Cloudy clan: 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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The '''cloudy clan''' tempers out the [[cloudy comma]], 16807/16384, thus splitting the octave into 5 equal parts and mapping the harmonic 7 to 4\5. | The '''cloudy clan''' tempers out the [[cloudy comma]], 16807/16384, thus splitting the octave into 5 equal parts and mapping the harmonic 7 to 4\5. | ||
Temperaments discussed elsewhere are [[Archytas clan #Blacksmith|blacksmith]], [[Meantone family #Cloudtone|cloudtone]], [[Pental family #Pentacloud|pentacloud]] and [[Qintosec family #Sengasec|sengasec]]. | Temperaments discussed elsewhere are [[Archytas clan #Blacksmith|blacksmith]], [[Meantone family #Cloudtone|cloudtone]], [[Pental family #Pentacloud|pentacloud]] and [[Qintosec family #Sengasec|sengasec]]. | ||
= Coblack = | = Coblack = | ||
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[[POTE generator]]: ~3/2 = 698.696 | [[POTE generator]]: ~3/2 = 698.696 | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* [[diamond monotone]] range: ~3/2 = [696.000, 700.000] (29\50 to 35\60) | * [[diamond monotone]] range: ~3/2 = [696.000, 700.000] (29\50 to 35\60) | ||
* [[diamond | * [[diamond tradeoff]] range: ~3/2 = [693.129, 702.512] | ||
* | * diamond monotone and tradeoff range: ~3/2 = [696.000, 700.000] | ||
{{Val list|legend=1| 10, 50, 60, 110d, 170cdd }} | {{Val list|legend=1| 10, 50, 60, 110d, 170cdd }} | ||
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POTE generator: ~3/2 = 696.791 | POTE generator: ~3/2 = 696.791 | ||
Tuning ranges: | Tuning ranges: | ||
* [[diamond | * [[diamond monotone]] range: ~3/2 = [696.000, 700.000] (29\50 to 35\60) | ||
* [[diamond | * [[diamond tradeoff]] range: ~3/2 = [689.363, 702.512] | ||
* | * diamond monotone and tradeoff range: ~3/2 = [696.000, 700.000] | ||
Vals: {{Val list| 10, 50, 160bcdd, 210bcddde, 260bbcddde, 310bbcdddde }} | Vals: {{Val list| 10, 50, 160bcdd, 210bcddde, 260bbcddde, 310bbcdddde }} | ||
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POTE generator: ~3/2 = 696.993 | POTE generator: ~3/2 = 696.993 | ||
Tuning ranges: | Tuning ranges: | ||
* [[diamond | * [[diamond monotone]] range: ~3/2 = [696.000, 700.000] (29\50 to 35\60) | ||
* [[diamond | * [[diamond tradeoff]] range: ~3/2 = [689.363, 702.512] | ||
* | * diamond monotone and tradeoff range: ~3/2 = [696.000, 700.000] | ||
Vals: {{Val list| 10, 50, 160bcdd, 210bcddde, 260bbcddde }} | Vals: {{Val list| 10, 50, 160bcdd, 210bcddde, 260bbcddde }} | ||
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POTE generator: ~3/2 = 697.085 | POTE generator: ~3/2 = 697.085 | ||
Tuning ranges: | Tuning ranges: | ||
* [[diamond | * [[diamond monotone]] range: ~3/2 = [696.000, 700.000] (29\50 to 35\60) | ||
* [[diamond | * [[diamond tradeoff]] range: ~3/2 = [689.363, 704.955] | ||
* | * diamond monotone and tradeoff range: ~3/2 = [696.000, 700.000] | ||
Vals: {{Val list| 10, 50, 160bcddg, 210bcdddegg }} | Vals: {{Val list| 10, 50, 160bcddg, 210bcdddegg }} | ||