20/19 - Revision history

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

2025-11-03T13:07:39Z

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

← Older revision		Revision as of 13:07, 3 November 2025
Line 12:		Line 12:
	It is very close to 2 steps out of [[27edo]], or 88.8889{{cent}}.		It is very close to 2 steps out of [[27edo]], or 88.8889{{cent}}.
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 20/19}}		{{Interval edo approximation\|20/19}}

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

Pailiaq at 06:38, 3 November 2025

2025-11-03T06:38:13Z

← Older revision		Revision as of 06:38, 3 November 2025
Line 11:		Line 11:

	It is very close to 2 steps out of [[27edo]], or 88.8889{{cent}}.		It is very close to 2 steps out of [[27edo]], or 88.8889{{cent}}.
			== Approximation ==
			{{Interval_Edo_Approximation \| 20/19}}

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

BudjarnLambeth at 02:01, 4 November 2024

2024-11-04T02:01:00Z

← Older revision		Revision as of 02:01, 4 November 2024
Line 22:		Line 22:
	[[Category:Chroma]]		[[Category:Chroma]]
	[[Category:Eratosthenes]]		[[Category:Eratosthenes]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after polymaths]]
	[[Category:Commas named after their interval size]]		[[Category:Commas named after their interval size]]

BudjarnLambeth at 07:11, 3 November 2024

2024-11-03T07:11:28Z

← Older revision		Revision as of 07:11, 3 November 2024
Line 22:		Line 22:
	[[Category:Chroma]]		[[Category:Chroma]]
	[[Category:Eratosthenes]]		[[Category:Eratosthenes]]
			[[Category:Commas named after individuals]]
			[[Category:Commas named after their interval size]]

BudjarnLambeth: | Comma = yes

2023-07-06T01:39:20Z

| Comma = yes

← Older revision		Revision as of 01:39, 6 July 2023
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone		\| Name = small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
			\| Comma = yes
	\| Color name = 19uy1, nuyo unison		\| Color name = 19uy1, nuyo unison
	\| Sound = Ji-20-19-csound-foscil-220hz.mp3		\| Sound = Ji-20-19-csound-foscil-220hz.mp3

Plumtree at 12:36, 25 October 2022

2022-10-25T12:36:21Z

← Older revision		Revision as of 12:36, 25 October 2022
Line 3:		Line 3:
	\| Color name = 19uy1, nuyo unison		\| Color name = 19uy1, nuyo unison
	\| Sound = Ji-20-19-csound-foscil-220hz.mp3		\| Sound = Ji-20-19-csound-foscil-220hz.mp3
	~~\| Comma = yes~~
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:35:57Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:35, 25 October 2022
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 20/19~~		\| Name = small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
	~~\| Monzo = 2 0 1 0 0 0 0 -1~~
	~~\| Cents = 88.80070~~
	\| Name = small undevicesimal semitone ~~<br>~~undevicesimal chroma ~~<br>~~Eratosthenes' semitone
	\| Color name = 19uy1, nuyo unison		\| Color name = 19uy1, nuyo unison
	~~\| FJS name = A1<sup>5</sup><sub>19</sub>~~
	\| Sound = Ji-20-19-csound-foscil-220hz.mp3		\| Sound = Ji-20-19-csound-foscil-220hz.mp3
			\| Comma = yes
	}}		}}

Line 22:		Line 19:
	* [[88cET]]		* [[88cET]]

	~~[[Category:19-limit]]~~
	[[Category:Semitone]]		[[Category:Semitone]]
	[[Category:Chroma]]		[[Category:Chroma]]
	~~[[Category:Superparticular]]~~
	[[Category:Eratosthenes]]		[[Category:Eratosthenes]]

Fredg999: Misc. edits, categories

2022-03-21T14:35:53Z

Misc. edits, categories

← Older revision		Revision as of 14:35, 21 March 2022
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 20/19		\| Ratio = 20/19
	\| Monzo = 2 0 1 0 0 0 0 -1		\| Monzo = 2 0 1 0 0 0 0 -1
Line 10:		Line 9:
	}}		}}

	In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''' or '''Eratosthenes' semitone''', measuring about 88.8¢. It is flat of the [[256/243\|Pythagorean limma (256/243)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.		In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''' or '''Eratosthenes' semitone''', measuring about 88.8{{cent}}. It is flat of the [[256/243\|Pythagorean limma (256/243)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.

	It is almost exactly 1/3 of a subminor third of [[7/6]]. The small comma (7/6)/(20/19)<sup>3</sup> = 48013/48000 is tempered out in {{EDOs\| 12, 41, 53, 68, 80, 94, 121, 161, 190, 202, 217, 229, 243, 270, 282, 311, 323, 364, 460, 472, 513, 525, 540, 581, 742, 783, 795, 1012, 1053, 1106, 1308, 1323, 1578, 1848, 1889, and 2320 EDOs}}, leading to a variety of temperaments in which three semitones make up a subminor third.		It is almost exactly 1/3 of a subminor third of [[7/6]]. The small comma (7/6)/(20/19)<sup>3</sup> = 48013/48000 is tempered out in {{EDOs\| 12, 41, 53, 68, 80, 94, 121, 161, 190, 202, 217, 229, 243, 270, 282, 311, 323, 364, 460, 472, 513, 525, 540, 581, 742, 783, 795, 1012, 1053, 1106, 1308, 1323, 1578, 1848, 1889, and 2320 EDOs}}, leading to a variety of temperaments in which three semitones make up a subminor third.

	It is very close to 2 steps out of [[27edo]], or 88.8889 ~~cents~~.		It is very close to 2 steps out of [[27edo]], or 88.8889{{cent}}.

	== See also ==		== See also ==
Line 24:		Line 23:

	[[Category:19-limit]]		[[Category:19-limit]]
	~~[[Category:Interval ratio]]~~
	[[Category:Semitone]]		[[Category:Semitone]]
	[[Category:Chroma]]		[[Category:Chroma]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
	[[Category:Eratosthenes]]		[[Category:Eratosthenes]]

Fredg999 category edits: Removing from Category:Listen using Cat-a-lot

2022-02-22T23:51:30Z

Removing from Category:Listen using Cat-a-lot

← Older revision		Revision as of 23:51, 22 February 2022
Line 29:		Line 29:
	[[Category:Superparticular]]		[[Category:Superparticular]]
	[[Category:Eratosthenes]]		[[Category:Eratosthenes]]
	~~[[Category:Listen]]~~

FloraC: Cleanup since we've had a page for 1216/1215; rename by analogy of similar intervals

2021-02-06T07:02:29Z

Cleanup since we've had a page for 1216/1215; rename by analogy of similar intervals

← Older revision		Revision as of 07:02, 6 February 2021
Line 4:		Line 4:
	\| Monzo = 2 0 1 0 0 0 0 -1		\| Monzo = 2 0 1 0 0 0 0 -1
	\| Cents = 88.80070		\| Cents = 88.80070
	\| Name = small undevicesimal semitone <br>~~small~~ undevicesimal ~~limma~~ <br>~~undevicesimal augmented unison~~		\| Name = small undevicesimal semitone <br>undevicesimal chroma <br>Eratosthenes' semitone
	\| Color name = 19uy1, nuyo unison		\| Color name = 19uy1, nuyo unison
			\| FJS name = A1<sup>5</sup><sub>19</sub>
	\| Sound = Ji-20-19-csound-foscil-220hz.mp3		\| Sound = Ji-20-19-csound-foscil-220hz.mp3
	}}		}}

	In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''', measuring about 88.8¢ ~~(almost exactly 1/3 of a subminor third~~ of [[7/~~6]]~~)~~. Its [[octave complement~~]] is [[19/10]], the ~~"undevicesimal diminished octave". It is very close to 2 steps out of [[27edo]], or 88.8889 cents~~.		In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''' or '''Eratosthenes' semitone''', measuring about 88.8¢. It is flat of the [[256/243\|Pythagorean limma (256/243)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.

	The small comma (7/6)/(20/19)^3 = 48013/48000 is tempered out in {{EDOs\| 12, 41, 53, 68, 80, 94, 121, 161, 190, 202, 217, 229, 243, 270, 282, 311, 323, 364, 460, 472, 513, 525, 540, 581, 742, 783, 795, 1012, 1053, 1106, 1308, 1323, 1578, 1848, 1889, and 2320 EDOs}}, leading to a variety of temperaments in which three semitones make up a subminor third.		It is almost exactly 1/3 of a subminor third of [[7/6]]. The small comma (7/6)/(20/19)<sup>3</sup> = 48013/48000 is tempered out in {{EDOs\| 12, 41, 53, 68, 80, 94, 121, 161, 190, 202, 217, 229, 243, 270, 282, 311, 323, 364, 460, 472, 513, 525, 540, 581, 742, 783, 795, 1012, 1053, 1106, 1308, 1323, 1578, 1848, 1889, and 2320 EDOs}}, leading to a variety of temperaments in which three semitones make up a subminor third.

	~~The password comma, (256/243)/(20/19) = (19/18)/(135/128) = 1216/1215~~ is ~~tempered~~ out ~~in {{EDOs\| 12, 29, 41, 53, 65, 77, 87, 94, 99, 106, 111, 118, 130, 140, 152, 159, 183, 193, 205, 217, 270, 282, 311, 323, 364, 400, 422, 581, and 692 EDOs}}, leading to a variety~~ of ~~temperaments which identifies 20/19 with~~ [[~~256/243\|Pythagorean limma~~]] ~~and [[19/18]] with [[135/128\|major limma]] respectively~~.		It is very close to 2 steps out of [[27edo]], or 88.8889 cents.

	== See also ==		== See also ==
			* [[19/10]] – its [[octave complement]], the undevicesimal diminished octave
			* [[19/18]] – the large undevicesimal semitone
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[~~19/18]] - greater undevicesimal semitone~~		* [[List of superparticular intervals]]
	* [[21/20]]
	* [[88cET]]		* [[88cET]]

Line 25:		Line 26:
	[[Category:Interval ratio]]		[[Category:Interval ratio]]
	[[Category:Semitone]]		[[Category:Semitone]]
	[[Category:~~Second]]~~		[[Category:Chroma]]
	~~[[Category:Minor second~~]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
			[[Category:Eratosthenes]]
	[[Category:Listen]]		[[Category:Listen]]