15/11: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = undecimal augmented fourth, undecimal grave infra-augmented fourth | |||
| Name = undecimal augmented fourth, | |||
| Color name = 1uy4, luyo 4th | | Color name = 1uy4, luyo 4th | ||
| Sound = jid_15_11_pluck_adu_dr220.mp3 | | Sound = jid_15_11_pluck_adu_dr220.mp3 | ||
}} | }} | ||
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]]. 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. | 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. | ||
== See also == | == See also == | ||
| Line 16: | Line 12: | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category:Superfourth]] | [[Category:Superfourth]] | ||
[[Category:Over-11]] | [[Category:Over-11 intervals]] | ||
Latest revision as of 20:13, 1 January 2025
| Interval information |
undecimal grave infra-augmented fourth
[sound info]
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 cents 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 categories of perfect fourth and tritone. 4 steps of 9edo is an excellent approximation for 15/11.