Sensamagic family
Sensamagic[edit]
Comma: 245/243
[|1 0 0 0>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>]
Eigenmonzos: 2, 8/7, 5/4
9-limit minimax
[|1 0 0 0>, |0 1 0 0>, |0 5/3 2/3 -2/3>, |0 5/3 -1/3 1/3>]
Eigenmonzos: 2, 4/3, 7/5
Lattice basis: 3/2 0.9644 9/7 1.0807
Angle(3/2, 9/7) = 86.5288
Map to lattice: [<0 1 1 2|, <0 0 2 -1|]
Map: [<1 0 0 0|, <0 1 1 2|, <0 0 2 -1|]
Generators: 2, 3, 9/7
Edos: ,17 19, 22, 24, 27, 41, 46, 60, 68, 87, 109, 128, 169, 177, 237
Badness: 0.000129
Projection pair: 5 243/49 to 2.3.7
Minkowski blocks[edit]
{2, 3, 7} subgroup
12: 729/686, 64/63
17: 64/63, 19683/19208
19: 49/48, 177147/175616
22: 64/63, 537824/531441
24: 64/63, 15059072/14348907
Undecimal sensamagic[edit]
Commas: 245/243, 385/384
11-limit minimax
[|1 0 0 0 0>, |21/13 6/13 -1/13 1/13 -3/13>, |35/13 10/13 7/13 -7/13 -5/13>, |35/13 10/13 -6/13 6/13 -5/13>, |42/13 -14/13 -2/13 2/13 7/13>]
Eigenmonzos: 2, 11/9, 7/5
Map: [<1 0 0 0 7|, <0 1 1 2 -2|, <0 0 2 -1 -1|]
Generators: 2, 3, 9/7
EDOs: 5, 17, 19, 22, 41, 68, 87, 196, 283, 607bd, 694bd
Badness: 0.000722
Projection pairs: 5 243/49 11 896/81 to 2.3.7
13-limit[edit]
Commas: 245/243, 352/351, 385/384
Map: [<1 0 0 0 7 12|, <0 1 1 2 -2 -5|, <0 0 2 -1 -1 -1|]
Generators: 2, 3, 9/7
EDOs: 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd
Badness: 0.00120
Sensawer[edit]
Commas: 245/243, 441/440
Map: [<1 0 0 0 -3|, <0 1 1 2 5|, <0 0 2 -1 -4|]
EDOs: 41, 87, 302d, 389d, 476bd
Badness: 0.000796
13-limit[edit]
Commas: 196/195, 245/243, 352/351
Map: [<1 0 0 0 -3 2|, <0 1 1 2 5 2|, <0 0 2 -1 -4 -4|]
EDOs: 41, 46, 87, 522bd
Badness: 0.000928
Octarod[edit]
Commas: 100/99, 245/243
Map: [<1 0 0 0 2|, <0 1 1 2 0|, <0 0 2 -1 4|]
EDOs: 19, 22, 41, 63, 104, 109e, 131e, 172e
Badness: 0.000581
Shrusus[edit]
Commas: 176/175, 245/243
Map: [<1 0 0 0 -4|, <0 1 1 2 4|, <0 0 2 -1 3|]
EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc
Badness: 0.000877
Shrusic[edit]
Commas: 91/90, 176/175, 245/243
Map: [<1 0 0 0 -4 1|, <0 1 1 2 4 1|, <0 0 2 -1 3 3|]
EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf
Badness: 0.001125
Sensigh[edit]
Commas: 91/90, 126/125, 169/168
Map: [<1 6 8 11 0 10|, <0 -7 -9 -13 0 -10|, <0 0 0 0 1 0|]
EDOs: 19, 27, 46, 111df, 157df
Badness: 0.000939
Bisector[edit]
Commas: 121/120, 245/243
Map: [<2 0 0 0 3|, <0 1 1 2 1|, <0 0 2 -1 1|]
EDOs: 22, 46, 68, 82e, 106de, 114, 128e
Badness: 0.001089