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 |