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{{Infobox Interval
{{Infobox Interval
| Icon = [[File:glyph_6_5.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>
| Name = just minor third, classic(al) minor third, ptolemaic minor third
| Ratio = 6/5
| Color name = g3, gu 3rd
| Monzo = 1 1 -1
| Cents = 315.64129
| Name = minor third
| Sound = jid_6_5_pluck_adu_dr220.mp3
| Sound = jid_6_5_pluck_adu_dr220.mp3
| Color name =
}}
}}
{{Wikipedia|Minor third}}
In [[5-limit]] [[just intonation]], '''6/5''' is the '''just minor third''', '''classic(al) minor third''', or '''ptolemaic minor third'''<ref>For reference, see [[5-limit]]. </ref>, 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 [[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 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.


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.
== Approximation ==
6/5 is very accurately approximated by [[19edo]] (5\19), and hence the [[enneadecal]] temperament.
{{Interval edo approximation}}


== See also ==  
== See also ==  
* [[Gallery of Just Intervals]]
* [[5/3]] – its [[octave complement]]
* [[List of root-3rd-P5 triads in JI]]
* [[5/4]] – its [[fifth complement]]
* [[10/9]] – its [[fourth complement]]
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]
* [[:File:Ji-6-5-csound-foscil-220hz.mp3]] – another sound example
 
== Notes ==
<references/>


[[Category:5-limit]]
[[Category:Third]]
[[Category:interval]]
[[Category:Minor third]]
[[Category:just_interval]]
[[Category:Over-5 intervals]]
[[Category:minor_third]]
[[Category:ratio]]
[[Category:superparticular]]
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