8/5: Difference between revisions

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In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5/4]]. </ref>, 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}}).

In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5-limit]]. </ref>, 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]]

* [[15/8]] – its [[twelfth complement]]

* [[Ed8/5]]

* [[Gallery of just intervals]]

== Notes ==

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 }}
 {{Wikipedia|Minor sixth}}
-In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5/4]]. </ref>, 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}}).
+In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5-limit]]. </ref>, 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]]
+* [[15/8]] – its [[twelfth complement]]
+* [[Ed8/5]]
 * [[Gallery of just intervals]]
+{{todo|expand}}
 == Notes ==