Wizmic microtemperaments: Difference between revisions
m Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections" Tag: Manual revert |
Proposed adding a new temperament that adds garischisma; close to 270edo chain-of-fifths with half-octaves |
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{{See also| Amity family }} | {{See also| Amity family }} | ||
The witcher temperament (99 & 166) tempers out wizma (420175/419904) and the amity comma (1600000/1594323) as well as the ''hemfiness'' comma (4096000/4084101, saquinru-atriyo). | The witcher temperament (99&166) tempers out wizma (420175/419904) and the amity comma (1600000/1594323) as well as the ''hemfiness'' comma (4096000/4084101, saquinru-atriyo). | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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Badness: 0.059591 | Badness: 0.059591 | ||
== Gariwizmic == | |||
Gariwizmic (94&176) tempers out the wizma (420175/419904) and the garischisma (33554432/33480783). It assumes a semioctave period and a perfect fifth generator that is slightly sharp of just. | |||
[[Subgroup]]: 2.3.5.7 | |||
Comma list: 420175/419904, [[33554432/33480783]] | |||
{{Mapping|legend=1| 2 2 -41 22|0 1 39 -14}} | |||
* WE: ~46305/32768 = 599.996, ~3/2 = 702.177 | |||
* CWE: ~46305/32768 = 1\2, ~3/2 = 702.217 | |||
{{Optimal ET sequence|legend=1|94, 176, 270, 364, 446, 634, 904}} | |||
[[Badness]]: 2.225 (Sintel) | |||
=== Cassawizmic === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: [[9801/9800]], [[19712/19683]], [[41503/41472]] | |||
{{Mapping|legend=1| 2 2 -41 22 -20|0 1 39 -14 23}} | |||
* WE: ~99/70 = 599.979, ~3/2 = 702.194 | |||
* CWE: ~99/70 = 1\2, ~3/2 = 702.218 | |||
{{Optimal ET sequence|legend=1|94, 176, 270, 364, 446, 634, 904}} | |||
[[Badness]]: 1.008 (Sintel) | |||
==== Subgroup: 2.3.5.7.11.13 ==== | |||
Comma list: [[2080/2079]], [[1716/1715]], [[4096/4095]], [[35035/34992]] | |||
{{Mapping|legend=1| 2 2 -41 22 -20 39|0 1 39 -14 23 -27}} | |||
* WE: ~99/70 = 599.996, ~3/2 = 702.210 | |||
* CWE: ~99/70 = 1\2, ~3/2 = 702.215 | |||
{{Optimal ET sequence|legend=1|94, 176, 270, 364, 446, 634, 904}} | |||
[[Badness]]: 0.822 (Sintel) | |||
==== Subgroup: 2.3.5.7.11.13.19 ==== | |||
Comma list: [[2080/2079]], [[1540/1539]], [[1216/1215]], [[1716/1715]], [[1729/1728]] | |||
{{Mapping|legend=1| 2 2 -41 22 -20 39|0 1 39 -14 23 -27}} | |||
* WE: ~99/70 = 599.996, ~3/2 = 702.210 | |||
* CWE: ~99/70 = 1\2, ~3/2 = 702.215 | |||
{{Optimal ET sequence|legend=1|94, 176, 270, 364, 446, 634, 904}} | |||
[[Badness]]: 0.655 (Sintel) | |||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||