15/11: Difference between revisions

(16 intermediate revisions by 11 users not shown)

Line 1:

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

{{Infobox Interval

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

| Name = undecimal augmented fourth, undecimal grave infra-augmented fourth

| Color name = 1uy4, luyo 4th

| Sound = jid_15_11_pluck_adu_dr220.mp3

}}

536.~~95077 cents~~

The interval '''15/11''', known most frequently as the '''undecimal augmented fourth''', 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]], and is wider than [[27/20]] by exactly [[100/99]]. Additionally, it is narrower than [[243/176]] by exactly [[81/80]], which lends to it being called the '''undecimal grave infra-augmented fourth'''. 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.

== Approximation ==

== See also ==

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

* [[11/10]] – its [[fifth complement]]

* [[Gallery of just intervals]]

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

[[Category:Fourth]]

[[Category:Superfourth]]

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.

[[Category:Over-11 intervals]]

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

[[Category:~~fourth~~]]

[[Category:~~interval]]~~

~~[[Category:just_interval]]~~

~~[[Category:ratio]]~~

~~[[Category:superfourth]]~~

~~[[Category:undecimal~~]]

@@ Line 1: / Line 1: @@
-'''15/11'''
+{{Infobox Interval
-|0 1 1 0 -1&gt;
+| Name = undecimal augmented fourth, undecimal grave infra-augmented fourth
+| Color name = 	1uy4, luyo 4th
+| Sound = jid_15_11_pluck_adu_dr220.mp3
+}}
-.95077 cents
+The interval '''15/11''', known most frequently as the '''undecimal augmented fourth''', 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]], and is wider than [[27/20]] by exactly [[100/99]].  Additionally, it is narrower than [[243/176]] by exactly [[81/80]], which lends to it being called the '''undecimal grave infra-augmented fourth'''. 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.
+== Approximation ==
+{{Interval edo approximation|15/11}}
+== See also ==
+* [[22/15]] – its [[octave complement]]
+* [[11/10]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
-[[File:jid_15_11_pluck_adu_dr220.mp3]] [[:File:jid_15_11_pluck_adu_dr220.mp3|sound sample]]
+[[Category:Fourth]]
+[[Category:Superfourth]]
-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.
+[[Category:Over-11 intervals]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:11-limit]]
-[[Category:fourth]]
-[[Category:interval]]
-[[Category:just_interval]]
-[[Category:ratio]]
-[[Category:superfourth]]
-[[Category:undecimal]]

15/11: Difference between revisions

FloraC (talk | contribs)