8/5: Difference between revisions

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{{Infobox Interval

~~| Ratio = 8/5~~

| Name = just minor sixth, classic(al) minor sixth, ptolemaic minor sixth

~~| Monzo = 3 0 -1~~

~~| Cents = 813.68629~~

| Name = classic~~/just~~ minor sixth

| Color name = g6, gu 6th

~~| FJS name = m6<sub>5</sub>~~

| Sound = jid_8_5_pluck_adu_dr220.mp3

}}

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 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]]

* [[Wikipedia: Minor sixth]]

== Notes ==

~~[[Category:5-limit]]~~

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

[[Category:Sixth]]

[[Category:Minor sixth]]

~~[[Category:Octave-reduced subharmonics]]~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 8/5
+| Name = just minor sixth, classic(al) minor sixth, ptolemaic minor sixth
-| Monzo = 3 0 -1
-| Cents = 813.68629
-| Name = classic/just minor sixth
 | Color name = g6, gu 6th
-| FJS name = m6<sub>5</sub>
 | 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 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]]
-* [[Wikipedia: Minor sixth]]
+{{todo|expand}}
+== Notes ==
+<references/>
-[[Category:5-limit]]
-[[Category:Interval ratio]]
 [[Category:Sixth]]
 [[Category:Minor sixth]]
-[[Category:Octave-reduced subharmonics]]