Sqrt(2/1) - Revision history

Lériendil: Undo revision 210267 by VectorGraphics (talk)

2025-09-20T09:39:24Z

Undo revision 210267 by VectorGraphics (talk)

← Older revision		Revision as of 09:39, 20 September 2025
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	{{Infobox interval		{{Infobox interval
	\| Name = semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth~~, perfect median~~		\| Name = semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth
	\| Ratio =\sqrt{2}		\| Ratio =\sqrt{2}
	\| Cents = 600		\| Cents = 600
	}}		}}
	'''sqrt(2/1)''', the '''semioctave~~''' or '''perfect median~~''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside [[sqrt(3/2)]].		'''sqrt(2/1)''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside [[sqrt(3/2)]].

	== In temperaments ==		== In temperaments ==
	Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave; among the most common to be merged this way are [[7/5]] and [[10/7]] (which differ by [[50/49]]), [[17/12]] and [[24/17]] (which differ by [[289/288]]), and [[99/70]] and [[140/99]] (which differ by [[9801/9800]]). The semioctave appears in every even equal temperament.		Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave; among the most common to be merged this way are [[7/5]] and [[10/7]] (which differ by [[50/49]]), [[17/12]] and [[24/17]] (which differ by [[289/288]]), and [[99/70]] and [[140/99]] (which differ by [[9801/9800]]). The semioctave appears in every even equal temperament.

	~~== Name ==~~
	~~"Semioctave" corresponds to its construction as the logarithmic division of an octave into 2. "Median" is a term for a tritone as a distinct interval degree borrowed from [[Leriendil]]'s parlance.~~

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

VectorGraphics at 02:11, 20 September 2025

2025-09-20T02:11:45Z

← Older revision		Revision as of 02:11, 20 September 2025
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	{{Infobox interval		{{Infobox interval
	\| Name = semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth		\| Name = semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth, perfect median
	\| Ratio =\sqrt{2}		\| Ratio =\sqrt{2}
	\| Cents = 600		\| Cents = 600
	}}		}}
	'''sqrt(2/1)''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside [[sqrt(3/2)]].		'''sqrt(2/1)''', the '''semioctave''' or '''perfect median''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside [[sqrt(3/2)]].

	== In temperaments ==		== In temperaments ==
	Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave; among the most common to be merged this way are [[7/5]] and [[10/7]] (which differ by [[50/49]]), [[17/12]] and [[24/17]] (which differ by [[289/288]]), and [[99/70]] and [[140/99]] (which differ by [[9801/9800]]). The semioctave appears in every even equal temperament.		Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave; among the most common to be merged this way are [[7/5]] and [[10/7]] (which differ by [[50/49]]), [[17/12]] and [[24/17]] (which differ by [[289/288]]), and [[99/70]] and [[140/99]] (which differ by [[9801/9800]]). The semioctave appears in every even equal temperament.

			== Name ==
			"Semioctave" corresponds to its construction as the logarithmic division of an octave into 2. "Median" is a term for a tritone as a distinct interval degree borrowed from [[Leriendil]]'s parlance.

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

Lucius Chiaraviglio: /* See also */ Add ritone#Tritones_as_approximations_of_the_semioctav

2025-07-18T08:49:54Z

See also: Add ritone#Tritones_as_approximations_of_the_semioctav

← Older revision		Revision as of 08:49, 18 July 2025
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	== See also ==		== See also ==
	* [[2edo]]		* [[2edo]]
			* [[Tritone#Tritones_as_approximations_of_the_semioctave\|Tritones as approximations of the semioctave]]

	[[Category:2edo]]		[[Category:2edo]]

FloraC: Cleanup. -Wikipedia box (This article isn't about the number)

2025-04-03T17:27:41Z

Cleanup. -Wikipedia box (This article isn't about the number)

← Older revision		Revision as of 17:27, 3 April 2025
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	{{Infobox interval\|Name=semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth\|Ratio=\sqrt{2}\|Cents=600}}		{{Infobox interval
	~~{{Wikipedia\|Square root of 2~~}}		\| Name = semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth
			\| Ratio =\sqrt{2}
	'''√2/1''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside ~~'''~~[[√(3/2)]].~~'''~~		\| Cents = 600
			}}
			'''sqrt(2/1)''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside [[sqrt(3/2)]].

	== In temperaments ==		== In temperaments ==

FloraC: FloraC moved page √2/1 to Sqrt(2/1): It's fine to write out the name of the function!

2025-04-03T17:26:12Z

FloraC moved page √2/1 to Sqrt(2/1): It's fine to write out the name of the function!

← Older revision	Revision as of 17:26, 3 April 2025
(No difference)

Zhenlige: supplement

2025-03-27T09:49:29Z

supplement

← Older revision		Revision as of 09:49, 27 March 2025
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	{{Infobox interval\|Name=semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth\|Ratio=\sqrt{2}\|Cents=600}}		{{Infobox interval\|Name=semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth\|Ratio=\sqrt{2}\|Cents=600}}
			{{Wikipedia\|Square root of 2}}

	'''√2/1''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside '''[[√(3/2)]].'''		'''√2/1''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside '''[[√(3/2)]].'''

Lériendil: added intervals

2025-03-26T02:27:31Z

added intervals

← Older revision		Revision as of 02:27, 26 March 2025
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	== In temperaments ==		== In temperaments ==
	Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave. The semioctave appears in every even equal temperament.		Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave; among the most common to be merged this way are [[7/5]] and [[10/7]] (which differ by [[50/49]]), [[17/12]] and [[24/17]] (which differ by [[289/288]]), and [[99/70]] and [[140/99]] (which differ by [[9801/9800]]). The semioctave appears in every even equal temperament.

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

Lériendil at 02:22, 26 March 2025

2025-03-26T02:22:25Z

← Older revision		Revision as of 02:22, 26 March 2025
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	== See also ==		== See also ==
	* [[2edo]]		* [[2edo]]

			[[Category:2edo]]

Lériendil at 02:20, 26 March 2025

2025-03-26T02:20:55Z

← Older revision		Revision as of 02:20, 26 March 2025
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	== In temperaments ==		== In temperaments ==
	Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave. The semioctave appears in every even equal temperament.		Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave. The semioctave appears in every even equal temperament.

			== See also ==
			* [[2edo]]

VectorGraphics at 00:53, 26 March 2025

2025-03-26T00:53:47Z

← Older revision		Revision as of 00:53, 26 March 2025
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	{{Infobox interval\|Name=semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth\|Ratio=\sqrt{2}\|Cents=600}}		{{Infobox interval\|Name=semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth\|Ratio=\sqrt{2}\|Cents=600}}

	'''√2/1''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside '''[[√3/2]].'''		'''√2/1''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside '''[[√(3/2)]].'''

	== In temperaments ==		== In temperaments ==
	Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave. The semioctave appears in every even equal temperament.		Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave. The semioctave appears in every even equal temperament.