5/3: Difference between revisions

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| Sound = jid_5_3_pluck_adu_dr220.mp3

}}

In [[5-limit]] [[~~Just Intonation~~]], '''5/3''' is a '''major sixth''' of about 884.4¢. It represents the difference between the 5th and 3rd ~~overtones of the~~ [[harmonic ~~series~~]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.

In [[5-limit]] [[just intonation]], '''5/3''' is a '''major sixth''' of about 884.4¢. It represents the difference between the 5th and 3rd [[harmonic]]s, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.

5/3 has a more mellow sound than 27/16, owing to its relative smallness.

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* [[6/5]] – its [[octave complement]]

* [[Gallery of just intervals]]

* [[Wikipedia: Major sixth]]

[[Category:5-limit]]

~~[[Category:Interval]]~~

~~[[Category:Just interval]]~~

~~[[Category:Ratio]]~~

[[Category:Sixth]]

[[Category:Major sixth]]

[[Category:Over-3]]

[[Category:Pages with internal sound examples]]

@@ Line 8: / Line 8: @@
 | Sound = jid_5_3_pluck_adu_dr220.mp3
 }}
+{{Wikipedia|Major sixth}}
-In [[5-limit]] [[Just Intonation]], '''5/3''' is a '''major sixth''' of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[harmonic series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.
+In [[5-limit]] [[just intonation]], '''5/3''' is a '''major sixth''' of about 884.4¢. It represents the difference between the 5th and 3rd [[harmonic]]s, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.
 /3 has a more mellow sound than 27/16, owing to its relative smallness.
@@ Line 19: / Line 20: @@
 * [[6/5]] – its [[octave complement]]
 * [[Gallery of just intervals]]
-* [[Wikipedia: Major sixth]]
 [[Category:5-limit]]
-[[Category:Interval]]
-[[Category:Just interval]]
-[[Category:Ratio]]
 [[Category:Sixth]]
 [[Category:Major sixth]]
 [[Category:Over-3]]
+[[Category:Pages with internal sound examples]]