121/120 - Revision history

FloraC: Set the links straight

2025-04-26T11:33:17Z

Set the links straight

← Older revision		Revision as of 11:33, 26 April 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}

	In [[just intonation]], '''121/120''', otherwise known as the '''biyatisma''', or '''undecimal seconds comma''', is a [[superparticular]] interval of around 14.4 [[cent]]s which makes the difference between two undecimal neutral seconds of [[11/10]] and [[12/11]], between [[11/8]] and [[15/11]], and also the difference between [[6/5]] and two [[12/11]]'s.		In [[just intonation]], '''121/120''', otherwise known as the '''biyatisma''', or '''undecimal seconds comma''', is a [[superparticular]] interval of around 14.4 [[cent]]s which makes the difference between two undecimal neutral seconds of [[11/10]] and [[12/11]], between [[11/8]] and [[15/11]], and also the difference between [[6/5]] and two [[12/11]]'s.

	== Temperaments ==		== Temperaments ==
	Tempering this comma ~~out~~ in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[~~biyatismic~~ clan]] for extensions of protomere. ~~[[Tempering out\|~~Tempering]] it out in the full 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This is similar to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.		[[Tempering out]] this comma in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[Biyatismic clan]] for extensions of protomere. Tempering it out in the full 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This is similar to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.

	== Etymology ==		== Etymology ==

VectorGraphics: subgroup should be listed first

2025-04-25T18:24:04Z

subgroup should be listed first

← Older revision		Revision as of 18:24, 25 April 2025
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	== Temperaments ==		== Temperaments ==
	[[Tempering ~~out]]~~ this comma ~~in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). Tempering it~~ out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This is similar to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.		Tempering this comma out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. [[Tempering out\|Tempering]] it out in the full 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This is similar to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.

	== Etymology ==		== Etymology ==

Lériendil: added the potential explanation

2025-02-19T17:02:09Z

added the potential explanation

← Older revision		Revision as of 17:02, 19 February 2025
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	== Etymology ==		== Etymology ==
	The biyatisma was presumably named by [[Gene Ward Smith]] in 2010 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=13575 ''Small comma'' (Revision as of 23:54, 1 June 2010 by Wikispaces>genewardsmith)]</ref>. The name seems to come from {{w\|Bayati (maqam)\|maqam bayati}}, which features a neutral second. It is yet to be found out why it is spelt with an "i" instead of an "a".		The biyatisma was presumably named by [[Gene Ward Smith]] in 2010 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=13575 ''Small comma'' (Revision as of 23:54, 1 June 2010 by Wikispaces>genewardsmith)]</ref>. The name seems to come from {{w\|Bayati (maqam)\|maqam bayati}}, which features a neutral second. It is yet to be found out why it is spelt with an "i" instead of an "a", although likely it is a pun using the prefix "bi" given that it splits the interval [[6/5]] in two parts.

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

BudjarnLambeth at 09:59, 3 November 2024

2024-11-03T09:59:55Z

← Older revision		Revision as of 09:59, 3 November 2024
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	[[Category:Biyatismic]]		[[Category:Biyatismic]]
			[[Category:Commas named after musical traditions]]

ArrowHead294 at 23:40, 25 March 2024

2024-03-25T23:40:33Z

← Older revision		Revision as of 23:40, 25 March 2024
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	}}		}}

	In [[just intonation]], '''121/120''', otherwise known as the '''biyatisma''', or '''undecimal seconds comma''', is a [[superparticular]] interval of around 14.4 [[cent]]s which makes the difference between two undecimal neutral seconds of [[11/10]] and [[12/11]], ~~as well as~~ between [[11/8]] and [[15/11]].		In [[just intonation]], '''121/120''', otherwise known as the '''biyatisma''', or '''undecimal seconds comma''', is a [[superparticular]] interval of around 14.4 [[cent]]s which makes the difference between two undecimal neutral seconds of [[11/10]] and [[12/11]], between [[11/8]] and [[15/11]], and also the difference between [[6/5]] and two [[12/11]]'s.

	== Temperaments ==		== Temperaments ==

FloraC: -typo

2023-10-05T11:08:36Z

-typo

← Older revision		Revision as of 11:08, 5 October 2023
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). Tempering it out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This ~~siimlar~~ to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.		[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). Tempering it out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This is similar to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.

	== Etymology ==		== Etymology ==
	The biyatisma was presumably named by [[Gene Ward Smith]] in 2010 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=13575 ''Small comma'' (Revision as of 23:54, 1 June 2010 by Wikispaces>genewardsmith)]</ref>. The name seems to come from ~~[[Wikipedia:~~Bayati (maqam)\|maqam bayati]], which features a neutral second. It is yet to be found out why it is spelt with an "i" instead of an "a".		The biyatisma was presumably named by [[Gene Ward Smith]] in 2010 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=13575 ''Small comma'' (Revision as of 23:54, 1 June 2010 by Wikispaces>genewardsmith)]</ref>. The name seems to come from {{w\|Bayati (maqam)\|maqam bayati}}, which features a neutral second. It is yet to be found out why it is spelt with an "i" instead of an "a".

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

CompactStar: I would definitely not call it in contrast when these systems can be conjoined.

2023-10-05T08:40:03Z

I would definitely not call it in contrast when these systems can be conjoined.

← Older revision		Revision as of 08:40, 5 October 2023
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). Tempering it out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This ~~is in contrast~~ to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.		[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). Tempering it out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This siimlar to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.

	== Etymology ==		== Etymology ==

FloraC: +etymology

2023-01-11T11:54:04Z

+etymology

← Older revision		Revision as of 11:54, 11 January 2023
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). Tempering it out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This is in contrast to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.		[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). Tempering it out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This is in contrast to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.

			== Etymology ==
			The biyatisma was presumably named by [[Gene Ward Smith]] in 2010 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=13575 ''Small comma'' (Revision as of 23:54, 1 June 2010 by Wikispaces>genewardsmith)]</ref>. The name seems to come from [[Wikipedia:Bayati (maqam)\|maqam bayati]], which features a neutral second. It is yet to be found out why it is spelt with an "i" instead of an "a".

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

			== Notes ==

	[[Category:Biyatismic]]		[[Category:Biyatismic]]

FloraC: +protomere

2023-01-11T08:16:49Z

+protomere

← Older revision		Revision as of 08:16, 11 January 2023
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]])~~, enabling~~ [[biyatismic ~~chords~~]]. In such systems, 11/10 and 12/11 are equated. This is in contrast to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]~~. See [[biyatismic clan]] for the clan of rank-3 temperaments where it is tempered out~~. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.		[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]). Tempering it out in the 2.3.5.11 [[subgroup]] gives the rank-3 [[protomere]] temperament. See [[biyatismic clan]] for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling [[biyatismic chords]]. This is in contrast to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.

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

FloraC: The 1-11/8-15/8 chord is essentially just

2023-01-11T08:13:29Z

The 1-11/8-15/8 chord is essentially just

← Older revision		Revision as of 08:13, 11 January 2023
Line 5:		Line 5:
	}}		}}

	In [[just intonation]], '''121/120''', otherwise known as the '''biyatisma''', or '''undecimal seconds comma''', is a [[superparticular]] interval of around 14.4 [[cent]]s which makes the difference between two undecimal neutral seconds of [[11/10]] and [[12/11]].		In [[just intonation]], '''121/120''', otherwise known as the '''biyatisma''', or '''undecimal seconds comma''', is a [[superparticular]] interval of around 14.4 [[cent]]s which makes the difference between two undecimal neutral seconds of [[11/10]] and [[12/11]], as well as between [[11/8]] and [[15/11]].

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]), enabling [[biyatismic chords]]. ~~See [[biyatismic clan]] for the clan of rank-3 temperaments where it is tempered out.~~		[[Tempering out]] this comma in the 11-limit gives the rank-4 biyatismic temperament (→ [[Rank-4 temperament #Biyatismic (121/120)]]), enabling [[biyatismic chords]]. In such systems, 11/10 and 12/11 are equated. This is in contrast to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. See [[biyatismic clan]] for the clan of rank-3 temperaments where it is tempered out. Equal temperaments in which 121/120 is tempered out include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others.

	~~Equal temperaments in which 121/120 is [[tempered out]] include {{EDOs\| 15, 22, 29, 31, 46, 53 }} and others; in~~ such systems, 11/10 and 12/11 are equated. This is in contrast to the more familiar tempering out of [[81/80]], which results in meantone and other temperaments, in which [[10/9]] is equated with [[9/8]]. ~~Along with being the difference between 11/10 and 12/11, 121/120 is the difference between~~ [[~~11/8~~]] ~~and [[15/11]], so that tempering~~ out 121/120 ~~allows for the [[Dyadic chord~~\|~~dyadic triad]] which has intervals of 11/8~~, ~~11/8~~, and ~~16/15 ([[biyatismic chords]])~~.

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