27/20: Difference between revisions

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~~'''~~27/20~~'''~~

{{Infobox Interval

|-2 3 -1~~>~~

| Icon =

| Ratio = 27/20

| Monzo = -2 3 -1

| Cents = 519.55129

| Name = wolf fourth

| Color name =

| FJS name = P4<sub>5</sub>

| Sound = jid_27_20_pluck_adu_dr220.mp3

}}

519.~~5513 cents~~

In [[5-limit]] [[just intonation]], '''27/20''' is an interval measuring about 519.6¢. It differs from the [[4/3]] perfect fourth by [[81/80]] (about 21.5¢), the syntonic comma. It arises naturally in JI as (for instance) the difference between a 5-limit major third and a stack of five [[3/2]] perfect fifths, or as the interval between [[10/9]] and [[3/2]]. In [[12edo]] and [[meantone]] systems, this interval would be no different from 4/3, as the syntonic comma is tempered out. 27/20 has been described as a "wolf" interval, implying that it "howls," as compared to simpler intervals within the 5-limit such as [[5/4]] and [[9/8]]. Although in a 5-limit context it is traditionally avoided, it can be an essential interval in a harmonic context of higher complexity, where it may be admired for its bright and active character and its distinctness from 4/3.

~~[[File:jid_27_20_pluck_adu_dr220.mp3]] [[:File:jid_27_20_pluck_adu_dr220.mp3|sound sample]]~~

== See also ==

In [[~~5-limit|5-limit]] [[Just_intonation|Just Intonation]],~~ 27~~/20 is an interval measuring about 519.6¢. It differs from the [[4/3|4/3~~]] ~~perfect fourth by~~ [[~~81/80|81/80~~]] ~~(about 21.5¢), the syntonic comma. It arises naturally in JI as (for instance) the difference between a 5-limit major third and a stack of five~~ [[~~3/2|3/2]] perfect fifths, or as the interval between [[10/9|~~10/9]] ~~and [~~[~~3/2|3/2]]. In~~ [~~[12edo|12edo~~]] ~~and~~ [[Meantone|meantone]] systems, this interval would be no different from 4/3, as the syntonic comma is tempered out. 27/20 has been described as a "wolf" interval, implying that it "howls," as compared to simpler intervals ~~within the 5-limit such as [[5/4|5/4~~]] and [[9/8|9/8]]. Although in a 5-limit context it is traditionally avoided, it can be an essential interval in a harmonic context of higher complexity, where it may be admired for its bright and active character and its distinctness from 4/3.

* [[40/27]] – its [[octave complement]]

* [[10/9]] – its [[fifth complement]]

* [[Gallery of just intervals]]

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

[[Category:5-limit]]

[[Category:Fourth]]

[[Category:Listen]]

@@ Line 1: / Line 1: @@
-'''27/20'''
+{{Infobox Interval
-|-2 3 -1&gt;
+| Icon =
+| Ratio = 27/20
+| Monzo = -2 3 -1
+| Cents = 519.55129
+| Name = wolf fourth
+| Color name =
+| FJS name = P4<sub>5</sub>
+| Sound = jid_27_20_pluck_adu_dr220.mp3
+}}
-.5513 cents
+In [[5-limit]] [[just intonation]], '''27/20''' is an interval measuring about 519.6¢. It differs from the [[4/3]] perfect fourth by [[81/80]] (about 21.5¢), the syntonic comma. It arises naturally in JI as (for instance) the difference between a 5-limit major third and a stack of five [[3/2]] perfect fifths, or as the interval between [[10/9]] and [[3/2]]. In [[12edo]] and [[meantone]] systems, this interval would be no different from 4/3, as the syntonic comma is tempered out. 27/20 has been described as a "wolf" interval, implying that it "howls," as compared to simpler intervals within the 5-limit such as [[5/4]] and [[9/8]]. Although in a 5-limit context it is traditionally avoided, it can be an essential interval in a harmonic context of higher complexity, where it may be admired for its bright and active character and its distinctness from 4/3.
-[[File:jid_27_20_pluck_adu_dr220.mp3]] [[:File:jid_27_20_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
-In [[5-limit|5-limit]] [[Just_intonation|Just Intonation]], 27/20 is an interval measuring about 519.6¢. It differs from the [[4/3|4/3]] perfect fourth by [[81/80|81/80]] (about 21.5¢), the syntonic comma. It arises naturally in JI as (for instance) the difference between a 5-limit major third and a stack of five [[3/2|3/2]] perfect fifths, or as the interval between [[10/9|10/9]] and [[3/2|3/2]]. In [[12edo|12edo]] and [[Meantone|meantone]] systems, this interval would be no different from 4/3, as the syntonic comma is tempered out. 27/20 has been described as a "wolf" interval, implying that it "howls," as compared to simpler intervals within the 5-limit such as [[5/4|5/4]] and [[9/8|9/8]]. Although in a 5-limit context it is traditionally avoided, it can be an essential interval in a harmonic context of higher complexity, where it may be admired for its bright and active character and its distinctness from 4/3.
+* [[40/27]] – its [[octave complement]]
+* [[10/9]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
+[[Category:5-limit]]
+[[Category:Fourth]]
+[[Category:Listen]]