21/11: Difference between revisions

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{{Infobox Interval

| Name = large undecimal diminished octave, undecimal major seventh

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

| Color name = 1uz8, luzo 8ve

| Sound = jid_21_11_pluck_adu_dr220.mp3

}}

'''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.

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

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.

== Approximation ==

== See also ==

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[[Category:Seventh]]

[[Category:Major seventh]]

[[Category:Over-11]]

[[Category:Over-11 intervals]]

~~{{todo|expand}}~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = large undecimal diminished octave, undecimal major seventh
+| Name = large undecimal diminished octave, undecimal major seventh, pentacircle major seventh
+| Color name = 1uz8, luzo 8ve
 | Sound = jid_21_11_pluck_adu_dr220.mp3
 }}
-'''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.
+'''21/11''', commonly known as the '''large undecimal diminished octave''', is an [[11-limit]] interval, and the octave complement of [[22/21]].
+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.
+== Approximation ==
+{{Interval edo approximation|21/11}}
 == See also ==
@@ Line 12: / Line 19: @@
 [[Category:Seventh]]
 [[Category:Major seventh]]
-[[Category:Over-11]]
+[[Category:Over-11 intervals]]
-{{todo|expand}}