Ditonmic family

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The ditonmic family of temperaments tempers out the ditonma, 1220703125/1207959552 = [-27 -2 13.

Ditonic

Subgroup: 2.3.5

Comma list: 1220703125/1207959552

Mapping[1 6 3], 0 -13 -2]]

Optimal tuning (POTE): ~2 = 1\1, ~15625/12288 = 407.574

Optimal ET sequence3, 47, 50, 53, 474c, 527c, 580c, 633c, 686c, 739c, 792c, 845cc

Badness: 0.167086

Septimal ditonic

Subgroup: 2.3.5.7

Comma list: 126/125, 8751645/8388608

Mapping[1 6 3 -4], 0 -13 -2 20]]

Wedgie⟨⟨ 13 2 -20 -27 -68 -52 ]]

Optimal tuning (POTE): ~2 = 1\1, ~2625/2048 = 407.954

Optimal ET sequence3, 47, 50

Badness: 0.242101

11-limit

Subgroup: 2.3.5.7.11

Comma list: 126/125, 245/242, 2079/2048

Mapping: [1 6 3 -4 -3], 0 -13 -2 20 19]]

Optimal tuning (POTE): ~2 = 1\1, ~14/11 = 407.892

Optimal ET sequence: 3, 47, 50, 53d

Badness: 0.100884

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 105/104, 126/125, 245/242, 1287/1280

Mapping: [1 6 3 -4 -3 2], 0 -13 -2 20 19 5]]

Optimal tuning (POTE): ~2 = 1\1, ~14/11 = 407.887

Optimal ET sequence: 3, 47, 50, 53d

Badness: 0.054997

Coditone

Subgroup: 2.3.5.7

Comma list: 225/224, 2125764/2100875

Mapping[1 6 3 13], 0 -13 -2 -30]]

Wedgie⟨⟨ 13 2 30 -27 11 64 ]]

Optimal tuning (POTE): ~2 = 1\1, ~1225/972 = 407.690

Optimal ET sequence3d, 50, 53, 103, 156

Badness: 0.064356

11-limit

Subgroup: 2.3.5.7.11

Comma list: 225/224, 385/384, 78408/78125

Mapping: [1 6 3 13 -3], 0 -13 -2 -30 19]]

Optimal tuning (POTE): ~2 = 1\1, ~1225/972 = 407.741

Optimal ET sequence: 50, 53, 103

Badness: 0.044329

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 225/224, 351/350, 385/384, 847/845

Mapping: [1 6 3 13 -3 2], 0 -13 -2 -30 19 5]]

Optimal tuning (POTE): ~2 = 1\1, ~325/256 = 407.736

Optimal ET sequence: 50, 53, 103

Badness: 0.024352

Coditonic

Subgroup: 2.3.5.7.11

Comma list: 99/98, 176/175, 6655/6561

Mapping: [1 6 3 13 15], 0 -13 -2 -30 -34]]

Optimal tuning (POTE): ~2 = 1\1, ~242/189 = 407.567

Optimal ET sequence: 3de, 50e, 53

Badness: 0.063876

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 99/98, 176/175, 325/324, 847/845

Mapping: [1 6 3 13 15 20], 0 -13 -2 -30 -34 -48]]

Optimal tuning (POTE): ~2 = 1\1, ~33/26 = 407.541

Optimal ET sequence: 3def, 53

Badness: 0.043989