21/11: Difference between revisions

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{{Infobox Interval

~~| JI glyph =~~

| Name = large undecimal diminished octave, undecimal major seventh, pentacircle major seventh

~~| Ratio = 21/11~~

| Color name = 1uz8, luzo 8ve

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

~~| Cents = 1119.46296~~

| Name = large undecimal diminished octave, ~~ ~~ undecimal major seventh

| Color name =

~~| FJS name = P8711~~

| Sound = jid_21_11_pluck_adu_dr220.mp3

}}

'''21/11''', commonly known as the '''large undecimal diminished octave''', is an [[11-limit]] interval, and the octave complement of [[22/21]].

~~'''21/11'''~~, the ~~'''large undecimal diminished~~ octave~~''' is~~ an [[~~11-limit~~]] interval, ~~and~~ the ~~octave complement of~~ [[22/21]]. Of note is that the Huygens-Fokker Foundation dubs this interval the '''undecimal major seventh''', which~~, in light of the size of [[33/32]],~~ also makes sense, resulting in this interval being perhaps best classified as a "sevtave" – a type of cross between a seventh and an octave.

In many notation systems (e.g. [[FJS]], [[HEJI]]), it is an imperfect octave, as it is the octave minus a stack consisting of an [[33/32|undecimal quartertone (33/32)]] and a [[64/63|septimal comma (64/63)]], neither of which changes the [[scale|scale degree]] or [[interval quality|quality]]. However, it is only sharp of the [[243/128|Pythagorean major seventh (243/128)]] by a [[896/891|pentacircle comma (896/891)]]. For this reason it could be called the '''pentacircle major seventh'''.

Of note is that the Huygens-Fokker Foundation dubs this interval the '''undecimal major seventh''', which also makes sense, resulting in this interval being perhaps best classified as a "sevtave" – a type of cross between a seventh and an octave.

== See also ==

* [[22/21]] – its [[octave complement]]

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

[[Category:Octave]]

[[Category:~~11-limit~~]]

[[Category:Diminished octave]]

[[Category:Over-11]]

[[Category:Seventh]]

[[Category:Major seventh]]

~~{{todo|expand|categorize}}~~

[[Category:Over-11 intervals]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| JI glyph =
+| Name = large undecimal diminished octave, undecimal major seventh, pentacircle major seventh
-| Ratio = 21/11
+| Color name = 1uz8, luzo 8ve
-| Monzo = 0 1 0 1 -1
-| Cents = 1119.46296
-| Name = large undecimal diminished octave, <br> undecimal major seventh
-| Color name =
-| FJS name = P8<sup>7</sup><sub>11</sub>
 | Sound = jid_21_11_pluck_adu_dr220.mp3
 }}
+'''21/11''', commonly known as the '''large undecimal diminished octave''', is an [[11-limit]] interval, and the octave complement of [[22/21]].
-'''21/11''', the '''large undecimal diminished octave''' is an [[11-limit]] interval, and the octave complement of [[22/21]]. Of note is that the Huygens-Fokker Foundation dubs this interval the '''undecimal major seventh''', which, in light of the size of [[33/32]], also makes sense, resulting in this interval being perhaps best classified as a "sevtave" – a type of cross between a seventh and an octave.
+In many notation systems (e.g. [[FJS]], [[HEJI]]), it is an imperfect octave, as it is the octave minus a stack consisting of an [[33/32|undecimal quartertone (33/32)]] and a [[64/63|septimal comma (64/63)]], neither of which changes the [[scale|scale degree]] or [[interval quality|quality]]. However, it is only sharp of the [[243/128|Pythagorean major seventh (243/128)]] by a [[896/891|pentacircle comma (896/891)]]. For this reason it could be called the '''pentacircle major seventh'''.
+Of note is that the Huygens-Fokker Foundation dubs this interval the '''undecimal major seventh''', which also makes sense, resulting in this interval being perhaps best classified as a "sevtave" – a type of cross between a seventh and an octave.
 == See also ==
 * [[22/21]] – its [[octave complement]]
-[[Category:Just interval]]
+[[Category:Octave]]
-[[Category:11-limit]]
+[[Category:Diminished octave]]
-[[Category:Over-11]]
+[[Category:Seventh]]
+[[Category:Major seventh]]
-{{todo|expand|categorize}}
+[[Category:Over-11 intervals]]