List of 12et rank two temperaments by complexity
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Below are listed rank-two temperaments supported by the 12edo patent val, below the indicated cutoff in TE logflat 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 | Comma List |
|---|---|---|---|
| 1 | Meantone | 1.523 | 81/80 |
| 2 | Augmented | 1.549 | 128/125 |
| 3 | Diminished | 1.826 | 648/625 |
| 4 | Srutal | 2.121 | 2048/2025 |
| 5 | Helmholtz | 3.103 | 32805/32768 |
| 6 | Atomic | 33.065 | [161 -84 -12⟩ |
7-limit temperaments with badness below 0.06
Listed is the TE complexity for 18 temperaments with badness less than 0.06.
| Rank | Name | Complexity | Comma List |
|---|---|---|---|
| 1 | Dominant | 1.466 | 36/35 64/63 |
| 2 | Diminished | 1.494 | 36/35 50/49 |
| 3 | August | 1.655 | 36/35 128/125 |
| 4 | Pajara | 1.953 | 50/49 64/63 |
| 5 | Meantone | 2.204 | 81/80 126/125 |
| 6 | Injera | 2.205 | 50/49 81/80 |
| 7 | Augene | 2.336 | 64/63 126/125 |
| 8 | Ripple | 2.454 | 36/35 2560/2401 |
| 9 | Schism | 2.544 | 64/63 360/343 |
| 10 | Hexe | 2.689 | 50/49 128/125 |
| 11 | Catler | 3.026 | 81/80 128/125 |
| 12 | Misty | 3.656 | 3136/3125 5120/5103 |
| 13 | Garibaldi | 3.823 | 225/224 3125/3087 |
| 14 | Diaschismic | 4.290 | 126/125 2048/2025 |
| 15 | Compton | 5.927 | 225/224 250047/250000 |
| 16 | Bidia | 5.940 | 2048/2025 3136/3125 |
| 17 | Bischismic | 10.110 | 3136/3125 32805/32768 |
| 18 | Term | 13.877 | 32805/32768 250047/250000 |
11-limit temperaments with badness below 0.05
Listed is the TE complexity for 40 temperaments with badness less than 0.05.