Ragisma family

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Ragisma

Comma: 4375/4374

7-limit

[|1 0 0 0>, |-1/7 0 4/7 1/7>, |0 0 1 0>, |0 0 0 1>]

Eigenmonzos: 2, 8/7, 5/4

9-limit

[|1 0 0 0>, |0 1 0 0>, |1/5 7/5 1/5 -1/5>, |1/5 7/5 -4/5 4/5>]

Eigenmonzos: 2, 4/3, 7/5

Lattice basis: 10/9 length=0.789 6/5 length=0.921

Angle(10/9, 6/5) = 105.299

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

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

Generators: 2, 3, 5

Edos: 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279

Projection pair: 7 4374/625

Scales: ragismic19

11 limit children

Thor

Commas: 4375/4374, 3025/3024

Minimax tuning

[|1 0 0 0 0>, |3/4 0 1/2 1/2 -1/2>, |25/16 0 7/8 5/8 -7/8>, |0 0 0 1 0>, |25/16 0 -1/8 5/8 1/8>]

Eigenmonzos: 2, 11/10, 8/7

Map: [<2 0 0 2 5|, <0 1 0 7 5|, <0 0 1 -4 -3|]

Generators: 99/70, 3, 5

Badness: 0.0000888

Projection pairs: 2 9801/4900 7 21434787/3062500 11 2310905821257/210087500000 to 3.5.14/11

Donar

Commas: 4375/4374, 3025/3024, 4225/4224

13-limit ||1 0 0 0 0 0>, |3/4 0 1/2 1/2 -1/2 0>, |25/16 0 7/8 5/8 -7/8 0>, |0 0 0 1 0 0>, |25/16 0 -1/8 5/8 1/8 0>, |99/32 0 -11/16 -1/16 11/16 0>]

Eigenmonzos: 2, 11/10, 8/7

15-limit minimax

[|1 0 0 0 0 0>, |1/2 1/3 1/3 1/3 -1/3 0>, |9/8 7/12 7/12 1/3 -7/12 0>, |0 0 0 1 0 0>, |13/8 -1/12 -1/12 2/3 1/12 0>, |55/16 -11/24 -11/24 1/6 11/24 0>]

Eigenmonzos: 2, 8/7, 15/11

Lattice basis: 44/39 length = 0.3480 6/5 length = 0.7828

Angle(44/39, 6/5) = 85.3977

Map to lattice: [<0 2 2 6 4 1|, <0 -1 -2 1 1 2|]

Map: [<2 0 1 -2 2 7|, <0 1 0 7 5 3|, <0 0 2 -8 -6 -5|]

Generators: 99/70, 3, 220/117

Edos: 46, 80, 92, 126, 144, 178, 190, 224, 494, 684, 954, 1178, 1942, 3120, 3390

Badness: 0.000322

Scales: donar46

Thunor

Commas: 4375/4374, 3025/3024, 1716/1715

13 and 15 limit minimax

[|1 0 0 0 0 0>, |7/10 4/5 0 -2/5 0 1/5>, |9/8 3/2 0 -3/4 0 1/4>, |7/5 -2/5 0 1/5 0 2/5>, |21/8 -1/2 0 1/4 0 1/4>, |0 0 0 0 0 1>]

Eigenmonzos: 2, 16/13, 9/7

Lattice basis: 10/9 length 0.4234 6/5 length 0.8426

Angle(10/9, 6/5) = 84.126 degrees

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

Map: [<2 0 0 2 5 -3|, <0 1 0 7 5 15|, <0 0 1 -4 -3 -8|]

Generators: 99/70, 3, 5

Edos: 26, 46, 72, 178, 224, 270, 494

Badness: 0.000341

Rym

Commas: 4375/4374, 3025/3024, 4096/4095

Map: [<2 0 0 2 5 22|, <0 1 0 7 5 -9|, <0 0 1 -4 -3 3|]

EDOs: 46, 106, 118, 152, 224, 270, 494, 764, 1106, 1376, 1870

Badness: 0.000549

Vidar

Commas: 4375/4374, 100663296/100656875

Bragi

Commas: 4375/4374, 2097152/2096325

Beyla

Commas: 4374/4375, 385/384

Map: [<1 0 0 1 6|, <0 1 0 7 -6|, <0 0 1 -4 3|]

EDOs: 7, 19, 26, 45, 46, 53, 72, 118, 190, 315e, 361e, 433de, 623cde

Badness: 0.000721

13-limit

Commas: 169/168, 325/324, 385/384

Map: [<1 0 0 1 6 2|, <0 1 0 7 -6 4|, <0 0 1 -4 3 -2|]

EDOs: 7, 19, 26, 46, 53, 72, 118f, 125f, 171ef, 190f, 197ef, 243ef

Badness: 0.000840