List of 37et rank two temperaments by badness

Below are listed rank-two temperaments supported by the 37edo patent val, below the indicated cutoff in TE badness.

5-limit temperaments with badness below 0.1

Listed is the TE badness times 1000 for two temperaments with badness less than 0.1.

1	Porcupine	30.778	250/243
2	Würschmidt	40.603	393216/390625

7-limit temperaments with badness below 0.06

Listed is the TE badness times 1000 for four temperaments with badness less than 0.06.

Rank	Name	Badness	Commas
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 with badness below 0.05

Listed is the TE badness times 1000 for nine temperaments with badness less than 0.05.

Rank	Name	Badness	Commas
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 with badness below 0.04

Listed is the TE badness times 1000 for 22 temperaments with badness less than 0.04.

Rank

Name

Badness

Commas

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