Trisedodge family: Difference between revisions

Update keys
Godtone (talk | contribs)
Septimal trisedodge: add 13-limit & CTE tunings
Line 38: Line 38:
{{Mapping|legend=1| 5 1 7 21 | 0 3 2 -3 }}
{{Mapping|legend=1| 5 1 7 21 | 0 3 2 -3 }}


[[Optimal tuning]] ([[POTE]]): ~144/125 = 1\5, ~25/24 = 74.9480
[[Optimal tuning]]s (all have ~144/125 = 1\5):
* [[POTE]]: ~25/24 = 74.9480
* [[CTE]]: ~25/24 = 74.515


{{Optimal ET sequence|legend=1| 15, 50d, 65d, 80 }}
{{Optimal ET sequence|legend=1| 15, 50d, 65d, 80 }}


[[Badness]]: 0.137695
Badness (Dirichlet): 3.485


=== 11-limit ===
=== 11-limit ===
Line 51: Line 53:
Mapping: {{mapping| 5 1 7 21 15 | 0 3 2 -3 1 }}
Mapping: {{mapping| 5 1 7 21 15 | 0 3 2 -3 1 }}


Optimal tuning (POTE): ~55/48 = 1\5, ~25/24 = 74.9401
Optimal tunings: (all have 1\5 = ~55/48)
* POTE: ~25/24 = 74.9401
* CTE: ~25/24 = 74.466


{{Optimal ET sequence|legend=1| 15, 50d, 65d, 80 }}
{{Optimal ET sequence|legend=1| 15, 50d, 65d, 80 }}


Badness: 0.043508
Badness (Dirichlet): 1.438
 
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 176/175, 352/351, 1040/1029, 3025/3024
 
Mapping: {{mapping| 5 1 7 21 15 37 | 0 3 2 -3 1 -8 }}
 
Optimal tuning ([[CTE]]): ~25/24 = 74.6
 
{{Optimal ET sequence|legend=1| 15f, 50df, 65d, 80, 145d }}
 
Badness (Dirichlet): 1.843


== Coblack ==
== Coblack ==