Jubilismic clan
The Jubilismic clan tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are identified and the octave is divided in two. Doublewide, lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.
No-threes POTE generator: 380.840
No-threes map: [<2 0 1 1|, <0 0 1 1|]
Contents
Diminished
Commas: 36/35, 50/49
POTE generator: ~3/2 = 699.523
Map: [<4 0 3 5|, <0 1 1 1|]
Badness: 0.0224
11-limit
Commas: 36/35, 50/49, 56/55
POTE generator: ~3/2 = 709.109
Map: [<4 0 3 5 14|, <0 1 1 1 0|]
Badness: 0.0221
13-limit
Commas: 36/35, 40/39, 50/49, 66/65
POTE generator: ~3/2 = 713.773
Map: [<4 0 3 5 14 15|, <0 1 1 1 0 0|]
EDOs: 4, 8d, 12f, 20cdef
Badness: 0.0195
Demolished
Commas: 36/35, 45/44, 50/49
POTE generator: ~3/2 = 689.881
Map: [<4 0 3 5 -5|, <0 1 1 1 3|]
EDOs: 12, 28, 40de
Badness: 0.0266
Hemidim
Commas: 36/35, 50/49, 125/121
POTE generator: ~12/11 = 101.679
Map: [<4 1 4 6 6|, <0 2 2 2 3|]
EDOs: 12, 20b
Badness: 0.0550
Doublewide
Commas: 50/49, 875/864
POTE generator: ~6/5 = 325.719
Map: [<2 1 3 4|, <0 4 3 3|]
Badness: 0.0435
11-limit
Commas: 50/49, 99/98, 875/864
POTE generator: ~6/5 = 325.548
Map: [<2 1 3 4 8|, <0 4 3 3 -2|]
Badness: 0.0321
Fleetwood
Commas: 50/49, 55/54, 176/175
POTE generator: ~6/5 = 327.038
Map: [<2 1 3 4 2|, <0 4 3 3 9|]
EDOs: 22, 26e
Badness: 0.0352
13-limit
Commas: 50/49, 55/54, 65/63, 176/175
POTE generator: ~6/5 = 327.841
Map: [<2 1 3 4 2 3|, <0 4 3 3 9 8|]
EDOs: 22, 84bdf
Badness: 0.0318
Cavalier
Commas: 45/44, 50/49, 875/864
POTE generator: ~6/5 = 323.427
Map: [<2 1 3 4 1|, <0 4 3 3 11|]
EDOs: 26
Badness: 0.0529
13-limit
Commas: 45/44, 50/49, 78/77, 325/324
POTE generator: ~6/5 = 323.396
Map: [<2 1 3 4 1 2|, <0 4 3 3 11 10|]
EDOs: 26
Badness: 0.0350
Lemba
Commas: 50/49, 525/512
POTE generator: ~8/7 = 232.089
Map: [<2 2 5 6|, <0 3 -1 -1|]
Badness: 0.0622
11-limit
Commas: 45/44, 50/49, 385/384
POTE generator: ~8/7 = 230.974
Map: [<2 2 5 6 5|, <0 3 -1 -1 5|]
EDOs: 10, 16, 26
Badness: 0.0416
13-limit
Commas: 45/44, 50/49, 65/64, 78/77
POTE generator: ~8/7 = 230.966
Map: [<2 2 5 6 5 7|, <0 3 -1 -1 5 1|]
EDOs: 10, 16, 26
Badness: 0.0255
Vigintiduo
Commas: 50/49, 64/63, 245/243
POTE generator: ~11/8 = 557.563
Map: [<22 35 51 62 0|, <0 0 0 0 1|]
EDOs: 22, 66de, 88bde, 110bd, 198bcdde
Badness: 0.0484
Vigin
Commas: 50/49, 55/54, 64/63, 99/98
POTE generator: ~13/8 = 844.624
Map: [<22 35 51 62 76 0|, <0 0 0 0 0 1|]
EDOs: 22, 44
Badness: 0.0298
Duodecim
Commas: 36/35, 50/49, 64/63
POTE generator: ~11/8 = 565.023
Map: [<12 19 28 34 0|, <0 0 0 0 1|]
EDOs: 12, 24d, 36d
Badness: 0.030536
Crepuscular
Commas: 50/49, 4375/4374
POTE generator: ~27/25 = 140.349
Map: [<2 2 3 4|, <0 5 7 7|]
Wedgie: <<10 14 14 -1 -6 -7||
EDOs: 26, 34d, 60d, 94d
Badness: 0.0867
11-limit
Commas: 50/49, 99/98, 1944/1925
POTE generator: ~12/11 = 140.587
Map: [<2 2 3 4 6|, <0 5 7 7 4|]
EDOs: 26, 34d, 60d, 94de
Badness: 0.0408
13-limit
Commas: 50/49, 78/77, 99/98, 144/143
POTE generator: ~12/11 = 140.554
Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|]
EDOs: 26, 34d, 60d, 94de
Badness: 0.0244
Bipyth
Commas: 50/49, 20480/19683
POTE generator: ~3/2 = 709.437
Map: [<2 0 -24 -23|, <0 1 9 9|]
Wedgie: <<2 18 18 24 23 -9||
Badness: 0.1650
11-limit
Commas: 50/49, 121/120, 896/891
POTE generator: ~3/2 = 709.310
Map: [<2 0 -24 -23 -9|, <0 1 9 9 5|]
EDOs: 22
Badness: 0.0709
Elvis
Comma: 36905625/33554432
POTE generator: ~45/32 = 554.546
Map: [<2 1 10|, <0 2 -5|]
EDOs: 24c, 26, 80bc, 106bc, 132bc
Badness: 0.8840
7-limit
Commas: 50/49, 8505/8192
POTE generator: ~45/32 = 553.721
Map: [<2 1 10 11|, <0 2 -5 -5|]
Wedgie: <<4 -10 -10 -25 -27 5||
EDOs: 24c, 26
Badness: 0.1415
11-limit
Commas: 45/44, 50/49, 1344/1331
POTE generator: ~11/8 = 553.882
Map: [<2 1 10 11 8|, <0 2 -5 -5 -1|]
EDOs: 24c, 26
Badness: 0.0632
13-limit
Commas: 45/44, 50/49, 78/77, 1053/1024
POTE generator: ~11/8 = 553.892
Map: [<2 1 10 11 8 16|, <0 2 -5 -5 -1 -8|]
EDOs: 26
Badness: 0.0440
