Breedsmic temperaments: Difference between revisions
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== Surmarvelpyth == | == Surmarvelpyth == | ||
Named because the generator fifth is 225/224 (marvel comma) sharp of 3/2. Defined as the 311 & 742 temperament starting with the 7-limit to the 19-limit. | Named because the generator fifth, 675/448 is 225/224 (marvel comma) sharp of 3/2. Defined as the 311 & 742 temperament starting with the 7-limit to the 19-limit. | ||
Subgroup: 2.3.5.7 | |||
Comma list: 2401/2400, [88 -33 -19 3> | |||
Mapping: 1 43 -74 -25, 0 -70 129 47 | |||
Optimal tuning (CTE): ~675/448 = 709.972 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 2401/2400, 820125/819896, 22478848/22460625 | |||
Mapping: 1 43 -74 -25 36, 0 -70 129 47 -55 | |||
Optimal tuning (CTE): ~675/448 = 709.972 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 2401/2400, 4096/4095, 6656/6655, 59535/59488 | |||
Mapping: 1 43 -74 -25 36 25, 0 -70 129 47 -55 -36 | |||
Optimal tuning (CTE): ~98/65 = 709.972 | |||
=== 17-limit === | === 17-limit === | ||
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Comma list: 2401/2400, 4096/4095, 11016/11011, 12376/12375, 14400/14399 | Comma list: 2401/2400, 4096/4095, 11016/11011, 12376/12375, 14400/14399 | ||
Mapping: 1 43 -74 -25 36 25 -103, 0 -70 129 47 -55 -36 181 | |||
Optimal tuning (CTE): ~98/65 = 709.972 | |||
===19-limit=== | ===19-limit=== | ||