Augmented family: Difference between revisions

Overthink (talk | contribs)
Trisected: link article
Overthink (talk | contribs)
Trisected: remove higher limits for now
Line 638: Line 638:


[[Badness]] (Sintel): 1.70
[[Badness]] (Sintel): 1.70
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
Comma list: 56/55, 91/90, 128/125, 136/135, 1029/1000
Mapping: {{Mapping| 3 3 7 9 11 7 7 | 0 3 0 -1 -1 7 9 }}
: mapping generators: ~5/4, ~8/7
Optimal tunings:
* WE: ~5/4 = 399.317{{c}}, ~8/7 = 234.609{{c}}
* CWE: ~5/4 = 400.000{{c}}, ~8/7 = 234.852{{c}}
{{Optimal ET sequence|legend=1| 15g, 36, 51ceg }}
[[Badness]] (Sintel): 1.83
=== 19-limit ===
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 56/55, 76/75, 91/90, 128/125, 136/135, 1029/1000
Mapping: {{Mapping| 3 3 7 9 11 7 7 10 | 0 3 0 -1 -1 7 9 3 }}
: mapping generators: ~5/4, ~8/7
Optimal tunings:
* WE: ~5/4 = 399.328{{c}}, ~8/7 = 234.614{{c}}
* CWE: ~5/4 = 400.000{{c}}, ~8/7 = 234.852{{c}}
{{Optimal ET sequence|legend=1| 15g, 36, 51ceg }}
[[Badness]] (Sintel): 1.62
=== 23-limit ===
Subgroup: 2.3.5.7.11.13.17.19.23
Comma list: 56/55, 76/75, 91/90, 128/125, 136/135, 161/160, 1029/1000
Mapping: {{Mapping| 3 3 7 9 11 7 7 10 13 | 0 3 0 -1 -1 7 9 3 1 }}
: mapping generators: ~5/4, ~8/7
Optimal tunings:
* WE: ~5/4 = 399.353{{c}}, ~8/7 = 234.601{{c}}
* CWE: ~5/4 = 400.000{{c}}, ~8/7 = 234.843{{c}}
{{Optimal ET sequence|legend=1| 15g, 36, 51ceg }}
[[Badness]] (Sintel): 1.54
=== 29-limit ===
Subgroup: 2.3.5.7.11.13.17.19.23.29
Comma list: 56/55, 76/75, 91/90, 128/125, 136/135, 161/160, 203/200, 1029/1000
Mapping: {{Mapping| 3 3 7 9 11 7 7 10 13 14 | 0 3 0 -1 -1 7 9 3 1 1 }}
: mapping generators: ~5/4, ~8/7
Optimal tunings:
* WE: ~5/4 = 399.388{{c}}, ~8/7 = 234.581{{c}}
* CWE: ~5/4 = 400.000{{c}}, ~8/7 = 234.819{{c}}
{{Optimal ET sequence|legend=1| 15g, 36, 51ceg }}
[[Badness]] (Sintel): 1.52


== Niner ==
== Niner ==