Schismic rank-3 family: Difference between revisions
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Badness (Sintel): 0.779 | Badness (Sintel): 0.779 | ||
== Altierran == | |||
Named by [[Aura]] in 2021, altierran tempers out both the schisma and the [[quartisma]]. | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 32805/32768, 161280/161051 | |||
{{Mapping|legend=1| 1 0 15 1 5 | 0 1 -8 1 -1 | 0 0 0 5 1 }} | |||
: mapping generators: ~2, ~3, ~33/2 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.0326{{c}}, ~3/2 = 701.7490{{c}}, ~33/32 = 53.3904{{c}} | |||
: [[error map]]: {{val| +0.033 -0.173 -0.077 -0.060 +0.454 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.7278{{c}}, ~33/32 = 53.3946{{c}} | |||
: error map: {{val| 0.000 -0.227 -0.136 -0.125 +0.349 }} | |||
{{Optimal ET sequence|legend=1| 24, 46c, 65d, 89, 135, 159, 224, 383, 472, 696, 1168, 1327, 1551, 2023e }} | |||
[[Badness]] (Sintel): 5.48 | |||
=== Tenierian === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 10985/10976, 32805/32768, 161280/161051 | |||
Mapping: {{mapping| 1 2 -1 3 3 5 | 0 -3 24 -3 3 -11 | 0 0 0 5 1 5 }} | |||
: mapping generators: ~2, ~208/189, ~33/32 | |||
Optimal tunings: | |||
* WE: ~2 = 1200.0411{{c}}, ~208/189 = 166.0935{{c}}, ~33/32 = 53.4151{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~208/189 = 166.0886{{c}}, ~33/32 = 53.4211{{c}} | |||
{{Optimal ET sequence|legend=0| 65d, 159, 224, 383, 607, 1257, 1481e, 1705e }} | |||
Badness (Sintel): 15.8 | |||
[[Category:Schismic rank-3 family| ]] <!-- main article --> | [[Category:Schismic rank-3 family| ]] <!-- main article --> | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Catalogs of rank-3 temperaments]] | [[Category:Catalogs of rank-3 temperaments]] | ||