8/5: Difference between revisions

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In [[5-limit]] [[just intonation]], '''8/5''' is a '''minor sixth''', measuring about 813.7¢. It is the fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7¢) ~~away from~~ [[3/2]], and an [[81/80]] (about 21.5¢) ~~away from~~ the ~~Pythagorean (~~[[~~3-limit~~]]) minor sixth of [[128/81]] (about 792.2¢).

In [[5-limit]] [[just intonation]], '''8/5''' is a '''minor sixth''', measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).

== See also ==

* [[5/4]] – its [[octave complement]]

* [[Gallery of just intervals]]

* [[Wikipedia: Minor sixth]]

[[Category:5-limit]]

~~[[Category:Interval ratio]]~~

[[Category:Sixth]]

[[Category:Minor sixth]]

[[Category:Octave-reduced subharmonics]]

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 | Sound = jid_8_5_pluck_adu_dr220.mp3
 }}
+{{Wikipedia|Minor sixth}}
-In [[5-limit]] [[just intonation]], '''8/5''' is a '''minor sixth''', measuring about 813.7¢. It is the fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7¢) away from [[3/2]], and an [[81/80]] (about 21.5¢) away from the Pythagorean ([[3-limit]]) minor sixth of [[128/81]] (about 792.2¢).
+In [[5-limit]] [[just intonation]], '''8/5''' is a '''minor sixth''', measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).
 == See also ==
 * [[5/4]] – its [[octave complement]]
 * [[Gallery of just intervals]]
-* [[Wikipedia: Minor sixth]]
 [[Category:5-limit]]
-[[Category:Interval ratio]]
 [[Category:Sixth]]
 [[Category:Minor sixth]]
 [[Category:Octave-reduced subharmonics]]