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
5-limit
Comma list: 3456/3125
POTE generator: ~25/24 = 140.995
Mapping: [⟨1 1 2], ⟨0 5 3]]
Badness: 0.2005
7-limit
Comma list: 36/35, 392/375
POTE generator: ~15/14 = 140.927
Mapping: [⟨1 1 2 2], ⟨0 5 3 7]]
Wedgie: ⟨⟨5 3 7 -7 -3 8]]
Badness: 0.0484
11-limit
Comma list: 36/35, 56/55, 77/75
POTE generator: ~12/11 = 140.747
Mapping: [⟨1 1 2 2 3], ⟨0 5 3 7 4]]
Badness: 0.0261
13-limit
Comma list: 26/25, 36/35, 56/55, 66/65
POTE generator: ~13/12 = 140.751
Mapping: [⟨1 1 2 2 3 3], ⟨0 5 3 7 4 6]]
Badness: 0.0182
17-limit
Comma list: 26/25, 36/35, 51/50, 56/55, 66/65
POTE generator: ~13/12 = 141.404
Mapping: [⟨1 1 2 2 3 3 4], ⟨0 5 3 7 4 6 1]]
Badness: 0.0167
19-limit
Comma list: 26/25, 36/35, 51/50, 56/55, 57/55, 66/65
POTE generator: ~13/12 = 140.479
Mapping: [⟨1 1 2 2 3 3 4 4], ⟨0 5 3 7 4 6 1 2]]
Badness: 0.0168
Ripple
5-limit
Comma list: 6561/6250
POTE generator: ~27/25 = 100.838
Mapping: [⟨1 2 3], ⟨0 -5 -8]]
Badness: 0.1389
7-limit
Comma list: 36/35, 2560/2401
POTE generator: ~21/20 = 99.483
Mapping: [⟨1 2 3 3], ⟨0 -5 -8 -2]]
Wedgie: ⟨⟨5 8 2 1 -11 -18]]
Badness: 0.0597
11-limit
Comma list: 36/35, 80/77, 126/121
POTE generator: ~21/20 = 99.385
Mapping: [⟨1 2 3 3 4], ⟨0 -5 -8 -2 -6]]
Badness: 0.0388
13-limit
Comma list: 36/35, 40/39, 66/65, 147/143
POTE generator: ~21/20 = 98.572
Mapping: [⟨1 2 3 3 4 4], ⟨0 -5 -8 -2 -6 -3]]
Badness: 0.0316
Smate
Comma list: 2048/1875
POTE generator: ~5/4 = 420.855
Mapping: [⟨1 3 2], ⟨0 -4 1]]
Badness: 0.179
7-limit
Comma list: 36/35, 2048/1875
POTE generator: ~5/4 = 422.275
Mapping: [⟨1 3 2 6], ⟨0 -4 1 -9]]
Wedgie: ⟨⟨4 -1 9 -11 3 24]]
Badness: 0.0779
11-limit
Comma list: 36/35 56/55 243/242
POTE generator: ~5/4 = 422.217
Mapping: [⟨1 3 2 6 7], ⟨0 -4 1 -9 -10]]
Badness: 0.0425
13-limit
Comma list: 26/25, 36/35, 56/55, 243/242
POTE generator: ~5/4 = 423.020
Mapping: [⟨1 3 2 6 7 3], ⟨0 -4 1 -9 -10 2]]
Badness: 0.0368
Hemismate
Comma list: 256/245, 392/375
POTE generator: ~8/7 = 210.452
Mapping: [⟨1 3 2 3], ⟨0 -8 2 -1]]
Wedgie: ⟨⟨8 -2 1 -22 -21 8]]
Badness: 0.1543
11-limit
Comma list: 56/55, 77/75, 256/245
POTE generator: ~8/7 = 210.481
Mapping: [⟨1 3 2 3 4], ⟨0 -8 2 -1 -3]]
Badness: 0.0655
13-limit
Comma list: 26/25, 56/55, 77/75, 256/245
POTE generator: ~8/7 = 210.974
Mapping: [⟨1 3 2 3 4 3], ⟨0 -8 2 -1 -3 4]]
Badness: 0.0505
Subklei
Comma list: 17496/15625
POTE generator: ~6/5 = 284.293
Mapping: [⟨1 3 4], ⟨0 -6 -7]]
Badness: 0.3559
7-limit
Comma list: 36/35, 1029/1000
POTE generator: ~6/5 = 284.219
Mapping: [⟨1 3 4 4], ⟨0 -6 -7 -5]]
Wedgie: ⟨⟨6 7 5 -3 -9 -8]]
Badness: 0.0611
11-limit
Comma list: 36/35, 77/75, 352/343
POTE generator: ~6/5 = 283.253
Mapping: [⟨1 3 4 4 7], ⟨0 -6 -7 -5 -15]]
Badness: 0.0447
13-limit
Comma list: 26/25, 36/35, 66/65, 352/343
POTE generator: ~6/5 = 282.856
Mapping: [⟨1 3 4 4 7 7], ⟨0 -6 -7 -5 -15 -14]]
Badness: 0.0323
Subkla
Comma list: 36/35, 56/55, 1029/1000
POTE generator: ~6/5 = 283.822
Mapping: [⟨1 3 4 4 3], ⟨0 -6 -7 -5 2]]
Badness: 0.0472
13-limit
Comma list: 36/35, 56/55, 66/65, 640/637
POTE generator: ~6/5 = 283.882
Mapping: [⟨1 3 4 4 3 3], ⟨0 -6 -7 -5 2 3]]
Badness: 0.0367
Slurpee
Comma list: 177147/156250
POTE generator: ~27/25 = 72.742
Mapping: [⟨1 2 3], ⟨0 -7 -11]]
Badness: 0.6893
7-limit
Comma list: 36/35, 51200/50421
POTE generator: ~21/20 = 72.303
Mapping: [⟨1 2 3 3], ⟨0 -7 -11 -3]]
Wedgie: ⟨⟨7 11 3 1 -15 -24]]
Badness: 0.1149
11-limit
Comma list: 36/35, 121/120, 352/343
POTE generator: ~21/20 = 72.297
Mapping: [⟨1 2 3 3 4], ⟨0 -7 -11 -3 -9]]
Badness: 0.0505
13-limit
Comma list: 36/35. 66/65, 143/140, 352/343
POTE generator: ~21/20 = 72.409
Mapping: [⟨1 2 3 3 4 4], ⟨0 -7 -11 -3 -9 -5]]
Badness: 0.0331