List of edo-distinct 26et rank two temperaments

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