Chromatisma - Revision history

BudjarnLambeth at 12:29, 3 November 2024

2024-11-03T12:29:24Z

← Older revision		Revision as of 12:29, 3 November 2024
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	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]


			[[Category:Commas with unknown etymology]]

Francium: Added color name

2023-09-07T18:59:13Z

Added color name

← Older revision		Revision as of 18:59, 7 September 2023
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	\| Monzo = 22 -32 16 -3		\| Monzo = 22 -32 16 -3
	\| Name = chromatisma, 218EDO comma		\| Name = chromatisma, 218EDO comma
			\| Color name = s<sup>3</sup>r<sup>3</sup>y<sup>16</sup>-3, trisa-triru-aquadquadyo negative 3rd
	\| Comma = yes		\| Comma = yes
	}}		}}

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T18:47:23Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

← Older revision		Revision as of 18:47, 7 May 2023
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	Mapping: [{{val\|1 0 -1 2}}, {{val\|0 1 2 0}}, {{val\|0 0 3 16}}]<br>		Mapping: [{{val\|1 0 -1 2}}, {{val\|0 1 2 0}}, {{val\|0 0 3 16}}]<br>
	POTE generators: ~3/2 = 702.261, ~413343/400000 = 60.566<br>		POTE generators: ~3/2 = 702.261, ~413343/400000 = 60.566<br>
	~~Vals:~~ {{~~Val list~~\| 60, 99, 159, 258, 277, 357, 376, 436, 535 }}<br><br>		{{Optimal ET sequence\|legend=1\| 60, 99, 159, 258, 277, 357, 376, 436, 535 }}<br><br>

	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:32:29Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:32, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~		\| Ratio = 640 000 000 000 000 000 /<br/>635 585 924 776 181 463
	\| Ratio = ~~640000000000000000~~/~~635585924776181463~~
	\| Monzo = 22 -32 16 -3		\| Monzo = 22 -32 16 -3
	~~\| Cents = 11.98167~~		\| Name = chromatisma, 218EDO comma
	\| Name = chromatisma, ~~<br>~~218EDO comma		\| Comma = yes
	\| ~~Color name =~~
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}

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	== See also ==		== See also ==
	* [[Small comma]]		* [[Small comma]]

	~~[[Category:7-limit]]~~
	~~[[Category:Small commas]]~~

Fredg999 category edits: Moving from Category:Small comma to Category:Small commas using Cat-a-lot

2022-03-20T21:59:58Z

Moving from Category:Small comma to Category:Small commas using Cat-a-lot

← Older revision		Revision as of 21:59, 20 March 2022
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	[[Category:7-limit]]		[[Category:7-limit]]
	[[Category:Small ~~comma~~]]		[[Category:Small commas]]

Fredg999: Removed superflous spaces in interval ratio (fixed xen-calc link)

2021-07-28T13:42:53Z

Removed superflous spaces in interval ratio (fixed xen-calc link)

← Older revision		Revision as of 13:42, 28 July 2021
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	{{Infobox Interval		{{Infobox Interval
	\| Icon =		\| Icon =
	\| Ratio = 640000000000000000 / 635585924776181463		\| Ratio = 640000000000000000/635585924776181463
	\| Monzo = 22 -32 16 -3		\| Monzo = 22 -32 16 -3
	\| Cents = 11.98167		\| Cents = 11.98167

Xenllium: /* Temperaments */

2021-05-05T01:46:16Z

Temperaments

← Older revision		Revision as of 01:46, 5 May 2021
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	Comma: {{monzo\|22 -32 16 -3}}<br>		Comma: {{monzo\|22 -32 16 -3}}<br>
	Mapping: [{{val\|1 0 -1 2}}, {{val\|0 1 2 0}}, {{val\|0 0 3 16}}]<br>		Mapping: [{{val\|1 0 -1 2}}, {{val\|0 1 2 0}}, {{val\|0 0 3 16}}]<br>
	POTE generators: ~3/2 = 702.261, ~5/4 = 60.566<br>		POTE generators: ~3/2 = 702.261, ~413343/400000 = 60.566<br>
	Vals: {{Val list\| 60, 99, 159, 258, 277, 357, 376, 436, 535 }}<br><br>		Vals: {{Val list\| 60, 99, 159, 258, 277, 357, 376, 436, 535 }}<br><br>

Xenllium at 00:34, 5 May 2021

2021-05-05T00:34:26Z

← Older revision		Revision as of 00:34, 5 May 2021
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	}}		}}

	The '''chromatisma''', {{monzo\|22 -32 16 -3}} = (10/9)<sup>16</sup>/(7/4)<sup>3</sup> is a [[7-limit]] [[comma]] measuring about 12 cents. It is the difference between a stack of three [[7/4]]s and a stack of sixteen [[10/9]]s. It is also known as '''[[218edo\|218EDO comma]]''', because 218EDO tempers it out in the 2.9.5.7 subgroup (''not'' in the full [[7-limit]] = 2.3.5.7 subgroup).		The '''chromatisma''', {{monzo\|22 -32 16 -3}} = (10/9)<sup>16</sup>/(7/4)<sup>3</sup> is a [[7-limit]] [[comma]] measuring about 12 cents. It is the difference between a stack of three [[7/4]]s and a stack of sixteen [[10/9]]s. It is also known as '''[[218edo\|218EDO comma]]''', because 218EDO tempers it out in the 2.9.5.7 subgroup (''not'' in the full [[7-limit]] = 2.3.5.7 subgroup). The name ''chromatisma'' was named after the [[Hemimage temperaments #Chromat\|chromat]] temperament by [[User:Xenllium\|Xenllium]].

	== Temperaments ==		== Temperaments ==
	Tempering out this comma leads a number of regular temperaments including ~~[[Hemimage temperaments #Chromat\|~~chromat]]. Chromatismic rank three temperament can be described as the 99&159&277 temperament, which has a generator tuned about 61 cents, three of which gives ~10/9 and sixteen gives ~7/4.		Tempering out this comma leads a number of regular temperaments including chromat. Chromatismic rank three temperament can be described as the 99&159&277 temperament, which has a generator tuned about 61 cents, three of which gives ~10/9 and sixteen gives ~7/4.

	'''<font style="font-size: 1.15em">7-limit chromatismic (99&159&277)</font>'''<br>		'''<font style="font-size: 1.15em">7-limit chromatismic (99&159&277)</font>'''<br>

Xenllium: Created page with "{{Infobox Interval | Icon = | Ratio = 640000000000000000 / 635585924776181463 | Monzo = 22 -32 16 -3 | Cents = 11.98167 | Name = chromatisma,
218EDO comma | Color name =..."

2021-05-05T00:22:02Z

Created page with "{{Infobox Interval | Icon = | Ratio = 640000000000000000 / 635585924776181463 | Monzo = 22 -32 16 -3 | Cents = 11.98167 | Name = chromatisma, 218EDO comma | Color name =..."

New page

{{Infobox Interval
| Icon =
| Ratio = 640000000000000000 / 635585924776181463
| Monzo = 22 -32 16 -3
| Cents = 11.98167
| Name = chromatisma, 218EDO comma
| Color name =
| FJS name =
| Sound =
}}

The '''chromatisma''', {{monzo|22 -32 16 -3}} = (10/9)16/(7/4)3 is a [[7-limit]] [[comma]] measuring about 12 cents. It is the difference between a stack of three [[7/4]]s and a stack of sixteen [[10/9]]s. It is also known as '''[[218edo|218EDO comma]]''', because 218EDO tempers it out in the 2.9.5.7 subgroup (''not'' in the full [[7-limit]] = 2.3.5.7 subgroup).

== Temperaments ==
Tempering out this comma leads a number of regular temperaments including [[Hemimage temperaments #Chromat|chromat]]. Chromatismic rank three temperament can be described as the 99&159&277 temperament, which has a generator tuned about 61 cents, three of which gives ~10/9 and sixteen gives ~7/4.

'''7-limit chromatismic (99&159&277)''' 
Comma: {{monzo|22 -32 16 -3}} 
Mapping: [{{val|1 0 -1 2}}, {{val|0 1 2 0}}, {{val|0 0 3 16}}] 
POTE generators: ~3/2 = 702.261, ~5/4 = 60.566 
Vals: {{Val list| 60, 99, 159, 258, 277, 357, 376, 436, 535 }} 

== See also ==
* [[Small comma]]

[[Category:7-limit]]
[[Category:Small comma]]