729/484: Difference between revisions

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'''729/484''', the '''Alpharabian wide fifth''' (709.09¢), is [[243/242]] (7.1¢) above the just fifth [[3/2]].  It is the interval created by stacking two [[27/22]] neutral thirds, and can be considered a [[superpyth]] fifth.  Oddly enough, it is only about 0.003 [[cent]]s away from [[22edo]]'s approximation of the perfect fifth. This gives [[44edo]] a very accurate 27/22 approximation, even though 27/22 is not actually mapped to that interval.
'''729/484''', the '''Alpharabian wide fifth''' (709.09¢), is [[243/242]] (7.1¢) above the just fifth [[3/2]].  It is the interval created by stacking two [[27/22]] neutral thirds, and can be considered a [[superpyth]] fifth.  Oddly enough, it is only about 0.003 [[cent]]s away from [[22edo]]'s approximation of the perfect fifth. This gives [[44edo]] a very accurate 27/22 approximation, even though 27/22 is not actually mapped to that interval. The first multiple of 44edo to map it consistently is [[176edo]].


== See also ==
== See also ==
* [[968/729]] - its [[octave complement]]
* [[968/729]] - its [[octave complement]]
* [[121/81]] - the Alpharabian narrow fifth
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]