Semaphoresmic clan

Revision as of 07:52, 22 February 2021 by FloraC (talk | contribs) (Cleanup)

This clan tempers out the slendro diesis, 49/48, a triprime comma with factors of 2, 3 and 7.

Semaphore

Subgroup: 2.3.7

Comma list: 49/48

POTE generator: ~7/6 = 250.385

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

Mapping generators: ~2, ~7/4

Gencom mapping: [1 2 0 3], 0 -2 0 -1]]

Gencom: [2 7/6; 49/48]

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Wilsec

Comma list: 49/48, 121/120, 225/224

POTE generator: ~11/8 = 537.186

Mapping: [1 6 -1 5 4], 0 -8 6 -4 -1]]

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Badness: 0.0419

13-limit

Comma list: 49/48, 65/64, 91/90, 121/120

POTE generator: ~11/8 = 537.208

Mapping: [1 6 -1 5 4 7], 0 -8 6 -4 -1 -6]]

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Badness: 0.0252

17-limit

Comma list: 49/48, 65/64, 91/90, 121/120, 154/153

POTE generator: ~11/8 = 537.230

Mapping: [1 6 -1 5 4 7 -2], 0 -8 6 -4 -1 -6 11]]

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Badness: 0.0218

19-limit

Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153

POTE generator: ~11/8 = 537.214

Mapping: [1 6 -1 5 4 7 -2 7], 0 -8 6 -4 -1 -6 11 -5]]

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Badness: 0.0168

Nuke

Comma list: 49/48, 66/65, 77/75, 448/429

POTE generator: ~14/13 = 81.024

Mapping: [1 2 2 3 3 4], 0 -6 5 -3 7 -4]]

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Badness: 0.0486

Hemiripple

Comma list: 49/48, 6561/6250

POTE generator: ~21/20 = 50.826

Mapping: [1 2 3 3], 0 -10 -16 -5]]

Wedgie: ⟨⟨10 16 5 2 -20 -33]]

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Badness: 0.1751

11-limit

Comma list: 49/48, 121/120, 567/550

POTE generator: ~21/20 = 50.826

Mapping: [1 2 3 3 4], 0 -10 -16 -5 -13]]

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Badness: 0.0668

13-limit

Comma list: 49/48, 66/65, 121/120, 351/350

POTE generator: ~21/20 = 50.635

Mapping: [1 2 3 3 4 4], 0 -10 -16 -5 -13 -7]]

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Badness: 0.0466