Catalog of 11-limit rank-2 temperaments
(Redirected from Catalog of eleven-limit rank two temperaments)
Below is a complete listing of all 193 11-limit rank-2 temperaments with Smith TE complexity less than 16 and TE logflat badness less than 1/30. The TE error is multiplied by 1200 so that it can be thought of as cents, and the badness is multiplied by 1000. Some "junk" temperaments of very low complexity are listed below the main list, which is ordered by increasing complexity.
Temperament list
| Name | Complexity | Error (¢) | Badness (×1k) | Mapping | Commas |
|---|---|---|---|---|---|
| .655 | 54.775 | 22.549 | [⟨1 0 -1 -2 -3], ⟨0 1 2 3 4]] | 10/9 15/14 22/21 | |
| Ternary variant | .680 | 74.627 | 32.666 | [⟨3 5 7 0 10], ⟨0 0 0 1 0]] | 10/9 11/9 16/15 |
| Father variant | .692 | 73.354 | 33.117 | [⟨1 0 4 3 7], ⟨0 1 -1 0 -2]] | 8/7 15/14 25/22 |
| .712 | 47.618 | 22.540 | [⟨4 6 9 11 0], ⟨0 0 0 0 1]] | 9/8 15/14 35/32 | |
| Antitonic variant | .718 | 57.400 | 27.551 | [⟨2 3 0 1 -2], ⟨0 0 1 1 2]] | 9/8 15/14 25/22 |
| .718 | 46.851 | 22.488 | [⟨1 1 2 2 3], ⟨0 2 1 3 2]] | 12/11 15/14 25/22 | |
| Mother | .727 | 44.826 | 21.957 | [⟨1 0 4 6 5], ⟨0 1 -1 -2 -1]] | 11/10 16/15 21/20 |
| Ternary | .771 | 47.381 | 25.592 | [⟨3 5 7 0 2], ⟨0 0 0 1 1]] | 10/9 16/15 22/21 |
| Mother variant | .776 | 45.662 | 24.928 | [⟨1 0 4 6 2], ⟨0 1 -1 -2 1]] | 12/11 16/15 21/20 |
| Beep extension | .796 | 38.983 | 22.203 | [⟨1 0 0 2 1], ⟨0 2 3 1 3]] | 11/10 21/20 27/25 |
| Beep extension | .807 | 41.497 | 24.184 | [⟨1 0 0 2 2], ⟨0 2 3 1 2]] | 12/11 21/20 27/25 |
| Father variant | .832 | 38.874 | 23.823 | [⟨1 0 4 -2 2], ⟨0 1 -1 3 1]] | 12/11 16/15 28/27 |
| Flattie variant | .833 | 47.271 | 29.071 | [⟨1 1 2 3 3], ⟨0 2 1 -1 1]] | 11/10 21/20 25/24 |
| Mujannabic | .854 | 30.986 | 19.854 | [⟨1 1 2 2 2], ⟨0 2 1 3 5]] | 15/14 22/21 25/24 |
| Father variant | .905 | 43.667 | 30.795 | [⟨1 0 4 -2 5], ⟨0 1 -1 3 -1]] | 11/10 16/15 28/27 |
| .923 | 33.964 | 24.785 | [⟨5 8 12 14 0], ⟨0 0 0 0 1]] | 16/15 21/20 27/25 | |
| Malacoda extension | .931 | 43.645 | 32.259 | [⟨1 0 3 2 1], ⟨0 2 -1 1 3]] | 15/14 22/21 35/32 |
| Mother variant | .979 | 40.847 | 32.831 | [⟨1 0 4 6 10], ⟨0 1 -1 -2 -4]] | 16/15 21/20 35/33 |
| Father | .986 | 25.280 | 20.589 | [⟨1 0 4 -2 -3], ⟨0 1 -1 3 4]] | 16/15 22/21 28/27 |
| Flattie | 1.016 | 29.191 | 24.988 | [⟨1 1 2 3 4], ⟨0 2 1 -1 -2]] | 21/20 25/24 33/32 |
| Medusa | 1.023 | 30.999 | 26.828 | [⟨1 0 7 6 5], ⟨0 1 -3 -2 -1]] | 15/14 22/21 33/32 |
| Sharptone extension | 1.042 | 27.464 | 24.506 | [⟨1 0 -4 -2 -6], ⟨0 1 4 3 6]] | 21/20 28/27 35/33 |
| Eudicot | 1.067 | 29.219 | 27.114 | [⟨1 1 2 2 4], ⟨0 2 1 3 -2]] | 15/14 25/24 33/32 |
| Flattie extension | 1.087 | 26.805 | 25.660 | [⟨1 1 2 3 2], ⟨0 2 1 -1 5]] | 21/20 25/24 45/44 |
| Meanertone | 1.138 | 24.359 | 25.167 | [⟨1 0 -4 -2 5], ⟨0 1 4 3 -1]] | 21/20 28/27 55/54 |
| Pento | 1.138 | 22.068 | 22.799 | [⟨1 0 0 2 -2], ⟨0 2 3 1 7]] | 21/20 27/25 45/44 |
| Pentoid | 1.142 | 21.771 | 22.649 | [⟨1 0 0 2 5], ⟨0 2 3 1 -2]] | 21/20 27/25 99/98 |
| Plutus | 1.148 | 30.989 | 32.521 | [⟨1 0 -4 -5 -6], ⟨0 1 4 5 6]] | 15/14 22/21 81/80 |
| Sharpie | 1.196 | 19.922 | 22.366 | [⟨1 1 2 1 2], ⟨0 2 1 6 5]] | 25/24 28/27 35/33 |
| Walid | 1.208 | 25.570 | 29.193 | [⟨2 0 8 9 7], ⟨0 1 -1 -1 0]] | 16/15 22/21 50/49 |
| Pelogic | 1.226 | 19.454 | 22.753 | [⟨1 0 7 9 5], ⟨0 1 -3 -4 -1]] | 21/20 33/32 45/44 |
| Father variant | 1.258 | 23.058 | 28.153 | [⟨1 0 4 -2 10], ⟨0 1 -1 3 -4]] | 16/15 28/27 77/75 |
| Hystrix | 1.335 | 19.860 | 26.790 | [⟨1 2 3 3 4], ⟨0 -3 -5 -1 -4]] | 22/21 36/35 80/77 |
| Arnold | 1.340 | 19.265 | 26.141 | [⟨1 0 -4 6 5], ⟨0 1 4 -2 -1]] | 22/21 33/32 36/35 |
| Blackwood variant | 1.358 | 22.998 | 31.934 | [⟨5 8 0 14 17], ⟨0 0 1 0 0]] | 22/21 28/27 33/32 |
| Diminished variant | 1.415 | 18.282 | 27.164 | [⟨4 0 3 5 1], ⟨0 1 1 1 2]] | 22/21 36/35 50/49 |
| Dichotomic | 1.431 | 20.956 | 31.719 | [⟨1 1 2 4 4], ⟨0 2 1 -4 -2]] | 22/21 25/24 33/32 |
| Ferrum | 1.443 | 20.107 | 30.883 | [⟨5 8 0 14 6], ⟨0 0 1 0 1]] | 28/27 35/33 49/48 |
| Decibel | 1.461 | 20.670 | 32.385 | [⟨2 0 3 4 7], ⟨0 2 1 1 0]] | 25/24 35/33 49/48 |
| Octokaidecal variant | 1.495 | 19.317 | 31.468 | [⟨2 0 -5 -4 -6], ⟨0 1 3 3 4]] | 22/21 28/27 50/49 |
| Sharpie variant | 1.500 | 19.693 | 32.239 | [⟨1 1 2 1 4], ⟨0 2 1 6 -2]] | 25/24 28/27 33/32 |
| August | 1.506 | 12.245 | 20.191 | [⟨3 0 7 -1 1], ⟨0 1 0 2 2]] | 36/35 45/44 56/55 |
| Domineering | 1.523 | 13.075 | 21.978 | [⟨1 0 -4 6 -6], ⟨0 1 4 -2 6]] | 36/35 45/44 64/63 |
| Jamesbond | 1.564 | 13.396 | 23.524 | [⟨7 11 16 0 24], ⟨0 0 0 1 0]] | 25/24 33/32 45/44 |
| Diminished | 1.582 | 12.367 | 22.132 | [⟨4 0 3 5 14], ⟨0 1 1 1 0]] | 36/35 50/49 56/55 |
| Armodue | 1.603 | 14.879 | 27.211 | [⟨1 0 7 -5 5], ⟨0 1 -3 5 -1]] | 33/32 36/35 45/44 |
| Dichotic | 1.630 | 16.311 | 30.680 | [⟨1 1 2 4 2], ⟨0 2 1 -4 5]] | 25/24 45/44 64/63 |
| Opossum | 1.692 | 11.146 | 22.325 | [⟨1 2 3 4 4], ⟨0 -3 -5 -9 -4]] | 28/27 55/54 77/75 |
| Octokaidecal | 1.698 | 15.008 | 30.235 | [⟨2 0 -5 -4 7], ⟨0 1 3 3 0]] | 28/27 50/49 55/54 |
| Pajaric | 1.722 | 11.548 | 23.798 | [⟨2 0 11 12 7], ⟨0 1 -2 -2 0]] | 45/44 50/49 56/55 |
| Progression | 1.749 | 12.314 | 26.050 | [⟨1 1 2 2 3], ⟨0 5 3 7 4]] | 36/35 56/55 77/75 |
| Decimal | 1.751 | 12.599 | 26.712 | [⟨2 0 3 4 -1], ⟨0 2 1 1 5]] | 25/24 45/44 49/48 |
| Blackwood | 1.825 | 10.850 | 24.641 | [⟨5 8 0 14 29], ⟨0 0 1 0 -1]] | 28/27 49/48 55/54 |
| Demolished | 1.831 | 11.635 | 26.574 | [⟨4 0 3 5 -5], ⟨0 1 1 1 3]] | 36/35 45/44 50/49 |
| Dominant | 1.864 | 10.279 | 24.180 | [⟨1 0 -4 6 13], ⟨0 1 4 -2 -6]] | 36/35 56/55 64/63 |
| Decimated | 1.886 | 13.109 | 31.456 | [⟨2 0 3 4 10], ⟨0 2 1 1 -2]] | 25/24 33/32 49/48 |
| Meanenneadecal | 1.918 | 8.680 | 21.423 | [⟨1 0 -4 -13 -6], ⟨0 1 4 10 6]] | 45/44 56/55 81/80 |
| Sidi | 1.958 | 12.902 | 32.957 | [⟨1 3 3 6 7], ⟨0 -4 -2 -9 -10]] | 25/24 45/44 99/98 |
| Ferrier | 1.993 | 11.103 | 29.200 | [⟨5 8 0 14 -6], ⟨0 0 1 0 2]] | 28/27 49/48 77/75 |
| Superpelog | 2.016 | 10.640 | 28.535 | [⟨1 0 7 2 5], ⟨0 2 -6 1 -2]] | 33/32 45/44 99/98 |
| Negri | 2.038 | 9.594 | 26.190 | [⟨1 2 2 3 4], ⟨0 -4 3 -2 -5]] | 45/44 49/48 56/55 |
| Inflated | 2.102 | 10.843 | 31.171 | [⟨3 0 7 -6 -4], ⟨0 1 0 3 3]] | 28/27 55/54 128/125 |
| Injera | 2.153 | 7.728 | 23.124 | [⟨2 0 -8 -7 -12], ⟨0 1 4 4 6]] | 45/44 50/49 99/98 |
| Negric | 2.198 | 9.886 | 30.617 | [⟨1 2 2 3 3], ⟨0 -4 3 -2 4]] | 33/32 49/48 77/75 |
| Triforce | 2.201 | 8.427 | 26.152 | [⟨3 0 7 6 8], ⟨0 2 0 1 1]] | 56/55 77/75 128/125 |
| Duodecim | 2.201 | 9.839 | 30.536 | [⟨12 19 28 34 0], ⟨0 0 0 0 1]] | 36/35 50/49 64/63 |
| Meantone extension | 2.204 | 10.143 | 31.539 | [⟨1 0 -4 -13 5], ⟨0 1 4 10 -1]] | 33/32 55/54 77/75 |
| Semafour | 2.212 | 9.111 | 28.510 | [⟨1 0 -4 2 5], ⟨0 2 8 1 -2]] | 33/32 49/48 55/54 |
| Augene | 2.286 | 5.932 | 19.613 | [⟨3 0 7 18 20], ⟨0 1 0 -2 -2]] | 56/55 64/63 100/99 |
| Godzilla | 2.343 | 8.404 | 28.947 | [⟨1 0 -4 2 -6], ⟨0 2 8 1 12]] | 45/44 49/48 81/80 |
| Darjeeling | 2.347 | 8.002 | 27.648 | [⟨1 0 1 2 0], ⟨0 6 5 3 13]] | 49/48 55/54 77/75 |
| Progress | 2.399 | 8.662 | 31.036 | [⟨1 0 5 6 4], ⟨0 3 -5 -6 -1]] | 56/55 64/63 77/75 |
| Hedgehog | 2.439 | 6.273 | 23.095 | [⟨2 1 1 2 4], ⟨0 3 5 5 4]] | 50/49 55/54 99/98 |
| Keemun | 2.468 | 7.298 | 27.410 | [⟨1 0 1 2 4], ⟨0 6 5 3 -2]] | 49/48 56/55 100/99 |
| Porcupine | 2.478 | 5.703 | 21.562 | [⟨1 2 3 2 4], ⟨0 -3 -5 6 -4]] | 55/54 64/63 100/99 |
| Pajara | 2.543 | 5.151 | 20.343 | [⟨2 0 11 12 26], ⟨0 1 -2 -2 -6]] | 50/49 99/98 176/175 |
| Nautilus | 2.548 | 6.568 | 26.023 | [⟨1 2 3 3 4], ⟨0 -6 -10 -3 -8]] | 49/48 55/54 245/242 |
| Pajarous | 2.718 | 6.427 | 28.349 | [⟨2 0 11 12 -9], ⟨0 1 -2 -2 5]] | 50/49 55/54 64/63 |
| Telepathy | 2.864 | 5.631 | 27.109 | [⟨1 0 2 -1 -1], ⟨0 5 1 12 14]] | 55/54 99/98 176/175 |
| Sensis | 2.980 | 5.578 | 28.680 | [⟨1 6 8 11 6], ⟨0 -7 -9 -13 -4]] | 56/55 100/99 245/243 |
| Suprapyth | 3.011 | 6.264 | 32.768 | [⟨1 0 -12 6 13], ⟨0 1 9 -2 -6]] | 55/54 64/63 99/98 |
| Porky | 3.020 | 5.186 | 27.268 | [⟨1 2 3 5 4], ⟨0 -3 -5 -16 -4]] | 55/54 100/99 225/224 |
| Meantone | 3.031 | 3.218 | 17.027 | [⟨1 0 -4 -13 -25], ⟨0 1 4 10 18]] | 81/80 99/98 126/125 |
| Ringo | 3.126 | 5.902 | 32.863 | [⟨1 1 5 4 2], ⟨0 2 -9 -4 5]] | 56/55 64/63 540/539 |
| Orwell | 3.242 | 2.574 | 15.231 | [⟨1 0 3 1 3], ⟨0 7 -3 8 2]] | 99/98 121/120 176/175 |
| Doublewide | 3.407 | 4.988 | 32.058 | [⟨2 1 3 4 8], ⟨0 4 3 3 -2]] | 50/49 99/98 385/384 |
| Superpyth | 3.410 | 3.880 | 24.976 | [⟨1 0 -12 6 -22], ⟨0 1 9 -2 16]] | 64/63 100/99 245/243 |
| Squares | 3.486 | 3.240 | 21.636 | [⟨1 3 8 6 7], ⟨0 -4 -16 -9 -10]] | 81/80 99/98 121/120 |
| Quasisupra | 3.490 | 4.812 | 32.203 | [⟨1 0 23 6 13], ⟨0 1 -13 -2 -6]] | 64/63 99/98 121/120 |
| Valentine | 3.651 | 2.313 | 16.687 | [⟨1 1 2 3 3], ⟨0 9 5 -3 7]] | 121/120 126/125 176/175 |
| Magic | 3.715 | 2.741 | 20.352 | [⟨1 0 2 -1 6], ⟨0 5 1 12 -8]] | 100/99 225/224 245/243 |
| Meanpop | 3.820 | 2.770 | 21.543 | [⟨1 0 -4 -13 24], ⟨0 1 4 10 -13]] | 81/80 126/125 385/384 |
| Mohajira | 3.863 | 3.288 | 26.064 | [⟨1 1 0 6 2], ⟨0 2 8 -11 5]] | 81/80 121/120 176/175 |
| Andromeda | 3.897 | 2.929 | 23.556 | [⟨1 0 15 25 32], ⟨0 1 -8 -14 -18]] | 100/99 225/224 245/242 |
| Nusecond | 3.927 | 3.146 | 25.621 | [⟨1 3 4 5 5], ⟨0 -11 -13 -17 -12]] | 99/98 121/120 126/125 |
| Migration | 3.935 | 3.123 | 25.516 | [⟨1 1 0 -3 2], ⟨0 2 8 20 5]] | 81/80 121/120 126/125 |
| Mothra | 3.990 | 3.066 | 25.642 | [⟨1 1 0 3 5], ⟨0 3 12 -1 -8]] | 81/80 99/98 385/384 |
| Octacot | 4.070 | 2.785 | 24.078 | [⟨1 1 1 2 2], ⟨0 8 18 11 20]] | 100/99 243/242 245/242 |
| Myna | 4.127 | 1.903 | 16.842 | [⟨1 9 9 8 22], ⟨0 -10 -9 -7 -25]] | 126/125 176/175 243/242 |
| Superkleismic | 4.137 | 2.888 | 25.659 | [⟨1 4 5 2 4], ⟨0 -9 -10 3 -2]] | 100/99 245/242 385/384 |
| Würschmidt | 4.344 | 2.533 | 24.413 | [⟨1 7 3 15 17], ⟨0 -8 -1 -18 -20]] | 99/98 176/175 243/242 |
| Miracle | 4.405 | 1.083 | 10.684 | [⟨1 1 3 3 2], ⟨0 6 -7 -2 15]] | 225/224 243/242 385/384 |
| Mosura | 4.411 | 3.170 | 31.334 | [⟨1 1 0 3 -1], ⟨0 3 12 -1 23]] | 81/80 176/175 540/539 |
| Sensus | 4.503 | 2.882 | 29.486 | [⟨1 6 8 11 23], ⟨0 -7 -9 -13 -31]] | 126/125 176/175 245/243 |
| Shrutar | 4.530 | 2.563 | 26.489 | [⟨2 1 9 -2 8], ⟨0 2 -4 7 -1]] | 121/120 176/175 245/243 |
| Revelation | 4.531 | 3.187 | 32.946 | [⟨1 1 3 3 5], ⟨0 6 -7 -2 -16]] | 99/98 176/175 1029/1024 |
| Tritonic | 4.596 | 2.234 | 23.659 | [⟨1 4 -3 -3 2], ⟨0 -5 11 12 3]] | 121/120 225/224 441/440 |
| Bunya | 4.833 | 2.722 | 31.332 | [⟨1 1 1 -1 2], ⟨0 4 9 26 10]] | 100/99 225/224 243/242 |
| Diaschismic | 5.048 | 2.023 | 25.034 | [⟨2 0 11 31 45], ⟨0 1 -2 -8 -12]] | 126/125 176/175 896/891 |
| Septimin | 5.089 | 2.496 | 31.309 | [⟨1 4 1 5 5], ⟨0 -11 6 -10 -7]] | 225/224 385/384 2401/2376 |
| Witchcraft | 5.419 | 2.204 | 30.706 | [⟨1 0 2 -1 -7], ⟨0 5 1 12 33]] | 225/224 245/243 441/440 |
| Thuja | 5.622 | 2.233 | 33.078 | [⟨1 8 5 -2 4], ⟨0 -12 -5 9 -1]] | 126/125 176/175 1344/1331 |
| Hemiwur | 5.723 | 1.918 | 29.270 | [⟨1 15 4 7 11], ⟨0 -16 -2 -5 -9]] | 121/120 176/175 1375/1372 |
| Rodan | 5.754 | 1.500 | 23.093 | [⟨1 1 -1 3 6], ⟨0 3 17 -1 -13]] | 245/243 385/384 441/440 |
| Echidna | 5.898 | 1.620 | 25.987 | [⟨2 1 9 2 12], ⟨0 3 -6 5 -7]] | 176/175 540/539 896/891 |
| Semisept | 5.969 | 1.373 | 22.476 | [⟨1 12 6 12 20], ⟨0 -17 -6 -15 -27]] | 176/175 540/539 1331/1323 |
| Newspeak | 6.006 | 1.901 | 31.438 | [⟨1 0 3 1 -4], ⟨0 7 -3 8 33]] | 225/224 441/440 1728/1715 |
| Hemififths | 6.148 | 1.367 | 23.498 | [⟨1 1 -5 -1 2], ⟨0 2 25 13 5]] | 243/242 441/440 896/891 |
| Garibaldi | 6.365 | 1.504 | 27.396 | [⟨1 0 15 25 -33], ⟨0 1 -8 -14 23]] | 225/224 385/384 2200/2187 |
| Wizard | 6.421 | 1.003 | 18.539 | [⟨2 1 5 2 8], ⟨0 6 -1 10 -3]] | 225/224 385/384 4000/3993 |
| Slender | 6.727 | 1.269 | 25.342 | [⟨1 2 2 3 4], ⟨0 -13 10 -6 -17]] | 225/224 385/384 1331/1323 |
| Compton | 6.767 | 1.102 | 22.235 | [⟨12 19 0 -22 -42], ⟨0 0 1 2 3]] | 225/224 441/440 4375/4356 |
| Hemithirds | 7.040 | .882 | 19.003 | [⟨1 4 2 2 7], ⟨0 -15 2 5 -22]] | 385/384 441/440 3136/3125 |
| Catakleismic | 7.254 | .965 | 21.849 | [⟨1 0 1 -3 9], ⟨0 6 5 22 -21]] | 225/224 385/384 4375/4374 |
| Harry | 7.373 | .682 | 15.867 | [⟨2 4 7 7 9], ⟨0 -6 -17 -10 -15]] | 243/242 441/440 4000/3993 |
| Pluto | 7.524 | 1.24 | 29.844 | [⟨1 5 15 15 2], ⟨0 -7 -26 -25 3]] | 540/539 896/891 1375/1372 |
| Unidec | 7.532 | .642 | 15.479 | [⟨2 5 8 5 6], ⟨0 -6 -11 2 3]] | 385/384 441/440 4375/4374 |
| Ennealimnic | 7.578 | .835 | 20.347 | [⟨9 1 1 12 -2], ⟨0 2 3 2 5]] | 243/242 441/440 4375/4356 |
| Tritikleismic | 7.587 | .792 | 19.333 | [⟨3 0 3 10 8], ⟨0 6 5 -2 3]] | 385/384 441/440 4000/3993 |
| Hemiwürschmidt | 7.793 | .825 | 21.069 | [⟨1 15 4 7 37], ⟨0 -16 -2 -5 -40]] | 243/242 441/440 3136/3125 |
| Marvolo | 7.935 | 1.101 | 28.965 | [⟨1 2 1 1 2], ⟨0 -6 19 26 21]] | 225/224 441/440 4000/3993 |
| Bikleismic | 8.191 | 1.057 | 29.319 | [⟨2 0 2 -6 -1], ⟨0 6 5 22 15]] | 225/224 243/242 4375/4356 |
| Catalytic | 8.212 | 1.092 | 30.422 | [⟨1 0 1 -3 -10], ⟨0 6 5 22 51]] | 225/224 441/440 4375/4374 |
| Enneaportent | 8.286 | 1.076 | 30.426 | [⟨9 0 28 11 24], ⟨0 2 -1 2 1]] | 225/224 385/384 12005/11979 |
| Marvo | 8.731 | 1.027 | 31.685 | [⟨1 5 12 29 12], ⟨0 -6 -17 -46 -15]] | 225/224 243/242 4000/3993 |
| Octoid | 9.170 | .421 | 14.097 | [⟨8 1 3 3 16], ⟨0 3 4 5 3]] | 540/539 1375/1372 4000/3993 |
| Tertia | 9.182 | .899 | 30.171 | [⟨1 3 2 3 5], ⟨0 -22 5 -3 -24]] | 385/384 1331/1323 1375/1372 |
| Guiron | 9.377 | .767 | 26.648 | [⟨1 1 7 3 -2], ⟨0 3 -24 -1 28]] | 385/384 441/440 10976/10935 |
| Neominor | 9.493 | .788 | 27.959 | [⟨1 3 12 8 7], ⟨0 -6 -41 -22 -15]] | 243/242 441/440 35937/35840 |
| Grendel | 9.729 | .537 | 19.845 | [⟨1 9 2 7 17], ⟨0 -23 1 -13 -42]] | 540/539 1375/1372 5632/5625 |
| Hemiseven | 9.733 | .770 | 28.467 | [⟨1 4 14 2 -5], ⟨0 -6 -29 2 21]] | 385/384 441/440 19683/19600 |
| Sqrtphi | 9.756 | .687 | 25.515 | [⟨1 12 11 16 17], ⟨0 -30 -25 -38 -39]] | 540/539 1375/1372 4375/4356 |
| Bicommatic | 9.831 | .810 | 30.461 | [⟨2 3 4 5 6], ⟨0 5 19 18 27]] | 441/440 3388/3375 8019/8000 |
| Sesquart | 9.891 | .772 | 29.306 | [⟨1 1 7 5 2], ⟨0 4 -32 -15 10]] | 243/242 441/440 16384/16335 |
| Quadritikleismic | 10.315 | .575 | 23.406 | [⟨4 0 4 7 17], ⟨0 6 5 4 -3]] | 385/384 1375/1372 9801/9800 |
| Mirkat | 10.575 | .521 | 22.126 | [⟨3 2 1 2 9], ⟨0 6 13 14 3]] | 540/539 1375/1372 8019/8000 |
| Bisupermajor | 10.578 | .755 | 32.080 | [⟨2 1 6 1 8], ⟨0 8 -5 17 -4]] | 385/384 3388/3375 9801/9800 |
| Cotritone | 10.735 | .740 | 32.225 | [⟨1 17 9 10 5], ⟨0 -30 -13 -14 -3]] | 385/384 1375/1372 4000/3993 |
| Kwai | 11.134 | .567 | 26.219 | [⟨1 0 -50 -40 32], ⟨0 1 33 27 -18]] | 540/539 1375/1372 16384/16335 |
| Triwell | 11.163 | .642 | 29.807 | [⟨1 7 0 1 13], ⟨0 -21 9 7 -37]] | 385/384 441/440 456533/455625 |
| Supers | 11.476 | .580 | 28.240 | [⟨2 1 -12 2 -9], ⟨0 3 23 5 22]] | 540/539 4000/3993 5120/5103 |
| Ennealiminal | 11.678 | .621 | 31.123 | [⟨9 1 1 12 51], ⟨0 2 3 2 -3]] | 385/384 1375/1372 4375/4374 |
| Bischismic | 11.743 | .557 | 28.160 | [⟨2 0 30 69 102], ⟨0 1 -8 -20 -30]] | 441/440 3136/3125 8019/8000 |
| Septisuperfourth | 12.086 | .464 | 24.619 | [⟨2 4 4 7 6], ⟨0 -9 7 -15 10]] | 540/539 4000/3993 5632/5625 |
| Amity | 12.537 | .559 | 31.506 | [⟨1 3 6 -2 21], ⟨0 -5 -13 17 -62]] | 540/539 5120/5103 5632/5625 |
| Quincy | 12.684 | .537 | 30.875 | [⟨1 2 3 3 4], ⟨0 -30 -49 -14 -39]] | 441/440 4000/3993 41503/41472 |
| Octowerck | 13.282 | .486 | 30.159 | [⟨8 0 -11 14 15], ⟨0 3 7 2 3]] | 441/440 8019/8000 41503/41472 |
| Hemiamity | 13.714 | .478 | 31.307 | [⟨2 1 -1 13 13], ⟨0 5 13 -17 -14]] | 3025/3024 4375/4374 5120/5103 |
| Eris | 13.875 | .414 | 27.621 | [⟨1 10 0 6 20], ⟨0 -29 8 -11 -57]] | 540/539 1375/1372 65625/65536 |
| Unthirds | 14.390 | .323 | 22.926 | [⟨1 29 33 25 25], ⟨0 -42 -47 -34 -33]] | 2401/2400, 3025/3024, 4000/3993 |
| Alphaquarter | 14.588 | .408 | 29.638 | [⟨1 2 2 0 3], ⟨0 -9 7 61 10]] | 3025/3024 4000/3993 5120/5103 |
| Hemiennealimmal | 14.648 | .086 | 6.283 | [⟨18 0 -1 22 48], ⟨0 2 3 2 1]] | 2401/2400 3025/3024 4375/4374 |
| Vishnu | 14.963 | .187 | 14.180 | [⟨2 4 5 10 10], ⟨0 -7 -3 -37 -26]] | 3025/3024 4375/4374 5632/5625 |
| Quanharuk | 15.170 | .407 | 31.549 | [⟨1 0 15 12 -7], ⟨0 5 -40 -29 33]] | 540/539 1375/1372 32805/32768 |
| Stearnscape | 15.352 | .406 | 32.096 | [⟨6 3 2 6 11], ⟨0 6 11 10 9]] | 540/539 4000/3993 137781/137500 |
| Pogo | 15.953 | .378 | 31.857 | [⟨2 1 22 2 25], ⟨0 3 -24 5 -25]] | 540/539 4000/3993 32805/32768 |
Junk temperaments
| Name | Complexity | Error (¢) | Badness (×1k) | Mapping | Commas |
|---|---|---|---|---|---|
| .193 | 327.406 | 17.646 | [⟨1 2 2 3 0], ⟨0 0 0 0 1]] | 4/3 5/3 7/6 | |
| .228 | 385.465 | 27.274 | [⟨1 2 2 0 3], ⟨0 0 0 1 0]] | 4/3 5/3 11/6 | |
| .267 | 336.13 | 30.988 | [⟨1 2 2 0 1], ⟨0 0 0 1 1]] | 4/3 5/3 14/11 | |
| .319 | 218.143 | 27.130 | [⟨1 2 0 3 1], ⟨0 0 1 0 1]] | 4/3 7/6 11/10 | |
| .324 | 253.143 | 32.311 | [⟨1 2 0 0 1], ⟨0 0 1 1 1]] | 4/3 7/5 11/10 | |
| .328 | 164.655 | 21.432 | [⟨1 0 1 1 2], ⟨0 1 1 1 1]] | 6/5 7/5 11/10 | |
| .354 | 167.706 | 24.774 | [⟨1 0 2 1 2], ⟨0 1 0 1 1]] | 5/4 7/6 12/11 | |
| .369 | 153.296 | 24.223 | [⟨1 0 2 1 3], ⟨0 1 0 1 0]] | 5/4 7/6 11/8 | |
| .375 | 124.872 | 20.250 | [⟨2 3 5 6 0], ⟨0 0 0 0 1]] | 6/5 8/7 9/7 | |
| .390 | 188.818 | 32.775 | [⟨1 0 2 3 2], ⟨0 1 0 0 1]] | 5/4 8/7 12/11 | |
| .406 | 110.926 | 20.608 | [⟨1 0 1 3 2], ⟨0 1 1 0 1]] | 6/5 8/7 11/10 | |
| .408 | 125.430 | 23.415 | [⟨1 0 1 0 2], ⟨0 1 1 2 1]] | 6/5 9/7 11/10 | |
| .452 | 94.454 | 20.943 | [⟨1 0 -1 1 0], ⟨0 1 2 1 2]] | 7/6 10/9 11/9 | |
| .455 | 110.141 | 24.702 | [⟨2 3 5 0 7], ⟨0 0 0 1 0]] | 6/5 9/8 11/10 | |
| .471 | 104.885 | 24.915 | [⟨1 0 -1 1 2], ⟨0 1 2 1 1]] | 7/6 10/9 12/11 | |
| .483 | 125.665 | 31.158 | [⟨1 0 1 0 -1], ⟨0 1 1 2 3]] | 6/5 9/7 22/21] | |
| .508 | 117.970 | 31.811 | [⟨2 3 5 0 1], ⟨0 0 0 1 1]] | 6/5 9/8 22/21 | |
| .549 | 103.420 | 31.715 | [⟨2 3 0 6 7], ⟨0 0 1 0 0]] | 8/7 9/7 12/11 | |
| .550 | 86.198 | 26.496 | [⟨3 5 7 8 0], ⟨0 0 0 0 1]] | 7/6 10/9 16/15 | |
| Antietam | .557 | 60.511 | 18.993 | [⟨2 3 0 1 2], ⟨0 0 1 1 1]] | 9/8 11/10 15/14 |
| .567 | 71.691 | 23.207 | [⟨1 0 -1 3 2], ⟨0 1 2 0 1]] | 8/7 10/9 12/11 | |
| .574 | 93.134 | 30.760 | [⟨1 0 -1 3 0], ⟨0 1 2 0 2]] | 8/7 10/9 11/9 | |
| .575 | 60.585 | 20.049 | [⟨1 0 4 3 2], ⟨0 1 -1 0 1]] | 8/7 12/11 15/14 | |
| .588 | 78.370 | 26.952 | [⟨1 0 4 3 5], ⟨0 1 -1 0 -1]] | 8/7 11/10 15/14 | |
| Antitonic | .606 | 60.327 | 21.810 | [⟨2 3 0 1 7], ⟨0 0 1 1 0]] | 9/8 12/11 15/14 |
| .622 | 69.361 | 26.170 | [⟨1 0 -1 -2 2], ⟨0 1 2 3 1]] | 10/9 12/11 15/14 | |
| .645 | 82.949 | 33.250 | [⟨1 0 -1 1 5], ⟨0 1 2 1 -1]] | 7/6 10/9 33/32 |