Jubilismic clan

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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|]

EDOs: 10, 12, 16, 22, 104

Diminished[edit]

Deutsch

Commas: 36/35, 50/49

POTE generator: ~3/2 = 699.523

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

EDOs: 4, 12

Badness: 0.0224

11-limit[edit]

Commas: 36/35, 50/49, 56/55

POTE generator: ~3/2 = 709.109

Map: [<4 0 3 5 14|, <0 1 1 1 0|]

EDOs: 4, 8, 12, 44

Badness: 0.0221

13-limit[edit]

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[edit]

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[edit]

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[edit]

Commas: 50/49, 875/864

POTE generator: ~6/5 = 325.719

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

EDOs: 18, 22, 26edo, 48, 70c

Badness: 0.0435

11-limit[edit]

Commas: 50/49, 99/98, 875/864

POTE generator: ~6/5 = 325.548

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

EDOs: 18, 22, 48, 70c, 118cd

Badness: 0.0321

Fleetwood[edit]

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[edit]

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[edit]

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[edit]

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[edit]

Commas: 50/49, 525/512

POTE generator: ~8/7 = 232.089

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

EDOs: 10, 16, 26, 62

Badness: 0.0622

11-limit[edit]

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[edit]

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[edit]

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[edit]

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[edit]

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: 30.536

Crepuscular[edit]

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[edit]

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[edit]

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[edit]

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[edit]

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[edit]

Comma: |25 -10 -4>

POTE generator: ~45/32 = 554.546

Map: [<2 1 10|, <0 2 -5|]

EDOs: 24c, 26, 80bc, 106bc, 132bc

Badness: 0.8840

7-limit[edit]

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[edit]

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[edit]

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