5832/5831 - Revision history

FloraC at 08:19, 29 March 2026

2026-03-29T08:19:09Z

← Older revision		Revision as of 08:19, 29 March 2026
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9344{{c}}, ~5/4 = 386.3194{{c}}, ~7/4 = 968.8712{{c}}, ~11/8 = 551.3264{{c}}, ~13/8 = 840.5367{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9344{{c}}, ~5/4 = 386.3194{{c}}, ~7/4 = 968.8712{{c}}, ~11/8 = 551.3264{{c}}, ~13/8 = 840.5367{{c}}

	{{Optimal ET sequence\|legend=1\| 19, 22, 27eg, 41, 49fg, 50, 58, 72, 121, 149, 166g, 171, 193, 198g, 224g, 243e, 270, 364, 373g, 400, 422, 494, 742, 764, 814, 935, 1084, 1106, 1178, 1236, 1506, 2000, 2414, 2684, 3178, 3920, 4684, 5498, 10182d, 14102dg, 14174d, 15680dg, 19600dg, }} *		{{Optimal ET sequence\|legend=1\| 19, 22, 27eg, 41, 49fg, 50, 58, 72, 121, 149, 166g, 171, 193, 198g, 224g, 243e, 270, 364, 373g, 400, 422, 494, 742, 764, 814, 935, 1084, 1106, 1178, 1236, 1506, 2000, 2414, 2684, 3178, 3920, 4684, 5498, 10182d, 14102dg, 14174d, 15680dg, 19600dg }} *

	<nowiki/> * [[optimal patent val]]: [[14916edo\|14916]]		<nowiki/> * [[optimal patent val]]: [[14916edo\|14916]]

FloraC: + data

2026-03-29T08:17:47Z

+ data

@@ Line 21: / Line 21: @@
 == Temperaments ==
 [[Tempering out]] this comma in the 17-limit results in the rank-6 '''chlorismic''' temperament, or in the 2.3.7.17 subgroup, the rank-3 '''chloric''' temperament. In either case it equates a stack of three [[9/7]] supermajor thirds with [[17/8]], the 17th harmonic minus three octaves. [[80edo]] represents both 9/7 and 17/8 within 0.1 cents, so it and many [[80th-octave temperaments]] temper out the chlorisma.
 == Etymology ==

FloraC: + another way to pump it

2026-03-29T07:58:16Z

+ another way to pump it

← Older revision		Revision as of 07:58, 29 March 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''5832/5831''', the '''chlorisma''', is an [[unnoticeable comma\|exceptionally small]] [[17-limit]] (also 2.3.7.17-[[subgroup]]) [[unnoticeable comma]] of about 0.297 [[cent]]s. It is the difference between [[18/17]] and [[343/324]], ~~and the difference~~ between ~~a stack of three~~ [[9/7]]'s and [[17/8]].		'''5832/5831''', the '''chlorisma''', is an [[unnoticeable comma\|exceptionally small]] [[17-limit]] (also 2.3.7.17-[[subgroup]]) [[unnoticeable comma]] of about 0.297 [[cent]]s. It is amount by which a stack of three [[9/7]]'s exceeds [[17/8]], or the amount by which a stack of three [[7/6]]'s falls short of [[27/17]]. Equivalently, it is the difference between [[18/17]] and [[343/324]], or between [[24/17]] and [[343/243]].

	In [[Sagittal notation]], this is the default comma represented by two [[tina]]s.		In [[Sagittal notation]], this is the default comma represented by two [[tina]]s.

FloraC: Misc. cleanup

2026-03-29T07:54:03Z

Misc. cleanup

← Older revision		Revision as of 07:54, 29 March 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
			'''5832/5831''', the '''chlorisma''', is an [[unnoticeable comma\|exceptionally small]] [[17-limit]] (also 2.3.7.17-[[subgroup]]) [[unnoticeable comma]] of about 0.297 [[cent]]s. It is the difference between [[18/17]] and [[343/324]], and the difference between a stack of three [[9/7]]'s and [[17/8]].
	'''5832/5831''', the '''chlorisma''', is an exceptionally small [[17-limit]] (also 2.3.7.17 [[subgroup]]) [[unnoticeable comma]] of ~~less than~~ 0.~~3 cents~~. It is the difference between [[18/17]] and [[343/324]], and the difference between a stack of three [[9/7]]s and [[17/8]].

	In [[Sagittal notation]], this is the default comma represented by two [[tina]]s.		In [[Sagittal notation]], this is the default comma represented by two [[tina]]s.
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	== Commatic relations ==		== Commatic relations ==
	In terms of commas, it is the difference between the following superparticular pairs:		In terms of commas, it is the difference between the following superparticular pairs:

	* [[540/539]] and [[595/594]]		* [[540/539]] and [[595/594]]
	* [[729/728]] and [[833/832]]		* [[729/728]] and [[833/832]]
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	It factors into the following superparticular pair:		It factors into the following superparticular pair:

	* [[9801/9800]] and [[14400/14399]]		* [[9801/9800]] and [[14400/14399]]

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 17-limit results in the rank-6 '''chlorismic ~~temperament~~''', or in the 2.3.7.17 subgroup, the rank-3 '''chloric ~~temperament~~'''. In either case it equates a stack of three [[9/7]] supermajor thirds with [[17/8]], the 17th harmonic minus three octaves. [[80edo]] represents both 9/7 and 17/8 within 0.1 cents, so it and many [[80th-octave temperaments]] temper out the chlorisma.		[[Tempering out]] this comma in the 17-limit results in the rank-6 '''chlorismic''' temperament, or in the 2.3.7.17 subgroup, the rank-3 '''chloric''' temperament. In either case it equates a stack of three [[9/7]] supermajor thirds with [[17/8]], the 17th harmonic minus three octaves. [[80edo]] represents both 9/7 and 17/8 within 0.1 cents, so it and many [[80th-octave temperaments]] temper out the chlorisma.

	== Etymology ==		== Etymology ==
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	== See also ==		== See also ==
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[Unnoticeable comma]]

	[[Category:Chlorismic]]		[[Category:Chlorismic]]
	[[Category:Commas with unknown etymology]]		[[Category:Commas with unknown etymology]]

Overthink: /* Temperaments */ + note on 80edo

2025-12-14T04:51:00Z

Temperaments: + note on 80edo

← Older revision		Revision as of 04:51, 14 December 2025
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 17-limit results in the rank-6 '''chlorismic temperament''', or in the 2.3.7.17 subgroup, the rank-3 '''chloric temperament'''. In either case it equates a stack of three [[9/7]] supermajor thirds with [[17/8]], the 17th harmonic minus three octaves.		Tempering out this comma in the 17-limit results in the rank-6 '''chlorismic temperament''', or in the 2.3.7.17 subgroup, the rank-3 '''chloric temperament'''. In either case it equates a stack of three [[9/7]] supermajor thirds with [[17/8]], the 17th harmonic minus three octaves. [[80edo]] represents both 9/7 and 17/8 within 0.1 cents, so it and many [[80th-octave temperaments]] temper out the chlorisma.

	== Etymology ==		== Etymology ==

Lériendil at 18:32, 17 January 2025

2025-01-17T18:32:21Z

← Older revision		Revision as of 18:32, 17 January 2025
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	}}		}}

	'''5832/5831''', the '''chlorisma''', is an exceptionally small [[17-limit]] (also 2.3.7.17 [[subgroup]]) [[unnoticeable comma]] of less than 0.3 cents. It is the difference between [[18/17]] and [[343/324]].		'''5832/5831''', the '''chlorisma''', is an exceptionally small [[17-limit]] (also 2.3.7.17 [[subgroup]]) [[unnoticeable comma]] of less than 0.3 cents. It is the difference between [[18/17]] and [[343/324]], and the difference between a stack of three [[9/7]]s and [[17/8]].

	In [[Sagittal notation]], this is the default comma represented by two [[tina]]s.		In [[Sagittal notation]], this is the default comma represented by two [[tina]]s.

BudjarnLambeth at 02:02, 16 November 2024

2024-11-16T02:02:07Z

← Older revision		Revision as of 02:02, 16 November 2024
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	[[Category:Chlorismic]]		[[Category:Chlorismic]]
			[[Category:Commas with unknown etymology]]

Xenllium: /* Commatic relations */

2023-11-27T08:23:50Z

Commatic relations

← Older revision		Revision as of 08:23, 27 November 2023
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	* [[4914/4913]] and [[31213/31212]]		* [[4914/4913]] and [[31213/31212]]

	It factors into the following ~~suparparticular pairs~~:		It factors into the following superparticular pair:

	* [[9801/9800]] and [[14400/14399]]		* [[9801/9800]] and [[14400/14399]]

FloraC: Chlorine was earlier

2023-06-20T07:06:41Z

Chlorine was earlier

← Older revision		Revision as of 07:06, 20 June 2023
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	== Etymology ==		== Etymology ==
	The chlorisma was named by [[User:Jerdle\|Jerdle]] in 2021. Despite the similar name, it has no relation to the ~~later~~-named [[~~Chlorine~~]] temperament.		The chlorisma was named by [[User:Jerdle\|Jerdle]] in 2021. Despite the similar name, it has no relation to the previously-named [[chlorine]] temperament.

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

Jerdle at 01:39, 20 June 2023

2023-06-20T01:39:29Z

← Older revision		Revision as of 01:39, 20 June 2023
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	== Etymology ==		== Etymology ==
	The chlorisma was named by [[User:Jerdle\|Jerdle]] in 2021.		The chlorisma was named by [[User:Jerdle\|Jerdle]] in 2021. Despite the similar name, it has no relation to the later-named [[Chlorine]] temperament.

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