Landscape family: Difference between revisions
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The '''landscape family''' of [[rank-3 temperament]]s tempers out the [[landscape comma]], 250047/250000. | The '''landscape family''' of [[rank-3 temperament]]s tempers out the [[landscape comma]], 250047/250000. | ||
Discussed elsewhere are: | |||
* ''[[Odin]]'' (+9801/9800 or +151263/151250) → [[Kalismic temperaments #Odin|Kalismic temperaments]] | |||
* ''[[Tyr]]'' (+3025/3024 or +102487/102400) → [[Lehmerismic temperaments #Tyr|Lehmerismic temperaments]] | |||
== Landscape | Considered below are landy and house, besides the 7-limit temperament. | ||
== Landscape == | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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[[Badness]] (Sintel): 0.094<!-- 0.02130 × 10<sup>-3</sup> by Smith's --> | [[Badness]] (Sintel): 0.094<!-- 0.02130 × 10<sup>-3</sup> by Smith's --> | ||
== Landy == | |||
Landy tempers out the [[441/440|werckisma]] and [[4375/4356|fantaresma]], alongside the landscape comma. | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 441/440, 4375/4356 | |||
{{Mapping|legend=1| 3 0 0 4 -1 | 0 1 0 -2 -2 | 0 0 1 2 3 }} | |||
: mapping generators: ~63/50, ~3, ~5 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~63/50 = 400.078{{c}}, ~3/2 = 701.696{{c}}, ~5/4 = 385.162{{c}} | |||
* [[CWE]]: ~63/50 = 400.000{{c}}, ~3/2 = 701.709{{c}}, ~5/4 = 385.341{{c}} | |||
{{Optimal ET sequence|legend=1| 12, 15, 27e, 45e, 57, 60e, 72, 159 }} | |||
[[Badness]] (Sintel): 0.792 | |||
== House == | == House == | ||