Lehmerismic temperaments

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These are rank three temperaments tempering out 3025/3024, but we can began by looking at the rank four temperament.

Comma: 3025/3024

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

Generators: 2, 3, 5, 55/36

EDOs: 5, 10, 15, 26, 31, 41, 72, 118, 224, 270, 342, 612, 836, 1106, 1448, 2554

Tyr

Commas: 3025/3024, 102487/102400

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

Generators: 63/50, 400/231, 5

EDOs: 15, 57, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566

Badness: 0.000259

Skadi

Commas: 3025/3024, 703125/702464

Map: [<1 0 5 8 1|, <0 1 1 3 2|, <0 0 -6 -14 -1|]

Generators: 2, 3, 18/11

EDOs: 31, 97, 121, 152, 311, 342, 836, 1178, 2014

Badness: 0.000349

Ganesha

Commas: 3025/3024, 5632/5625

Map: [<1 0 0 -22 -9|, <0 1 0 1 2|, <0 0 1 10 4|]

Generators: 2, 3, 5

EDOs: 31, 87, 118, 152, 239, 270, 962, 1232, 1502

Badness: 0.000390

Hanuman

Commas: 4000/3993, 3025/3024

Map: [<1 2 0 -8 1|, <0 -3 0 11 1|, <0 0 1 4 1|]

Generators: 2, 11/10, 5

EDOs: 15, 57, 72, 152, 224, 311, 463, 535, 998, 1533ce, 2307ce, 2531cde, 2842bce

Badness: 0.000500

13-limit

Commas: 625/624, 1575/1573, 2080/2079

Map: [<1 2 0 -8 1 -6|, <0 -3 0 11 1 3|, <0 0 1 4 1 4|]

Generators: 2, 11/10, 5

EDOs: 15, 72, 87, 137, 159, 224, 311, 535, 918c, 1142c, 1453c

Badness: 0.000653