Wizmic microtemperaments: Difference between revisions
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* ''[[Octowerck]]'', {321489/320000, 420175/419904} → [[Varunismic temperaments #Octowerck]] | * ''[[Octowerck]]'', {321489/320000, 420175/419904} → [[Varunismic temperaments #Octowerck]] | ||
* ''[[Decavish]]'', {420175/419904, 2202927104/2197265625} → [[Vishnuzmic family #Decavish]] | * ''[[Decavish]]'', {420175/419904, 2202927104/2197265625} → [[Vishnuzmic family #Decavish]] | ||
== Qak == | == Qak == | ||
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{{see also|Amity family}} | {{see also|Amity family}} | ||
The witch temperament (99&166) tempers out wizma (420175/419904) and amity comma (1600000/1594323) as well as hemfiness comma (4096000/4084101). | The witch 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]]: 0.080608 | [[Badness]]: 0.080608 | ||
=== Semiwitch === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 9801/9800, 41503/41472, 585640/583443 | |||
Mapping: [{{val|2 11 25 10 16}}, {{val|0 -25 -65 -14 -29}}] | |||
POTE generator: ~49/44 = 187.904 | |||
Vals: {{Val list| 166, 198, 364, 562, 926, 1488bd, 2414bdd }} | |||
Badness: 0.088189 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 1716/1715, 2080/2079, 2200/2197, 17303/17280 | |||
Mapping: [{{val|2 11 25 10 16 24}}, {{val|0 -25 -65 -14 -29 -53}}] | |||
POTE generator: ~39/35 = 187.904 | |||
Vals: {{Val list| 166, 198, 364, 562, 926 }} | |||
Badness: 0.038009 | |||
=== Hitch === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 3025/3024, 117649/117612, 1600000/1594323 | |||
Mapping: [{{val|1 18 45 12 -10}}, {{val|0 -50 -130 -28 41}}] | |||
POTE generator: ~1120/891 = 393.950 | |||
Vals: {{Val list| 198, 463, 661, 1124bde }} | |||
Badness: 0.093482 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 676/675, 1716/1715, 3025/3024, 1600000/1594323 | |||
Mapping: [{{val|1 18 45 12 -10 71}}, {{val|0 -50 -130 -28 41 -205}}] | |||
POTE generator: ~1120/891 = 393.948 | |||
Vals: {{Val list| 198, 463, 661 }} | |||
Badness: 0.060716 | |||
==== Hitcher ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 2080/2079, 3025/3024, 13720/13689, 28672/28561 | |||
Mapping: [{{val|1 18 45 12 -10 6}}, {{val|0 -50 -130 -28 41 -7}}] | |||
POTE generator: ~49/39 = 393.949 | |||
Vals: {{Val list| 198, 463f, 661ff }} | |||
Badness: 0.059591 | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||