Hemimage family

Vital statistics

Comma: hemimage 10976/10935

7-limit minimax

[|1 0 0 0>, |5/8 1/8 -1/8 3/8>, |5/8 -7/8 7/8 3/8>, |0 0 0 1>]

Eigenmonzos: 2, 8/7, 6/5

9-limit minimax

[|1 0 0 0>, |5/9 2/9 -1/9 1/3>, |10/9 -14/9 7/9 2/3>, |0 0 0 1>]

Eigenmonzos: 2, 10/9, 8/7

Map: [<1 0 2 -1|, <0 1 2 3|, <0 0 -3 -1|]

Generators: 2, 3, 27/14

Edos: 14, 19, 41, 58, 77, 80, 99, 118, 140, 217, 316, 338, 357, 415, 456, 654, 695

Badness: 0.000199

Projection pair: 5 10976/2187 to 2.3.7

Uni

Commas: 540/539, 896/891

Minimax tuning

[|1 0 0 0 0>, |16/11 6/11 1/11 0 -3/11>, |0 0 1 0 0>, |19/11 14/11 6/11 0 -7/11>, |32/11 -10/11 2/11 0 5/11>]

Eigenmonzos: 2, 11/9, 5/4

Map: [<1 0 2 -1 6|, <0 1 2 3 -1|, <0 0 -3 -1 -1|]

Generators: 2, 3, 27/14

Edos: 19, 22, 41, 58, 80, 121

Badness: 0.000702

13-limit

Commas: 352/351, 364/363, 540/539

Map: [<1 0 2 -1 6 11|, <0 1 2 3 -1 -4|, <0 0 -3 -1 -1 -1|]

EDOs: 22, 41, 58, 80, 121

Badness: 0.00106

Tin

Commas: 144/143, 196/195, 729/728

Map: [<1 0 2 -1 6 -2|, <0 1 2 3 -1 3|, <0 0 -3 -1 -1 1|]

EDOs: 19, 36, 41, 58

Badness: 0.00107

Turan

Commas: 10976/10935, 441/440

Minimax tuning

[|1 0 0 0 0>, |19/12 -2/3 1/12 0 1/4>, |19/6 -10/3 7/6 0 1/2>, |37/12 -8/3 7/12 0 3/4>, |19/6 -10/3 1/6 0 3/2>]

Eigenmonzos: 2, 10/9, 11/9

Map: [<1 0 2 -1 -7|, <0 1 2 3 6|, <0 0 -3 -1 1|]

Generators: 2, 3, 27/14

Edos: 41, 58, 118, 159, 217, 335

Badness: 0.000936