15/11 - Revision history

FloraC: Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

2025-11-03T13:07:29Z

Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

← Older revision		Revision as of 13:07, 3 November 2025
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	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.		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 ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 15/11}}		{{Interval edo approximation\|15/11}}
	== See also ==		== See also ==
	* [[22/15]] – its [[octave complement]]		* [[22/15]] – its [[octave complement]]

Pailiaq at 07:22, 3 November 2025

2025-11-03T07:22:38Z

← Older revision		Revision as of 07:22, 3 November 2025
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	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.		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 ==		== See also ==
	* [[22/15]] – its [[octave complement]]		* [[22/15]] – its [[octave complement]]

Aura at 20:13, 1 January 2025

2025-01-01T20:13:54Z

← Older revision		Revision as of 20:13, 1 January 2025
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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]]. 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 ==

FloraC: Recategorize

2024-09-30T08:46:16Z

Recategorize

← Older revision		Revision as of 08:46, 30 September 2024
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	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Superfourth]]		[[Category:Superfourth]]
	[[Category:Over-11]]		[[Category:Over-11 intervals]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T11:32:17Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 11:32, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 15/11~~		\| Name = undecimal augmented fourth, undecimal grave infra-augmented fourth
	~~\| Monzo = 0 1 1 0 -1~~
	~~\| Cents = 536.95077~~
	\| Name = undecimal augmented fourth, ~~<br>~~ undecimal grave infra-augmented fourth
	\| Color name = 1uy4, luyo 4th		\| Color name = 1uy4, luyo 4th
	~~\| FJS name = A4<sup>5</sup><sub>11</sub>~~
	\| Sound = jid_15_11_pluck_adu_dr220.mp3		\| Sound = jid_15_11_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:11-limit]]~~
	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Superfourth]]		[[Category:Superfourth]]
	[[Category:Over-11]]		[[Category:Over-11]]

KingHyperio at 18:41, 10 October 2022

2022-10-10T18:41:41Z

← Older revision		Revision as of 18:41, 10 October 2022
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]]. ~~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.		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.

	== See also ==		== See also ==

Aura at 19:15, 20 May 2022

2022-05-20T19:15:53Z

← Older revision		Revision as of 19:15, 20 May 2022
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	\| Monzo = 0 1 1 0 -1		\| Monzo = 0 1 1 0 -1
	\| Cents = 536.95077		\| 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		\| Color name = 1uy4, luyo 4th
	\| FJS name = A4<sup>5</sup><sub>11</sub>		\| 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 ==		== See also ==

Aura: Another possible name for 15/11 and some extra data

2022-05-20T15:49:09Z

Another possible name for 15/11 and some extra data

← Older revision		Revision as of 15:49, 20 May 2022
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	\| Monzo = 0 1 1 0 -1		\| Monzo = 0 1 1 0 -1
	\| Cents = 536.95077		\| Cents = 536.95077
	\| Name = undecimal augmented fourth		\| Name = undecimal augmented fourth, <br> undecimal wide acute fourth
	\| Color name = 1uy4, luyo 4th		\| Color name = 1uy4, luyo 4th
	\| FJS name = A4<sup>5</sup><sub>11</sub>		\| FJS name = A4<sup>5</sup><sub>11</sub>
Line 9:		Line 9:
	}}		}}

	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 '''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.

	== See also ==		== See also ==

Fredg999: Misc. edits, categories

2022-03-21T13:22:43Z

Misc. edits, categories

← Older revision		Revision as of 13:22, 21 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 15/11		\| Ratio = 15/11
	\| Monzo = 0 1 1 0 -1		\| Monzo = 0 1 1 0 -1
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	[[Category:11-limit]]		[[Category:11-limit]]
	~~[[Category:Interval ratio]]~~
	~~[[Category:Just interval]]~~
	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Superfourth]]		[[Category:Superfourth]]
	[[Category:Over-11]]		[[Category:Over-11]]

Fredg999 category edits: Removing from Category:Listen using Cat-a-lot

2022-02-22T23:51:30Z

Removing from Category:Listen using Cat-a-lot

← Older revision		Revision as of 23:51, 22 February 2022
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	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Superfourth]]		[[Category:Superfourth]]
	~~[[Category:Listen]]~~
	[[Category:Over-11]]		[[Category:Over-11]]