Meantone family: Difference between revisions
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= Cloudtone = | = Cloudtone = | ||
The ''cloudtone'' temperament (5&50, named by [[User:Xenllium|Xenllium]]) tempers out the [[cloudy comma]], 16807/16384 and the [[81/80|syntonic comma]], 81/80 in the 7-limit. It can be extended to the 11- and 13-limit by adding 385/384 and 105/104 to the comma list in this order. | The ''cloudtone'' temperament (5&50, named by [[User:Xenllium|Xenllium]]) tempers out the [[cloudy comma]], 16807/16384 and the [[81/80|syntonic comma]], 81/80 in the 7-limit. It can be extended to the 11- and 13-limit by adding 385/384 and 105/104 to the comma list in this order. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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[[POTE generator]]: ~3/2 = 695.720 | [[POTE generator]]: ~3/2 = 695.720 | ||
{{Val list|legend=1| 5, 45, 50 | {{Val list|legend=1| 5, 45, 50 }} | ||
[[Badness]]: 0.102256 | [[Badness]]: 0.102256 | ||
== 11-limit == | == 11-limit == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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POTE generator: ~3/2 = 696.536 | POTE generator: ~3/2 = 696.536 | ||
{{Val list | Vals: {{Val list| 5, 45, 50, 155bdd, 205bddd }} | ||
Badness: 0.070378 | Badness: 0.070378 | ||
== 13-limit == | == 13-limit == | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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POTE generator: ~3/2 = 696.162 | POTE generator: ~3/2 = 696.162 | ||
{{Val list | Vals: {{Val list| 5, 45f, 50 }} | ||
Badness: 0.048829 | Badness: 0.048829 | ||