List of 37et rank two temperaments by badness
Below are listed rank-2 temperaments supported by the 37edo patent val, below the indicated cutoff in TE logflat badness.
5-limit temperaments
Listed is the TE badness times 1000 for 2 temperaments with badness less than 0.1.
| Rank | Name | Badness | Comma List |
|---|---|---|---|
| 1 | Porcupine | 30.778 | 250/243 |
| 2 | Würschmidt | 40.603 | 393216/390625 |
7-limit temperaments
Listed is the TE badness times 1000 for 4 temperaments with badness less than 0.06.
| Rank | Name | Badness | Comma List |
|---|---|---|---|
| 1 | Hemiwürschmidt | 20.307 | 2401/2400 3136/3125 |
| 2 | Porcupine | 41.057 | 64/63 250/243 |
| 3 | Beatles | 45.872 | 64/63 686/675 |
| 4 | 56.890 | 2401/2400 133590662774784/133514404296875 |
11-limit temperaments
Listed is the TE badness times 1000 for nine temperaments with badness less than 0.05.
| Rank | Name | Badness | Comma List |
|---|---|---|---|
| 1 | Porcupine | 21.562 | 55/54 64/63 100/99 |
| 2 | Hemiwur | 29.270 | 121/120 176/175 1375/1372 |
| 3 | Cotritone | 32.225 | 385/384 1375/1372 4000/3993 |
| 4 | Twothirdtonic | 40.768 | 121/120 176/175 686/675 |
| 5 | Passion | 40.809 | 64/63 100/99 1375/1372 |
| 6 | 43.106 | 2401/2400 43923/43904 172032/171875 | |
| 7 | Quasitemp | 43.209 | 100/99 385/384 1375/1372 |
| 8 | Beatles | 45.639 | 64/63 100/99 686/675 |
| 9 | Ammonite | 45.694 | 55/54 100/99 686/675 |
13-limit temperaments
Listed is the TE badness times 1000 for 22 temperaments with badness less than 0.04.
| Rank | Name | Badness | Comma List |
|---|---|---|---|
| 1 | Porcupinefish | 25.314 | 55/54 64/63 91/90 100/99 |
| 2 | Twothirdtonic | 25.941 | 91/90 121/120 169/168 176/175 |
| 4 | Ammonite | 27.168 | 55/54 91/90 100/99 169/168 |
| 6 | Hemiwur | 28.432 | 121/120 176/175 196/195 275/273 |
| 7 | Cotritone | 28.683 | 169/168 364/363 1001/1000 1716/1715 |
| 8 | Emka | 29.741 | 196/195 364/363 385/384 625/624 |
| 9 | Beatles | 30.161 | 64/63 91/90 100/99 169/168 |
| 10 | Passion | 30.886 | 64/63 100/99 196/195 275/273 |
| 12 | Semaja | 32.564 | 121/120 169/168 176/175 275/273 |