135/128 - Revision history

TallKite: updated the comma color name

2026-04-29T04:12:49Z

updated the comma color name

← Older revision		Revision as of 04:12, 29 April 2026
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ptolemaic chromatic semitone, major limma, major chroma, mavila comma		\| Name = ptolemaic chromatic semitone, major limma, major chroma, mavila comma
	\| Color name = Ly1, layo unison,<br>~~Layobi comma~~		\| Color name = Ly1, layo unison,<br>LybM, layobima
	\| Sound = jid_135_128_pluck_adu_dr220.mp3		\| Sound = jid_135_128_pluck_adu_dr220.mp3
	\| Comma = yes		\| Comma = yes

Fitzgerald Lee: added interpretation

2025-10-22T02:17:16Z

added interpretation

← Older revision		Revision as of 02:17, 22 October 2025
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	== Temperaments ==		== Temperaments ==
	If 135/128 is treated as a comma to be [[tempering out\|tempered out]], it may be called the '''mavila comma'''. It represents the difference between three [[4/3\|perfect fourth]]s and a [[5/4\|just major third]] (plus an [[octave]]). Tempering it out results in the [[mavila]] temperament.		If 135/128 is treated as a comma to be [[tempering out\|tempered out]], it may be called the '''mavila comma'''. It represents the difference between three [[4/3\|perfect fourth]]s and a [[5/4\|just major third]] (plus an [[octave]]), or the difference between [[9/8]] and [[16/15]]. Tempering it out results in the [[mavila]] temperament.

	135/128 is very close to one step of [[13edo]], in fact being a {{w\|Continued fraction\|semiconvergent}}. [[Aluminium]] temperament realizes this through a regular temperament lens.		135/128 is very close to one step of [[13edo]], in fact being a {{w\|Continued fraction\|semiconvergent}}. [[Aluminium]] temperament realizes this through a regular temperament lens.

BudjarnLambeth: Change/remove expand/stub in accordance with XW:IntTodo

2025-01-03T07:26:50Z

Change/remove expand/stub in accordance with XW:IntTodo

← Older revision		Revision as of 07:26, 3 January 2025
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	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Commas named after musical traditions]]		[[Category:Commas named after musical traditions]]

	~~{{todo\|expand}}~~

BudjarnLambeth at 07:06, 3 November 2024

2024-11-03T07:06:22Z

← Older revision		Revision as of 07:06, 3 November 2024
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	[[Category:Mavila]]		[[Category:Mavila]]
	[[Category:Meantone]]		[[Category:Meantone]]
			[[Category:Commas named after musical traditions]]

	{{todo\|expand}}		{{todo\|expand}}

FloraC: Update following name change

2024-08-16T09:21:46Z

Update following name change

← Older revision		Revision as of 09:21, 16 August 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ptolemaic chromatic semitone, major limma, major chroma, ~~pelogic~~ comma		\| Name = ptolemaic chromatic semitone, major limma, major chroma, mavila comma
	\| Color name = Ly1, layo unison,<br>Layobi comma		\| Color name = Ly1, layo unison,<br>Layobi comma
	\| Sound = jid_135_128_pluck_adu_dr220.mp3		\| Sound = jid_135_128_pluck_adu_dr220.mp3
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	== Temperaments ==		== Temperaments ==
	If 135/128 is treated as a comma to be tempered out, it may be called the '''~~pelogic~~ comma'''. It represents the difference between three [[4/3\|perfect fourth]]s and a [[5/4\|just major third]] (plus an [[octave]]). Tempering it out results in [[mavila temperament]].		If 135/128 is treated as a comma to be [[tempering out\|tempered out]], it may be called the '''mavila comma'''. It represents the difference between three [[4/3\|perfect fourth]]s and a [[5/4\|just major third]] (plus an [[octave]]). Tempering it out results in the [[mavila]] temperament.

			135/128 is very close to one step of [[13edo]], in fact being a {{w\|Continued fraction\|semiconvergent}}. [[Aluminium]] temperament realizes this through a regular temperament lens.

	~~135/128 is very close to one step of [[13edo]], in fact being a [[Wikipedia:Continued_fraction\|semiconvergent]]. [[Aluminium]] temperament realizes this through a regular temperament lens.~~
	== See also ==		== See also ==
	* [[256/135]] – its [[octave complement]]		* [[256/135]] – its [[octave complement]]
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	[[Category:Semitone]]		[[Category:Semitone]]
	[[Category:Chroma]]		[[Category:Chroma]]
	[[Category:~~Pelogic~~]]		[[Category:Mavila]]
	[[Category:Meantone]]		[[Category:Meantone]]

	{{todo\|expand}}		{{todo\|expand}}

BudjarnLambeth: Added link to "1/7-comma meantone]]"

2023-11-17T09:40:55Z

Added link to "1/7-comma meantone]]"

← Older revision		Revision as of 09:40, 17 November 2023
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	}}		}}

	The [[5-limit]] interval '''135/128''', about 92.2 [[cent]]s in size, is called the '''ptolemaic chromatic semitone''', the '''major limma''' or the '''major chroma'''. It is a [[syntonic comma]] away from the Pythagorean chromatic semitone [[2187/2048]], and so is tuned justly in 1/7 comma meantone. Flattening by another syntonic comma reaches the even simpler [[25/24]]. In regular 5-limit diatonic systems, it is the chromatic semitone that compliments [[16/15]], as the two semitones add up to [[9/8]].		The [[5-limit]] interval '''135/128''', about 92.2 [[cent]]s in size, is called the '''ptolemaic chromatic semitone''', the '''major limma''' or the '''major chroma'''. It is a [[syntonic comma]] away from the Pythagorean chromatic semitone [[2187/2048]], and so is tuned justly in [[1/7-comma meantone]]. Flattening by another syntonic comma reaches the even simpler [[25/24]]. In regular 5-limit diatonic systems, it is the chromatic semitone that compliments [[16/15]], as the two semitones add up to [[9/8]].

	== Temperaments ==		== Temperaments ==

Aura at 09:11, 16 June 2023

2023-06-16T09:11:46Z

← Older revision		Revision as of 09:11, 16 June 2023
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	== See also ==		== See also ==
	* [[256/135]] – its [[octave complement]]		* [[256/135]] – its [[octave complement]]
	* [[Aluminium comma]] - the difference between 13 ~~stacks~~ of this interval and [[2/1]]		* [[Aluminium comma]] - the difference between a stack of 13 instances of this interval and [[2/1]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Medium comma]]		* [[Medium comma]]

Aura at 09:10, 16 June 2023

2023-06-16T09:10:35Z

← Older revision		Revision as of 09:10, 16 June 2023
Line 6:		Line 6:
	}}		}}

	The [[5-limit]] interval '''135/128''', about 92.2 [[cent]]s in size, is called the '''ptolemaic chromatic semitone''', '''major limma''' or '''major chroma'''. It is a [[syntonic comma]] away from the Pythagorean chromatic semitone [[2187/2048]], and so is tuned justly in 1/7 comma meantone. Flattening by another syntonic comma reaches the even simpler [[25/24]]. In regular 5-limit diatonic systems, it is the chromatic semitone that compliments [[16/15]], as the two semitones add up to [[9/8]].		The [[5-limit]] interval '''135/128''', about 92.2 [[cent]]s in size, is called the '''ptolemaic chromatic semitone''', the '''major limma''' or the '''major chroma'''. It is a [[syntonic comma]] away from the Pythagorean chromatic semitone [[2187/2048]], and so is tuned justly in 1/7 comma meantone. Flattening by another syntonic comma reaches the even simpler [[25/24]]. In regular 5-limit diatonic systems, it is the chromatic semitone that compliments [[16/15]], as the two semitones add up to [[9/8]].

	== Temperaments ==		== Temperaments ==

Eliora: it's not just close, it's a semiconvergent

2023-05-17T22:36:31Z

it's not just close, it's a semiconvergent

← Older revision		Revision as of 22:36, 17 May 2023
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	== Temperaments ==		== Temperaments ==
	If 135/128 is treated as a comma to be tempered out, it may be called the '''pelogic comma'''. It represents the difference between three [[4/3\|perfect fourth]]s and a [[5/4\|just major third]] (plus an [[octave]]). Tempering it out results in [[mavila temperament]].		If 135/128 is treated as a comma to be tempered out, it may be called the '''pelogic comma'''. It represents the difference between three [[4/3\|perfect fourth]]s and a [[5/4\|just major third]] (plus an [[octave]]). Tempering it out results in [[mavila temperament]].

			135/128 is very close to one step of [[13edo]], in fact being a [[Wikipedia:Continued_fraction\|semiconvergent]]. [[Aluminium]] temperament realizes this through a regular temperament lens.
	== See also ==		== See also ==
	* [[256/135]] – its [[octave complement]]		* [[256/135]] – its [[octave complement]]
			* [[Aluminium comma]] - the difference between 13 stacks of this interval and [[2/1]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Medium comma]]		* [[Medium comma]]

CompactStar at 23:17, 15 March 2023

2023-03-15T23:17:24Z

← Older revision		Revision as of 23:17, 15 March 2023
Line 9:		Line 9:

	== Temperaments ==		== Temperaments ==
	If 135/128 is treated as a comma to be tempered out, it may be called the '''pelogic comma'''. It represents the difference between three [[4/3\|perfect fourth]]s and a [[5/4\|just major third]] (plus an [[octave]]). Tempering it out results in [[mavila]] ~~temperament~~.		If 135/128 is treated as a comma to be tempered out, it may be called the '''pelogic comma'''. It represents the difference between three [[4/3\|perfect fourth]]s and a [[5/4\|just major third]] (plus an [[octave]]). Tempering it out results in [[mavila temperament]].
	== See also ==		== See also ==
	* [[256/135]] – its [[octave complement]]		* [[256/135]] – its [[octave complement]]