169/168 - Revision history

Squib: add factorization into s15*s26

2026-01-11T17:40:37Z

add factorization into s15*s26

← Older revision		Revision as of 17:40, 11 January 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between the neutral seconds of [[13/12]] and [[14/13]] as well as between the neutral sixths of [[21/13]] and [[13/8]].		'''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between the neutral seconds of [[13/12]] and [[14/13]] as well as between the neutral sixths of [[21/13]] and [[13/8]]. It factors into ([[225/224]])([[676/675]]).

	== Temperaments ==		== Temperaments ==

BudjarnLambeth at 03:20, 11 April 2025

2025-04-11T03:20:42Z

← Older revision		Revision as of 03:20, 11 April 2025
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	[[Category:Buzurgismic]]		[[Category:Buzurgismic]]
	[[Category:Commas named after musical traditions]]		[[Category:Commas named after musical traditions]]
	[[Category:Commas named after ~~myth~~ or ~~folk characters~~]]		[[Category:Commas named after mythology or literature]]

BudjarnLambeth at 23:44, 15 November 2024

2024-11-15T23:44:29Z

← Older revision		Revision as of 23:44, 15 November 2024
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	The dhanvantarisma was presumably named by an unknown guest in 2011 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13493 Small comma (Revision as of 15:50, 13 September 2011 by Wikispaces>guest)]</ref>.		The dhanvantarisma was presumably named by an unknown guest in 2011 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13493 Small comma (Revision as of 15:50, 13 September 2011 by Wikispaces>guest)]</ref>.

			It looks as if it “dhavantarisma” might be named after Dhavantari, the Hindu god of Ayurvedic medicine, physician of the gods, and an avatar of Lord Vishnu. It is unclear whether 169/168 has anything to do with [[Indian]] music or with the [[Vishnu]] temperament.{{todo\|research\|add etymology\|comment=figure out whether it does}}

			Alternatively, it might be named after the word “dhavanta” from the Pali and Kannada languages. It has multiple meanings including “running away”, “hurrying, especially due to eagerness or anxiety”, “great or unreasoning affection or fondness (for a person or thing)”, or “fatigue, weariness”. {{todo\|research\|add etymology\|comment=figure out whether the comma or its temperaments reflect any of those meanings in any way}}

	== Notes ==		== Notes ==
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	[[Category:Buzurgismic]]		[[Category:Buzurgismic]]
	[[Category:Commas named after musical traditions]]		[[Category:Commas named after musical traditions]]
	[[Category:Commas ~~with unknown etymology~~]]		[[Category:Commas named after myth or folk characters]]

BudjarnLambeth at 23:18, 15 November 2024

2024-11-15T23:18:01Z

← Older revision		Revision as of 23:18, 15 November 2024
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	== Etymology ==		== Etymology ==
	The buzurgisma was named by [[Margo Schulter]] in 2012. The name comes from the buzurg aka buzurk genus by Safi al-Din Urmavi, which features a neutral second<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105622.html Yahoo! Tuning Group \| ''13 limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_78630.html Yahoo! Tuning Group \| ''Correction to Buzurk'']</ref>.		The buzurgisma was named by [[Margo Schulter]] in 2012. The name comes from the buzurg aka buzurk [[genus]] by [[Safi al-Din Urmavi]], which features a neutral second<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105622.html Yahoo! Tuning Group \| ''13 limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_78630.html Yahoo! Tuning Group \| ''Correction to Buzurk'']</ref>.

	The dhanvantarisma was presumably named by an unknown guest in 2011 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13493 Small comma (Revision as of 15:50, 13 September 2011 by Wikispaces>guest)]</ref>.		The dhanvantarisma was presumably named by an unknown guest in 2011 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13493 Small comma (Revision as of 15:50, 13 September 2011 by Wikispaces>guest)]</ref>.
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	[[Category:Buzurgismic]]		[[Category:Buzurgismic]]
			[[Category:Commas named after musical traditions]]
			[[Category:Commas with unknown etymology]]

BudjarnLambeth: | Comma = yes

2024-01-20T06:46:19Z

| Comma = yes

← Older revision		Revision as of 06:46, 20 January 2024
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	\| Name = buzurgisma, dhanvantarisma		\| Name = buzurgisma, dhanvantarisma
	\| Color name = 3oor1, thothoru 1sn,<br>Thothoru comma		\| Color name = 3oor1, thothoru 1sn,<br>Thothoru comma
			\| Comma = yes
	}}		}}
	'''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between the neutral seconds of [[13/12]] and [[14/13]] as well as between the neutral sixths of [[21/13]] and [[13/8]].		'''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between the neutral seconds of [[13/12]] and [[14/13]] as well as between the neutral sixths of [[21/13]] and [[13/8]].

FloraC: Improve the subgroup temp names and the namesake

2023-03-08T14:27:50Z

Improve the subgroup temp names and the namesake

← Older revision		Revision as of 14:27, 8 March 2023
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''~~buzurg~~''' or '''~~dhanvantari~~ temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords\|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]].		[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''buzurgic''' or '''dhanvantaric temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords\|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]].

	Besides tempering, the interval serves as a period in the 13-limit temperament [[oganesson]], where it is equated with 1/118th of the octave.		Besides tempering, the interval serves as a period in the 13-limit temperament [[oganesson]], where it is equated with 1/118th of the octave.

	== Etymology ==		== Etymology ==
	The buzurgisma was ~~presumably~~ named by ~~Gene Ward Smith~~ in 2012 ~~since it seems this wiki was~~ the ~~place where it made its first appearance~~<ref>~~See~~ [https://en.~~xen~~.~~wiki~~/~~index~~.~~php?title=Small_comma&oldid=13422 Small~~ comma ~~(Revision as of 12:01, 27 December 2012 by Wikispaces>genewardsmith)~~]</ref>. ~~The name seems~~ to ~~come from the buzurk genus by Safi al-Din Urmavi, which features a neutral second~~.		The buzurgisma was named by [[Margo Schulter]] in 2012. The name comes from the buzurg aka buzurk genus by Safi al-Din Urmavi, which features a neutral second<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105622.html Yahoo! Tuning Group \| ''13 limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_78630.html Yahoo! Tuning Group \| ''Correction to Buzurk'']</ref>.

	The dhanvantarisma was presumably named by an unknown guest in 2011 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13493 Small comma (Revision as of 15:50, 13 September 2011 by Wikispaces>guest)]</ref>.		The dhanvantarisma was presumably named by an unknown guest in 2011 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13493 Small comma (Revision as of 15:50, 13 September 2011 by Wikispaces>guest)]</ref>.

Eliora: +oganesson

2023-01-18T00:22:48Z

+oganesson

← Older revision		Revision as of 00:22, 18 January 2023
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''buzurg''' or '''dhanvantari temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords\|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]].		[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''buzurg''' or '''dhanvantari temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords\|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]].

			Besides tempering, the interval serves as a period in the 13-limit temperament [[oganesson]], where it is equated with 1/118th of the octave.

	== Etymology ==		== Etymology ==

FloraC: Replace that chord with the more characteristic essentially tempered chords

2023-01-11T14:48:34Z

Replace that chord with the more characteristic essentially tempered chords

← Older revision		Revision as of 14:48, 11 January 2023
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''buzurg''' or '''dhanvantari temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords\|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]].		[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''buzurg''' or '''dhanvantari temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords\|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]].

	169/168 is tempered out in the 1-16/13-[[4/3]]-[[64/39]] chord, with the steps [[16/13]]-13/12-16/13-[[39/32]], which is symmetrical (it is the same when inverted). It intertwines two 4/3's between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12.

	== Etymology ==		== Etymology ==

FloraC: +etymology

2023-01-11T13:51:10Z

+etymology

← Older revision		Revision as of 13:51, 11 January 2023
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	169/168 is tempered out in the 1-16/13-[[4/3]]-[[64/39]] chord, with the steps [[16/13]]-13/12-16/13-[[39/32]], which is symmetrical (it is the same when inverted). It intertwines two 4/3's between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12.		169/168 is tempered out in the 1-16/13-[[4/3]]-[[64/39]] chord, with the steps [[16/13]]-13/12-16/13-[[39/32]], which is symmetrical (it is the same when inverted). It intertwines two 4/3's between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12.

			== Etymology ==
			The buzurgisma was presumably named by Gene Ward Smith in 2012 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13422 Small comma (Revision as of 12:01, 27 December 2012 by Wikispaces>genewardsmith)]</ref>. The name seems to come from the buzurk genus by Safi al-Din Urmavi, which features a neutral second.

			The dhanvantarisma was presumably named by an unknown guest in 2011 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13493 Small comma (Revision as of 15:50, 13 September 2011 by Wikispaces>guest)]</ref>.

			== Notes ==

	[[Category:Buzurgismic]]		[[Category:Buzurgismic]]

FloraC: The chord described in the page isn't specific to 19edo, so I'm not sure why that's mentioned. +temperaments

2023-01-11T13:42:54Z

The chord described in the page isn't specific to 19edo, so I'm not sure why that's mentioned. +temperaments

← Older revision		Revision as of 13:42, 11 January 2023
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	'''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between the neutral seconds of [[13/12]] and [[14/13]] as well as between the neutral sixths of [[21/13]] and [[13/8]].		'''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between the neutral seconds of [[13/12]] and [[14/13]] as well as between the neutral sixths of [[21/13]] and [[13/8]].

	~~169/168 is tempered~~ out in a 13-0-2-~~8 chord~~ of [[~~19edo~~]], which is ~~a symmetrical relative to itself - it~~ is the ~~same when inverted. Such a~~ chord ~~consists of a stack of~~ [[16/13]] - [[13/12]] - [[16/13]], which ~~also~~ intertwines two 4/3s between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12.		== Temperaments ==
			[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''buzurg''' or '''dhanvantari temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords\|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]].

			169/168 is tempered out in the 1-16/13-[[4/3]]-[[64/39]] chord, with the steps [[16/13]]-13/12-16/13-[[39/32]], which is symmetrical (it is the same when inverted). It intertwines two 4/3's between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12.

	[[Category:Buzurgismic]]		[[Category:Buzurgismic]]