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| | 5/2 = 2.5 || 5/3 = 1.{{overline|6}} || [[Magic]] || {{monzo| -10 -1 5 }} | | | 5/2 = 2.5 || 5/3 = 1.{{overline|6}} || [[Magic]] || {{monzo| -10 -1 5 }} |
| |} | | |} |
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| == Superpyth (5-limit) ==
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| : ''For extensions, see [[Archytas clan #Superpyth]] and [[Jubilismic clan #Bipyth]].''
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| 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#).
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| [[Subgroup]]: 2.3.5
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| [[Comma list]]: 20480/19683
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| {{Mapping|legend=1| 1 0 -12 | 0 1 9 }}
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| : mapping generators: ~2, ~3
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| [[Optimal tuning]]s:
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| * [[CTE]]: ~2 = 1200.000, ~3/2 = 709.393
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| : [[error map]]: {{val| 0.000 +7.438 -1.774 }}
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| * [[POTE]]: ~2 = 1200.000, ~3/2 = 710.078
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| : error map: {{val| 0.000 +8.123 +4.385 }}
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| {{Optimal ET sequence|legend=1| 5, 17, 22, 49, 120b, 169bbc }}
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| [[Badness]] (Smith): 0.135141
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| == Doublewide (5-limit) == | | == Doublewide (5-limit) == |