Schismic–countercommatic equivalence continuum: Difference between revisions

m Update & various cleanup
Switch to Sintel's badness, WE & CWE tunings
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{{Mapping|legend=1| 1 1 -5 | 0 2 25 }}
{{Mapping|legend=1| 1 1 -5 | 0 2 25 }}
: mapping generators: ~2, ~655360/531441


[[Optimal tuning]] ([[POTE]]): ~655360/531441 = 351.476{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.7047{{c}}, ~655360/531441 = 351.3898{{c}}
: [[error map]]: {{val| -0.295 +0.529 -0.091 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~655360/531441 = 351.4654{{c}}
: error map: {{val| 0.000 +0.976 +0.322 }}


{{Optimal ET sequence|legend=1| 41, 58, 99, 239, 338, 915b, 1253bc }}
{{Optimal ET sequence|legend=1| 17c, 41, 58, 99, 239, 338, 915b, 1253bc }}


[[Badness]] (Smith): 0.372848
[[Badness]] (Sintel): 8.75


== Kwai (5-limit) ==
== Kwai (5-limit) ==
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[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5


[[Comma list]]: {{monzo| 50 -33 1 }} = 5629499534213120/5559060566555523
[[Comma list]]: {{monzo| 50 -33 1 }}


{{Mapping|legend=1| 1 0 -50 | 0 1 33 }}
{{Mapping|legend=1| 1 0 -50 | 0 1 33 }}
: mapping generators: ~2, ~3


[[Optimal tuning]] ([[POTE]]): ~3/2 = 702.630{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.792{{c}}, ~3/2 = 702.5077{{c}}
: [[error map]]: {{val| -0.208 +0.345 -0.023 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.6243{{c}}
: error map: {{val| 0.000 +0.669 +0.288 }}


{{Optimal ET sequence|legend=1| 41, 111, 152 }}
{{Optimal ET sequence|legend=1| 41, 111, 152, 2017bbc, 2169bbc }}


[[Badness]] (Smith): 0.636715
[[Badness]] (Sintel): 14.9


== Cotoneum (5-limit) ==
== Cotoneum (5-limit) ==
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{{Mapping|legend=1| 1 0 80 | 0 1 -49 }}
{{Mapping|legend=1| 1 0 80 | 0 1 -49 }}
: mapping generators: ~2, ~3


[[Optimal tuning]] ([[POTE]]): ~3/2 = 702.315{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.8849{{c}}, ~3/2 = 702.2471{{c}}
: [[error map]]: {{val| -0.115 +0.177 +0.008 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.3162{{c}}
: error map: {{val| 0.000 +0.361 +0.190 }}


{{Optimal ET sequence|legend=1| 41, 135c, 176, 217, 475, 1167, 1642, 2117b }}
{{Optimal ET sequence|legend=1| 41, 135c, 176, 217, 475, 1167, 1642, 2117b, 3759bbc }}


[[Badness]] (Smith): 1.240078
[[Badness]] (Sintel): 29.1


== Newt (5-limit) ==
== Newt (5-limit) ==
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{{Mapping|legend=1| 1 1 19 | 0 2 -57 }}
{{Mapping|legend=1| 1 1 19 | 0 2 -57 }}
: mapping generators: ~2, ~{{monzo| 47 -28 -1 }}


[[Optimal tuning]] ([[POTE]]): ~{{monzo| 47 -28 -1 }} = 351.114{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.9120{{c}}, ~{{monzo| 47 -28 -1 }} = 351.0878{{c}}
: [[error map]]: {{val| -0.088 +0.133 +0.010 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~{{monzo| 47 -28 -1 }} = 351.1146{{c}}
: error map: {{val| 0.000 +0.274 +0.152 }}


{{Optimal ET sequence|legend=1| 41, 147c, 188, 229, 270, 1121, 1391, 1661, 1931, 3592bc, 5523bbc }}
{{Optimal ET sequence|legend=1| 41, 147c, 188, 229, 270, 1121, 1391, 1661, 1931, 3592bc, 5523bbc }}


[[Badness]] (Smith): 1.528465
[[Badness]] (Sintel): 35.9


[[Category:41edo]]
[[Category:41edo]]
[[Category:Equivalence continua]]
[[Category:Equivalence continua]]