Meantone family: Difference between revisions

Overthink (talk | contribs)
m Mohajira: link
Overthink (talk | contribs)
Mildtone: Extend to the 19-limit
Line 1,112: Line 1,112:


[[Badness]] (Sintel): 2.67
[[Badness]] (Sintel): 2.67
=== 11-limit ===
[[Subgroup]]: 2.3.5.7.11
[[Comma list]]: 81/80, 176/175, 7058/6875
{{Mapping|legend=1| 1 0 -4 -32 | 0 1 4 22 30}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.816{{c}}, ~3/2 = 698.355{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 698.455{{c}}
{{Optimal ET sequence|legend=1| 12, 43de, 55, 67 }}
[[Badness]] (Sintel): 2.15
=== 13-limit ===
[[Subgroup]]: 2.3.5.7.11.13
[[Comma list]]: 81/80, 176/175, 196/195, 832/825
{{Mapping|legend=1| 1 0 -4 -32 -44 | 0 1 4 22 30}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.788{{c}}, ~3/2 = 698.355{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 698.471{{c}}
{{Optimal ET sequence|legend=1| 12f, 55f, 67 }}
[[Badness]] (Sintel): 2.04
=== 17-limit ===
[[Subgroup]]: 2.3.5.7.11.13.17
[[Comma list]]: 81/80, 176/175, 189/197, 196/195, 832/825
{{Mapping|legend=1| 1 0 -4 -32 -44 12| 0 1 4 22 30 -5}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.655{{c}}, ~3/2 = 698.295{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 698.488{{c}}
{{Optimal ET sequence|legend=1| 12f, 55f, 67 }}
[[Badness]] (Sintel): 1.98
=== 19-limit ===
[[Subgroup]]: 2.3.5.7.11.13.19
[[Comma list]]: 81/80, 96/95, 176/175, 189/187, 196/195, 832/825
{{Mapping|legend=1| 1 0 -4 -32 -44 12 9| 0 1 4 22 30 -5 -3}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.655{{c}}, ~3/2 = 698.295{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 698.488{{c}}
{{Optimal ET sequence|legend=1| 12f, 55f, 67 }}
[[Badness]] (Sintel): 1.95
{{Todo|unify precision|review}}


== Supermean ==
== Supermean ==