Trimyna family

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The trimyna family of planar temperaments tempers out the trimyna comma, 50421/50000.

Trimyna

Comma: 50421/50000

Map: [<1 4 0 0|, <0 -5 0 1|, <0 0 1 1|]

EDOs: 25, 27, 31, 58, 87, 118, 294

Badness: 0.000870

Generators: 2.7/5.5

Projection pair: 3 50000/16807 to 2.5.7

11-limit

Commas: 441/440, 3388/3375

Map: [<1 4 0 0 5|, <0 -5 0 1 -8|, <0 0 1 1 1|]

EDOs: 29, 31, 58, 87, 118, 294

Badness: 0.000512

13-limit

Commas: 196/195, 352/351, 1001/1000

Map: [<1 4 0 0 5 -2|, <0 -5 0 1 -8 7|, <0 0 1 1 1 1|]

EDOs: 29, 31, 56, 58, 87, 118, 145, 232

Badness: 0.000814

Trimy

Commas: 441/440, 676/675, 847/845

Map: [<1 4 0 0 5 5|, <0 -10 0 2 -16 -15|, <0 0 1 1 1 1|]

EDOs: 29, 58, 87, 145, 149, 207, 294

Badness: 0.001478

Generators: 2.13/11.5