Kalismic temperaments

These are rank three temperaments tempering out 9801/9800, but we can began by looking at the rank four temperament.

Comma: 9801/9800

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

Generators: 99/70, 3, 5, 7

EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254

Odin

Commas: 9801/9800, 151263/151250

Map: [<6 0 0 8 17|, <0 1 0 -2 -4|, <0 0 1 2 3|]

Generators: 55/49, 3, 5

EDOs: 12, 42, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464

Badness: 0.000116

Loki

Commas: 5632/5625, 9801/9800

Map: [<2 0 0 -21 -18|, <0 1 0 4 2|, <0 0 1 3 4|]

Generators: 99/70, 3, 5

EDOs: 12, 22, 86, 108, 118, 130, 248, 270, 670, 822, 940, 1092

Badness: 0.000493

Van Gogh

Commas: 9801/9800, 199297406/199290375

Map: [<2, 0, 8, 0, 11|, <0, 1, 1, 2, 1|, <0, 0, -9, -1, -10|]

Generators: 99/70, 3, 9/7

EDOs: 22, 58, 80, 284, 320, 342, 742, 764, 1084, 1106, 1448, 1506, 1848, 4038, 4802, 5144, 6992

Badness: 0.000297