User:Francium/Miscellaneous rank-2 temperaments (EDT)

b17 & b263

Subgroup: 3.5.7

Comma list: [-50 16 15⟩

Mapping: [⟨1 5 -2], ⟨0 -30 32]]

POTE generators: ~35/27 = 224.1303

Optimal ET sequence: b17, b89, b106, b123, b140, b157, b297, b454, b1205, b1659

Badness: 6.879

11-limit

Subgroup: 3.5.7.11

Comma list: 129696875/129140163, 1771561/1764735

Mapping: [⟨1 5 -2 -1], ⟨0 -30 32 27]]

POTE generators: ~2187/1925 = 224.1371

Optimal ET sequence: b17, b229, b246, b263, b280, b297

Badness: 2.809

13-limit

Subgroup: 3.5.7.11.13

Comma list: 1575/1573, 408375/405769, 129696875/129140163

Mapping: [⟨1 5 -2 -1 12], ⟨0 -30 32 27 -82]]

POTE generator: ~2187/1925 = 224.1659

Optimal ET sequence: b17, b229f, b246, b263, b280, b543

Badness: 3.569

17-limit

Subgroup: 3.5.7.11.13.17

Comma list: 1575/1573, 2025/2023, 111537/111475, 257125/255879

Mapping: [⟨1 5 -2 -1 12 8], ⟨0 -30 32 27 -82 -46]]

POTE generator: ~637/561 = 224.1646

Optimal ET sequence: b17, b229fg, b246, b263, b280

Badness: 1.935

19-limit

Subgroup: 3.5.7.11.13.17.19

Comma list: 1575/1573, 935/931, 2025/2023, 125125/124659, 3553/3549

Mapping: [⟨1 5 -2 -1 12 8 16], ⟨0 -30 32 27 -82 -46 -113]]

POTE generator: ~65/57 = 224.1770

Optimal ET sequence: b17, b246, b263

Badness: 2.175

b43 & b83

Subgroup: 3.5.7

Comma list: [-11 -13 17⟩

Mapping: [⟨1 7 6], ⟨0 -17 -13]]

POTE generator: ~3375/2401 = 619.1941

Optimal ET sequence: b34ccd, b37c, b40, b43

Badness: 20.569

11-limit

Subgroup: 3.5.7.11

Comma list: 15309/15125, 63412811/61509375

Mapping: [⟨1 7 6 -4], ⟨0 -17 -13 19]]

POTE generator: ~3375/2401 = 619.0265

Optimal ET sequence: b40, b43, b126, b169, b212d

Badness: 5.350

13-limit

Subgroup: 3.5.7.11.13

Comma list: 637/625, 11011/10935, 16807/16731

Mapping: [⟨1 7 6 -4 16], ⟨0 -17 -13 19 -42]]

POTE generator: ~351/245 = 618.9142

Optimal ET sequence: b40f, b43, b83, b126

Badness: 3.594

17-limit

Subgroup: 3.5.7.11.13.17

Comma list: 429/425, 833/825, 6561/6545, 8619/8575

Mapping: [⟨1 7 6 -4 16 -1], ⟨0 -17 -13 19 -42 11]]

POTE generator: ~351/245 = 618.9098

Optimal ET sequence: b40f, b43, b83, b126

Badness: 2.366