2058/2057 - Revision history

FloraC: Update data

2026-03-28T12:42:05Z

Update data

← Older revision		Revision as of 12:42, 28 March 2026
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	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[~~CTE~~]]: ~2 = ~~1200~~.~~0000~~{{c}}, ~3/2 = 701.~~9397~~{{c}}, ~7/4 = 968.~~6818~~{{c}}, ~11/8 = 551.~~4639~~{{c}}		* [[WE]]: ~2 = 1199.9939{{c}}, ~3/2 = 701.9458{{c}}, ~7/4 = 968.6949{{c}}, ~11/8 = 551.4810{{c}}
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9446{{c}}, ~7/4 = 968.6908{{c}}, ~11/8 = 551.4738{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9446{{c}}, ~7/4 = 968.6908{{c}}, ~11/8 = 551.4738{{c}}

	{{Optimal ET sequence\|legend=1\| 46, 58, 63, 72, 89, 118, 135, 207, 342, 400, 535, 742, 1395, 1930, 2672 }}		{{Optimal ET sequence\|legend=1\| 31, 41g, 46, 58, 63, 72, 89, 118, 135, 207, 342, 400, 535, 742, 1395, 1930, 2672 }}

			[[Badness]] (Sintel): 0.0963

	=== Xenismic ===		=== Xenismic ===
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	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[~~CTE~~]]: ~2 = ~~1200~~.~~0000~~{{c}}, ~3/2 = 701.~~9397~~{{c}}, ~5/4 = 386.~~3137~~{{c}}, ~7/4 = 968.~~6818~~{{c}}, ~11/8 = 551.~~4639~~{{c}}, ~13/8 = 840.~~5277~~{{c}}		* [[WE]]: ~2 = 1199.9939{{c}}, ~3/2 = 701.9458{{c}}, ~5/4 = 386.3258{{c}}, ~7/4 = 968.6949{{c}}, ~11/8 = 551.4810{{c}}, ~13/8 = 840.5458{{c}}
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.~~9445~~{{c}}, ~5/4 = 386.3208{{c}}, ~7/4 = 968.6908{{c}}, ~11/8 = 551.4738{{c}}, ~13/8 = 840.5389{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9446{{c}}, ~5/4 = 386.3208{{c}}, ~7/4 = 968.6908{{c}}, ~11/8 = 551.4738{{c}}, ~13/8 = 840.5389{{c}}

	{{Optimal ET sequence\|legend=1\| 43, 46, 58, 72, 103, 121, 149, 161, 190g, 224, 270, 311, 354, 400, 460, 581, 742, 814, 935, 1084, 1323, 1395, 2137, 3072e, 3342eg, 4156eg }}*		{{Optimal ET sequence\|legend=1\| 31, 41g, 43, 46, 58, 72, 103, 121, 149, 161, 190g, 224, 270, 311, 354, 400, 460, 581, 742, 814, 935, 1084, 1323, 1395, 2137, 3072e, 3342eg, 4156eg }}*

	<nowiki>*</nowiki> [[optimal patent val]]: [[3756edo\|3756]]		<nowiki>*</nowiki> [[optimal patent val]]: [[3756edo\|3756]]

			[[Badness]] (Sintel): 1.32

	== Etymology ==		== Etymology ==

FloraC: Expand on etymology. Misc. cleanup

2026-03-28T12:36:36Z

Expand on etymology. Misc. cleanup

← Older revision		Revision as of 12:36, 28 March 2026
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	\| Comma = Yes		\| Comma = Yes
	}}		}}
	'''2058/2057''', the '''xenisma''', is an [[unnoticeable comma\|unnoticeable]] [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s exceed [[34/21]], or equivalently the amount by which [[49/44]] (2.7.11 minor tone) * 14/11 exceeds [[17/12]].		'''2058/2057''', the '''xenisma''', is an [[unnoticeable comma\|unnoticeable]] [[17-limit]] (also 2.3.7.11.17-[[subgroup]]) [[comma]] measuring about 0.841 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s exceed [[34/21]], or equivalently the amount by which a stack consisting of [[49/44]] and 14/11 exceeds [[17/12]].

	== Commatic relations ==		== Commatic relations ==
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 17-limit results in the rank-6 '''xenismic ~~temperament~~''', or in the 2.3.7.11.17 subgroup, the rank-4 '''xenic ~~temperament~~'''. In either case it enables [[xenismic chords]].		[[Tempering out]] this comma in the 17-limit results in the rank-6 '''xenismic''' temperament, or in the 2.3.7.11.17 subgroup, the rank-4 '''xenic''' temperament. In either case it enables [[xenismic chords]].

	=== Xenic ===		=== Xenic ===
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	{{Mapping\|legend=2\| 1 0 0 0 1 \| 0 1 0 0 1 \| 0 0 1 0 3 \| 0 0 0 1 -2 }}		{{Mapping\|legend=2\| 1 0 0 0 1 \| 0 1 0 0 1 \| 0 0 1 0 3 \| 0 0 0 1 -2 }}
			: mapping generators: ~2, ~3, ~7, ~11
	: ~~sval~~ mapping generators: ~2, ~3, ~7, ~11

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = ~~1\1~~, ~3/2 = 701.9397, ~7/4 = 968.6818, ~11/8 = 551.4639		* [[CTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9397{{c}}, ~7/4 = 968.6818{{c}}, ~11/8 = 551.4639{{c}}
	* [[CWE]]: ~2 = ~~1\1~~, ~3/2 = 701.9446, ~7/4 = 968.6908, ~11/8 = 551.4738		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9446{{c}}, ~7/4 = 968.6908{{c}}, ~11/8 = 551.4738{{c}}

	{{Optimal ET sequence\|legend=1\| 46, 58, 63, 72, 89, 118, 135, 207, 342, 400, 535, 742, 1395, 1930, 2672 }}		{{Optimal ET sequence\|legend=1\| 46, 58, 63, 72, 89, 118, 135, 207, 342, 400, 535, 742, 1395, 1930, 2672 }}
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	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = ~~1\1~~, ~3/2 = 701.9397, ~5/4 = 386.3137, ~7/4 = 968.6818, ~11/8 = 551.4639, ~13/8 = 840.5277		* [[CTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9397{{c}}, ~5/4 = 386.3137{{c}}, ~7/4 = 968.6818{{c}}, ~11/8 = 551.4639{{c}}, ~13/8 = 840.5277{{c}}
	* [[CWE]]: ~2 = ~~1\1~~, ~3/2 = 701.9445, ~5/4 = 386.3208, ~7/4 = 968.6908, ~11/8 = 551.4738, ~13/8 = 840.5389		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9445{{c}}, ~5/4 = 386.3208{{c}}, ~7/4 = 968.6908{{c}}, ~11/8 = 551.4738{{c}}, ~13/8 = 840.5389{{c}}

	{{Optimal ET sequence\|legend=1\| 43, 46, 58, 72, 103, 121, 149, 161, 190g, 224, 270, 311, 354, 400, 460, 581, 742, 814, 935, 1084, 1323, 1395, 2137, 3072e, 3342eg, 4156eg }}*		{{Optimal ET sequence\|legend=1\| 43, 46, 58, 72, 103, 121, 149, 161, 190g, 224, 270, 311, 354, 400, 460, 581, 742, 814, 935, 1084, 1323, 1395, 2137, 3072e, 3342eg, 4156eg }}*
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	== Etymology ==		== Etymology ==
	~~The xenisma~~ was named by [[Margo Schulter]] in 2000<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_12989.html Yahoo! Tuning Group \| ''Re: Kalisma/xenisma (new names?) -- JI tuning and Scala file'']</ref>.		This comma was named by [[Margo Schulter]] in 2000<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_12989.html Yahoo! Tuning Group \| ''Re: Kalisma/xenisma (new names?) -- JI tuning and Scala file'']</ref>. Its name comes from the Ancient Greek word [[wiktionary: ξένος #Ancient Greek\|''xénos'']] ("strange"), which may suggest the strange and wonderful qualities in a [[neogothic]] setting of supraminor and submajor thirds.

	== ~~Notes~~ ==		== References ==

	[[Category:Xenismic]]		[[Category:Xenismic]]
	[[Category:Commas ~~with unknown etymology~~]]		[[Category:Commas named by translating something into another language]]

Inthar at 02:16, 12 March 2026

2026-03-12T02:16:20Z

← Older revision		Revision as of 02:16, 12 March 2026
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	\| Comma = Yes		\| Comma = Yes
	}}		}}
	'''2058/2057''', the '''xenisma''', is an [[unnoticeable comma\|unnoticeable]] [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s exceed [[34/21]], or equivalently the amount by which 49/44 (2.7.11 minor tone) * 14/11 exceeds [[17/12]]		'''2058/2057''', the '''xenisma''', is an [[unnoticeable comma\|unnoticeable]] [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s exceed [[34/21]], or equivalently the amount by which [[49/44]] (2.7.11 minor tone) * 14/11 exceeds [[17/12]].

	== Commatic relations ==		== Commatic relations ==

Inthar at 02:16, 12 March 2026

2026-03-12T02:16:04Z

← Older revision		Revision as of 02:16, 12 March 2026
Line 4:		Line 4:
	\| Comma = Yes		\| Comma = Yes
	}}		}}
	'''2058/2057''', the '''xenisma''', is an [[unnoticeable comma\|unnoticeable]] [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s exceed [[34/21]].		'''2058/2057''', the '''xenisma''', is an [[unnoticeable comma\|unnoticeable]] [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s exceed [[34/21]], or equivalently the amount by which 49/44 (2.7.11 minor tone) * 14/11 exceeds [[17/12]]

	== Commatic relations ==		== Commatic relations ==

BudjarnLambeth at 01:58, 16 November 2024

2024-11-16T01:58:24Z

← Older revision		Revision as of 01:58, 16 November 2024
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	[[Category:Xenismic]]		[[Category:Xenismic]]
			[[Category:Commas with unknown etymology]]

FloraC: +temperaments

2024-03-28T10:19:39Z

+temperaments

@@ Line 4: / Line 4: @@
 | Comma = Yes
 }}
+'''2058/2057''', the '''xenisma''', is an [[unnoticeable comma|unnoticeable]] [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s exceed [[34/21]].
 == Commatic relations ==
@@ Line 25: / Line 24: @@
 == Temperaments ==
 Tempering out this comma in the 17-limit results in the rank-6 '''xenismic temperament''', or in the 2.3.7.11.17 subgroup, the rank-4 '''xenic temperament'''. In either case it enables [[xenismic chords]].
 == Etymology ==

Francium: Added color name

2023-09-07T15:41:11Z

Added color name

← Older revision		Revision as of 15:41, 7 September 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = xenisma		\| Name = xenisma
			\| Color name = 17u1uuz<sup>3</sup>2, sululutrizo 2nd
	\| Comma = Yes		\| Comma = Yes
	}}		}}

FloraC: Found an even earlier material

2023-05-10T11:57:56Z

Found an even earlier material

← Older revision		Revision as of 11:57, 10 May 2023
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	== Etymology ==		== Etymology ==
	The xenisma was named by [[Margo Schulter]] in ~~2012~~<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/~~topicId_105620~~.html Yahoo! Tuning ~~List~~ \| ''~~123201~~/~~123200 chalmersia, 194481/194480 scintillisma~~'']</ref>.		The xenisma was named by [[Margo Schulter]] in 2000<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_12989.html Yahoo! Tuning Group \| ''Re: Kalisma/xenisma (new names?) -- JI tuning and Scala file'']</ref>.

	== Notes ==		== Notes ==

	[[Category:Xenismic]]		[[Category:Xenismic]]

FloraC: +the main pump

2023-03-08T13:33:53Z

+the main pump

← Older revision		Revision as of 13:33, 8 March 2023
Line 4:		Line 4:
	}}		}}

	'''2058/2057''', the '''xenisma''', is a [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s.		'''2058/2057''', the '''xenisma''', is a [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s exceed [[34/21]].

	== Commatic relations ==		== Commatic relations ==

FloraC: Created page with "{{Infobox Interval | Name = xenisma | Comma = Yes }} '''2058/2057''', the '''xenisma''', is a 17-limit (also 2.3.7.11.17 subgroup) comma measuring about 0.84 ce..."

2023-03-08T12:10:39Z

Created page with "{{Infobox Interval | Name = xenisma | Comma = Yes }} '''2058/2057''', the '''xenisma''', is a 17-limit (also 2.3.7.11.17 subgroup) comma measuring about 0.84 ce..."

New page

{{Infobox Interval
| Name = xenisma
| Comma = Yes
}}

'''2058/2057''', the '''xenisma''', is a [[17-limit]] (also 2.3.7.11.17 [[subgroup]]) [[comma]] measuring about 0.84 [[cent]]s.

== Commatic relations ==
This comma is the difference between the following superparticular pairs:
* [[364/363]] and [[442/441]]
* [[441/440]] and [[561/560]]
* [[936/935]] and [[1716/1715]]
* [[1225/1224]] and [[3025/3024]]
* [[1701/1700]] and [[9801/9800]]

Not to mention some nonsuperparticular but useful relations:
* [[273/272]] and [[1573/1568]]
* [[1575/1573]] and [[1275/1274]]

It factors into the following superparticular pairs:
* [[2401/2400]] and [[14400/14399]]
* [[2080/2079]] and [[194481/194480]]

== Temperaments ==
Tempering out this comma in the 17-limit results in the rank-6 '''xenismic temperament''', or in the 2.3.7.11.17 subgroup, the rank-4 '''xenic temperament'''. In either case it enables [[xenismic chords]].

== Etymology ==
The xenisma was named by [[Margo Schulter]] in 2012<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105620.html Yahoo! Tuning List | ''123201/123200 chalmersia, 194481/194480 scintillisma'']</ref>.

== Notes ==

[[Category:Xenismic]]