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 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]].

In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as [[70:84:105:120|1/(12:10:8:7)]]. 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]].

== Approximation ==

== See also ==

* [[7/6]] – its [[octave complement]]

* [[12/7]] – its [[twelfth complement]]

* [[7/4]] – its [[twelfth complement]]

* [[Gallery of ~~Just Intervals~~]]

* [[Gallery of just intervals]]

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

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[[Category:Major sixth]]

[[Category:Supermajor sixth]]

[[Category:Over-7]]

[[Category:Over-7 intervals]]

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 {{Wikipedia| Septimal major sixth }}
-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]].
+In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as [[70:84:105:120|1/(12:10:8:7)]]. 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]].
+== Approximation ==
+{{Interval edo approximation|12/7}}
 == See also ==
 * [[7/6]] – its [[octave complement]]
-* [[12/7]] – its [[twelfth complement]]
+* [[7/4]] – its [[twelfth complement]]
-* [[Gallery of Just Intervals]]
+* [[Gallery of just intervals]]
 * [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample
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 [[Category:Major sixth]]
 [[Category:Supermajor sixth]]
-[[Category:Over-7]]
+[[Category:Over-7 intervals]]