65536/59049: Difference between revisions

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{{Infobox Interval|Color name=sawa 3rd, sw3}}
{{Infobox Interval|Name=Pythagorean diminished third|Color name=sawa 3rd, sw3}}
'''65536/59049''', the '''Pythagorean diminished third''', is an interval in [[3-limit]] [[just intonation]]. It is equal to a [[32/27|pythagorean minor third]] minus an [[2187/2048|apotome]], hence the name.
'''65536/59049''', the '''Pythagorean diminished third''', is an interval in [[3-limit]] [[just intonation]]. It is equal to a [[32/27|pythagorean minor third]] minus an [[2187/2048|apotome]], hence the name.


Despite being classified as a third, it is only a [[schisma]] sharp of [[10/9]], and is thus equated with 10/9 in the [[schismic]] temperament. It is also equated to [[11/10]] in [[pele]], as well as its [[rank-2]] subtemperaments [[diaschismic]], [[mystery]], [[leapday]], and [[andromeda]].
Despite being classified as a third, it is only a [[schisma]] flat of [[10/9]], and is thus equated with 10/9 in the [[schismic]] temperament. It is also equated to [[11/10]] in [[pele]], as well as its [[rank-2]] subtemperaments [[diaschismic]], [[mystery]], [[leapday]], and [[andromeda]].


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