Canou family: Difference between revisions

+2.3.5.7.17.19 subgroup and replace POTE with CTE
Synca: +19-limit extension
Line 73: Line 73:
{{Val list|legend=1| 94, 99e, 118, 193, 212, 311, 740, 1051d }}
{{Val list|legend=1| 94, 99e, 118, 193, 212, 311, 740, 1051d }}


[[Badness]]: 2.042 × 10<sup>-3</sup>
[[Badness]]: 2.04 × 10<sup>-3</sup>


[[Complexity spectrum]]: 4/3, 9/8, 9/7, 7/6, 5/4, 6/5, 10/9, 11/9, 8/7, 12/11, 11/10, 14/11, 11/8, 7/5
[[Complexity spectrum]]: 4/3, 9/8, 9/7, 7/6, 5/4, 6/5, 10/9, 11/9, 8/7, 12/11, 11/10, 14/11, 11/8, 7/5
Line 88: Line 88:
Optimal GPV sequence: {{val list| 94, 118f, 193f, 212, 217, 311, 740, 1051d }}
Optimal GPV sequence: {{val list| 94, 118f, 193f, 212, 217, 311, 740, 1051d }}


Badness: 2.555 × 10<sup>-3</sup>
Badness: 2.56 × 10<sup>-3</sup>
 
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 595/594, 833/832, 1156/1155, 19712/19683
 
Mapping: [{{val| 1 0 0 -1 -7 -13 -5 }}, {{val| 0 1 2 2 7 10 6 }}, {{val| 0 0 -4 3 -3 4 -2 }}]
 
Optimal tuning (CTE): ~3/2 = 702.2296, ~51/44 = 254.6012
 
Optimal GPV sequence: {{val list| 94, 118f, 193f, 212g, 217, 311, 740g, 1051dg }}
 
Badness: 1.49 × 10<sup>-3</sup>
 
=== 19-limit ===
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 595/594, 833/832, 969/968, 1156/1155, 1216/1215
 
Mapping: [{{val| 1 0 0 -1 -7 -13 -5 -6 }}, {{val| 0 1 2 2 7 10 6 7 }}, {{val| 0 0 -4 3 -3 4 -2 -4 }}]
 
Optimal tuning (CTE): ~3/2 = 702.2355, ~22/19 = 254.5930
 
Optimal GPV sequence: {{val list| 94, 118f, 193f, 212gh, 217, 311, 740g, 1051dgh }}
 
Badness: 1.00 × 10<sup>-3</sup>


== Canta ==
== Canta ==