List of 24et rank two temperaments by badness
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Below are listed rank-2 temperaments supported by the 24edo patent val, below the indicated cutoff in TE badness.
7-limit temperaments with badness below 0.06
Listed is the wedgie and the TE badness times 1000 for six temperaments with badness less than 0.06.
| # | Wedgie | Name | Badness | Comma list |
|---|---|---|---|---|
| 1 | ⟨⟨ 2 8 1 8 -4 -20 ]] | Godzilla | 26.747 | 49/48 81/80 |
| 2 | ⟨⟨ 2 -16 25 -30 34 103 ]] | Hemischis | 45.817 | 6144/6125 19683/19600 |
| 3 | ⟨⟨ 4 -8 14 -22 11 55 ]] | Shrutar | 47.377 | 245/243 2048/2025 |
| 4 | ⟨⟨ 0 0 12 0 19 28 ]] | Catler | 50.297 | 81/80 128/125 |
| 5 | ⟨⟨ 6 0 3 -14 -12 7 ]] | Triforce | 54.988 | 49/48 128/125 |
| 6 | ⟨⟨ 2 8 -11 8 -23 -48 ]] | Mohajira | 55.714 | 81/80 6144/6125 |
11-limit temperaments with badness below 0.05
Listed is the wedgie and the TE badness times 1000 for 17 temperaments with badness less than 0.05.
| # | Wedgie | Name | Badness | Comma list |
|---|---|---|---|---|
| 1 | ⟨⟨ 2 8 -11 5 8 -23 1 -48 -16 52 ]] | Mohajira | 26.064 | 81/80 121/120 176/175 |
| 2 | ⟨⟨ 6 0 3 3 -14 -12 -16 7 7 -2 ]] | Triforce | 26.152 | 49/48 56/55 77/75 |
| 3 | ⟨⟨ 4 -8 14 -2 -22 11 -17 55 23 -54 ]] | Shrutar | 26.489 | 121/120 176/175 245/243 |
| 4 | ⟨⟨ 0 0 12 12 0 19 19 28 28 -8 ]] | Catnip | 34.478 | 56/55 81/80 128/125 |
| 5 | ⟨⟨ 2 8 1 -7 8 -4 -18 -20 -44 -23 ]] | Baragon | 35.673 | 49/48 56/55 81/80 |
| 6 | ⟨⟨ 2 8 13 5 8 15 1 8 -16 -31 ]] | Mohamaq | 36.207 | 56/55 77/75 243/242 |
| 7 | ⟨⟨ 0 24 -24 0 38 -38 0 -123 -83 83 ]] | Hours | 36.248 | 243/242 385/384 9801/9800 |
| 8 | ⟨⟨ 4 -32 38 -2 -60 49 -17 178 106 -137 ]] | Kleischismic | 36.749 | 385/384 9801/9800 14641/14580 |
| 9 | ⟨⟨ 6 0 15 15 -14 7 3 35 35 -10 ]] | Hemiaug | 38.232 | 56/55 128/125 245/243 |
| 10 | ⟨⟨ 2 -16 13 5 -30 15 1 75 67 -31 ]] | Salsa | 39.444 | 243/242 245/242 385/384 |
| 11 | ⟨⟨ 2 8 1 17 8 -4 20 -20 12 44 ]] | Varan | 39.647 | 49/48 77/75 81/80 |
| 12 | ⟨⟨ 4 -8 26 10 -22 30 2 83 51 -62 ]] | Sruti | 41.459 | 176/175 243/242 896/891 |
| 13 | ⟨⟨ 4 16 2 10 16 -8 2 -40 -32 21 ]] | 42.259 | 49/48 81/80 121/120 | |
| 14 | ⟨⟨ 8 -64 88 8 -120 117 -15 384 240 -282 ]] | Octant | 44.778 | 9801/9800 32805/32768 46656/46585 |
| 15 | ⟨⟨ 8 8 16 8 -6 3 -15 15 -9 -33 ]] | Semidim | 47.598 | 56/55 77/75 245/243 |
| 16 | ⟨⟨ 8 -40 64 8 -82 79 -15 261 157 -199 ]] | Twilight | 48.007 | 6144/6125 9801/9800 19712/19683 |
| 17 | ⟨⟨ 4 -8 2 10 -22 -8 2 27 51 21 ]] | Anguirus | 49.253 | 49/48 56/55 243/242 |