List of 27edo rank two temperaments by badness

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Below are listed rank-2 temperaments supported by either the 27edo patent val or the 27e val, that is, the 27 43 63 76 94 100] val, below the indicated cutoff in TE logflat badness.

5-limit temperaments

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

Rank Name Badness Comma list
1 Ennealimmal 17.191 7629394531250/7625597484987
2 Augmented 22.315 128/125
3 Sensipent 35.220 78732/78125
4 Tetracot 48.518 20000/19683

7-limit temperaments

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

Rank Name Badness Comma list
1 Ennealimmal 3.610 2401/2400 4375/4374
2 Augene 24.816 64/63 126/125
3 Sensi 25.622 126/125 245/243
4 Myna 27.044 126/125 1728/1715
5 Superpyth 32.318 64/63 245/243
6 Octacot 33.845 245/243 2401/2400
7 Quartonic 42.632 1728/1715 4000/3969
8 Beatles 45.872 64/63 686/675

11-limit patent val temperaments

Listed is the TE badness times 1000 for ten 27edo patent val temperaments with badness less than 0.05.

Rank Name Badness Comma list
1 Trinealimmal 29.812 2401/2400 4375/4374 2097152/2096325
2 Ennealiminal 31.123 385/384 1375/1372 4375/4374
3 Suprapyth 32.768 55/54 64/63 99/98
4 Myno 33.434 99/98 126/125 385/384
5 Eugene 35.554 55/54 64/63 77/75
6 Sensa 36.835 55/54 77/75 99/98
7 Sensor 37.942 126/125 245/243 385/384

11-limit 27e temperaments

Listed is the TE badness times 1000 for 29 27e temperaments with badness less than 0.05.

Rank Name Badness Comma list
1 Myna 16.842 126/125 176/175 243/242
2 Augene 19.613 56/55 64/63 100/99
3 Ennealimnic 20.347 243/242 441/440 4375/4356
4 Quadraennealimmal 21.320 2401/2400 4375/4374 234375/234256
5 Octacot 24.078 100/99 243/242 245/242
6 Superpyth 24.976 64/63 100/99 245/243
7 Sensis 28.680 56/55 100/99 245/243
8 Sensus 29.486 126/125 176/175 245/243
9 Ringo 32.863 56/55 64/63 540/539
10 Quartonic 34.031 176/175 540/539 2200/2187
11 Niner 34.861 56/55 128/125 540/539
12 Modus 35.149 64/63 100/99 243/242

13-limit patent val temperaments

Listed is the TE badness times 1000 for 19 27edo patent val temperaments with badness less than 0.04.

Rank Name Badness Comma list
1 Sensa 23.258 55/54 66/65 77/75 143/140
2 Sensor 25.575 91/90 126/125 169/168 385/384

13-limit 27e temperaments

Listed is the TE badness times 1000 for 61 27e temperaments with badness less than 0.04.

Rank Name Badness Comma list
1 Myna 17.125 126/125 144/143 176/175 196/195
2 Sensis 20.017 56/55 78/77 91/90 100/99
4 Sensus 20.789 91/90 126/125 169/168 352/351