Magic family: Difference between revisions
Cmloegcmluin (talk | contribs) correct per Milne's comments |
Cmloegcmluin (talk | contribs) update w/r/t final conclusions of discussion with Milne and others |
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[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* [[diamond monotone]] range: [360.000, 400.000] (3\10 to 1\3) | * [[diamond monotone]] range: [360.000, 400.000] (3\10 to 1\3) | ||
* [[diamond | * [[diamond tradeoff]] range: [378.910, 386.314] | ||
* | * diamond monotone and tradeoff range: [378.910, 386.314] | ||
[[Algebraic generator]]: Terzbirat, the positive root of 9''x''<sup>2</sup> - 8''x'' - 4 = (4 + 2√13)/9; approximately 380.3175 [[cent]]s. | [[Algebraic generator]]: Terzbirat, the positive root of 9''x''<sup>2</sup> - 8''x'' - 4 = (4 + 2√13)/9; approximately 380.3175 [[cent]]s. | ||
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[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* [[diamond monotone]] range: [378.947, 381.818] (6\19 to 7\22) | * [[diamond monotone]] range: [378.947, 381.818] (6\19 to 7\22) | ||
* [[diamond | * [[diamond tradeoff]] range: [378.910, 386.314] | ||
* | * diamond monotone and tradeoff range: [378.947, 381.818] | ||
[[Algebraic generator]]: Tirzbirat or Septimage, the real root of 5''x''<sup>5</sup> + 4''x'' - 20, 380.7604 cents. | [[Algebraic generator]]: Tirzbirat or Septimage, the real root of 5''x''<sup>5</sup> + 4''x'' - 20, 380.7604 cents. | ||
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Tuning ranges: | Tuning ranges: | ||
* [[diamond monotone]] range: [378.947, 381.818] (6\19 to 7\22) | * [[diamond monotone]] range: [378.947, 381.818] (6\19 to 7\22) | ||
* [[diamond | * [[diamond tradeoff]] range: [378.910, 386.314] | ||
* | * diamond monotone and tradeoff range: [378.947, 381.818] | ||
Vals: {{Val list| 19, 22, 41, 104, 145c }} | Vals: {{Val list| 19, 22, 41, 104, 145c }} | ||
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Tuning ranges: | Tuning ranges: | ||
* [[diamond monotone]] range: [378.947, 381.818] (6\19 to 7\22) | * [[diamond monotone]] range: [378.947, 381.818] (6\19 to 7\22) | ||
* [[diamond | * [[diamond tradeoff]] range: [378.617, 386.314] | ||
* | * diamond monotone and tradeoff range: [378.947, 381.818] | ||
Vals: {{Val list| 19, 22f, 41, 265cdef }} | Vals: {{Val list| 19, 22f, 41, 265cdef }} | ||
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Tuning ranges: | Tuning ranges: | ||
* [[diamond monotone]] range: 378.947 (6\19) | * [[diamond monotone]] range: 378.947 (6\19) | ||
* [[diamond | * [[diamond tradeoff]] range: [359.472, 386.314] | ||
* | * diamond monotone and tradeoff range: 378.947 | ||
Vals: {{Val list| 19, 22, 41f }} | Vals: {{Val list| 19, 22, 41f }} | ||
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Tuning ranges: | Tuning ranges: | ||
* [[diamond monotone]] range: [380.488, 380.952] (13\41 to 20\63) | * [[diamond monotone]] range: [380.488, 380.952] (13\41 to 20\63) | ||
* [[diamond | * [[diamond tradeoff]] range: [378.910, 386.314] | ||
* | * diamond monotone and tradeoff range: [380.488, 380.952] | ||
Vals: {{Val list| 19f, 22, 41, 63, 104 }} | Vals: {{Val list| 19f, 22, 41, 63, 104 }} | ||