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]]
* ''[[trimyna]]'', {441/440, 3388/3375} → [[Trimyna family]]
* ''[[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]]