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Syntonic–31 equivalence continuum: Difference between revisions

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[http://x31eq.com/cgi-bin/rt.cgi?ets=31_12c&limit=5 The temperament finder - 5-limit 31 & 12c]
[http://x31eq.com/cgi-bin/rt.cgi?ets=31_12c&limit=5 The temperament finder - 5-limit 31 & 12c]
== Ampersand ==
: ''For extensions, see [[Gamelismic clan #Miracle]].''
[[Subgroup]]: 2.3.5
[[Comma list]]: {{monzo| -25 7 6 }} = 34171875/33554432
{{Mapping|legend=1| 1 1 3 | 0 6 -7 }}
[[Optimal tuning]] ([[CWE]]): ~2 = 1200.000, ~16/15 = 116.680
{{Optimal ET sequence|legend=1| 10, 21, 31, 41, 72 }}
[[Badness]]:
* Smith: 0.165755
* Dirichlet: 3.89


== Quadlaleyo (31 & 70c) ==
== Quadlaleyo (31 & 70c) ==
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[http://x31eq.com/cgi-bin/rt.cgi?ets=31_70c&limit=5 The temperament finder - 5-limit 31 & 70c]
[http://x31eq.com/cgi-bin/rt.cgi?ets=31_70c&limit=5 The temperament finder - 5-limit 31 & 70c]


== Ampersand ==
== Lalasepbigu (31 & 13c) ==
{{See also| Gamelismic clan #Miracle }}
[[Subgroup]]: 2.3.5


[[Subgroup]]: 2.3.5
[[Comma list]]: {{monzo| -7 25 -14 }} = 847288609443/781250000000


[[Comma list]]: {{monzo| -25 7 6 }} = 34171875/33554432
{{Mapping|legend=1| 1 7 12 | 0 -14 -25 }}


{{Mapping|legend=1| 1 1 3 | 0 6 -7 }}
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~25000/19683 = 464.423


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~16/15 = 116.673
{{Optimal ET sequence|legend=1| 13c, 18bc, 31, 44c, 49bc, 75c, 80bc }}


{{Optimal ET sequence|legend=1| 10, 21, 31, 41, 72 }}
[[Badness]] (Smith): 2.094918


[[Badness]] (Smith): 0.165755
[http://x31eq.com/cgi-bin/rt.cgi?ets=31_13c&limit=5 The temperament finder - 5-limit 31 & 13c]


== Counterwürschmidt ==
== Counterwürschmidt ==
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: mapping generators: ~2, ~5/4
: mapping generators: ~2, ~5/4


[[Optimal tuning]] ([[CTE]]): ~2 = 1200.000, ~5/4 = 386.8710
[[Optimal tuning]] ([[CTE]]): ~2 = 1200.0000, ~5/4 = 386.8710


{{Optimal ET sequence|legend=1| 28b, 31, 90, 121, 152, 335, 822, 1157c, 1492c }}
{{Optimal ET sequence|legend=1| 28b, 31, 90, 121, 152, 335, 822, 1157c, 1492c }}


[[Badness]] (Smith): 0.420
[[Badness]] (Smith): 0.420
== Lalasepbigu (31 & 13c) ==
[[Subgroup]]: 2.3.5
[[Comma list]]: {{monzo| -7 25 -14 }} = 847288609443/781250000000
{{Mapping|legend=1| 1 7 12 | 0 -14 -25 }}
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~25000/19683 = 464.423
{{Optimal ET sequence|legend=1| 13c, 18bc, 31, 44c, 49bc, 75c, 80bc }}
[[Badness]] (Smith): 2.094918
[http://x31eq.com/cgi-bin/rt.cgi?ets=31_13c&limit=5 The temperament finder - 5-limit 31 & 13c]


[[Category:31edo]]
[[Category:31edo]]
[[Category:Equivalence continua]]
[[Category:Equivalence continua]]
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