Ragismic microtemperaments: Difference between revisions

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Badness: 0.0286
Badness: 0.0286
== Countritonic ==
:''For the 5-limit version of this temperament, see [[Schismic-Mercator equivalence continuum #Countritonic]] and [[High badness temperaments #Countritonic]]
Countritonic (''co-un-tritonic'') can be described as the 53 & 422 temperament, generated by an octave-reduced 91st harmonic or subharmonic in the 13-limit.
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 4375/4374, 68719476736/68356598625
{{Mapping|legend=1| 1 6 19 -33 | 0 -9 -34 73 }}
: mapping generators: ~2, ~45927/32768
[[Optimal tuning]] (CTE): ~2 = 1\1, ~45927/32768 = 588.6216
{{Optimal ET sequence|legend=1| 53, 210d, 263, 316, 369, 422, 791, 1213cd, 2004bcdd }}
[[Badness]]: 0.133
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 4375/4374, 5632/5625, 2621440/2614689
Mapping: {{mapping| 1 6 19 -13 79 | 0 -9 -34 73 154 }}
Optimal tuning (CTE): ~2 = 1\1, ~539/384 = 588.6258
{{Optimal ET sequence|legend=1| 53, 316e, 369, 422, 791e, 1213cde }}
Badness: 0.0707
=== 13-limit ===
Subgroup: 2.3.5.7.11
Comma list: 2080/2079, 2200/2197, 4375/4374, 5632/5625
Mapping: {{mapping| 1 6 19 -13 79 | 0 -9 -34 73 154 -74 }}
Optimal tuning (CTE): ~2 = 1\1, ~128/91 = 588.6277
{{Optimal ET sequence|legend=1| 53, 316ef, 369f, 422, 1213cdeff, 1635bcdefff }}
Badness: 0.0366


== Quatracot ==
== Quatracot ==