128/121 - Revision history

BudjarnLambeth at 20:39, 6 November 2024

2024-11-06T20:39:02Z

← Older revision		Revision as of 20:39, 6 November 2024
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	[[Category:Semitone]]		[[Category:Semitone]]
	[[Category:Alpharabian]]		[[Category:Alpharabian]]
			[[Category:Commas named after polymaths]]
	[[Category:Commas named after their interval size]]		[[Category:Commas named after their interval size]]

BudjarnLambeth at 06:58, 3 November 2024

2024-11-03T06:58:09Z

← Older revision		Revision as of 06:58, 3 November 2024
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	[[Category:Semitone]]		[[Category:Semitone]]
	[[Category:Alpharabian]]		[[Category:Alpharabian]]
			[[Category:Commas named after their interval size]]

ArrowHead294 at 14:27, 29 March 2024

2024-03-29T14:27:28Z

← Older revision		Revision as of 14:27, 29 March 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''128/121''', the '''Axirabian limma''', otherwise known as the '''Axirabian artomean minor second''', the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. It acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. ~~Despite being nearly the size of a~~ [[12edo]] ~~semitone~~, it is tempered out in 12edo~~, which~~ maps ~~both~~ [[11/8]] ~~and~~ [[16/11]] to ~~the half octave period in its patent val~~.		'''128/121''', the '''Axirabian limma''', otherwise known as the '''Axirabian artomean minor second''', the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. It acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning.

			In [[12edo]], it is tempered out despite being almost as large as an entire standard semitone, since 12edo's patent val maps [[11/8]] to the 600{{cent}} tritone, which results in [[16/11]] also getting mapped to 600{{cent}}.

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

BudjarnLambeth: | Comma = yes

2024-01-20T07:22:16Z

| Comma = yes

← Older revision		Revision as of 07:22, 20 January 2024
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	\| Color name = 1uu2, lulu 2nd		\| Color name = 1uu2, lulu 2nd
	\| Sound = Ji-128-121-csound-foscil-220hz.mp3		\| Sound = Ji-128-121-csound-foscil-220hz.mp3
			\| Comma = yes
	}}		}}
	'''128/121''', the '''Axirabian limma''', otherwise known as the '''Axirabian artomean minor second''', the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. It acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val.		'''128/121''', the '''Axirabian limma''', otherwise known as the '''Axirabian artomean minor second''', the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. It acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val.

Aura at 14:49, 22 June 2023

2023-06-22T14:49:53Z

← Older revision		Revision as of 14:49, 22 June 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Axirabian limma, Axirabian diatonic semitone, octave-reduced 121st subharmonic		\| Name = Axirabian limma, Axirabian artomean minor second, Axirabian diatonic semitone, octave-reduced 121st subharmonic
	\| Color name = 1uu2, lulu 2nd		\| Color name = 1uu2, lulu 2nd
	\| Sound = Ji-128-121-csound-foscil-220hz.mp3		\| Sound = Ji-128-121-csound-foscil-220hz.mp3
	}}		}}
	'''128/121''', the '''Axirabian limma''', otherwise known as ~~both~~ the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. It acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val.		'''128/121''', the '''Axirabian limma''', otherwise known as the '''Axirabian artomean minor second''', the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. It acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val.

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

Aura at 17:39, 3 June 2023

2023-06-03T17:39:39Z

← Older revision		Revision as of 17:39, 3 June 2023
Line 4:		Line 4:
	\| Sound = Ji-128-121-csound-foscil-220hz.mp3		\| Sound = Ji-128-121-csound-foscil-220hz.mp3
	}}		}}
	'''128/121''', the '''Axirabian limma''', otherwise known as both the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. ~~As the name "Axirabian diatonic semitone" suggests, it~~ acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val.		'''128/121''', the '''Axirabian limma''', otherwise known as both the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. It acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val.

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

Aura at 17:39, 3 June 2023

2023-06-03T17:39:07Z

← Older revision		Revision as of 17:39, 3 June 2023
Line 4:		Line 4:
	\| Sound = Ji-128-121-csound-foscil-220hz.mp3		\| Sound = Ji-128-121-csound-foscil-220hz.mp3
	}}		}}
	'''128/121''', the '''Axirabian limma''', otherwise known as both the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. As the name "~~Alpharabian~~ diatonic semitone" suggests, it acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val.		'''128/121''', the '''Axirabian limma''', otherwise known as both the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. As the name "Axirabian diatonic semitone" suggests, it acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val.

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

TallKite: added color name

2022-12-04T01:36:43Z

added color name

← Older revision		Revision as of 01:36, 4 December 2022
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = Axirabian limma, Axirabian diatonic semitone, octave-reduced 121st subharmonic		\| Name = Axirabian limma, Axirabian diatonic semitone, octave-reduced 121st subharmonic
			\| Color name = 1uu2, lulu 2nd
	\| Sound = Ji-128-121-csound-foscil-220hz.mp3		\| Sound = Ji-128-121-csound-foscil-220hz.mp3
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:06:29Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:06, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 128/121~~		\| Name = Axirabian limma, Axirabian diatonic semitone, octave-reduced 121st subharmonic
	~~\| Monzo = 7 0 0 0 -2~~
	~~\| Cents = 97.36412~~
	\| Name = Axirabian limma, ~~<br>~~ Axirabian diatonic semitone, ~~<br>~~ octave-reduced 121st subharmonic
	~~\| Color name =~~
	~~\| FJS name = M2<sub>121</sub>~~
	\| Sound = Ji-128-121-csound-foscil-220hz.mp3		\| Sound = Ji-128-121-csound-foscil-220hz.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:11-limit]]~~
	[[Category:Semitone]]		[[Category:Semitone]]
	~~[[Category:Octave-reduced subharmonics]]~~
	[[Category:Alpharabian]]		[[Category:Alpharabian]]

	~~{{todo\|add color name\|expand}}~~

Aura at 15:14, 6 July 2022

2022-07-06T15:14:28Z

← Older revision		Revision as of 15:14, 6 July 2022
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	== See also ==		== See also ==
	* [[121/64]] – its [[octave complement]]		* [[121/64]] – its [[octave complement]]
			* [[Gallery of just intervals]]

	[[Category:11-limit]]		[[Category:11-limit]]