21]]
Secund
4.049
2278125/2097152
13, 5
<<6 -2 -17]]
Lemba
3.484
140625/131072
26, 9
<<7 2 -13]]
Wesley
3.303
78125/73728
13, 6
<<8 6 -9]]
Doublewide
3.565
390625/373248
26, 7
<<9 10 -5]]
Shibboleth
4.189
1953125/1889568
13, 3
<<10 14 -1]]
Fifive
5.041
9765625/9565938
26, 1
<<11 18 3]]
Quartonic
6.026
390625000/387420489
13, 4
<<12 22 7]]
Unidec
7.088
31381059609/31250000000
2, 1
<<13 0 -30]]
Triskaidekic
6.676
1220703125/1073741824

7-limit temperaments

Period,
generator
Wedgie
Name
Complexity
Commas
26, 11
<<1 4 -9 4 -17 -32]]
Flattone
2.987
81/80 525/512
13, 2
<<2 8 8 8 7 -4]]
Injera
2.205
50/49 81/80
26, 5
<<3 12 -1 12 -10 -36]]
Mothra
3.573
81/80 1029/1024
13, 1
<<4 -10 -10 -25 -27 5]]
Elvis
4.494
50/49 8505/8192
26, 3
<<5 -6 7 -21 -3 33]]
Secund
3.685
405/392 525/512
13, 5
<<6 -2 -2 -17 -20 1]]
Lemba
3.086
50/49 525/512
26, 9
<<7 2 15 -13 4 29]]
Wesley
3.694
405/392 875/864
13, 6
<<8 6 6 -9 -13 -3]]
Doublewide
2.928
50/49 875/864
26, 7
<<9 10 -3 -5 -30 -35]]
Superkleismic
4.620
875/864 1029/1024
13, 3
<<10 14 14 -1 -6 -7]]
Crepuscular
4.165
50/49 4375/4374
26, 1
<<11 18 5 3 -23 -39]]
Quartonic
5.395
1728/1715 4000/3969
13, 4
<<14 4 4 -26 -33 -2]]
Dubbla
5.598
50/49 78125/73728
2, 1
<<13 0 13 -30 -16 30]]
Triskaidekic
5.617
1728/1715 1875/1792

11-limit temperaments

Period,
generator
Wedgie
Name
Complexity
Commas
26, 11
<<1 4 -9 6 4 -17 6 -32 0 48]]
Flattone
2.866
45/44 81/80 385/384
13, 2
<<2 8 8 12 8 7 12 -4 0 6]]
Injera
2.153
45/44 50/49 99/98
26, 5
<<3 12 -1 18 12 -10 18 -36 0 54]]
Cynder
3.813
45/44 81/80 1029/1024
13, 1
<<4 -10 -10 -2 -25 -27 -17 5 30 29]]
Elvis
3.924
45/44 50/49 1344/1331
26, 3
<<5 -6 7 4 -21 -3 -11 33 30 -13]]
Secund
3.203
45/44 99/98 385/384
13, 5
<<6 -2 -2 10 -17 -20 -5 1 30 35]]
Lemba
3.054
45/44 50/49 385/384
26, 9
<<7 2 15 16 -13 4 1 29 30 -7]]
Wesley
3.432
45/44 99/98 875/864
13, 6
<<8 6 6 -4 -9 -13 -34 -3 -30 -32]]
Doublewide
3.407
50/49 99/98 875/864
26, 7
<<9 10 -3 2 -5 -30 -28 -35 -30 16]]
Superkleismic
4.137
100/99 245/242 385/384
13, 3
<<10 14 14 8 -1 -6 -22 -7 -30 -26]]
Crepuscular
3.829
50/49 99/98 1944/1925
26, 1
<<11 18 5 14 3 -23 -16 -39 -30 22]]
Quarto
4.675
100/99 245/242 864/847
13, 4
<<14 4 4 6 -26 -33 -39 -2 0 3]]
Dubbla
4.917
50/49 125/121 1344/1331
2, 1
<<13 0 13 0 -30 -16 -45 30 0 -45]]
Triskaidekic
5.274
99/98 125/121 385/384

13-limit temperaments

Period,
generator
Wedgie
Name
Complexity
Commas
26, 11
<<1 4 -9 6 -4 4 -17 6 -10 -32 0 -24 48 22 -36]]
Flattone
2.664
45/44 65/64 78/77 81/80
13, 2
<<2 8 8 12 18 8 7 12 21 -4 0 12 6 21 18]]
Injera
2.461
45/44 50/49 78/77 99/98
26, 5
<<3 12 -1 18 14 12 -10 18 11 -36 0 -12 54 43 -18]]
Cynder
3.505
45/44 78/77 81/80 640/637
13, 1
<<4 -10 -10 -2 -16 -25 -27 -17 -40 5 30 0 29 -8 -48]]
Elvis
3.948
45/44 50/49 78/77 1053/1024
26, 3
<<5 -6 7 4 6 -21 -3 -11 -9 33 30 36 -13 -9 6]]
Secundly
2.899
45/44 65/64 78/77 99/98
13, 5
<<6 -2 -2 10 2 -17 -20 -5 -19 1 30 12 35 13 -30]]
Lemba
2.745
45/44 50/49 65/64 78/77
26, 9
<<7 2 15 16 24 -13 4 1 12 29 30 48 -7 12 24]]
Wesley
3.652
45/44 78/77 99/98 325/324
13, 6
<<8 6 6 22 20 -9 -13 7 2 -3 30 24 41 34 -12]]
Cavalier
3.406
45/44 50/49 78/77 325/324
26, 7
<<9 10 -3 2 16 -5 -30 -28 -8 -35 -30 0 16 56 48]]
Superkleismic
3.957
100/99 105/104 245/242 1188/1183
13, 3
<<10 14 14 8 12 -1 -6 -22 -18 -7 -30 -24 -26 -18 12]]
Crepuscular
3.447
50/49 78/77 99/98 144/143
26, 1
<<11 18 5 14 8 3 -23 -16 -28 -39 -30 -48 22 4 -24]]
Quarto
4.328
78/77 100/99 144/143 245/242
13, 4
<<14 4 4 6 22 -26 -33 -39 -17 -2 0 36 3 47 54]]
Dubbla
4.770
50/49 105/104 125/121 144/143
2, 1
<<13 0 13 0 0 -30 -16 -45 -48 30 0 0 -45 -48 0]]
Triskaidekic
4.943
78/77 99/98 125/121 1200/1183