81/70 - Revision history

Fredg999 category edits: Moving from Category:Interseptimal to Category:Interseptimal intervals using Cat-a-lot

2023-04-28T03:27:04Z

Moving from Category:Interseptimal to Category:Interseptimal intervals using Cat-a-lot

← Older revision		Revision as of 03:27, 28 April 2023
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	[[Category:Second]]		[[Category:Second]]
	[[Category:Supermajor second]]		[[Category:Supermajor second]]
	[[Category:Interseptimal]]		[[Category:Interseptimal intervals]]
	[[Category:Semifourth]]		[[Category:Semifourth]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:03:25Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:03, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 81/70~~
	~~\| Monzo = -1 4 -1 -1~~
	~~\| Cents = 252.6804~~
	\| Name = septimal ultramajor second		\| Name = septimal ultramajor second
	\| Color name = rg2, rugu 2nd		\| Color name = rg2, rugu 2nd
	~~\| FJS name = M2<sub>35</sub>~~
	\| Sound = Ji-81-70-csound-foscil-220hz.mp3		\| Sound = Ji-81-70-csound-foscil-220hz.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:7-limit]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Supermajor second]]		[[Category:Supermajor second]]
	[[Category:Interseptimal]]		[[Category:Interseptimal]]
	[[Category:Semifourth]]		[[Category:Semifourth]]

Godtone: /* Approximation */

2022-04-11T23:18:32Z

Approximation

← Older revision		Revision as of 23:18, 11 April 2022
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	== Approximation ==		== Approximation ==
	It is perfectly approximated by [[19edo]] (4\19), with an error of 0.05 cents, and hence equally well done by the [[enneadecal]] temperament.		It is near-perfectly approximated by [[19edo]] (4\19), with an error of 0.05 cents, and hence equally well done by the [[enneadecal]] temperament.

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

Fredg999 category edits: Removing from Category:Pages with internal sound examples using Cat-a-lot

2022-02-22T23:47:28Z

Removing from Category:Pages with internal sound examples using Cat-a-lot

← Older revision		Revision as of 23:47, 22 February 2022
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	[[Category:Interseptimal]]		[[Category:Interseptimal]]
	[[Category:Semifourth]]		[[Category:Semifourth]]
	~~[[Category:Pages with internal sound examples]]~~

Fredg999: Misc. edits, categories

2022-01-12T23:04:23Z

Misc. edits, categories

← Older revision		Revision as of 23:04, 12 January 2022
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	[[Category:7-limit]]		[[Category:7-limit]]
	~~[[Category:Interval]]~~
	~~[[Category:Ratio]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Supermajor second]]		[[Category:Supermajor second]]

FloraC: Clarify its function

2021-11-16T17:15:46Z

Clarify its function

← Older revision		Revision as of 17:15, 16 November 2021
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	'''81/70''', the '''septimal ultramajor second''' is a [[7-limit]] [[interseptimal]] ratio of about 253 [[cent]]s. It is sharp of a major second [[9/8]] by a septimal quartertone [[36/35]], sharp of a supermajor second [[8/7]] by a syntonic comma [[81/80]], and flat of a subminor third [[7/6]] by a sensamagic comma [[245/243]].		'''81/70''', the '''septimal ultramajor second''' is a [[7-limit]] [[interseptimal]] ratio of about 253 [[cent]]s. It is sharp of a major second [[9/8]] by a septimal quartertone [[36/35]], sharp of a supermajor second [[8/7]] by a syntonic comma [[81/80]], and flat of a subminor third [[7/6]] by a sensamagic comma [[245/243]].

	It is also flat of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[~~Canovian~~ chord]] ~~and provides the function of~~ a ~~voice leading~~ up to the minor third. The [[Canou family\|canou temperament]] targets this progression and uses it as one of the generators.		Notice it is also flat of the just minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[sensamagic dominant chord]] where it functions as a dissonance yet to be resolved up to the minor third. The [[Canou family\|canou temperament]] targets this progression and uses it as one of the generators.

	It is so perfectly approximated by [[19edo]] (4\19), with an error of 0.05 cents, and hence equally well done by the [[enneadecal]] temperament.		== Approximation ==
			It is perfectly approximated by [[19edo]] (4\19), with an error of 0.05 cents, and hence equally well done by the [[enneadecal]] temperament.

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

FloraC: +category

2021-11-16T17:05:08Z

+category

← Older revision		Revision as of 17:05, 16 November 2021
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	\| Sound = Ji-81-70-csound-foscil-220hz.mp3		\| Sound = Ji-81-70-csound-foscil-220hz.mp3
	}}		}}
	'''81/70''', the '''septimal ultramajor second''' is a [[7-limit]] [[interseptimal]] ratio of about 253 ~~cents~~. It is sharp of a major second [[9/8]] by a septimal quartertone [[36/35]], sharp of a supermajor second [[8/7]] by a syntonic comma [[81/80]], and flat of a subminor third [[7/6]] by a sensamagic comma [[245/243]].		'''81/70''', the '''septimal ultramajor second''' is a [[7-limit]] [[interseptimal]] ratio of about 253 [[cent]]s. It is sharp of a major second [[9/8]] by a septimal quartertone [[36/35]], sharp of a supermajor second [[8/7]] by a syntonic comma [[81/80]], and flat of a subminor third [[7/6]] by a sensamagic comma [[245/243]].

	It is also flat of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third. The [[Canou family\|canou temperament]] targets this progression and uses it as one of the generators.		It is also flat of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third. The [[Canou family\|canou temperament]] targets this progression and uses it as one of the generators.
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	[[Category:Interseptimal]]		[[Category:Interseptimal]]
	[[Category:Semifourth]]		[[Category:Semifourth]]
			[[Category:Pages with internal sound examples]]

FloraC: Consolidate interval name

2021-11-16T17:03:38Z

Consolidate interval name

← Older revision		Revision as of 17:03, 16 November 2021
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	\| Monzo = -1 4 -1 -1		\| Monzo = -1 4 -1 -1
	\| Cents = 252.6804		\| Cents = 252.6804
	\| Name = ~~septimal semiaugmented second, <br>~~septimal ultramajor second		\| Name = septimal ultramajor second
	\| Color name = rg2, rugu 2nd		\| Color name = rg2, rugu 2nd
	\| FJS name = M2<sub>35</sub>		\| FJS name = M2<sub>35</sub>
	\| Sound = Ji-81-70-csound-foscil-220hz.mp3		\| Sound = Ji-81-70-csound-foscil-220hz.mp3
	}}		}}
			'''81/70''', the '''septimal ultramajor second''' is a [[7-limit]] [[interseptimal]] ratio of about 253 cents. It is sharp of a major second [[9/8]] by a septimal quartertone [[36/35]], sharp of a supermajor second [[8/7]] by a syntonic comma [[81/80]], and flat of a subminor third [[7/6]] by a sensamagic comma [[245/243]].
	'''81/70''', the ~~'''septimal semiaugmented second''' or~~ '''septimal ultramajor second''' is a [[7-limit]] [[interseptimal]] ratio of about 253 cents. It is sharp of a major second [[9/8]] by a septimal quartertone [[36/35]], sharp of a supermajor second [[8/7]] by a syntonic comma [[81/80]], and flat of a subminor third [[7/6]] by a sensamagic comma [[245/243]].

	It is also flat of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third. The [[Canou family\|canou temperament]] targets this progression and uses it as one of the generators.		It is also flat of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third. The [[Canou family\|canou temperament]] targets this progression and uses it as one of the generators.
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	[[Category:Supermajor second]]		[[Category:Supermajor second]]
	[[Category:Interseptimal]]		[[Category:Interseptimal]]
			[[Category:Semifourth]]

FloraC: Mention of enneadecal (and replace of old description)

2021-01-05T05:36:19Z

Mention of enneadecal (and replace of old description)

← Older revision		Revision as of 05:36, 5 January 2021
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	It is also flat of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third. The [[Canou family\|canou temperament]] targets this progression and uses it as one of the generators.		It is also flat of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third. The [[Canou family\|canou temperament]] targets this progression and uses it as one of the generators.

	~~The interval~~ is so perfectly approximated by [[19edo]], with an error of 0.05 cents~~. There are a number of edos that do this~~ equally well~~, [[171edo]] to name one. The first edo that does this better than 19edo with patent val is~~ [[~~660edo~~]].		It is so perfectly approximated by [[19edo]] (4\19), with an error of 0.05 cents, and hence equally well done by the [[enneadecal]] temperament.

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

	* [[140/81]] – its [[octave complement]]		* [[140/81]] – its [[octave complement]]
	* [[35/27]] – its [[fifth complement]]		* [[35/27]] – its [[fifth complement]]

FloraC: Category

2020-10-02T08:53:46Z

← Older revision		Revision as of 08:53, 2 October 2020
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	[[Category:Ratio]]		[[Category:Ratio]]
	[[Category:Second]]		[[Category:Second]]
	[[Category:~~Whole tone~~]]		[[Category:Supermajor second]]
	[[Category:Interseptimal]]		[[Category:Interseptimal]]