Jubilismic clan

Revision as of 01:42, 17 March 2021 by FloraC (talk | contribs) (Cleanup +1)

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: ~5/4 = 380.840

No-threes mapping: [2 0 1 1], 0 0 1 1]]

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Diminished

Deutsch

Comma list: 36/35, 50/49

POTE generator: ~3/2 = 699.523

Mapping: [4 0 3 5], 0 1 1 1]]

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Badness: 0.0224

11-limit

Comma list: 36/35, 50/49, 56/55

POTE generator: ~3/2 = 709.109

Mapping: [4 0 3 5 14], 0 1 1 1 0]]

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Badness: 0.0221

13-limit

Comma list: 36/35, 40/39, 50/49, 66/65

POTE generator: ~3/2 = 713.773

Mapping: [4 0 3 5 14 15], 0 1 1 1 0 0]]

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Badness: 0.0195

Demolished

Comma list: 36/35, 45/44, 50/49

POTE generator: ~3/2 = 689.881

Mapping: [4 0 3 5 -5], 0 1 1 1 3]]

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Badness: 0.0266

Hemidim

Comma list: 36/35, 50/49, 125/121

POTE generator: ~12/11 = 101.679

Mapping: [4 1 4 6 6], 0 2 2 2 3]]

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Badness: 0.0550

Doublewide

Comma list: 50/49, 875/864

POTE generator: ~6/5 = 325.719

Mapping: [2 1 3 4], 0 4 3 3]]

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Badness: 0.0435

11-limit

Comma list: 50/49, 99/98, 875/864

POTE generator: ~6/5 = 325.548

Mapping: [2 1 3 4 8], 0 4 3 3 -2]]

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Badness: 0.0321

Fleetwood

Comma list: 50/49, 55/54, 176/175

POTE generator: ~6/5 = 327.038

Mapping: [2 1 3 4 2], 0 4 3 3 9]]

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Badness: 0.0352

13-limit

Comma list: 50/49, 55/54, 65/63, 176/175

POTE generator: ~6/5 = 327.841

Mapping: [2 1 3 4 2 3], 0 4 3 3 9 8]]

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Badness: 0.0318

Cavalier

Comma list: 45/44, 50/49, 875/864

POTE generator: ~6/5 = 323.427

Mapping: [2 1 3 4 1], 0 4 3 3 11]]

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Badness: 0.0529

13-limit

Comma list: 45/44, 50/49, 78/77, 325/324

POTE generator: ~6/5 = 323.396

Mapping: [2 1 3 4 1 2], 0 4 3 3 11 10]]

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Badness: 0.0350

Lemba

Comma list: 50/49, 525/512

POTE generator: ~8/7 = 232.089

Mapping: [2 2 5 6], 0 3 -1 -1]]

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Badness: 0.0622

11-limit

Comma list: 45/44, 50/49, 385/384

POTE generator: ~8/7 = 230.974

Mapping: [2 2 5 6 5], 0 3 -1 -1 5]]

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Badness: 0.0416

13-limit

Comma list: 45/44, 50/49, 65/64, 78/77

POTE generator: ~8/7 = 230.966

Mapping: [2 2 5 6 5 7], 0 3 -1 -1 5 1]]

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Badness: 0.0255

Vigintiduo

Comma list: 50/49, 64/63, 245/243

POTE generator: ~11/8 = 557.563

Mapping: [22 35 51 62 0], 0 0 0 0 1]]

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Badness: 0.0484

Vigin

Comma list: 50/49, 55/54, 64/63, 99/98

POTE generator: ~13/8 = 844.624

Mapping: [22 35 51 62 76 0], 0 0 0 0 0 1]]

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Badness: 0.0298

Duodecim

Comma list: 36/35, 50/49, 64/63

POTE generator: ~11/8 = 565.023

Mapping: [12 19 28 34 0], 0 0 0 0 1]]

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Badness: 0.030536

Crepuscular

Comma list: 50/49, 4375/4374

POTE generator: ~27/25 = 140.349

Mapping: [2 2 3 4], 0 5 7 7]]

Wedgie⟨⟨ 10 14 14 -1 -6 -7 ]]

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Badness: 0.0867

11-limit

Comma list: 50/49, 99/98, 1944/1925

POTE generator: ~12/11 = 140.587

Mapping: [2 2 3 4 6], 0 5 7 7 4]]

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Badness: 0.0408

13-limit

Comma list: 50/49, 78/77, 99/98, 144/143

POTE generator: ~12/11 = 140.554

Mapping: [2 2 3 4 6 6], 0 5 7 7 4 6]]

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Badness: 0.0244

Bipyth

Comma list: 50/49, 20480/19683

POTE generator: ~3/2 = 709.437

Mapping: [2 0 -24 -23], 0 1 9 9]]

Wedgie⟨⟨ 2 18 18 24 23 -9 ]]

Badness: 0.1650

11-limit

Comma list: 50/49, 121/120, 896/891

POTE generator: ~3/2 = 709.310

Mapping: [2 0 -24 -23 -9], 0 1 9 9 5]]

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Badness: 0.0709

Elvis

Comma list: 36905625/33554432

POTE generator: ~45/32 = 554.546

Mapping: [2 1 10], 0 2 -5]]

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Badness: 0.8840

7-limit

Comma list: 50/49, 8505/8192

POTE generator: ~45/32 = 553.721

Mapping: [2 1 10 11], 0 2 -5 -5]]

Wedgie⟨⟨ 4 -10 -10 -25 -27 5 ]]

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Badness: 0.1415

11-limit

Comma list: 45/44, 50/49, 1344/1331

POTE generator: ~11/8 = 553.882

Mapping: [{{val| 2 1 10 11 8|, {{val| 0 2 -5 -5 -1|]

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Badness: 0.0632

13-limit

Comma list: 45/44, 50/49, 78/77, 1053/1024

POTE generator: ~11/8 = 553.892

Mapping: [2 1 10 11 8 16], 0 2 -5 -5 -1 -8]]

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Badness: 0.0440