20480/19683: Difference between revisions

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-{{Infobox Interval|Name=superpyth comma|Color name=sayo 2nd, sayo comma}}
+{{Infobox Interval
+| Name = retroptolemaic minor second, superpyth comma
+| Color name = sayo 2nd, sayo comma
+}}
+'''20480/19683''', the '''retroptolemaic minor second''', is a [[5-limit]] [[interval]] measuring about 68.7{{cent}}. It is equal to the [[256/243|Pythagorean minor second (256/243)]] flattened by a [[81/80|syntonic comma (81/80)]]. When treated as a [[comma]] to be tempered out, it is the '''superpyth comma''', and is the difference between 5/4 and an [[Octave reduction|octave-reduced]] stack of nine [[3/2]]'s, as well as [[25/24]] minus a [[Schisma|schisma (32805/32768)]]. Tempering it out by itself defines the 5-limit version of [[superpyth]] temperament. Notable [[edo]]s that temper it out include [[17edo|17]], [[22edo|22]], and [[27edo|27]].
-/19683, the superpyth comma, is the difference between 5/4 and an [[Octave reduction|octave-reduced]] stack of nine 3/2s, as well as 25/24 minus a [[schisma]] (32805/32768). Tempering it out by itself defines the 5-limit version of [[superpyth]] temperament. Notable [[EDO|EDOs]] that temper it out include [[17edo|17]], [[22edo|22]], and [[27edo|27]].
+[[Category:Second]]
+[[Category:Semitone]]