List of 22et rank two temperaments by complexity
Jump to navigation
Jump to search
Below are listed rank-two temperaments supported by the 22edo patent val, below the indicated cutoff in TE badness.
5-limit temperaments with badness below 0.1
Listed is the TE complexity for six temperaments with badness less than 0.1.
| Rank | Name | Complexity | Commas |
| 1 | Porcupine | 1.663 | 250/243 |
| 2 | Srutal | 2.121 | 2048/2025 |
| 3 | Magic | 2.417 | 3125/3072 |
| 4 | Orson | 4.232 | 2109375/2097152 |
| 5 | Escapade | 6.243 | 4294967296/4271484375 |
| 6 | Kwazy | 10.454 | 9010162353515625/9007199254740992 |
7-limit temperaments with badness below 0.06
Listed is the TE complexity for 14 temperaments with badness less than 0.06.
| Rank | Name | Complexity | Commas |
| 1 | Pajara | 1.953 | 50/49 64/63 |
| 2 | Hedgehog | 2.784 | 50/49 245/243 |
| 3 | Porcupine | 2.819 | 64/63 250/243 |
| 4 | Superpyth | 2.874 | 64/63 245/243 |
| 5 | Doublewide | 2.928 | 50/49 875/864 |
| 6 | Magic | 2.937 | 225/224 245/243 |
| 7 | Porky | 3.362 | 225/224 250/243 |
| 8 | Orwell | 3.685 | 225/224 1728/1715 |
| 9 | Shrutar | 5.101 | 245/243 2048/2025 |
| 10 | Echidna | 5.925 | 1728/1715 2048/2025 |
| 11 | Wizard | 6.372 | 225/224 118098/117649 |
| 12 | Hendecatonic | 8.442 | 6144/6125 10976/10935 |
| 13 | Septisuperfourth | 11.986 | 6144/6125 118098/117649 |
| 14 | Fifthplus | 14.679 | 65625/65536 420175/419904 |
11-limit temperaments with badness below 0.05
Listed is the TE complexity for 38 temperaments with badness less than 0.05.
| Rank | Name | Complexity | Commas |
| 1 | Hedgehog | 2.439 | 50/49 55/54 99/98 |
| 2 | Porcupine | 2.478 | 55/54 64/63 100/99 |
| 3 | Pajara | 2.543 | 50/49 64/63 99/98 |
| 4 | Pajarous | 2.718 | 50/49 55/54 64/63 |
| 5 | Telepathy | 2.864 | 55/54 99/98 176/175 |
| 6 | Suprapyth | 3.011 | 55/54 64/63 99/98 |
| 7 | Porky | 3.020 | 55/54 100/99 225/224 |
| 8 | Fleetwood | 3.081 | 50/49 55/54 176/175 |
| 9 | Orwell | 3.242 | 99/98 121/120 176/175 |
| 10 | Hemipaj | 3.389 | 50/49 64/63 121/120 |
| 11 | Doublewide | 3.407 | 50/49 99/98 875/864 |
| 12 | Superpyth | 3.410 | 64/63 100/99 245/243 |
| 13 | Quasisupra | 3.490 | 64/63 99/98 121/120 |
| 14 | Astrology | 3.575 | 50/49 121/120 176/175 |
| 17 | Magic | 3.715 | 100/99 225/224 245/243 |
| 19 | Shrutar | 4.530 | 121/120 176/175 245/243 |
| 25 | Echidna | 5.898 | 176/175 540/539 896/891 |
| 26 | Wizard | 6.421 | 225/224 385/384 4000/3993 |
| 33 | Septisuperfourth | 12.086 | 540/539 4000/3993 5632/5625 |
13-limit temperaments with badness below 0.04
Listed is the TE complexity for 40 temperaments with badness less than 0.04.
| Rank | Name | Complexity | Commas |
| 1 | Hedgehog | 2.196 | 50/49 55/54 65/63 99/98 |
| 2 | Pajarous | 2.481 | 50/49 55/54 64/63 65/63 |
| 3 | Porkpie | 2.487 | 55/54 64/63 65/63 100/99 |
| 4 | Pajara | 2.588 | 50/49 64/63 65/63 99/98 |
| 5 | Fleetwood | 2.861 | 50/49 55/54 65/63 176/175 |
| 6 | Blair | 2.911 | 65/64 78/77 91/90 99/98 |
| 7 | Telepathy | 2.980 | 55/54 65/64 91/90 99/98 |