Kalismic temperaments: Difference between revisions

Move 7-limit parents to a dedicated collection page
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== Linus ==
== Linus ==
{{Main| Linus }}
{{Main| Linus }}
: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Linus]].''


Linus [[tempering out|tempers out]] the [[linus comma]], {{monzo| 11 -10 -10 10 }} in the 7-limit and can be described as the 80 & 130 & 270 temperament. It tempers out 9801/9800 and 391314/390625 in the 11-limit; 1001/1000, 4225/4224, and 4459/4455 in the 13-limit. The 1/10-octave period interval represents 15/14, three of which represents 16/13, and five of which represents both 99/70 and 140/99.
Linus [[tempering out|tempers out]] the [[linus comma]], {{monzo| 11 -10 -10 10 }} in the 7-limit and can be described as the 80 & 130 & 270 temperament. It tempers out 9801/9800 and 391314/390625 in the 11-limit; 1001/1000, 4225/4224, and 4459/4455 in the 13-limit. The 1/10-octave period interval represents 15/14, three of which represents 16/13, and five of which represents both 99/70 and 140/99.


=== 7-limit ===
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 578509309952/576650390625
{{Mapping|legend=1| 10 0 0 -11 | 0 1 0 1 | 0 0 1 1 }}
: mapping generators: ~15/14, ~3, ~5
[[Optimal tuning]] ([[CTE]]): ~15/14 = 1\10, ~3/2 = 702.0437, ~5/4 = 386.5040
{{Optimal ET sequence|legend=1| 50, 60, 80, 130, 270, 1270, 1540, 1810, 1940, 2080, 2210c, 2480c }}
[[Badness]]: 1.12 × 10<sup>-3</sup>
=== 11-limit ===
[[Subgroup]]: 2.3.5.7.11
[[Subgroup]]: 2.3.5.7.11