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343edo: Difference between revisions

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BudjarnLambeth (talk | contribs)
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Tag: Reverted
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,263 edits
Types 434 instead of 343, time to redo the last hour of work :p
Tag: Manual revert
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 343 factors into 7<sup>3</sup>, 343edo has [[7edo]] and [[49edo]] as its subsets. [[686edo]], which doubles it, gives a good correction to the harmonics 3 and 5.
Since 343 factors into 7<sup>3</sup>, 343edo has [[7edo]] and [[49edo]] as its subsets. [[686edo]], which doubles it, gives a good correction to the harmonics 3 and 5.
== Use as a NEJI ==
Of all n-[[afdo]]s where n is between 343 and 800, and where n is a multiple of a simple prime by any number of 2s, or a simple semiprime by any number of 2s, [[476afdo]] (''7x17x2x2'') approximates 343edo best. (''See [[User:BudjarnLambeth/Approximating 434edo in afdos|Approximating 434edo in afdos]].)''
343edo could be approximated into 476afdo as a [[neji]] scale. Doing so would make it an over-17-by-7 scale (when viewed through a [[primodal]] lens).
It would make sense to use smaller over-17, over-7, or over-17-by-7 JI scales as subsets of this neji.


== Regular temperament properties ==
== Regular temperament properties ==
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