15/11: Difference between revisions

Line 1:

~~'''~~15/11~~'''~~

{{Infobox Interval

|0 1 1 0 -1~~>~~

| Icon =

| Ratio = 15/11

| Monzo = 0 1 1 0 -1

| Cents = 536.95077

| Name = undecimal augmented fourth

| Color name =

| Sound = jid_15_11_pluck_adu_dr220.mp3

}}

536.~~95077 cents~~

The '''undecimal augmented fourth''', or '''15/11''', is the difference between the 11th and 15th partials of the [[harmonic series]]. It is 536.95 [[cent]]s wide, exactly [[45/44]] larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo]] fourth. It is narrower than [[11/8]] by exactly [[121/120]]. 15/11 can be called a [[superfourth]], as it falls between the [[interval category|interval categories]] of [[perfect fourth]] and [[tritone]]. 4 steps of [[9edo]] is an excellent approximation for 15/11.

~~[[File:jid_15_11_pluck_adu_dr220.mp3]] [[:File:jid_15_11_pluck_adu_dr220.mp3|sound sample]]~~

== See also ==

~~The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the~~ [[~~OverToneSeries|harmonic series~~]]~~. It is 536.95~~ [[~~cent|cents]] wide, exactly [[45~~/~~44|45/44~~]] ~~larger than a perfect fourth, and almost exactly a sixth~~-~~tone sharper than a~~ [[~~12edo|12edo~~]] fourth. It is narrower than [[11/8|11/8]] by exactly [[121/120|121/120]]. 15/11 can be called a [[Superfourth|superfourth]], as it falls between the [[interval_category|interval categories]] of [[Perfect_fourth|perfect fourth]] and [[tritone|tritone]]. 4 steps of [[9edo|9edo]] is an excellent approximation for 15/11.

* [[Gallery of just intervals]]

* [[22/15]] -- its [[octave complement]]

~~See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]~~ [[Category:11-limit]]

[[Category:11-limit]]

[[Category:~~fourth~~]]

[[Category:Fourth]]

[[Category:~~interval~~]]

[[Category:Interval ratio]]

[[Category:~~just_interval]]~~

[[Category:Just interval]]

~~[[Category:ratio~~]]

[[Category:Superfourth]]

[[Category:~~superfourth~~]]

[[Category:Undecimal]]

[[Category:~~undecimal~~]]

@@ Line 1: / Line 1: @@
-'''15/11'''
+{{Infobox Interval
-|0 1 1 0 -1&gt;
+| Icon =
+| Ratio = 15/11
+| Monzo = 0 1 1 0 -1
+| Cents = 536.95077
+| Name = undecimal augmented fourth
+| Color name =
+| Sound = jid_15_11_pluck_adu_dr220.mp3
+}}
-.95077 cents
+The '''undecimal augmented fourth''', or '''15/11''', is the difference between the 11th and 15th partials of the [[harmonic series]]. It is 536.95 [[cent]]s wide, exactly [[45/44]] larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo]] fourth. It is narrower than [[11/8]] by exactly [[121/120]]. 15/11 can be called a [[superfourth]], as it falls between the [[interval category|interval categories]] of [[perfect fourth]] and [[tritone]]. 4 steps of [[9edo]] is an excellent approximation for 15/11.
-[[File:jid_15_11_pluck_adu_dr220.mp3]] [[:File:jid_15_11_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
-The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the [[OverToneSeries|harmonic series]]. It is 536.95 [[cent|cents]] wide, exactly [[45/44|45/44]] larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo|12edo]] fourth. It is narrower than [[11/8|11/8]] by exactly [[121/120|121/120]]. 15/11 can be called a [[Superfourth|superfourth]], as it falls between the [[interval_category|interval categories]] of [[Perfect_fourth|perfect fourth]] and [[tritone|tritone]]. 4 steps of [[9edo|9edo]] is an excellent approximation for 15/11.
+* [[Gallery of just intervals]]
+* [[22/15]] -- its [[octave complement]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:11-limit]]
+[[Category:11-limit]]
-[[Category:fourth]]
+[[Category:Fourth]]
-[[Category:interval]]
+[[Category:Interval ratio]]
-[[Category:just_interval]]
+[[Category:Just interval]]
-[[Category:ratio]]
+[[Category:Superfourth]]
-[[Category:superfourth]]
+[[Category:Undecimal]]
-[[Category:undecimal]]