Miscellaneous 7-limit temperaments: Difference between revisions
+ buzzardsmic |
Move 7-limit varuna and trimyna here |
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[[Badness]] (Sintel): 2.10 | [[Badness]] (Sintel): 2.10 | ||
== Varuna == | |||
: ''For extensions, see [[Werckismic temperaments #Varuna]].'' | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 321489/320000 | |||
{{Mapping|legend=1| 2 0 0 9 | 0 1 0 -4 | 0 0 1 2 }} | |||
: mapping generators: ~567/400, ~3, ~5 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~567/400 = 600.1005{{c}}, ~3/2 = 701.3045{c}}, ~5/4 = 386.3934{{c}} | |||
: [[error map]]: {{val| +0.201 -0.449 +0.482 -0.353 }} | |||
* [[CWE]]: ~567/400 = 600.0000{{c}}, ~3/2 = 701.2691{{c}}, ~5/4 = 386.5935{{c}} | |||
: error map: {{val| 0.000 -0.686 +0.280 -0.715 }} | |||
{{Optimal ET sequence|legend=1| 12, 26, 34, 46, 58, 72, 118, 130, 202, 320, 450, 522, 972bd, 1174bd }} | |||
[[Badness]] (Sintel): 2.21 | |||
== Nuwell == | == Nuwell == | ||
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[[Badness]] (Sintel): 3.40 | [[Badness]] (Sintel): 3.40 | ||
== Trimyna == | |||
: ''For extensions, see [[Werckismic temperaments #Trimyna]].'' | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 50421/50000 | |||
{{Mapping|legend=1| 1 -1 0 1 | 0 5 0 -1 | 0 0 1 1 }} | |||
: mapping generators: ~2, ~10/7, ~5 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.1652{{c}}, ~10/7 = 620.4031{c}}, ~5/4 = 387.0990{{c}} | |||
: [[error map]]: {{val| +0.165 -0.105 +1.116 -1.634 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~10/7 = 620.3427{{c}}, ~5/4 = 387.2591{{c}} | |||
: error map: {{val| 0.000 -0.241 +0.945 -1.910 }} | |||
{{Optimal ET sequence|legend=1| 27, 31, 58, 87, 118, 267d, 385d, 412d }} * | |||
<nowiki>*</nowiki> [[optimal patent val]]: [[294edo|294]] | |||
[[Badness]] (Sintel): 3.84 | |||
[[Projection pair]]: <code>3 50000/16807</code> to 2.5.7 | |||
== Squalentine == | == Squalentine == | ||