Trienstonic clan: Difference between revisions

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== Father ==
== Father ==
{{Main| Father }}
{{Main| Father }}
{{See also| Father family #Father }}


[[Subgroup]]: 2.3.5.7
See [[Father family #Septimal father]].
 
[[Comma list]]: 16/15, 28/27
 
{{Mapping|legend=1| 1 0 4 -2 | 0 1 -1 3 }}
 
{{Multival|legend=1| 1 -1 3 -4 2 10 }}
 
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 727.8550
* [[POTE]]: ~2 = 1\1, ~3/2 = 742.002
 
[[Minimax tuning]]:
* [[7-odd-limit]]: ~3/2 = {{monzo| 1/2 0 -1/4 1/4 }}
: [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.7/5
* [[9-odd-limit]]: ~3/2 = {{monzo| 1 -2 0 1 }} = 14/9
: [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.9/7
 
{{Optimal ET sequence|legend=1| 2d, 3d, 5, 8d, 13cd, 21bccdd }}
 
[[Badness]]: 0.021312
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 16/15, 22/21, 28/27
 
Mapping: {{mapping| 1 0 4 -2 -3 | 0 1 -1 3 4 }}
 
Optimal tunings:
* CTE: ~2 = 1\1, ~3/2 = 732.2094
* POTE: ~2 = 1\1, ~3/2 = 747.156
 
Optimal ET sequence: {{Optimal ET sequence| 2de, 3de, 5, 8d }}
 
Badness: 0.020589


== Uncle ==
== Uncle ==