4375/4374 - Revision history

FloraC: Improve intro, sort similar things together and avoid the suggestion that its basic equivalence is somehow a "consequence"/"derivation" from the S-expression.

2026-03-25T16:28:56Z

Improve intro, sort similar things together and avoid the suggestion that its basic equivalence is somehow a "consequence"/"derivation" from the S-expression.

← Older revision		Revision as of 16:28, 25 March 2026
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	{{Wikipedia\|Ragisma}}		{{Wikipedia\|Ragisma}}

	'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] ~~which~~ is the ~~difference between~~ a stack of two [[27/25\|large limmas]] ~~and~~ [[7/6]], the difference between a stack of four [[10/9\|classical whole tones (10/9)]] and [[32/21]], and the difference between a stack of four [[6/5\|classical minor thirds (6/5)]] [[octave reduction\|octave-reduced]] and [[28/27]]. It is ~~the smallest 7-limit [[superparticular]] ratio. It is also~~ equal to the difference between a [[15625/15552\|kleisma]] ~~(S25<sup>2</sup> × S26)~~ and a [[marvel comma]] ~~(S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>~~.		'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] with a size of about 0.396 [[cent]]s. It is the smallest 7-limit [[superparticular]] ratio, being the amount by which a stack of two [[27/25\|large limmas]] falls short of [[7/6]], (7/6)/(27/25)<sup>2</sup>, as is conveniently codified by its [[S-expression]] of S25/S27. It is also the difference between a stack of four [[10/9\|classical whole tones (10/9)]] and [[32/21]], and the difference between a stack of four [[6/5\|classical minor thirds (6/5)]] [[octave reduction\|octave-reduced]] and [[28/27]]. In term of other commas, it is equal to the difference between a [[15625/15552\|kleisma]] and a [[marvel comma]].

	== Temperaments ==		== Temperaments ==
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	== ~~Notes~~ ==		== References ==

	[[Category:Ragismic]]		[[Category:Ragismic]]
	[[Category:Commas with unknown etymology]]		[[Category:Commas with unknown etymology]]
	[[Category:Commas named after musical traditions]]		[[Category:Commas named after musical traditions]]

Squib: fixed link to disambiguation page

2025-07-12T23:31:23Z

fixed link to disambiguation page

← Older revision		Revision as of 23:31, 12 July 2025
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	{{Wikipedia\|Ragisma}}		{{Wikipedia\|Ragisma}}

	'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] which is the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], the difference between a stack of four [[10/9\|classical whole tones (10/9)]] and [[32/21]], and the difference between a stack of four [[6/5\|classical minor thirds (6/5)]] [[octave reduction\|octave-reduced]] and [[28/27]]. It is the smallest 7-limit [[superparticular]] ratio. It is also equal to the difference between a [[kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.		'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] which is the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], the difference between a stack of four [[10/9\|classical whole tones (10/9)]] and [[32/21]], and the difference between a stack of four [[6/5\|classical minor thirds (6/5)]] [[octave reduction\|octave-reduced]] and [[28/27]]. It is the smallest 7-limit [[superparticular]] ratio. It is also equal to the difference between a [[15625/15552\|kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.

	== Temperaments ==		== Temperaments ==

FloraC: Tone

2025-04-16T14:22:55Z

Tone

← Older revision		Revision as of 14:22, 16 April 2025
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	== Etymology ==		== Etymology ==
	This comma was allegedly named by [[Erv Wilson]] no later than 2001<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_22165.html#22220 Yahoo! Tuning Group \| ''Re: What is a monzisma?'']</ref>. Interestingly, by 2004 people had already lost track of its origin and meaning<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10195.html#10202 Yahoo! Tuning Group \| ''Comma names'']</ref>. ~~Maybe~~ it ~~was~~ named after [[Indian]] ragas~~? (Pure speculation~~.)		This comma was allegedly named by [[Erv Wilson]] no later than 2001<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_22165.html#22220 Yahoo! Tuning Group \| ''Re: What is a monzisma?'']</ref>. Interestingly, by 2004 people had already lost track of its origin and meaning<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10195.html#10202 Yahoo! Tuning Group \| ''Comma names'']</ref>. It is speculated that it could have been named after [[Indian]] ragas.

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

FloraC: Why not exhausting the factors of 5 in the target interval? (10/9)^4 to 32/21 or (6/5)^4/2 to 28/27 are way more useful identities

2025-04-16T14:21:53Z

Why not exhausting the factors of 5 in the target interval? (10/9)^4 to 32/21 or (6/5)^4/2 to 28/27 are way more useful identities

← Older revision		Revision as of 14:21, 16 April 2025
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	{{Wikipedia\|Ragisma}}		{{Wikipedia\|Ragisma}}

	'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] which is the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], and the difference between a stack of 3 [[6/5\|classical minor thirds]] and [[~~140~~/81]]. It is the smallest 7-limit [[superparticular]] ratio. ~~4375/4374~~ is also equal to ~~([[25/18]])<sup>2</sup>/([[27/14]]) and~~ the difference between a [[kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.		'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] which is the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], the difference between a stack of four [[10/9\|classical whole tones (10/9)]] and [[32/21]], and the difference between a stack of four [[6/5\|classical minor thirds (6/5)]] [[octave reduction\|octave-reduced]] and [[28/27]]. It is the smallest 7-limit [[superparticular]] ratio. It is also equal to the difference between a [[kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.

	== Temperaments ==		== Temperaments ==

Fitzgerald Lee: Added another interpretation

2025-04-16T06:24:21Z

Added another interpretation

← Older revision		Revision as of 06:24, 16 April 2025
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	{{Wikipedia\|Ragisma}}		{{Wikipedia\|Ragisma}}

	'''4375/4374''', the '''ragisma''', ~~being~~ the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], ~~is an~~ [[~~unnoticeable comma~~\|~~unnoticeable~~]] [[~~7-limit]] [[comma~~]]. It is the smallest 7-limit [[superparticular]] ratio. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.		'''4375/4374''', the '''ragisma''', is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] which is the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], and the difference between a stack of 3 [[6/5\|classical minor thirds]] and [[140/81]]. It is the smallest 7-limit [[superparticular]] ratio. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.

	== Temperaments ==		== Temperaments ==

FloraC: Re-organize

2024-11-05T11:26:27Z

Re-organize

← Older revision		Revision as of 11:26, 5 November 2024
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	{{Wikipedia\|Ragisma}}		{{Wikipedia\|Ragisma}}

	'''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], is a [[7-limit]] [[~~unnoticeable~~ comma]]. It is the smallest 7-limit [[superparticular]] ratio~~. It is tempered out in [[ragismic microtemperaments]]~~. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.		'''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]]. It is the smallest 7-limit [[superparticular]] ratio. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.

			== Temperaments ==
			[[Tempering out]] this comma leads to the [[ragismic]] temperament, enabling [[ragismic chords]] in the [[27-odd-limit]]. See [[Ragismic family]] for the rank-3 family where it is tempered out. See [[Ragismic microtemperaments]] for a collection of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==
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	== See also ==		== See also ==
	* [[Ragismic chords]]
	* [[Ragismic family]] – the rank-3 family where it is tempered out
	* [[Ragismic microtemperaments]] – a collection of rank-2 temperaments where it is tempered out
	* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

BudjarnLambeth at 23:35, 3 November 2024

2024-11-03T23:35:05Z

← Older revision		Revision as of 23:35, 3 November 2024
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	== Etymology ==		== Etymology ==
	This comma was allegedly named by [[Erv Wilson]] no later than 2001<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_22165.html#22220 Yahoo! Tuning Group \| ''Re: What is a monzisma?'']</ref>. Interestingly, by 2004 people had already lost track of its origin and meaning<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10195.html#10202 Yahoo! Tuning Group \| ''Comma names'']</ref>.		This comma was allegedly named by [[Erv Wilson]] no later than 2001<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_22165.html#22220 Yahoo! Tuning Group \| ''Re: What is a monzisma?'']</ref>. Interestingly, by 2004 people had already lost track of its origin and meaning<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10195.html#10202 Yahoo! Tuning Group \| ''Comma names'']</ref>. Maybe it was named after [[Indian]] ragas? (Pure speculation.)

	== See also ==		== See also ==
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	[[Category:Ragismic]]		[[Category:Ragismic]]
			[[Category:Commas with unknown etymology]]
			[[Category:Commas named after musical traditions]]

FloraC: +naming history. You really need to know where to look for this dumb thing.

2024-10-23T11:46:00Z

+naming history. You really need to know where to look for this dumb thing.

← Older revision		Revision as of 11:46, 23 October 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
			{{Wikipedia\|Ragisma}}

	'''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], is a [[7-limit]] [[unnoticeable comma]]. It is the smallest 7-limit [[superparticular]] ratio. It is tempered out in [[ragismic microtemperaments]]. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> * S26) and a [[marvel comma]] (S15 = S25 * S26 * S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.		'''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], is a [[7-limit]] [[unnoticeable comma]]. It is the smallest 7-limit [[superparticular]] ratio. It is tempered out in [[ragismic microtemperaments]]. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> × S26) and a [[marvel comma]] (S15 = S25 × S26 × S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.

			== Etymology ==
			This comma was allegedly named by [[Erv Wilson]] no later than 2001<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_22165.html#22220 Yahoo! Tuning Group \| ''Re: What is a monzisma?'']</ref>. Interestingly, by 2004 people had already lost track of its origin and meaning<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10195.html#10202 Yahoo! Tuning Group \| ''Comma names'']</ref>.

	== See also ==		== See also ==
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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

			== Notes ==

	[[Category:Ragismic]]		[[Category:Ragismic]]

Xenllium at 09:58, 1 July 2023

2023-07-01T09:58:04Z

← Older revision		Revision as of 09:58, 1 July 2023
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	== See also ==		== See also ==
			* [[Ragismic chords]]
	* [[Ragismic family]] – the rank-3 family where it is tempered out		* [[Ragismic family]] – the rank-3 family where it is tempered out
	* [[Ragismic microtemperaments]] – a collection of rank-2 temperaments where it is tempered out		* [[Ragismic microtemperaments]] – a collection of rank-2 temperaments where it is tempered out

Godtone at 23:26, 3 April 2023

2023-04-03T23:26:26Z

← Older revision		Revision as of 23:26, 3 April 2023
Line 5:		Line 5:
	}}		}}

	'''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], is a [[7-limit]] [[unnoticeable comma]]. It is the smallest 7-limit [[superparticular]] ratio. It is tempered out in [[ragismic microtemperaments]]. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> * S26) and a [[marvel comma]] (S15 = S25 * S26 * S27), hence its expression as S25 / S27.		'''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25\|large limmas]] and [[7/6]], is a [[7-limit]] [[unnoticeable comma]]. It is the smallest 7-limit [[superparticular]] ratio. It is tempered out in [[ragismic microtemperaments]]. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> * S26) and a [[marvel comma]] (S15 = S25 * S26 * S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>.

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