6/5: Difference between revisions
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{| | {{Infobox Interval | ||
| Icon = [[File:glyph_6_5.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small> | |||
| Ratio = 6/5 | |||
| | | Monzo = 1 1 -1 | ||
| | | | Cents = 315.64129 | ||
| Name = minor third | |||
| Sound = jid_6_5_pluck_adu_dr220.mp3 | |||
| Color name = | |||
}} | |||
'''6/5''' | 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. | |||
[[ | == See also == | ||
* [[Gallery of Just Intervals]] | |||
* [[List of root-3rd-P5 triads in JI]] | |||
[[Category:5-limit]] | |||
[[Category:interval]] | [[Category:interval]] | ||
[[Category:just_interval]] | [[Category:just_interval]] | ||
Revision as of 22:45, 17 October 2018
| Interval information |
reduced
[sound info]
In 5-limit Just Intonation, 6/5 is the classic minor third, measuring about 315.6¢. 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-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.