Mint temperaments
These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. 36 is both a square and a triangular number, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.
Progression[edit]
Comma: 3456/3125
POTE generator: ~25/24 = 140.995
Map: [<1 1 2|, <0 5 3|]
EDOs: 8, 9, 17c
Badness: 0.2005
7-limit[edit]
Commas: 36/35, 392/375
POTE generator: ~15/14 = 140.927
Map: [<1 1 2 2|, <0 5 3 7|]
Wedgie: <<5 3 7 -7 -3 8||
EDOs: 9, 17c
Badness: 0.0484
11-limit[edit]
Commas: 36/35, 56/55, 77/75
POTE generator: ~15/14 = 140.747
Map: [<1 1 2 2 3|, <0 5 3 7 4|]
EDOs: 8, 9, 17
Badness: 0.0261
13-limit[edit]
Commas: 26/25, 36/35, 56/55, 66/65
POTE generator: ~15/14 = 140.751
Map: Map: [<1 1 2 2 3 3|, <0 5 3 7 4 6|]
EDOs: 8, 9, 17
Badness: 0.0182
17-limit[edit]
Commas: 26/25, 36/35, 51/50, 56/55, 66/65
POTE generator: ~15/14 = 141.404
Map: [<1 1 2 2 3 3 4|, <0 5 3 7 4 6 1|]
EDOs: 8, 9, 17
Badness: 0.0167
19-limit[edit]
Commas: 26/25, 36/35, 51/50, 56/55, 57/55, 66/65
POTE generator: ~15/14 = 140.479
Map: [<1 1 2 2 3 3 4 4|, <0 5 3 7 4 6 1 2|]
EDOs: 8, 9, 17, 94
Badness: 0.0168
Ripple[edit]
Comma: 6561/6250
POTE generator: ~27/25 = 100.838
Map: [<1 2 3|, <0 -5 -8|]
EDOs: 12, 71b, 83b, 95b, 107bc, 119bc
Badness: 0.1389
7-limit[edit]
Commas: 36/35, 2560/2401
POTE generator: ~21/20 = 99.483
Map: [<1 2 3 3|, <0 -5 -8 -2|]
Wedgie: <<5 8 2 1 -11 -18||
Badness: 0.0597
11-limit[edit]
Commas: 36/35, 80/77, 126/121
POTE generator: ~21/20 = ~12/11 = 99.385
Map: [<1 2 3 3 4|, <0 -5 -8 -2 -6|]
EDOs: 12
Badness: 0.0388
13-limit[edit]
Commas: 36/35, 40/39, 66/65, 147/143
POTE generator: ~21/20 = ~12/11 = ~14/13 = 98.572
Map: [<1 2 3 3 4 4|, <0 -5 -8 -2 -6 -3|]
EDOs: 12f
Badness: 0.0316
Smate[edit]
Comma: 2048/1875
POTE generator: ~5/4 = 420.855
Map: [<1 3 2|, <0 -4 1|]
EDOs: 11, 14, 17c, 20c, 37c
Badness: 0.179
7-limit[edit]
Commas: 36/35, 2048/1875
POTE generator: ~5/4 = 422.275
Map: [<1 3 2 6|, <0 -4 1 -9|]
Wedgie: <<4 -1 9 -11 3 24||
EDOs: 14, 17c, 37cd
Badness: 0.0779
11-limit[edit]
Commas: 36/35 56/55 243/242
POTE generator: ~5/4 = 422.217
Map: [<1 3 2 6 7|, <0 -4 1 -9 -10|]
EDOs: 14, 17c, 37cde
Badness: 0.0425
13-limit[edit]
Commas: 26/25, 36/35, 56/55, 243/242
POTE generator: ~5/4 = 423.020
Map: [<1 3 2 6 7 3|, <0 -4 1 -9 -10 2|]
EDOs: 14, 17c
Badness: 0.0368
Hemismate[edit]
commas: 256/245, 392/375
POTE generator: ~8/7 = 210.452
Map: [<1 3 2 3|, <0 -8 2 -1|]
Wedgie: <<8 -2 1 -22 -21 8||
EDOs: 6, 11, 17c, 40bcd
Badness: 0.1543
11-limit[edit]
Commas: 56/55, 77/75, 256/245
POTE generator: ~8/7 = 210.481
Map: [<1 3 2 3 4|, <0 -8 2 -1 -3|]
EDOs: 6, 11, 17c, 40bcde
Badness: 0.0655
13-limit[edit]
Commas: 26/25, 56/55, 77/75, 256/245
POTE generator: ~8/7 = 210.974
Map: [<1 3 2 3 4 3|, <0 -8 2 -1 -3 4|]
EDOs: 6, 11, 17c
Badness: 0.0505
Subklei[edit]
Comma: 17496/15625
POTE generator: ~6/5 = 284.293
Map: [<1 3 4|, <0 -6 -7|]
EDOs: 4, 17c, 21, 38c
Badness: 0.3559
7-limit[edit]
Commas: 36/35, 1029/1000
POTE generator: ~6/5 = 284.219
Map: [<1 3 4 4|, <0 -6 -7 -5|]
Wedgie: <<6 7 5 -3 -9 -8||
EDOs: 4, 17c, 21, 38c
Badness: 0.0611
11-limit[edit]
Commas: 36/35, 77/75, 352/343
POTE generator: ~6/5 = 283.253
Map: [<1 3 4 4 7|, <0 -6 -7 -5 -15|]
EDOs: 17c, 55cd
Badness: 0.0447
Subkla[edit]
Commas: 36/35, 56/55, 1029/1000
POTE generator: ~6/5 = 283.822
Map: [<1 3 4 4 3|, <0 -6 -7 -5 2|]
EDOs: 4, 17c, 21, 38ce, 55cde
Badness: 0.0472
13-limit[edit]
Commas: 36/35, 56/55, 66/65, 640/637
POTE generator: ~6/5 = 283.882
Map: [<1 3 4 4 3 3|, <0 -6 -7 -5 2 3|]
EDOs: 4, 17c, 21, 38ce, 55cde
Badness: 0.0367
13-limit[edit]
Commas: 26/25, 36/35, 66/65, 352/343
POTE generator: ~6/5 = 282.856
Map: [<1 3 4 4 7 7|, <0 -6 -7 -5 -15 -14|]
EDOs: 17c
Badness: 0.0323
Slurpee[edit]
Comma: 177147/156250
POTE generator: ~27/25 = 72.742
Map: [<1 2 3|, <0 -7 -11|]
EDOs: 16, 17c, 33
Badness: 0.6893
7-limit[edit]
Commas: 36/35, 51200/50421
POTE generator: ~21/20 = 72.303
Map: [<1 2 3 3|, <0 -7 -11 -3|]
Wedgie: <<7 11 3 1 -15 -24||
EDOs: 16, 17c, 33, 50cd, 83bcd
Badness: 0.1149
11-limit[edit]
Commas: 36/35, 121/120, 352/343
POTE generator: ~21/20 = 72.297
Map: [<1 2 3 3 4|, <0 -7 -11 -3 -9|]
EDOs: 16, 17c, 33, 50cd, 83bcd
Badness: 0.0505
13-limit[edit]
Commas: 36/35. 66/65, 143/140, 352/343
POTE generator: ~21/20 = 72.409
Map: [<1 2 3 3 4 4|, <0 -7 -11 -3 -9 -5|]
EDOs: 16, 17c, 33, 83bcd
Badness: 0.0331