Unicorn family

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The unicorn family tempers out the unicorn comma, 1594323/1562500 = [-2 13 -8.

Unicorn

Subgroup: 2.3.5

Comma list: 1594323/1562500

Mapping: [1 2 3], 0 -8 -13]]

POTE generator: ~250/243 = 62.458

Optimal GPV sequence19, 58, 77, 96, 173, 269

Badness: 0.150487

Septimal unicorn

Subgroup: 2.3.5.7

Comma list: 126/125, 10976/10935

Mapping: [1 2 3 4], 0 -8 -13 -23]]

Wedgie⟨⟨8 13 23 2 14 17]]

POTE generator: ~28/27 = 62.278

Optimal GPV sequence19, 39d, 58, 77, 135c

Badness: 0.040913

Alicorn

Subgroup: 2.3.5.7.11

Comma list: 126/125, 540/539, 896/891

Mapping: [1 2 3 4 3], 0 -8 -13 -23 9]]

POTE generator: ~28/27 = 62.101

Vals: 19, 39d, 58

Badness: 0.039156

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 126/125, 144/143, 196/195, 676/675

Mapping: [1 2 3 4 3 5], 0 -8 -13 -23 9 -25]]

POTE generator: ~28/27 = 62.119

Vals: 19, 39df, 58

Badness: 0.023667

Camahueto

Subgroup: 2.3.5.7.11

Comma list: 126/125, 385/384, 10976/10935

Mapping: [1 2 3 4 2], 0 -8 -13 -23 28]]

POTE generator: ~28/27 = 62.431

Vals: 19, 58e, 77, 96d, 173d

Badness: 0.065940

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 126/125, 196/195, 385/384, 676/675

Mapping: [1 2 3 4 2 5], 0 -8 -13 -23 28 -25]]

POTE generator: ~28/27 = 62.434

Vals: 19, 58e, 77, 96d, 173d

Badness: 0.036155

Qilin

Subgroup: 2.3.5.7.11

Comma list: 126/125, 176/175, 10976/10935

Mapping: [1 2 3 4 6], 0 -8 -13 -23 -49]]

POTE generator: ~28/27 = 62.196

Vals: 58, 77, 135c, 193c, 328cc

Badness: 0.041426

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 126/125, 176/175, 196/195, 2200/2197

Mapping: [1 2 3 4 6 5], 0 -8 -13 -23 -49 -25]]

POTE generator: ~28/27 = 62.197

Vals: 58, 77, 135c, 193cf, 328ccff

Badness: 0.022842

Monocerus

Subgroup: 2.3.5.7.11

Comma list: 126/125, 243/242, 5488/5445

Mapping: [2 4 6 8 9], 0 -8 -13 -23 -20]]

POTE generator: ~28/27 = 62.292

Vals: 58, 96d, 154, 212ce, 366cce

Badness: 0.052757

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 126/125, 196/195, 364/363, 676/675

Mapping: [2 4 6 8 9 10], 0 -8 -13 -23 -20 -25]]

POTE generator: ~28/27 = 62.301

Vals: 58, 96d, 154, 366ccef

Badness: 0.028795

Rhinoceros

Subgroup: 2.3.5.7

Comma list: 49/48, 4375/4374

Mapping: [1 2 3 3], 0 -8 -13 -4]]

Wedgie⟨⟨8 13 4 2 -16 -27]]

POTE generator: ~21/20 = 62.920

Optimal GPV sequence1c, 19

Badness: 0.081864

11-limit

Subgroup: 2.3.5.7.11

Comma list: 49/48, 100/99, 126/121

Mapping: [1 2 3 3 4], 0 -8 -13 -4 -10]]

POTE generator: ~21/20 = 62.874

Vals: 1ce, 19

Badness: 0.059319

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 49/48, 78/77, 100/99, 126/121

Mapping: [1 2 3 3 4 4], 0 -8 -13 -4 -10 -6]]

POTE generator: ~21/20 = 63.043

Vals: 1ce, 19

Badness: 0.039343