Septisemi temperaments: Difference between revisions

m Units & misc. cleanup
 
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== Fluorine ==
== Fluorine ==
=== 5-limit (avila) ===
: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Avila]].''
[[Subgroup]]: 2.3.5


[[Comma list]]: 729/640
{{Mapping|legend=1| 1 0 -7 | 0 1 6 }}
: mapping generators: ~2, ~3
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 666.499{{c}}
: [[error map]]: {{val| 0.000 -35.456 +12.682 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 661.593{{c}}
: error map: {{val| 0.000 -40.362 -16.754 }}
{{Optimal ET sequence|legend=1| 2c, 7c, 9, 20b, 29b }}
[[Badness]] (Smith): 0.181941
=== 7-limit ===
[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7


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{{Mapping|legend=1| 1 0 -7 -5 | 0 1 6 5 }}
{{Mapping|legend=1| 1 0 -7 -5 | 0 1 6 5 }}
: mapping generators: ~2, ~3


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 668.748{{c}}
* [[WE]]: ~2 = 1211.420{{c}}, ~3/2 = 669.369{{c}}
: [[error map]]: {{val| 0.000 -33.207 +26.177 -25.084 }}
: [[error map]]: {{val| +11.420 -21.165 +18.481 -21.980 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 663.059{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 665.210{{c}}
: error map: {{val| 0.000 -38.896 -7.960 -53.531 }}
: error map: {{val| 0.000 -36.745 +4.945 -42.777 }}


{{Optimal ET sequence|legend=1| 2c, 7c, 9, 20bdd, 29bdd }}
{{Optimal ET sequence|legend=1| 2c, 7c, 9, 20bdd, 29bdd }}


[[Badness]] (Smith): 0.055623
[[Badness]] (Sintel): 1.41


== Sodium ==
== Sodium ==
Line 59: Line 43:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~7/6 = 325.425{{c}}
* [[WE]]: ~2 = 1207.624{{c}}, ~7/6 = 322.216{{c}}
: [[error map]]: {{val| 0.000 -51.104 +40.813 +7.450 }}
: [[error map]]: {{val| +7.624 -49.898 +32.393 +13.072 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 320.182{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~7/6 = 322.210{{c}}
: error map: {{val| 0.000 -61.591 +14.597 -8.280 }}
: error map: {{val| 0.000 -57.535 +24.737 -2.196 }}


{{Optimal ET sequence|legend=1| 4, 11, 15b }}
{{Optimal ET sequence|legend=1| 4, 11 }}


[[Badness]] (Smith): 0.055814
[[Badness]] (Sintel): 1.41


[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Pages with mostly numerical content]]
[[Category:Septisemi temperaments| ]] <!-- main article -->
[[Category:Septisemi temperaments| ]] <!-- main article -->
[[Category:Rank 2]]
[[Category:Rank 2]]