Maquila family
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
The maquila family of temperaments tempers out the maquila comma (monzo: [49 -6 -17⟩, ratio: 562 949 953 421 312 / 556 182 861 328 125).
Maquila
Subgroup: 2.3.5
Comma list: [49 -6 -17⟩
Mapping: [⟨1 -6 5], ⟨0 17 -6]]
Optimal tuning (POTE): ~2 = 1200.000 ¢, ~512/375 = 535.437 ¢
Optimal ET sequence: 9, 38b, 47b, 56, 65, 186, 251, 316, 381, 697c
Badness (Smith): 0.472510
Septimal maquila
Subgroup: 2.3.5.7
Comma list: 225/224, 30233088/28824005
Mapping: [⟨1 -6 5 -7], ⟨0 17 -6 22]]
Optimal tuning (POTE): ~2 = 1200.000 ¢, ~48/35 = 535.322 ¢
Optimal ET sequence: 9, 56d, 65d
Badness (Smith): 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 = 1200.000 ¢, ~15/11 = 535.321 ¢
Optimal ET sequence: 9, 56d, 65d
Badness (Smith): 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 = 1200.000 ¢, ~15/11 = 535.298 ¢
Optimal ET sequence: 9, 56df, 65d, 139df, 204ddff
Badness (Smith): 0.042198
Maquiloid
Subgroup: 2.3.5.7
Comma list: 686/675, 65625/65536
Mapping: [⟨1 -6 5 -3], ⟨0 17 -6 13]]
Optimal tuning (POTE): ~2 = 1200.000 ¢, ~175/128 = 535.482 ¢
Optimal ET sequence: 9, 38b, 47b, 56, 65, 121d, 186dd
Badness (Smith): 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 = 1200.000 ¢, ~15/11 = 535.485 ¢
Optimal ET sequence: 9, 38be, 47b, 56, 65, 121d, 186dde
Badness (Smith): 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 = 1200.000 ¢, ~15/11 = 535.501 ¢
Optimal ET sequence: 9, 38be, 47b, 56, 65f, 121df, 186ddeff
Badness (Smith): 0.041850
Hemimaquila
Subgroup: 2.3.5.7
Comma list: 6144/6125, 184528125/184473632
Mapping: [⟨1 -6 5 -5], ⟨0 34 -12 35]]
Optimal tuning (POTE): ~2 = 1200.000 ¢, ~7/6 = 267.716 ¢
Optimal ET sequence: 9, 121, 130, 251, 381
Badness (Smith): 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 = 1200.000 ¢, ~7/6 = 267.717 ¢
Optimal ET sequence: 9, 121, 130, 251e, 381e
Badness (Smith): 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 = 1200.000, ~7/6 = 267.719 ¢
Optimal ET sequence: 9, 121, 130, 251e, 381e
Badness (Smith): 0.024445