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Gamelismic clan: Difference between revisions

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Lériendil (talk | contribs)
8,046 edits
reverted with the reason that it's significantly more accurate than 13-limit and that it's the main extension mentioned on the superkleismic page
Tag: Undo
Lériendil (talk | contribs)
8,046 edits
documented full 19-limit and alt extension
Line 1,408: Line 1,408:
* Dirichlet: 0.887
* Dirichlet: 0.887


==== 2.3.5.7.11.13.19 subgroup ====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.19
Subgroup: 2.3.5.7.11.13.17


Comma list: 100/99, 105/104, 144/143, 133/132, 190/189
Comma list: 100/99, 105/104, 120/119, 144/143, 245/242


Mapping: {{mapping| 1 4 5 2 4 8 8 | 0 -9 -10 3 -2 -16 -14 }}
Mapping: {{mapping| 1 4 5 2 4 8 10 | 0 -9 -10 3 -2 -16 -22 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000, ~6/5 = 321.936
* CTE: ~2 = 1200.000, ~6/5 = 322.136
* CWE: ~2 = 1200.000, ~6/5 = 321.961
* POTE: ~2 = 1200.000, ~6/5 = 322.149


{{Optimal ET sequence|legend=0| 11cf, 15, 26, 41 }}
{{Optimal ET sequence|legend=0| 11cfg, 15g, 26, 41 }}


Badness:  
Badness (Dirichlet): 1.007
* Smith: 0.0156
 
* Dirichlet: 0.808
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 100/99, 105/104, 120/119, 144/143, 133/132, 190/189
 
Mapping: {{mapping| 1 4 5 2 4 8 10 8 | 0 -9 -10 3 -2 -16 -22 -14 }}
 
Optimal tunings:
* CTE: ~2 = 1200.000, ~6/5 = 322.084
* CWE: ~2 = 1200.000, ~6/5 = 322.121
 
{{Optimal ET sequence|legend=0| 11cfgh, 15g, 26, 41 }}
 
Badness (Dirichlet): 0.964
 
=== Superana ===
This extension (41 & 56) is the counterpart of canonical superkleismic on the other side of 41edo.
 
Subgroup: 2.3.5.7.11.13
 
Comma list: 100/99, 196/195, 385/384, 441/440
 
Mapping: {{mapping| 1 4 5 2 4 -3 | 0 -9 -10 3 -2 25 }}
 
Optimal tunings:
* CTE: ~2 = 1200.000, ~6/5 = 321.724
* POTE: ~2 = 1200.000, ~6/5 = 321.719
 
{{Optimal ET sequence|legend=0| 15f, 26f, 41, 97, 138e }}
 
Badness (Dirichlet): 1.402
 
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 100/99, 154/153, 196/195, 256/255, 273/272
 
Mapping: {{mapping| 1 4 5 2 4 -3 -1 | 0 -9 -10 3 -2 25 19 }}
 
Optimal tunings:
* CTE: ~2 = 1200.000, ~6/5 = 321.650
* POTE: ~2 = 1200.000, ~6/5 = 321.657
 
{{Optimal ET sequence|legend=0| 15f, 26fg, 41, 56, 97g }}
 
Badness (Dirichlet): 1.452
 
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 100/99, 133/132, 154/153, 190/189, 196/195, 256/255
 
Mapping: {{mapping| 1 4 5 2 4 -3 -1 8 | 0 -9 -10 3 -2 25 19 -14 }}
 
Optimal tunings:
* CTE: ~2 = 1200.000, ~6/5 = 321.646
* POTE: ~2 = 1200.000, ~6/5 = 321.643
 
{{Optimal ET sequence|legend=0| 15f, 26fg, 41, 56, 97g }}
 
Badness (Dirichlet): 1.355


== Unidec ==
== Unidec ==
Retrieved from "https://en.xen.wiki/w/Gamelismic_clan"