12/7: Difference between revisions

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{{Infobox Interval

~~| JI glyph = [[File:ji_glyph_12_7.png|x48px]]~~

| Name = supermajor sixth, septimal major sixth

~~| Ratio = 12/7~~

~~| Monzo = -2 -1 0 1~~

~~| Cents = 933.12909~~

| Name = septimal ~~supermajor~~ sixth

| Color name = r6, ru 6th

| Sound = ~~Ji-12-7-csound-foscil-220hz~~.mp3

| Sound = jid_12_7_pluck_adu_dr220.mp3

}}

In [[7-limit]] [[~~Just Intonation~~]], '''12/7''' is the '''septimal ~~supermajor~~ 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 '''septimal (super)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]].

~~[[File:jid_12_7_pluck_adu_dr220.mp3]]~~

== See also ==

* [[7/6]] – its [[octave complement]]

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

* [[Gallery of just intervals]]

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

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

* [[42/25]] -- a lower septimal major sixth

* [[Gallery of Just Intervals]]

~~[[Category:7-limit]]~~

~~[[Category:Interval]]~~

[[Category:Sixth]]

[[Category:Major sixth]]

[[Category:~~Just interval~~]]

[[Category:Supermajor sixth]]

[[Category:Over-7 intervals]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| JI glyph = [[File:ji_glyph_12_7.png|x48px]]
+| Name = supermajor sixth, septimal major sixth
-| Ratio = 12/7
-| Monzo = -2 -1 0 1
-| Cents = 933.12909
-| Name = septimal supermajor sixth
 | Color name = r6, ru 6th
-| Sound = Ji-12-7-csound-foscil-220hz.mp3
+| Sound = jid_12_7_pluck_adu_dr220.mp3
 }}
+{{Wikipedia| Septimal major sixth }}
-In [[7-limit]] [[Just Intonation]], '''12/7''' is the '''septimal supermajor 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 '''septimal (super)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]].
-[[File:jid_12_7_pluck_adu_dr220.mp3]]
 == See also ==
+* [[7/6]] – its [[octave complement]]
+* [[7/4]] – its [[twelfth complement]]
+* [[Gallery of just intervals]]
+* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample
-* [[7/6]] -- its [[octave complement]]
-* [[42/25]] -- a lower septimal major sixth
-* [[Gallery of Just Intervals]]
-[[Category:7-limit]]
-[[Category:Interval]]
 [[Category:Sixth]]
 [[Category:Major sixth]]
-[[Category:Just interval]]
+[[Category:Supermajor sixth]]
+[[Category:Over-7 intervals]]