6/5: Difference between revisions

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| Monzo = 1 1 -1

| Cents = 315.64129

| Name = minor third

| Name = classic minor third

| Color name = g3, gu 3rd

| FJS name = m3<sub>5</sub>

| Sound = jid_6_5_pluck_adu_dr220.mp3

~~| Color name = g3, gu 3rd~~

}}

In [[5-limit]] [[Just Intonation]], '''6/5''' is the classic 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|~~edo~~]]s. It arises in the [[~~OverToneSeries|~~harmonic series]] between the 5th and 6th overtones and appears in the [[~~5-limit|~~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 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 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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== See also ==

* [[Gallery of Just Intervals]]

* [[~~List of root-3rd-P5 triads in JI~~]]

* [[5/3]] – its [[octave complement]]

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

* [[5/4]] – its [[fifth complement]]

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

[[Category:5-limit]]

@@ Line 4: / Line 4: @@
 | Monzo = 1 1 -1
 | Cents = 315.64129
-| Name = minor third
+| Name = classic minor third
+| Color name = g3, gu 3rd
+| FJS name = m3<sub>5</sub>
 | Sound = jid_6_5_pluck_adu_dr220.mp3
-| Color name = g3, gu 3rd
 }}
-In [[5-limit]] [[Just Intonation]], '''6/5''' is the classic 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|edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the [[5-limit|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 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 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 15: / Line 16: @@
 == See also ==
 * [[Gallery of Just Intervals]]
-* [[List of root-3rd-P5 triads in JI]]
+* [[5/3]] – its [[octave complement]]
-* [[:File:Ji-6-5-csound-foscil-220hz.mp3]] - another sound example
+* [[5/4]] – its [[fifth complement]]
+* [[:File:Ji-6-5-csound-foscil-220hz.mp3]] – another sound example
 [[Category:5-limit]]