Luna family: Difference between revisions
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The '''luna family''' tempers out the [[ | {{Technical data page}} | ||
The '''luna family''' tempers out the [[luna comma]], 274877906944/274658203125, which has a monzo of {{monzo| 38 -2 -15 }}. It divides [[16/3]] into fifteen parts, two of which make [[5/4]]. It also divides [[9/8]] in five and [[3/2]] in three. | |||
Temperaments discussed elsewhere include: | Temperaments discussed elsewhere include: | ||
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== Luna == | == Luna == | ||
{{see also|Luna and hemithirds}} | |||
[[Hemimean clan #Hemithirds|Hemithirds]], a strong extension of [[didacus]] that tempers out [[1029/1024]] alongside [[3136/3125]], might be considered the main [[7-limit]] extension to luna of practical interest, as [[7/4]] is found at only 5 generators. However, luna is an undoubted microtemperament of the [[5-limit]] in its own right, supported by systems like [[118edo]] and [[441edo]], and therefore merits consideration of other extensions to the 7-limit, which are documented on this page. Though of very high complexity, they continue the level of accuracy of 5-limit luna. | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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; Music | ; Music | ||
* "Moongazing" from '' | * "Moongazing" from ''Lesser Groove'' (2020) [https://xotla.bandcamp.com/track/moongazing-luna-25 Bandcamp] | [https://www.youtube.com/watch?v=EWuVnLOcaRg YouTube] – atmospheric-electro, luna[25] in 1000edo by [[Xotla]] | ||
== Lunatic == | == Lunatic == | ||
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{{Mapping|legend=1| 1 4 2 21 | 0 -15 2 -113 }} | {{Mapping|legend=1| 1 4 2 21 | 0 -15 2 -113 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~262144/234375 = 193.196 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~262144/234375 = 193.196 | ||
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: mapping generators: ~2, ~200/189 | : mapping generators: ~2, ~200/189 | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~200/189 = 96.591 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~200/189 = 96.591 | ||
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: mapping generators: ~10125/7168, ~2187/1960 | : mapping generators: ~10125/7168, ~2187/1960 | ||
[[Optimal tuning]] ([[POTE]]): ~99/70 = 1\2, ~2187/1960 = 193.1725 | [[Optimal tuning]] ([[POTE]]): ~99/70 = 1\2, ~2187/1960 = 193.1725 | ||
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[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Luna family| ]] <!-- main article --> | [[Category:Luna family| ]] <!-- main article --> | ||
[[Category:Luna| ]] <!-- key article --> | [[Category:Luna| ]] <!-- key article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] |