27/25 - Revision history

Hotcrystal0: octave complement

2025-12-26T15:51:21Z

octave complement

← Older revision		Revision as of 15:51, 26 December 2025
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	{{Interval edo approximation\|27/25}}		{{Interval edo approximation\|27/25}}
	== See also ==		== See also ==
			* [[50/27]] – its [[octave complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Large comma]]		* [[Large comma]]

FloraC: Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

2025-11-03T13:11:39Z

Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

← Older revision		Revision as of 13:11, 3 November 2025
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	'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80\|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments.		'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80\|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments.
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 27/25}}		{{Interval edo approximation\|27/25}}
	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Pailiaq at 06:45, 3 November 2025

2025-11-03T06:45:15Z

← Older revision		Revision as of 06:45, 3 November 2025
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	'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80\|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments.		'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80\|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments.
			== Approximation ==
			{{Interval_Edo_Approximation \| 27/25}}
	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Sintel: remove unnecessary comment about 432Hz and 50hz

2025-04-02T23:48:22Z

remove unnecessary comment about 432Hz and 50hz

← Older revision		Revision as of 23:48, 2 April 2025
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	}}		}}

	'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80\|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments		'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80\|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments.
	~~Coincidentally, 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively~~.

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

BudjarnLambeth at 06:24, 3 November 2024

2024-11-03T06:24:13Z

← Older revision		Revision as of 06:24, 3 November 2024
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	[[Category:Neutral second]]		[[Category:Neutral second]]
	[[Category:Supraminor second]]		[[Category:Supraminor second]]
			[[Category:Commas named after their interval size]]

CompactStar at 09:21, 7 February 2024

2024-02-07T09:21:41Z

← Older revision		Revision as of 09:21, 7 February 2024
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	}}		}}

	'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80\|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]]. ~~Ennealimal~~ is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments		'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80\|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]]. Ennealimmal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments
	Coincidentally, 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.		Coincidentally, 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.

CompactStar: Cleanup

2024-02-07T09:21:31Z

Cleanup

← Older revision		Revision as of 09:21, 7 February 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = large limma		\| Name = large limma, acute minor second
	\| Color name = gg2, gugu 2nd		\| Color name = gg2, gugu 2nd
	\| Sound = jid_27_25_pluck_adu_dr220.mp3		\| Sound = jid_27_25_pluck_adu_dr220.mp3
Line 6:		Line 6:
	}}		}}

	'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s, has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = 4375/4374. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments~~, rather than the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]] which tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to.~~		'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent]]s is a large semitone interval which is a [[81/80\|syntonic comma]] above the 5-limit minor second [[16/15]], or 2 syntonic commas above the Pythagorean minor second [[256/243]]. It has the remarkable property of almost exactly equaling a single step of [[9edo]], a step of which is 133 1/3 cents. Hence, nine large limmas fall just short of an octave by the [[ennealimma]] which is {{monzo\| 1 -27 18 }}, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6\|subminor third]], since (7/6)/(27/25)<sup>2</sup> = [[4375/4374]]. Tempering out both the ennealimma and [[4375/4374]], the ragisma, leads to the [[Ragismic microtemperaments #Ennealimmal\|ennealimmal temperament]]. Ennealimal is an extremely accurate temperament, while still being of a somewhat manageable complexity. Turning from microtempering to exotempering, 27/25 can be [[tempering out\|tempered out]], leading to the [[bug family]] of temperaments

	Coincidentally, 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.		Coincidentally, 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.

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	[[Category:9edo]]		[[Category:9edo]]
	[[Category:Bug]]		[[Category:Bug]]
			[[Category:Neutral second]]
			[[Category:Supraminor second]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:42:12Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:42, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 27/25~~
	~~\| Monzo = 0 3 -2~~
	~~\| Cents = 133.23757~~
	\| Name = large limma		\| Name = large limma
	\| Color name = gg2, gugu 2nd		\| Color name = gg2, gugu 2nd
	~~\| FJS name = m2<sub>25</sub>~~
	\| Sound = jid_27_25_pluck_adu_dr220.mp3		\| Sound = jid_27_25_pluck_adu_dr220.mp3
			\| Comma = yes
	}}		}}

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	* [[Large comma]]		* [[Large comma]]

	~~[[Category:5-limit]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Semitone]]		[[Category:Semitone]]
	[[Category:Limma]]		[[Category:Limma]]
	~~[[Category:Large commas]]~~
	[[Category:9edo]]		[[Category:9edo]]
	[[Category:Bug]]		[[Category:Bug]]

Fredg999 category edits: Moving from Category:Large comma to Category:Large commas using Cat-a-lot

2022-03-20T21:45:11Z

Moving from Category:Large comma to Category:Large commas using Cat-a-lot

← Older revision		Revision as of 21:45, 20 March 2022
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	[[Category:Semitone]]		[[Category:Semitone]]
	[[Category:Limma]]		[[Category:Limma]]
	[[Category:Large ~~comma~~]]		[[Category:Large commas]]
	[[Category:9edo]]		[[Category:9edo]]
	[[Category:Bug]]		[[Category:Bug]]

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

2022-02-22T23:46:45Z

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

← Older revision		Revision as of 23:46, 22 February 2022
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	[[Category:9edo]]		[[Category:9edo]]
	[[Category:Bug]]		[[Category:Bug]]
	~~[[Category:Pages with internal sound examples]]~~