Maquila family

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The maquila family tempers out the maquila comma, 562949953421312/556182861328125 = [49 -6 -17.

Maquila

Comma: 562949953421312/556182861328125

Mapping: [1 -6 5], 0 17 -6]]

POTE generator: ~512/375 = 535.437

Optimal GPV sequence9, 38b, 47b, 56, 65, 186, 251, 316, 381, 697c

Badness: 0.472510

7-limit

Comma list: 225/224, 30233088/28824005

Mapping: [1 -6 5 -7], 0 17 -6 22]]

Wedgie⟨⟨17 -6 22 -49 -13 68]]

POTE generator: ~48/35 = 535.322

Optimal GPV sequence9, 56d, 65d

Badness: 0.232430

11-limit

Comma list: 99/98, 176/175, 73728/73205

Mapping: [1 -6 5 -7 -1], 0 17 -6 22 10]]

POTE generator: ~15/11 = 535.321

Vals: 9, 56d, 65d

Badness: 0.072550

13-limit

Comma list: 99/98, 144/143, 176/175, 847/845

Mapping: [1 -6 5 -7 -1 -7], 0 17 -6 22 10 24]]

POTE generator: ~15/11 = 535.298

Vals: 9, 56df, 65d, 139df, 204ddff

Badness: 0.042198

Maquiloid

Comma list: 686/675, 65625/65536

Mapping: [1 -6 5 -3], 0 17 -6 13]]

Wedgie⟨⟨17 -6 13 -49 -27 47]]

POTE generator: ~175/128 = 535.482

Optimal GPV sequence9, 38b, 47b, 56, 65, 121d, 186dd

Badness: 0.188977

11-limit

Comma list: 245/242, 385/384, 686/675

Mapping: [1 -6 5 -3 -1], 0 17 -6 13 10]]

POTE generator: ~15/11 = 535.485

Vals: 9, 38be, 47b, 56, 65, 121d, 186dde

Badness: 0.066234

13-limit

Comma list: 91/90, 169/168, 245/242, 385/384

Mapping: [1 -6 5 -3 -1 -3], 0 17 -6 13 10 15]]

POTE generator: ~15/11 = 535.501

Vals: 9, 38be, 47b, 56, 65f, 121df, 186ddeff

Badness: 0.041850

Hemimaquila

Comma list: 6144/6125, 184528125/184473632

Mapping: [1 -6 5 -5], 0 34 -12 35]]

Wedgie⟨⟨34 -12 35 -98 -40 115]]

POTE generator: ~7/6 = 267.716

Optimal GPV sequence9, 121, 130, 251, 381

Badness: 0.111465

11-limit

Comma list: 540/539, 5632/5625, 12005/11979

Mapping: [1 -6 5 -5 -1], 0 34 -12 35 20]]

POTE generator: ~7/6 = 267.717

Vals: 9, 121, 130, 251e, 381e

Badness: 0.047440

13-limit

Comma list: 364/363, 540/539, 676/675, 3584/3575

Mapping: [1 -6 5 -5 -1 -5], 0 34 -12 35 20 39]]

POTE generator: ~7/6 = 267.719

Vals: 9, 121, 130, 251e, 381e

Badness: 0.024445