Lehmerismic temperaments: Difference between revisions

m Cleanup and update keys
Lux: -7-limit (not a reasonable comma itself, replaced with a brief intro in the 13-limit)
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== Lux ==
== Lux ==
=== 7-limit ===
One of the generators of lux, represented by 55/48, exceeds 8/7 by 385/384, which is equated with a number of important superparticular ratios in the 13-limit: 325/324, 352/351, 364/363, and 441/440.  
[[Subgroup]]: 2.3.5.7


[[Comma list]]: 26843545600/26795786661
[[Mapping]]: [{{val| 1 0 0 6 }}, {{val| 0 1 4 -1 }}, {{val| 0 0 -5 -2 }}]
Mapping generators: ~2, ~3, ~40960/35721
{{Multival|legend=1|rank=3| 5 2 13 30 }}
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 702.1152, ~40960/35721 = 235.5941
{{Val list|legend=1| 41, 87, 128, 142, 178, 183, 224, 270, 494, 764, 1034, 1798, 6428bcdd, 8226bbcddd }}
[[Badness]]: 1.71 × 10<sup>-3</sup>
=== 11-limit ===
[[Subgroup]]: 2.3.5.7.11
[[Subgroup]]: 2.3.5.7.11