343edo: Difference between revisions
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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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** Octave size: 1199.888{{c}} | ** Octave size: 1199.888{{c}} | ||
** TE error: 0.461{{c}}/octave | ** TE error: 0.461{{c}}/octave | ||