Landscape family: Difference between revisions
Move odin and tyr here |
→House: + very obvious 13-limit extension |
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The '''landscape family''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the [[landscape comma]], 250047/250000. | The '''landscape family''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the [[landscape comma]], 250047/250000. | ||
== Landscape == | == Landscape == | ||
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[[Badness]] (Sintel): 0.0940 | [[Badness]] (Sintel): 0.0940 | ||
=== Overview to extensions === | |||
Extensions of landscape include landy, odin, tyr and house, all considered below. | |||
== Landy == | == Landy == | ||
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[[Badness]] (Sintel): 2.31 | [[Badness]] (Sintel): 2.31 | ||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 6656/6655, 105644/105625, 123201/123200 | |||
Mapping: {{mapping| 3 0 -13 -22 10 -10 | 0 1 4 6 0 4 | 0 0 5 10 -2 11 }} | |||
Optimal tunings: | |||
* WE: ~63/50 = 399.9957{{c}}, ~3/2 = 701.9629{{c}}, ~224/117 = 75.6993{{c}} | |||
* CWE: ~63/50 = 400.0000{{c}}, ~3/2 = 701.9689{{c}}, ~224/117 = 75.6997{{c}} | |||
{{Optimal ET sequence|legend=0| 111, 159, 270, 855, 966, 1125, 1236, 1506, 2901, 4137, 4407, 12951cef }} | |||
Badness (Sintel): 0.851 | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Landscape family| ]] <!-- main article --> | [[Category:Landscape family| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||