8/5: Difference between revisions

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{| ~~class~~=~~"wikitable"~~

{{Infobox Interval

|-

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

| Color name = g6, gu 6th

|-

| Sound = jid_8_5_pluck_adu_dr220.mp3

~~| | JI glyph of 8~~/5

}}

|}

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}}).

== Approximation ==

== See also ==

* [[5/4]] – its [[octave complement]]

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

* [[Ed8/5]]

* [[Gallery of just intervals]]

~~'''8~~/~~5'''~~

== Notes ==

~~|3 0 -1>~~

~~813.68629 cents~~

[[Category:Sixth]]

[[Category:Minor sixth]]

~~[[File:jid_8_5_pluck_adu_dr220.mp3]] [[:File:jid_8_5_pluck_adu_dr220.mp3|sound sample]]~~

In [[5-limit|5-limit]] [[Just_intonation|Just Intonation]], 8/5 is a minor sixth, measuring about 813.7¢. It is the 5th subharmonic, and thus the inversion of [[5/4|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|16/15]] (about 111.7¢) away from [[3/2|3/2]], and an [[81/80|81/80]] (about 21.5¢) away from the Pythagorean ([[3-limit|3-limit]]) minor sixth of [[128/81|128/81]] (about 792.2¢).

~~See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]~~ [[Category:~~5-limit~~]]

[[Category:~~interval]]~~

~~[[Category:just_interval]]~~

~~[[Category:ratio~~]]

@@ Line 1: / Line 1: @@
-{| class="wikitable"
+{{Infobox Interval
-|-
+| Name = just minor sixth, classic(al) minor sixth, ptolemaic minor sixth
-| | [[File:8_5_glyph.png|alt=8 5 glyph.png|114x123px|8 5 glyph.png]]
+| Color name = g6, gu 6th
-|-
+| Sound = jid_8_5_pluck_adu_dr220.mp3
-| | JI glyph of 8/5
+}}
-|}
+{{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-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}}).
+== Approximation ==
+{{Interval edo approximation|8/5}}
+== See also ==
+* [[5/4]] – its [[octave complement]]
+* [[15/8]] – its [[twelfth complement]]
+* [[Ed8/5]]
+* [[Gallery of just intervals]]
+{{todo|expand}}
-'''8/5'''
+== Notes ==
-|3 0 -1&gt;
+<references/>
-.68629 cents
+[[Category:Sixth]]
+[[Category:Minor sixth]]
-[[File:jid_8_5_pluck_adu_dr220.mp3]] [[:File:jid_8_5_pluck_adu_dr220.mp3|sound sample]]
-In [[5-limit|5-limit]] [[Just_intonation|Just Intonation]], 8/5 is a minor sixth, measuring about 813.7¢. It is the 5th subharmonic, and thus the inversion of [[5/4|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|16/15]] (about 111.7¢) away from [[3/2|3/2]], and an [[81/80|81/80]] (about 21.5¢) away from the Pythagorean ([[3-limit|3-limit]]) minor sixth of [[128/81|128/81]] (about 792.2¢).
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:5-limit]]
-[[Category:interval]]
-[[Category:just_interval]]
-[[Category:ratio]]