Miscellaneous 5-limit temperaments

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Below are listed some high badness temperaments (Badness > 0.2).

Stump

See also: Sensamagic clan #Pycnic and Marvel temperaments #Triton

Subgroup: 2.3.5

Comma: 273375/262144

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

POTE generator: ~64/45 = 631.737

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Badness: 0.200600

Untriton

See also: Marvel temperaments #Untriton and Porwell temperaments #Aufo

Subgroup: 2.3.5

Comma: 2270041927734375/2251799813685248

Mapping: [1 6 -7], 0 -9 19]]

POTE generator: ~45/32 = 588.722

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Badness: 0.307073

Wronecki

Subgroup: 2.3.5

Comma: 531441/500000

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

POTE generator: ~3/2 = 695.040

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Badness: 0.341757

Tritonic

Subgroup: 2.3.5

Comma: 553584375/536870912

Mapping: [1 4 -3], 0 -5 11]]

POTE generator: ~45/32 = 580.219

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Badness: 0.378527

Wizard

Subgroup: 2.3.5

Comma: 2197265625/2147483648

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

Mapping generators: ~42875/32768, ~9375/8192

POTE generator: ~5/4 = 383.212

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Badness: 0.386367

Scales (Scala files): wizard22

Hogzilla

Subgroup: 2.3.5

Comma: 4428675/4194304

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

POTE generator: ~1215/1024 = 252.649

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Badness: 0.424685

Merman

Sugbroup: 2.3.5

Comma: 1121008359375/1099511627776

Mapping: [1 5 -5], 0 -7 15]]

POTE generator: ~45/32 = 585.634

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Badness: 0.453848

Unsmate

Subgroup: 2.3.5

Comma: 17578125/16777216

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

POTE generator: ~2048/1875 = 189.049

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Badness: 0.460168

Misneb

Subgroup: 2.3.5

Comma: 145964630126953125/144115188075855872

Mapping: [1 3 1], 0 -15 14]]

POTE generator: ~16/15 = 113.240

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Badness: 0.609540

Septimin

Subgroup: 2.3.5

Comma: 35595703125/34359738368

Mapping: [1 4 1], 0 -11 6]]

POTE generator: ~75/64 = 263.658

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Badness: 0.670947

Sentinel

Subgroup: 2.3.5

Comma list: 8968066875/8589934592

Mapping: [1 3 -3], 0 -4 15]]

POTE generator: ~512/405 = 425.474

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Badness: 0.723413

Undeka

Subgroup: 2.3.5

Comma: 48828125/45349632

Mapping: [11 0 8], 0 1 1]]

POTE generator: ~3/2 = 703.829

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Badness: 0.727539

Quasitemp

Subgroup: 2.3.5

Comma list: 6103515625/5804752896

Mapping: [1 5 5], 0 -14 -11]]

POTE generator: ~3125/2592 = 292.702

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Badness: 0.767824

Chromo

Subgroup: 2.3.5

Comma: 1220703125/1146617856

Mapping: [1 1 2], 0 13 7]]

POTE generator: ~25/24 = 53.922

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Badness: 0.842835

Diesic

Subgroup: 2.3.5

Comma list: 10460353203/9765625000

Mapping: [1 2 3], 0 -13 -21]]

POTE generator: ~6561/6250 = 38.571

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Badness: 1.344681

Vinegar

Subgroup: 2.3.5

Comma: 16000000/14348907

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

POTE generator: ~10/9 = 156.861

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Badness: 0.903002

Oncle

Subgroup: 2.3.5

Comma: 145282683375/137438953472

Mapping: [1 1 6], 0 3 -19]]

POTE generator: ~4096/3645 = 232.521

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Badness: 1.244699

Genocchi

Subgroup: 2.3.5

Comma: 2359296/1953125

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

POTE generator: ~768/625 = 212.444

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Badness: 1.404977

Archaeotherium

Subgroup: 2.3.5

Comma: 597871125/536870912

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

POTE generator: ~1215/1024 = 230.351

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Badness: 1.434855

Quasimoha

Subgroup: 2.3.5

Comma: 2353579470675/2199023255552

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

POTE generator: ~1048576/885735 = 348.600

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Badness: 1.986675

Phillips

Subgroup: 2.3.5

Comma: 9685512225/8589934592

Mapping: [2 0 33], 0 1 -9]]

POTE generator: ~3/2 = 691.455

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Badness: 2.228904

Triskaidekic

Subgroup: 2.3.5

Comma: 1220703125/1073741824

Mapping: [13 0 30], 0 1 0]]

POTE generator: ~3/2 = 696.142

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Badness: 2.241568