Ragismic microtemperaments: Difference between revisions
+countritonic |
|||
| Line 1,350: | Line 1,350: | ||
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 == | ||