Pentacircle clan: Difference between revisions
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== Pentacircle == | == Pentacircle == | ||
{{See also| Rank-4 temperament #Pentacircle (896/891) }} | |||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
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== Parapyth == | == Parapyth == | ||
{{Main| Parapyth }} | |||
Parapyth is the no-5 [[subgroup temperament]] tempering out [[352/351]] and [[364/363]] in the 2.3.7.11.13 subgroup. | Parapyth is the no-5 [[subgroup temperament]] tempering out [[352/351]] and [[364/363]] in the 2.3.7.11.13 subgroup. | ||
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Optimal tuning (POTE): ~3/2 = 703.9605, ~5/4 = 386.9831 | Optimal tuning (POTE): ~3/2 = 703.9605, ~5/4 = 386.9831 | ||
Optimal GPV sequence: {{Val list| 41, 46, 80, 87, 121, 167, 208, 375be, 583bef }} | |||
Badness: 1.021 × 10<sup>-3</sup> | Badness: 1.021 × 10<sup>-3</sup> | ||
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Optimal tuning (POTE): ~3/2 = 704.0831, ~5/4 = 387.3269 | Optimal tuning (POTE): ~3/2 = 704.0831, ~5/4 = 387.3269 | ||
Optimal GPV sequence: {{Val list| 41, 46, 75e, 80, 87, 121, 167, 288beg }} | |||
Badness: 0.982 × 10<sup>-3</sup> | Badness: 0.982 × 10<sup>-3</sup> | ||
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Optimal tuning (POTE): ~3/2 = 704.1691, ~7/4 = 970.8432 | Optimal tuning (POTE): ~3/2 = 704.1691, ~7/4 = 970.8432 | ||
Optimal GPV sequence: {{Val list| 17c, 29, 46, 75e, 92def, 121, 167, 288be }} | |||
Badness: 2.48 × 10<sup>-3</sup> | Badness: 2.48 × 10<sup>-3</sup> | ||
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Optimal tuning (POTE): ~3/2 = 704.1628, ~7/4 = 970.6620 | Optimal tuning (POTE): ~3/2 = 704.1628, ~7/4 = 970.6620 | ||
Optimal GPV sequence: {{Val list| 17cg, 29g, 46, 75e, 92defg, 121, 167, 288beg }} | |||
Badness: 1.52 × 10<sup>-3</sup> | Badness: 1.52 × 10<sup>-3</sup> | ||