384edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
384edo is [[consistent]] in the [[7-odd-limit]]. The equal temperament [[tempering out|tempers out]] the [[misty comma]] {{monzo| 26 -12 -3 }}, and the 5-limit tritriple comma {{monzo| 31 20 -27 }} in the 5-limit, and [[3136/3125]], [[5120/5103]], [[Landscape comma|250047/250000]], and the [[mistisma]] 458752/455625 in the 7-limit. | 384edo is [[consistent]] in the [[7-odd-limit]]. The equal temperament [[tempering out|tempers out]] the [[misty comma]] {{monzo| 26 -12 -3 }} and provides the [[optimal patent val]] for the 5-limit misty temperament. It also supports the 324 & 384 temperament which is an extension of misty that divides the octave into 12, reaches [[11/7]] and [[13/8]] within two steps, and is representable with a 36-note scale. It also tempers out the 5-limit tritriple comma {{monzo| 31 20 -27 }} in the 5-limit, and [[3136/3125]], [[5120/5103]], [[Landscape comma|250047/250000]], and the [[mistisma]] 458752/455625 in the 7-limit. | ||
=== As a tuning standard === | === As a tuning standard === | ||
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** [[98304edo]] (13mu tuning) | ** [[98304edo]] (13mu tuning) | ||
** [[196608edo]] (14mu tuning) | ** [[196608edo]] (14mu tuning) | ||
== Scales == | |||
* 19 13 19 13 19 13 19 13 19 13 19 13 19 13 19 13 19 13 19 13 19 13 19 13 - 324 & 384[24] | |||
* 13 13 5 13 13 5 13 13 5 13 13 5 ... (12 times) ... 13 13 5 13 13 5 13 13 5 - 324 & 384[36] | |||
== Music == | |||
; [[Eliora]] | |||
* [https://www.youtube.com/watch?v=QR5SSfdAyLE ''Unmoveable''] (2026) - 324 & 384 temperament | |||
== External links == | == External links == | ||
* [http://tonalsoft.com/enc/number/5mu.aspx 5mu / pentamu] on [[Tonalsoft Encyclopedia]] | * [http://tonalsoft.com/enc/number/5mu.aspx 5mu / pentamu] on [[Tonalsoft Encyclopedia]] | ||
[[Category:Listen]] | |||