15/11: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

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

~~| Ratio = 15/11~~

| Color name = 1uy4, luyo 4th

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

~~| Cents = 536.95077~~

| Name = undecimal augmented fourth

| Color name =

| Sound = jid_15_11_pluck_adu_dr220.mp3

}}

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.

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]]

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

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

[[Category:Fourth]]

~~[[Category:Interval ratio]]~~

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

[[Category:Superfourth]]

[[Category:~~Undecimal~~]]

[[Category:Over-11 intervals]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = undecimal augmented fourth, undecimal grave infra-augmented fourth
-| Ratio = 15/11
+| Color name = 	1uy4, luyo 4th
-| Monzo = 0 1 1 0 -1
-| Cents = 536.95077
-| Name = undecimal augmented fourth
-| Color name =
 | Sound = jid_15_11_pluck_adu_dr220.mp3
 }}
-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.
+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]]
-* [[22/15]] -- its [[octave complement]]
-[[Category:11-limit]]
 [[Category:Fourth]]
-[[Category:Interval ratio]]
-[[Category:Just interval]]
 [[Category:Superfourth]]
-[[Category:Undecimal]]
+[[Category:Over-11 intervals]]