12/7: Difference between revisions

Line 4:

| Monzo = -2 -1 0 1

| Cents = 933.12909

| Name = septimal ~~supermajor~~ sixth

| Name = supermajor sixth, <br>septimal major sixth

| Color name = r6, ru 6th

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

| FJS name = M6<sub>7</sub>

| 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 '''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]].

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

== See also ==

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

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

* [[Gallery of Just Intervals]]

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

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

[[Category:7-limit]]

Line 23:

[[Category:Sixth]]

[[Category:Major sixth]]

[[Category:Supermajor sixth]]

[[Category:Just interval]]

@@ Line 4: / Line 4: @@
 | Monzo = -2 -1 0 1
 | Cents = 933.12909
-| Name = septimal supermajor sixth
+| Name = supermajor sixth, <br>septimal major sixth
 | Color name = r6, ru 6th
-| Sound = Ji-12-7-csound-foscil-220hz.mp3
+| FJS name = M6<sub>7</sub>
+| 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 '''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]].
-[[File:jid_12_7_pluck_adu_dr220.mp3]]
 == See also ==
 * [[7/6]] -- its [[octave complement]]
-* [[42/25]] -- a lower septimal major sixth
 * [[Gallery of Just Intervals]]
+* [[Wikipedia:Septimal major sixth|Septimal major sixth - Wikipedia]]
+* [[File:Ji-12-7-csound-foscil-220hz.mp3]] an alternative sound sample
 [[Category:7-limit]]
@@ Line 23: / Line 23: @@
 [[Category:Sixth]]
 [[Category:Major sixth]]
+[[Category:Supermajor sixth]]
 [[Category:Just interval]]