4/3: Difference between revisions

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Temperaments: add paragraph on 4/3-generated temperaments and de-emphasize bixby
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== Temperaments ==
== Temperaments ==
If 4/3 is taken as a comma to be [[Tempering out|tempered out]], it leads to [[bixby]] temperament, the simplest [[circular temperament]].
4/3 can be used as a generator for many temperaments, such as [[meantone]], [[superpyth]], and [[schismic]]. Meantone sharpens 4/3 to around 500–505{{C}} and map four of them to [[8/5]] plus an octave, while superpyth flattens 4/3 to around 489–491{{C}} and map two of them to [[7/4]]. Schismic leaves 4/3 close to just, and slightly sharp in optimal tunings, so eight 4/3's stack to [[5/4]] plus three octaves.
 
If 4/3 is taken as a comma to be [[Tempering out|tempered out]], it leads to [[bixby]] temperament, the simplest [[circular temperament]]. This temperament is very inaccurate and is only supported by [[1edo]].


== See also ==
== See also ==
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