15/11: Difference between revisions

Line 3:

| Monzo = 0 1 1 0 -1

| Cents = 536.95077

| Name = undecimal augmented fourth, undecimal ~~wide acute~~ fourth

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

| Color name = 1uy4, luyo 4th

| FJS name = A4511

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}}

The interval '''15/11''', known most frequently as '''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]], ~~and~~, ~~in reference~~ to ~~both of these aspects,~~ it ~~can also be~~ called the '''undecimal ~~wide acute~~ 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.

The interval '''15/11''', known most frequently as '''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]]. More importantly, 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.

== See also ==

@@ Line 3: / Line 3: @@
 | Monzo = 0 1 1 0 -1
 | Cents = 536.95077
-| Name = undecimal augmented fourth, <br> undecimal wide acute fourth
+| Name = undecimal augmented fourth, <br> undecimal grave infra-augmented fourth
 | Color name = 	1uy4, luyo 4th
 | FJS name = A4<sup>5</sup><sub>11</sub>
@@ Line 9: / Line 9: @@
 }}
-The interval '''15/11''', known most frequently as '''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]], and, in reference to both of these aspects, it can also be called the '''undecimal wide acute 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.
+The interval '''15/11''', known most frequently as '''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]].  More importantly, 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.
 == See also ==