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 }}