3025/3024 - Revision history

FloraC: Misc. cleanup

2024-11-05T11:29:41Z

Misc. cleanup

← Older revision		Revision as of 11:29, 5 November 2024
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[~~unnoticeable~~ comma]] measuring about 0.57{{cent}}. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.		'''3025/3024''', the '''lehmerisma''', is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] measuring about 0.57{{cent}}. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.

	It factors into two superparticular commas: ([[4375/4374]])([[9801/9800]]).		It factors into the two smallest superparticular commas in the 11-limit: 3025/3024 = ([[4375/4374]])([[9801/9800]]).

	== Temperaments ==		== Temperaments ==
	Tempering it out leads to the '''lehmerismic temperament''', which splits [[28/27]] into two equal parts, each representing 55/54~56/55. See [[Rank-4 temperament #Lehmerismic (3025/3024)]] for some technical details. See [[Lehmerismic temperaments]] for a collection of rank-3 temperaments where it is tempered out.		[[Tempering out]] this comma leads to the '''lehmerismic temperament''', which splits [[28/27]] into two equal parts, each representing 55/54~56/55. See [[Rank-4 temperament #Lehmerismic (3025/3024)]] for some technical details. See [[Lehmerismic temperaments]] for a collection of rank-3 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==

BudjarnLambeth at 02:05, 4 November 2024

2024-11-04T02:05:05Z

← Older revision		Revision as of 02:05, 4 November 2024
Line 27:		Line 27:

	[[Category:Lehmerismic]]		[[Category:Lehmerismic]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after mathematicians]]

BudjarnLambeth at 23:55, 3 November 2024

2024-11-03T23:55:04Z

← Older revision		Revision as of 23:55, 3 November 2024
Line 27:		Line 27:

	[[Category:Lehmerismic]]		[[Category:Lehmerismic]]
			[[Category:Commas named after individuals]]

FloraC: /* Etymology */ expand a bit and include a quote

2024-10-25T09:59:50Z

Etymology: expand a bit and include a quote

← Older revision		Revision as of 09:59, 25 October 2024
Line 12:		Line 12:

	== Etymology ==		== Etymology ==
	This comma was named by [[Gene Ward Smith]] in 2004 after the American mathematician [[wikipedia: D. H. Lehmer\|D. H. Lehmer]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10130.html Yahoo! Tuning Group \| ''Re: [tuning-math] Digest Number 1011'']</ref>.		This comma was named by [[Gene Ward Smith]] in 2004 after the American mathematician [[wikipedia: D. H. Lehmer\|D. H. Lehmer]].

			<blockquote>
			Or perhaps 3025/3024 is a better lehmerisma, as Lehmer mentions it on the first page of his paper. […] He was a wonderful gentlemen and a hell of a mathematician, and deserves
			a comma as much as anyone.
			</blockquote>

			—Gene Ward Smith<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10130.html Yahoo! Tuning Group \| ''Re: {{lbrack}}tuning-math{{rbrack}} Digest Number 1011'']</ref>

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

FloraC: +naming

2023-08-23T05:24:06Z

+naming

← Older revision		Revision as of 05:24, 23 August 2023
Line 6:		Line 6:
	'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57{{cent}}. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.		'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57{{cent}}. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.

	It factors into two superparticular commas: [[4375/4374]] × [[9801/9800]].		It factors into two superparticular commas: ([[4375/4374]])([[9801/9800]]).

	== Temperaments ==		== Temperaments ==
	Tempering it out leads to the '''lehmerismic temperament''', which splits [[28/27]] into two equal parts, each representing 55/54~56/55. See [[Rank-4 temperament #Lehmerismic (3025/3024)]] for some technical details.		Tempering it out leads to the '''lehmerismic temperament''', which splits [[28/27]] into two equal parts, each representing 55/54~56/55. See [[Rank-4 temperament #Lehmerismic (3025/3024)]] for some technical details. See [[Lehmerismic temperaments]] for a collection of rank-3 temperaments where it is tempered out.

			== Etymology ==
			This comma was named by [[Gene Ward Smith]] in 2004 after the American mathematician [[wikipedia: D. H. Lehmer\|D. H. Lehmer]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10130.html Yahoo! Tuning Group \| ''Re: [tuning-math] Digest Number 1011'']</ref>.

	== See also ==		== See also ==
	* [[Rank-4 temperament #Lehmerismic (3025/3024)]]
	* [[Lehmerismic temperaments]], a collection of rank-3 temperaments where it is tempered out
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

			== Notes ==

	[[Category:Lehmerismic]]		[[Category:Lehmerismic]]

TallKite: added color name

2022-12-04T01:13:20Z

added color name

← Older revision		Revision as of 01:13, 4 December 2022
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = lehmerisma		\| Name = lehmerisma
			\| Color name = 1ooryy-2, Loloruyoyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:55:20Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:55, 25 October 2022
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 3025/3024~~
	~~\| Monzo = -4 -3 2 -1 2~~
	~~\| Cents = 0.57249~~
	\| Name = lehmerisma		\| Name = lehmerisma
	\| ~~Color name =~~		\| Comma = yes
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}
	'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57{{cent}}. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.		'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57{{cent}}. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.
Line 20:		Line 15:
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	~~[[Category:11-limit]]~~
	~~[[Category:Unnoticeable commas]]~~
	~~[[Category:Superparticular]]~~
	[[Category:Lehmerismic]]		[[Category:Lehmerismic]]

Fredg999: Misc. edits, categories

2022-04-07T16:05:15Z

Misc. edits, categories

← Older revision		Revision as of 16:05, 7 April 2022
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 3025/3024		\| Ratio = 3025/3024
	\| Monzo = -4 -3 2 -1 2		\| Monzo = -4 -3 2 -1 2
Line 9:		Line 8:
	\| Sound =		\| Sound =
	}}		}}
			'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57{{cent}}. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.
	'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57 ~~cents~~. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.

	It factors into two superparticular commas: [[4375/4374]] × [[9801/9800]].		It factors into two superparticular commas: [[4375/4374]] × [[9801/9800]].
Line 20:		Line 18:
	* [[Rank-4 temperament #Lehmerismic (3025/3024)]]		* [[Rank-4 temperament #Lehmerismic (3025/3024)]]
	* [[Lehmerismic temperaments]], a collection of rank-3 temperaments where it is tempered out		* [[Lehmerismic temperaments]], a collection of rank-3 temperaments where it is tempered out
	* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Unnoticeable commas]]		[[Category:Unnoticeable commas]]
	~~[[Category:Ratio]]~~
	[[Category:Superparticular]]		[[Category:Superparticular]]
	[[Category:Lehmerismic]]		[[Category:Lehmerismic]]

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

2022-03-20T22:01:52Z

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

← Older revision		Revision as of 22:01, 20 March 2022
Line 24:		Line 24:

	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Unnoticeable ~~comma~~]]		[[Category:Unnoticeable commas]]
	[[Category:Ratio]]		[[Category:Ratio]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
	[[Category:Lehmerismic]]		[[Category:Lehmerismic]]

FloraC: It wasn't incorrect

2021-11-30T00:41:48Z

It wasn't incorrect

← Older revision		Revision as of 00:41, 30 November 2021
Line 10:		Line 10:
	}}		}}

	'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57 cents. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.		'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57 cents. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third.

	It factors into two superparticular commas: [[4375/4374]] × [[9801/9800]].		It factors into two superparticular commas: [[4375/4374]] × [[9801/9800]].