8/5: Difference between revisions

(17 intermediate revisions by 7 users not shown)

Line 1:

{{Infobox Interval

| ~~Icon~~ = ~~[[File:8_5_glyph.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>~~

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

| ~~Ratio~~ = ~~8/5~~

| Color name = g6, gu 6th

~~| Monzo = 3 0 -1~~

~~| Cents = 813.68629~~

~~| Name = minor sixth~~

| Sound = jid_8_5_pluck_adu_dr220.mp3

~~| Color name =~~

}}

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}}).

In [[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]], 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¢).~~

== See also ==

* [[5/4]] – its [[octave complement]]

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

* [[Ed8/5]]

* [[Gallery of just intervals]]

~~See: [[Gallery of Just Intervals]]~~

== Notes ==

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

[[Category:Sixth]]

[[Category:~~interval]]~~

[[Category:Minor sixth]]

~~[[Category:just_interval]]~~

~~[[Category:ratio~~]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon = [[File:8_5_glyph.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>
+| Name = just minor sixth, classic(al) minor sixth, ptolemaic minor sixth
-| Ratio = 8/5
+| Color name = g6, gu 6th
-| Monzo = 3 0 -1
-| Cents = 813.68629
-| Name = minor sixth
 | Sound = jid_8_5_pluck_adu_dr220.mp3
-| Color name =
 }}
+{{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}}).
-In [[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]], 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¢).
+== See also ==
+* [[5/4]] – its [[octave complement]]
+* [[15/8]] – its [[twelfth complement]]
+* [[Ed8/5]]
+* [[Gallery of just intervals]]
+{{todo|expand}}
-See: [[Gallery of Just Intervals]]
+== Notes ==
+<references/>
-[[Category:5-limit]]
+[[Category:Sixth]]
-[[Category:interval]]
+[[Category:Minor sixth]]
-[[Category:just_interval]]
-[[Category:ratio]]