729/704 - Revision history

Aura at 19:12, 8 June 2025

2025-06-08T19:12:23Z

← Older revision		Revision as of 19:12, 8 June 2025
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	'''729/704''', conventionally named the '''undecimal major diesis'''<ref>[http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]</ref>, is a [[medium comma]] measuring about 60.4{{cent}}. In [[Alpharabian tuning]], it is called the '''Alpharabian infra-augmented prime''' or '''Alpharabian infra-apotomic quartertone'''.		'''729/704''', conventionally named the '''undecimal major diesis'''<ref>[http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]</ref>, is a [[medium comma]] measuring about 60.4{{cent}}. In [[Alpharabian tuning]], it is called the '''Alpharabian infra-augmented prime''' or '''Alpharabian infra-apotomic quartertone'''.

	It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]]. Furthermore, three of ~~them~~ fall ~~just shy~~ of [[10/9]] by a comma that is only a little over a cent in size.		It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]]. Furthermore, three instances of this interval fall short of [[10/9]] by a comma that is only a little over a cent in size.

	== Sagittal notation ==		== Sagittal notation ==

Aura at 19:11, 8 June 2025

2025-06-08T19:11:33Z

← Older revision		Revision as of 19:11, 8 June 2025
Line 7:		Line 7:
	'''729/704''', conventionally named the '''undecimal major diesis'''<ref>[http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]</ref>, is a [[medium comma]] measuring about 60.4{{cent}}. In [[Alpharabian tuning]], it is called the '''Alpharabian infra-augmented prime''' or '''Alpharabian infra-apotomic quartertone'''.		'''729/704''', conventionally named the '''undecimal major diesis'''<ref>[http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]</ref>, is a [[medium comma]] measuring about 60.4{{cent}}. In [[Alpharabian tuning]], it is called the '''Alpharabian infra-augmented prime''' or '''Alpharabian infra-apotomic quartertone'''.

	It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]].		It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]]. Furthermore, three of them fall just shy of [[10/9]] by a comma that is only a little over a cent in size.

	== Sagittal notation ==		== Sagittal notation ==

BudjarnLambeth at 07:54, 3 November 2024

2024-11-03T07:54:38Z

← Older revision		Revision as of 07:54, 3 November 2024
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	[[Category:Quartertone]]		[[Category:Quartertone]]
	[[Category:Alpharabian]]		[[Category:Alpharabian]]
			[[Category:Commas named after their interval size]]

Dave Keenan: Added Sagittal notation section

2024-10-16T05:36:56Z

Added Sagittal notation section

← Older revision		Revision as of 05:36, 16 October 2024
Line 8:		Line 8:

	It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]].		It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]].

			== Sagittal notation ==
			In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal \| (!) }} and is called the '''11 large diesis''', or '''11L''' for short, because the simplest interval it notates is 11/1 (equiv. 11/8), as for example in F-B{{nbhsp}}{{sagittal \| (!) }}. The upward version is called '''1/11L''' or '''11L up''' and is represented by {{sagittal\| (\|) }}.

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

BudjarnLambeth: | Comma = yes

2024-01-20T07:16:18Z

| Comma = yes

← Older revision		Revision as of 07:16, 20 January 2024
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	\| Name = Alpharabian infra-augmented prime, Alpharabian infra-apotomic quartertone, undecimal major diesis		\| Name = Alpharabian infra-augmented prime, Alpharabian infra-apotomic quartertone, undecimal major diesis
	\| Color name = L1u1, lalu 1sn, Lalu comma		\| Color name = L1u1, lalu 1sn, Lalu comma
			\| Comma = yes
	}}		}}

Aura at 18:19, 6 May 2023

2023-05-06T18:19:29Z

← Older revision		Revision as of 18:19, 6 May 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Alpharabian ~~infraaugmented~~ prime, Alpharabian ~~infraapotomic~~ quartertone, undecimal major diesis		\| Name = Alpharabian infra-augmented prime, Alpharabian infra-apotomic quartertone, undecimal major diesis
	\| Color name = L1u1, lalu 1sn, Lalu comma		\| Color name = L1u1, lalu 1sn, Lalu comma
	}}		}}

	'''729/704''', conventionally named the '''undecimal major diesis'''<ref>[http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]</ref>, is a [[medium comma]] measuring about 60.4{{cent}}. In [[Alpharabian tuning]], it is called the '''Alpharabian ~~infraaugmented~~ prime''' or '''Alpharabian ~~infraapotomic~~ quartertone'''.		'''729/704''', conventionally named the '''undecimal major diesis'''<ref>[http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]</ref>, is a [[medium comma]] measuring about 60.4{{cent}}. In [[Alpharabian tuning]], it is called the '''Alpharabian infra-augmented prime''' or '''Alpharabian infra-apotomic quartertone'''.

	It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]].		It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]].

TallKite at 07:25, 14 January 2023

2023-01-14T07:25:18Z

← Older revision		Revision as of 07:25, 14 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Alpharabian infraaugmented prime, Alpharabian infraapotomic quartertone, undecimal major diesis		\| Name = Alpharabian infraaugmented prime, Alpharabian infraapotomic quartertone, undecimal major diesis
	\| Color name = L1u1, Lalu comma		\| Color name = L1u1, lalu 1sn, Lalu comma
	}}		}}

TallKite: added color name

2022-12-04T02:09:45Z

added color name

← Older revision		Revision as of 02:09, 4 December 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Alpharabian infraaugmented prime, Alpharabian infraapotomic quartertone, undecimal major diesis		\| Name = Alpharabian infraaugmented prime, Alpharabian infraapotomic quartertone, undecimal major diesis
			\| Color name = L1u1, Lalu comma
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:52:18Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:52, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 729/704~~		\| Name = Alpharabian infraaugmented prime, Alpharabian infraapotomic quartertone, undecimal major diesis
	~~\| Monzo = -6 6 0 0 -1~~
	~~\| Cents = 60.41206~~
	\| Name = Alpharabian infraaugmented prime, ~~<br>~~Alpharabian infraapotomic quartertone, ~~<br>~~ undecimal major diesis
	~~\| Color name =~~
	~~\| FJS name =~~
	~~\| Sound =~~
	}}		}}

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	<references/>		<references/>

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

Fredg999: Misc. edits, categories

2022-03-23T16:12:50Z

Misc. edits, categories

← Older revision		Revision as of 16:12, 23 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 729/704		\| Ratio = 729/704
	\| Monzo = -6 6 0 0 -1		\| Monzo = -6 6 0 0 -1
Line 10:		Line 9:
	}}		}}

	'''729/704''', the '''Alpharabian infraaugmented prime''' or '''Alpharabian infraapotomic quartertone''' is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]]~~. This interval is referred to in the [http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list] as the '''undecimal major diesis'''~~.		'''729/704''', conventionally named the '''undecimal major diesis'''<ref>[http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]</ref>, is a [[medium comma]] measuring about 60.4{{cent}}. In [[Alpharabian tuning]], it is called the '''Alpharabian infraaugmented prime''' or '''Alpharabian infraapotomic quartertone'''.

			It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]].

	== See also ==		== See also ==
	* [[1408/729]] – its [[octave complement]]		* [[1408/729]] – its [[octave complement]]
	* [[Alpharabian tuning]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

			== References ==
			<references/>

	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:~~Interval ratio~~]]		[[Category:Quartertone]]
	[[Category:Alpharabian]]		[[Category:Alpharabian]]