6/5: Difference between revisions

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| Sound = jid_6_5_pluck_adu_dr220.mp3

}}

In [[5-limit]] [[just intonation]], '''6/5''' is the '''classic''' or '''just minor third''', measuring about 315.6[[cent|¢]]. It is sharp of the [[Pythagorean]] minor third of [[32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[EDO|edos]]. It arises in the [[harmonic series]] between the 5th and 6th ~~overtones~~ and appears in the [[5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5/4]] falling between 12 and 15, and [[3/2]] falling between 10 and 15.

In [[5-limit]] [[just intonation]], '''6/5''' is the '''classic''' or '''just minor third''', measuring about 315.6[[cent|¢]]. It is sharp of the [[Pythagorean]] minor third of [[32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[EDO|edos]]. It arises in the [[harmonic series]] between the 5th and 6th harmonics and appears in the [[5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5/4]] falling between 12 and 15, and [[3/2]] falling between 10 and 15.

In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7/6]] (about 266.9¢), the septimal subminor third, which is [[36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13/11]] (about 289.2¢), which is [[66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.

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* [[Gallery of just intervals]]

* [[List of superparticular intervals]]

* [[Wikipedia: Minor third]]

* [[:File:Ji-6-5-csound-foscil-220hz.mp3]] – another sound example

[[Category:5-limit]]

~~[[Category:Interval]]~~

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

~~[[Category:Ratio]]~~

[[Category:Third]]

[[Category:Minor third]]

[[Category:Superparticular]]

[[Category:Over-5]]

[[Category:Pages with internal sound examples]]

@@ Line 8: / Line 8: @@
 | Sound = jid_6_5_pluck_adu_dr220.mp3
 }}
+{{Wikipedia|Minor third}}
-In [[5-limit]] [[just intonation]], '''6/5''' is the '''classic''' or '''just minor third''', measuring about 315.6[[cent|¢]]. It is sharp of the [[Pythagorean]] minor third of [[32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[EDO|edos]]. It arises in the [[harmonic series]] between the 5th and 6th overtones and appears in the [[5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5/4]] falling between 12 and 15, and [[3/2]] falling between 10 and 15.
+In [[5-limit]] [[just intonation]], '''6/5''' is the '''classic''' or '''just minor third''', measuring about 315.6[[cent|¢]]. It is sharp of the [[Pythagorean]] minor third of [[32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[EDO|edos]]. It arises in the [[harmonic series]] between the 5th and 6th harmonics and appears in the [[5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5/4]] falling between 12 and 15, and [[3/2]] falling between 10 and 15.
 In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7/6]] (about 266.9¢), the septimal subminor third, which is [[36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13/11]] (about 289.2¢), which is [[66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.
@@ Line 89: / Line 89: @@
 * [[Gallery of just intervals]]
 * [[List of superparticular intervals]]
-* [[Wikipedia: Minor third]]
 * [[:File:Ji-6-5-csound-foscil-220hz.mp3]] – another sound example
 [[Category:5-limit]]
-[[Category:Interval]]
-[[Category:Just interval]]
-[[Category:Ratio]]
 [[Category:Third]]
 [[Category:Minor third]]
 [[Category:Superparticular]]
 [[Category:Over-5]]
+[[Category:Pages with internal sound examples]]