19/17 - Revision history

Hotcrystal0: use octave complement instead

2026-01-27T16:35:47Z

use octave complement instead

← Older revision		Revision as of 16:35, 27 January 2026
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	== See also ==		== See also ==
	* [[15/14]] – its coordinated semi-meantone ((19/17)<sup>5</sup> × (15/14)<sup>2</sup> = (2/1) / ([[mercurial comma]]))		* [[15/14]] – its coordinated semi-meantone ((19/17)<sup>5</sup> × (15/14)<sup>2</sup> = (2/1) / ([[mercurial comma]]))
	* [[34/19]] – its [[~~inverse interval~~]]		* [[34/19]] – its [[octave complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

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

2025-11-03T13:07:37Z

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

← Older revision		Revision as of 13:07, 3 November 2025
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	19/17 is the [[mediant]] of 9/8 and 10/9: (9 + 10)/(8 + 9) = 19/17.		19/17 is the [[mediant]] of 9/8 and 10/9: (9 + 10)/(8 + 9) = 19/17.
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 19/17}}		{{Interval edo approximation\|19/17}}
	== See also ==		== See also ==
	* [[15/14]] – its coordinated semi-meantone ((19/17)<sup>5</sup> × (15/14)<sup>2</sup> = (2/1) / ([[mercurial comma]]))		* [[15/14]] – its coordinated semi-meantone ((19/17)<sup>5</sup> × (15/14)<sup>2</sup> = (2/1) / ([[mercurial comma]]))

Pailiaq at 06:54, 3 November 2025

2025-11-03T06:54:22Z

← Older revision		Revision as of 06:54, 3 November 2025
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	19/17 is the [[mediant]] of 9/8 and 10/9: (9 + 10)/(8 + 9) = 19/17.		19/17 is the [[mediant]] of 9/8 and 10/9: (9 + 10)/(8 + 9) = 19/17.
			== Approximation ==
			{{Interval_Edo_Approximation \| 19/17}}
	== See also ==		== See also ==
	* [[15/14]] – its coordinated semi-meantone ((19/17)<sup>5</sup> × (15/14)<sup>2</sup> = (2/1) / ([[mercurial comma]]))		* [[15/14]] – its coordinated semi-meantone ((19/17)<sup>5</sup> × (15/14)<sup>2</sup> = (2/1) / ([[mercurial comma]]))

BudjarnLambeth: Category

2024-11-30T23:06:07Z

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:58:15Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:58, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 19/17~~
	~~\| Monzo = 0 0 0 0 0 0 -1 1~~
	~~\| Cents = 192.55761~~
	\| Name = quasi-meantone		\| Name = quasi-meantone
	\| Color name = 19o17u2, nosu 2nd		\| Color name = 19o17u2, nosu 2nd
	~~\| FJS name = M2<sup>19</sup><sub>17</sub>~~
	\| Sound = jid_19_17_pluck_adu_dr220.mp3		\| Sound = jid_19_17_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:19-limit]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]
	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Mercurial]]		[[Category:Mercurial]]

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

2022-02-22T23:46:43Z

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:Meantone]]		[[Category:Meantone]]
	[[Category:Mercurial]]		[[Category:Mercurial]]
	~~[[Category:Pages with internal sound examples]]~~

Fredg999: Misc. edits

2021-12-15T03:50:50Z

Misc. edits

← Older revision		Revision as of 03:50, 15 December 2021
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	}}		}}

	'''19/17''' is a JI interval intermediate in size to [[9/8]] and [[10/9]], two common sizes of whole tone. In [[meantone]] systems, the two are conflated into one interval, for which 19/17 is often a good rational approximation, depending on the exact meantone tuning. It is a particularly good rational approximation to the whole tone of quarter comma meantone, as two of them fall short of a perfect [[5/4]] by [[1445/1444]], or 1.1985 cents. 19/17 is also very close to the size of the whole tone in golden meantone, being only about a tenth of a cent off.		'''19/17''' is a [[19-limit]] [[just intonation]] interval intermediate in size to [[9/8]] and [[10/9]], two common sizes of whole tone. In [[meantone]] systems, the two are conflated into one interval, for which 19/17 is often a good rational approximation, depending on the exact meantone tuning. It is a particularly good rational approximation to the whole tone of quarter comma meantone, as two of them fall short of a perfect [[5/4]] by [[1445/1444]], or 1.1985 cents. 19/17 is also very close to the size of the whole tone in golden meantone, being only about a tenth of a cent off.

	19/17 is the [[mediant]] of 9/8 and 10/9: (9 + 10)/(8 + 9) = 19/17.		19/17 is the [[mediant]] of 9/8 and 10/9: (9 + 10)/(8 + 9) = 19/17.

FloraC: Improve categories

2021-12-13T17:30:44Z

Improve categories

← Older revision		Revision as of 17:30, 13 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 19/17		\| Ratio = 19/17
	\| Monzo = 0 0 0 0 0 0 -1 1		\| Monzo = 0 0 0 0 0 0 -1 1
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	'''19/17''' is a JI interval intermediate in size to [[9/8]] and [[10/9]], two common sizes of whole tone. In [[meantone]] systems, the two are conflated into one interval, for which 19/17 is often a good rational approximation, depending on the exact meantone tuning. It is a particularly good rational approximation to the whole tone of quarter comma meantone, as two of them fall short of a perfect [[5/4]] by [[1445/1444]], or 1.1985 cents. 19/17 is also very close to the size of the whole tone in golden meantone, being only about a tenth of a cent off.		'''19/17''' is a JI interval intermediate in size to [[9/8]] and [[10/9]], two common sizes of whole tone. In [[meantone]] systems, the two are conflated into one interval, for which 19/17 is often a good rational approximation, depending on the exact meantone tuning. It is a particularly good rational approximation to the whole tone of quarter comma meantone, as two of them fall short of a perfect [[5/4]] by [[1445/1444]], or 1.1985 cents. 19/17 is also very close to the size of the whole tone in golden meantone, being only about a tenth of a cent off.

	19/17 is the [[mediant]] of 9/8 and 10/9: (9+10)/(8+9)=19/17.		19/17 is the [[mediant]] of 9/8 and 10/9: (9 + 10)/(8 + 9) = 19/17.

	== See also ==		== See also ==
			* [[15/14]] – its coordinated semi-meantone ((19/17)<sup>5</sup> × (15/14)<sup>2</sup> = (2/1) / ([[mercurial comma]]))
	* [[15/14]] – its coordinated semi-meantone ((19/17)^5 * (15/14)^2 = (2/1) / ([[mercurial comma]]))
	* [[34/19]] – its [[inverse interval]]		* [[34/19]] – its [[inverse interval]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	[[Category:19-limit]]		[[Category:19-limit]]
	~~[[Category:Interval ratio]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]
	~~[[Category:Just interval]]~~
	[[Category:Meantone]]		[[Category:Meantone]]
	~~[[Category:Listen]]~~
	[[Category:Mercurial]]		[[Category:Mercurial]]
			[[Category:Pages with internal sound examples]]
	[[Category:~~todo:expand~~]]

Mike Battaglia: Clarified some details about golden meantone

2021-12-13T17:16:33Z

Clarified some details about golden meantone

← Older revision		Revision as of 17:16, 13 December 2021
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	}}		}}

	'''19/17''' is ~~the~~ interval ~~between~~ [[9/8]] and [[10/9]], two common sizes of whole tone. In [[meantone]] systems, the two are conflated into one interval, which ~~converges increasingly closely to a perfect~~ 19/17 ~~in successive steps of~~ the ~~golden~~ meantone ~~sequence~~. ~~Two~~ of them fall short of a perfect [[5/4]] by [[1445/1444]], or 1.1985 cents.		'''19/17''' is a JI interval intermediate in size to [[9/8]] and [[10/9]], two common sizes of whole tone. In [[meantone]] systems, the two are conflated into one interval, for which 19/17 is often a good rational approximation, depending on the exact meantone tuning. It is a particularly good rational approximation to the whole tone of quarter comma meantone, as two of them fall short of a perfect [[5/4]] by [[1445/1444]], or 1.1985 cents. 19/17 is also very close to the size of the whole tone in golden meantone, being only about a tenth of a cent off.

	19/17 is the [[mediant]] of 9/8 and 10/9: (9+10)/(8+9)=19/17.		19/17 is the [[mediant]] of 9/8 and 10/9: (9+10)/(8+9)=19/17.

Xenwolf: +cat

2020-12-17T00:54:32Z

+cat

← Older revision		Revision as of 00:54, 17 December 2020
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	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Listen]]		[[Category:Listen]]
			[[Category:Mercurial]]

	[[Category:todo:expand]]		[[Category:todo:expand]]

← Older revision		Revision as of 23:06, 30 November 2024
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	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Mercurial]]		[[Category:Mercurial]]
			[[Category:Taxicab-2 intervals]]