Superpyth–22 equivalence continuum: Difference between revisions
Move superpyth, doublewide, and comic here |
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== Superpyth (5-limit) == | == Superpyth (5-limit) == | ||
: ''For extensions, see [[Archytas clan #Superpyth]] and [[Jubilismic clan #Bipyth]].'' | : ''For extensions, see [[Archytas clan #Superpyth]] and [[Jubilismic clan #Bipyth]].'' | ||
In the 5-limit, superpyth tempers out [[20480/19683]]. It has a fifth generator of ~3/2 = ~710¢ and ~5/4 is found at +9 generator steps, as an augmented second (C–D#). | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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{{Mapping|legend=1| 1 0 -12 | 0 1 9 }} | {{Mapping|legend=1| 1 0 -12 | 0 1 9 }} | ||
: mapping generators: ~2, ~3 | |||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
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* Dirichlet: 5.32 | * Dirichlet: 5.32 | ||
== Comic == | == Comic (5-limit) == | ||
: ''For extensions, see [[Jubilismic clan #Comic]].'' | : ''For extensions, see [[Jubilismic clan #Comic]].'' | ||
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{{Mapping|legend=1| 2 1 -3 | 0 2 7 }} | {{Mapping|legend=1| 2 1 -3 | 0 2 7 }} | ||
: mapping generators: ~2187/1600, ~40/27 | |||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~600.000, ~81/80 = 55.382 | * [[CTE]]: ~2187/1600 = 600.000, ~40/27 = 654.560 (~81/80 = 54.560) | ||
: [[error map]]: {{val| 0.000 +7.165 -4.393 }} | |||
* [[POTE]]: ~2187/1600 = 600.000, ~40/27 = 655.382 (~81/80 = 55.382) | |||
: error map: {{val| 0.000 +8.809 +1.361 }} | |||
{{Optimal ET sequence|legend=1| 20c, 22, 86b, 108b, 130b }} | {{Optimal ET sequence|legend=1| 20c, 22, 86b, 108b, 130b }} |