Werckismic temperaments: Difference between revisions
+links to temperaments discussed elsewhere |
+trimyna moved from trimyna family |
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* ''[[pele]]'', {441/440, 896/891} → [[Hemifamity family #Pele]] | * ''[[pele]]'', {441/440, 896/891} → [[Hemifamity family #Pele]] | ||
* ''[[belobog]]'', {441/440, 3136/3125} → [[Hemimean family #Belobog]] | * ''[[belobog]]'', {441/440, 3136/3125} → [[Hemimean family #Belobog]] | ||
* ''[[turan]]'', {441/440, 10976/10935} → [[Hemimage family #Turan]] | * ''[[turan]]'', {441/440, 10976/10935} → [[Hemimage family #Turan]] | ||
* ''[[snape]]'', {441/440, 19683/19600} → [[Cataharry family #Snape]] | * ''[[snape]]'', {441/440, 19683/19600} → [[Cataharry family #Snape]] | ||
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[[Badness]]: 0.419 × 10<sup>-3</sup> | [[Badness]]: 0.419 × 10<sup>-3</sup> | ||
== Trimyna == | |||
=== 7-limit === | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 50421/50000 | |||
[[Mapping]]: [{{val| 1 4 0 0 }}, {{val| 0 -5 0 1 }}, {{val| 0 0 1 1 }}] | |||
Mapping generators: ~2, ~7/5, ~5 | |||
{{Val list|legend=1| 27, 31, 58, 87, 118, 267d, 385, 412d }} <nowiki>*</nowiki> | |||
<nowiki>*</nowiki> [[optimal patent val]]: [[294edo|294]] | |||
[[Badness]]: 0.870 × 10<sup>-3</sup> | |||
[[Projection pair]]: 3 50000/16807 to 2.5.7 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: 441/440, 3388/3375 | |||
[[Mapping]]: [{{val| 1 4 0 0 5 }}, {{val| 0 -5 0 1 -8 }}, {{val| 0 0 1 1 1 }}] | |||
{{Val list|legend=1| 27e, 31, 58, 87, 118, 294, 412d }} | |||
[[Badness]]: 0.512 × 10<sup>-3</sup> | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 196/195, 352/351, 1001/1000 | |||
Mapping: [{{val| 1 4 0 0 5 -2 }}, {{val| 0 -5 0 1 -8 7 }}, {{val| 0 0 1 1 1 1 }}] | |||
Vals: {{Val list| 27e, 29, 31, 56, 58, 87, 118, 145, 232 }} | |||
Badness: 0.814 × 10<sup>-3</sup> | |||
==== Trimy ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 441/440, 676/675, 847/845 | |||
Mapping: [{{val| 1 4 0 0 5 5 }}, {{val| 0 -10 0 2 -16 -15 }}, {{val| 0 0 1 1 1 1 }}] | |||
Mapping generators: ~2, ~13/11, ~5 | |||
Vals: {{Val list| 29, 54ceeff, 58, 87, 145, 149, 207, 236d, 294 }} | |||
Badness: 1.478 × 10<sup>-3</sup> | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
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[[Category:Rank 3]] | [[Category:Rank 3]] | ||
[[Category:Varuna]] | [[Category:Varuna]] | ||
[[Category:Trimyna]] | |||