Kleismic rank-3 family: Difference between revisions
- CTE tunings |
Move catakleismoid here |
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Badness (Sintel): 0.817 | Badness (Sintel): 0.817 | ||
== Catakleismoid == | |||
Catakleismoid is the same as catakleismic in the 2.3.5.7.13 subgroup but with an independent generator for prime 11. | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 225/224, 4375/4374 | |||
{{Mapping|legend=1| 1 0 1 -3 0 | 0 6 5 22 0 | 0 0 0 0 1 }} | |||
: mapping generators: ~2, ~6/5, ~11 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.5965{{c}}, ~6/5 = 316.8893{{c}}, ~11/8 = 549.5258{{c}} | |||
: [[error map]]: {{val| +0.596 -0.619 -1.271 +0.948 -0.003 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~6/5 = 316.7705{{c}}, ~11/8 = 550.0343{{c}} | |||
: error map: {{val| 0.000 -1.332 -2.461 +0.126 -1.284 }} | |||
{{Optimal ET sequence|legend=1| 19, 34d, 53, 72, 197e, 269ce, 341ce }} | |||
[[Badness]] (Sintel): 1.53 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 169/168, 225/224, 325/324 | |||
Mapping: {{mapping| 1 0 1 -3 0 0 | 0 6 5 22 0 14 | 0 0 0 0 1 0 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1200.8238{{c}}, ~6/5 = 316.9478{{c}}, ~11/8 = 548.9611{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~6/5 = 316.7939{{c}}, ~11/8 = 549.5903{{c}} | |||
{{Optimal ET sequence|legend=0| 19, 34d, 53, 72, 125f, 197ef }} | |||
Badness (Sintel): 0.853 | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Kleismic rank-3 family| ]] <!-- main article --> | [[Category:Kleismic rank-3 family| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||