Maquila family
The maquila family of rank-2 temperaments tempers out the maquila comma, 562949953421312/556182861328125 = [49 -6 -17⟩.
Maquila
Subgroup: 2.3.5
Comma list: [49 -6 -17⟩
Mapping: [⟨1 -6 5], ⟨0 17 -6]]
Optimal tuning (POTE): ~2 = 1\1, ~512/375 = 535.437
Optimal ET sequence: 9, 38b, 47b, 56, 65, 186, 251, 316, 381, 697c
Badness: 0.472510
Septimal maquila
Subgroup: 2.3.5.7
Comma list: 225/224, 30233088/28824005
Mapping: [⟨1 -6 5 -7], ⟨0 17 -6 22]]
Wedgie: ⟨⟨ 17 -6 22 -49 -13 68 ]]
Optimal tuning (POTE): ~2 = 1\1, ~48/35 = 535.322
Optimal ET sequence: 9, 56d, 65d
Badness: 0.232430
11-limit
Subgroup: 2.3.5.7.11
Comma list: 99/98, 176/175, 73728/73205
Mapping: [⟨1 -6 5 -7 -1], ⟨0 17 -6 22 10]]
Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.321
Optimal ET sequence: 9, 56d, 65d
Badness: 0.072550
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 99/98, 144/143, 176/175, 847/845
Mapping: [⟨1 -6 5 -7 -1 -7], ⟨0 17 -6 22 10 24]]
Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.298
Optimal ET sequence: 9, 56df, 65d, 139df, 204ddff
Badness: 0.042198
Maquiloid
Subgroup: 2.3.5.7
Comma list: 686/675, 65625/65536
Mapping: [⟨1 -6 5 -3], ⟨0 17 -6 13]]
Wedgie: ⟨⟨ 17 -6 13 -49 -27 47 ]]
Optimal tuning (POTE): ~2 = 1\1, ~175/128 = 535.482
Optimal ET sequence: 9, 38b, 47b, 56, 65, 121d, 186dd
Badness: 0.188977
11-limit
Subgroup: 2.3.5.7.11
Comma list: 245/242, 385/384, 686/675
Mapping: [⟨1 -6 5 -3 -1], ⟨0 17 -6 13 10]]
Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.485
Optimal ET sequence: 9, 38be, 47b, 56, 65, 121d, 186dde
Badness: 0.066234
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 91/90, 169/168, 245/242, 385/384
Mapping: [⟨1 -6 5 -3 -1 -3], ⟨0 17 -6 13 10 15]]
Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.501
Optimal ET sequence: 9, 38be, 47b, 56, 65f, 121df, 186ddeff
Badness: 0.041850
Hemimaquila
Subgroup: 2.3.5.7
Comma list: 6144/6125, 184528125/184473632
Mapping: [⟨1 -6 5 -5], ⟨0 34 -12 35]]
Wedgie: ⟨⟨ 34 -12 35 -98 -40 115 ]]
Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 267.716
Optimal ET sequence: 9, 121, 130, 251, 381
Badness: 0.111465
11-limit
Subgroup: 2.3.5.7.11
Comma list: 540/539, 5632/5625, 12005/11979
Mapping: [⟨1 -6 5 -5 -1], ⟨0 34 -12 35 20]]
Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 267.717
Optimal ET sequence: 9, 121, 130, 251e, 381e
Badness: 0.047440
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 364/363, 540/539, 676/675, 3584/3575
Mapping: [⟨1 -6 5 -5 -1 -5], ⟨0 34 -12 35 20 39]]
Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 267.719
Optimal ET sequence: 9, 121, 130, 251e, 381e
Badness: 0.024445