12/7: Difference between revisions

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In [[7-limit]] [[Just Intonation]], '''12/7''' is the '''supermajor sixth''' or '''septimal major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] -- the septimal quartertone -- a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] -- Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh -- [[7/4]]~~, about 968.8¢ --~~ by [[49/48]] -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].

In [[7-limit]] [[Just Intonation]], '''12/7''' is the '''supermajor sixth''' or '''septimal major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].

== See also ==

* [[7/6]] -- its [[octave complement]]

* [[7/6]] – its [[octave complement]]

* [[Gallery of Just Intervals]]

* [[Wikipedia:Septimal major sixth|Septimal major sixth - Wikipedia]]

* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] an alternative sound sample

* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample

[[Category:7-limit]]

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 }}
-In [[7-limit]] [[Just Intonation]], '''12/7''' is the '''supermajor sixth''' or '''septimal major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] -- the septimal quartertone -- a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] -- Archytas' comma -- about 27.3¢. And finally, it differs from the harmonic seventh -- [[7/4]], about 968.8¢ -- by [[49/48]] -- the large septimal diesis or slendro diesis -- about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].
+In [[7-limit]] [[Just Intonation]], '''12/7''' is the '''supermajor sixth''' or '''septimal major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].
 == See also ==
-* [[7/6]] -- its [[octave complement]]
+* [[7/6]] – its [[octave complement]]
 * [[Gallery of Just Intervals]]
 * [[Wikipedia:Septimal major sixth|Septimal major sixth - Wikipedia]]
-* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] an alternative sound sample
+* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample
 [[Category:7-limit]]