980/729 - Revision history

CompactStar at 19:58, 21 August 2024

2024-08-21T19:58:02Z

← Older revision		Revision as of 19:58, 21 August 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = complex sensamagic fourth		\| Name = retrosensamagic fourth, complex sensamagic fourth
	\| Color name = zzy5, zozoyo 5th		\| Color name = zzy5, zozoyo 5th
	}}		}}

	'''980/729''', the '''complex sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).		'''980/729''', the '''retrosensamagic fourth''' or '''complex sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).

	It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.		It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:18:03Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:18, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 980/729~~
	~~\| Monzo = 2 -6 1 2~~
	~~\| Cents = 512.23552~~
	\| Name = complex sensamagic fourth		\| Name = complex sensamagic fourth
	\| Color name = zzy5, zozoyo 5th		\| Color name = zzy5, zozoyo 5th
	~~\| FJS name = d5<sup>5, 49</sup>~~
	~~\| Sound =~~
	}}		}}

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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:7-limit]]~~
	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Diminished fifth]]		[[Category:Diminished fifth]]
	[[Category:Sensamagic]]		[[Category:Sensamagic]]
	[[Category:Canou]]		[[Category:Canou]]

FloraC: Name

2022-02-08T17:49:38Z

Name

← Older revision		Revision as of 17:49, 8 February 2022
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	\| Monzo = 2 -6 1 2		\| Monzo = 2 -6 1 2
	\| Cents = 512.23552		\| Cents = 512.23552
	\| Name = sensamagic fourth		\| Name = complex sensamagic fourth
	\| Color name = zzy5, zozoyo 5th		\| Color name = zzy5, zozoyo 5th
	\| FJS name = d5<sup>5, 49</sup>		\| FJS name = d5<sup>5, 49</sup>
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	}}		}}

	'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).		'''980/729''', the '''complex sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).

	It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[~~Canovian~~ chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.		It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.

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

	* [[729/490]] – its octave complement		* [[729/490]] – its octave complement
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Fredg999: Misc. edits, categories

2022-01-22T05:20:27Z

Misc. edits, categories

← Older revision		Revision as of 05:20, 22 January 2022
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	}}		}}

	'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] ~~ratio~~ of about 512 cents, sharp of a ~~just~~ fourth [[4/3]] by a sensamagic comma [[245/243]].		'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).

	It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.		It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.
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	[[Category:7-limit]]		[[Category:7-limit]]
	~~[[Category:Interval]]~~
	~~[[Category:Ratio]]~~
	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Diminished fifth]]		[[Category:Diminished fifth]]
	[[Category:Sensamagic]]		[[Category:Sensamagic]]
	[[Category:Canou]]		[[Category:Canou]]

FloraC: Some more comments

2020-11-17T04:13:01Z

Some more comments

← Older revision		Revision as of 04:13, 17 November 2020
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	'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] ratio of about 512 cents, sharp of a just fourth [[4/3]] by a sensamagic comma [[245/243]].		'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] ratio of about 512 cents, sharp of a just fourth [[4/3]] by a sensamagic comma [[245/243]].

	It arises in just intonation ~~scales~~ as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]].		It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.

	== See also ==		== See also ==
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	[[Category:Diminished fifth]]		[[Category:Diminished fifth]]
	[[Category:Sensamagic]]		[[Category:Sensamagic]]
			[[Category:Canou]]

FloraC: I'll stick to the short name then

2020-11-17T03:47:51Z

I'll stick to the short name then

← Older revision		Revision as of 03:47, 17 November 2020
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	\| Monzo = 2 -6 1 2		\| Monzo = 2 -6 1 2
	\| Cents = 512.23552		\| Cents = 512.23552
	\| Name = sensamagic fourth~~, <br>septimal sesquidiminished grave fifth~~		\| Name = sensamagic fourth
	\| Color name = zzy5, zozoyo 5th		\| Color name = zzy5, zozoyo 5th
			\| FJS name = d5<sup>5, 49</sup>
	\| Sound =		\| Sound =
	}}		}}

	'''980/729''', the '''sensamagic fourth~~''' or '''septimal sesquidiminished grave fifth~~''' is a [[7-limit]] ratio of about 512 cents, sharp of a just fourth [[4/3]] by a sensamagic comma [[245/243]].		'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] ratio of about 512 cents, sharp of a just fourth [[4/3]] by a sensamagic comma [[245/243]].

	It arises in just intonation scales as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]].		It arises in just intonation scales as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]].
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	== See also ==		== See also ==

	* [[729/490]], its octave complement		* [[729/490]] – its octave complement
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Xenwolf: this is no fifth

2020-11-16T22:07:20Z

this is no fifth

← Older revision		Revision as of 22:07, 16 November 2020
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	[[Category:Ratio]]		[[Category:Ratio]]
	[[Category:Fourth]]		[[Category:Fourth]]
	~~[[Category:Fifth]]~~
	[[Category:Diminished fifth]]		[[Category:Diminished fifth]]
	[[Category:Sensamagic]]		[[Category:Sensamagic]]

FloraC: Created page with "{{Infobox Interval | Ratio = 980/729 | Monzo = 2 -6 1 2 | Cents = 512.23552 | Name = sensamagic fourth,
septimal sesquidiminished grave fifth | Color name = zzy5, zozoyo 5..."

2020-06-18T13:04:39Z

Created page with "{{Infobox Interval | Ratio = 980/729 | Monzo = 2 -6 1 2 | Cents = 512.23552 | Name = sensamagic fourth, <br>septimal sesquidiminished grave fifth | Color name = zzy5, zozoyo 5..."

New page

{{Infobox Interval
| Ratio = 980/729
| Monzo = 2 -6 1 2
| Cents = 512.23552
| Name = sensamagic fourth, <br>septimal sesquidiminished grave fifth
| Color name = zzy5, zozoyo 5th
| Sound =
}}

'''980/729''', the '''sensamagic fourth''' or '''septimal sesquidiminished grave fifth''' is a [[7-limit]] ratio of about 512 cents, sharp of a just fourth [[4/3]] by a sensamagic comma [[245/243]].

It arises in just intonation scales as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]].

== See also ==

* [[729/490]], its octave complement
* [[Gallery of just intervals]]

[[Category:7-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Fourth]]
[[Category:Fifth]]
[[Category:Diminished fifth]]
[[Category:Sensamagic]]