Hemimage comma - Revision history

BudjarnLambeth at 13:05, 3 November 2024

2024-11-03T13:05:32Z

← Older revision		Revision as of 13:05, 3 November 2024
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	[[Category:Hemimage]]		[[Category:Hemimage]]
	[[Category:Commas named ~~for their regular~~ temperament ~~properties~~]]		[[Category:Commas named by combining multiple temperament names]]

BudjarnLambeth at 12:49, 3 November 2024

2024-11-03T12:49:31Z

← Older revision		Revision as of 12:49, 3 November 2024
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	[[Category:Hemimage]]		[[Category:Hemimage]]
			[[Category:Commas named for their regular temperament properties]]

FloraC: Expansion

2024-01-02T12:38:49Z

Expansion

← Older revision		Revision as of 12:38, 2 January 2024
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	}}		}}

	The '''hemimage''', '''10976/10935''', is a [[7-limit]] [[comma]] measuring about 6.5 [[cent]]s. It marks the difference between a [[16/15\|classic diatonic semitone (16/15)]] and a stack of three [[9/7\|septimal major thirds (9/7)]] octave reduced, or between a [[10/9\|classic whole tone (10/9)]] and a stack of three [[28/27\|septimal third tones (28/27)]], therefore interesting to those who work extensively with third tones. It is also the difference between [[245/243]] and [[225/224]], the two simplest commas to define the 7-limit [[magic]] temperament~~. Tempering it out leads to the [[hemimage family]] of temperaments~~.		The '''hemimage''', '''10976/10935''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 6.5 [[cent]]s. It marks the difference between a [[16/15\|classic diatonic semitone (16/15)]] and a stack of three [[9/7\|septimal major thirds (9/7)]] octave reduced, or between a [[10/9\|classic whole tone (10/9)]] and a stack of three [[28/27\|septimal third tones (28/27)]], therefore interesting to those who work extensively with third tones. It is also the difference between [[245/243]] and [[225/224]], the two simplest commas to define the 7-limit [[magic]] temperament.

	== ~~See also~~ ==		== Temperaments ==
	* [[Hemimage family]]		Tempering out this comma alone in the 7-limit leads to the rank-3 [[hemimage]] temperament. See [[Hemimage family]] for the rank-3 family where it is tempered out. See [[Hemimage temperaments]] for a collection of rank-2 temperaments where it is tempered out.
	* [[Hemimage temperaments]]
	* [[~~Small~~ comma]]		== Etymology ==
			This comma was first named as ''parahemfi'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[parakleismic]]'' and ''[[hemififths]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''hemimage'', but the root of ''hemimage'' is obvious, being a contraction of ''hemififths'' and ''[[magic]]''.

			== Notes ==

	[[Category:Hemimage]]		[[Category:Hemimage]]

TallKite at 03:11, 29 December 2022

2022-12-29T03:11:40Z

← Older revision		Revision as of 03:11, 29 December 2022
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	\| Ratio = 10976/10935		\| Ratio = 10976/10935
	\| Name = hemimage		\| Name = hemimage
	\| Color ~~Name~~ = sz<sup>3</sup>g3, Satrizo-agu comma		\| Color name = sz<sup>3</sup>g3, Satrizo-agu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

TallKite at 03:09, 29 December 2022

2022-12-29T03:09:43Z

← Older revision		Revision as of 03:09, 29 December 2022
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	\| Ratio = 10976/10935		\| Ratio = 10976/10935
	\| Name = hemimage		\| Name = hemimage
			\| Color Name = sz<sup>3</sup>g3, Satrizo-agu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:39:10Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:39, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 10976/10935		\| Ratio = 10976/10935
	~~\| Monzo = 5 -7 -1 3~~
	~~\| Cents = 6.47900~~
	\| Name = hemimage		\| Name = hemimage
	\| ~~Color name =~~		\| Comma = yes
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}

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	* [[Small comma]]		* [[Small comma]]

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

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

2022-03-20T21:59:59Z

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]]
	[[Category:Hemimage]]		[[Category:Hemimage]]

FloraC: Created page with "{{Infobox Interval | Icon = | Ratio = 10976/10935 | Monzo = 5 -7 -1 3 | Cents = 6.47900 | Name = hemimage | Color name = | FJS name = | Sound = }} The '''hemimage''', '''..."

2020-11-27T14:12:56Z

Created page with "{{Infobox Interval | Icon = | Ratio = 10976/10935 | Monzo = 5 -7 -1 3 | Cents = 6.47900 | Name = hemimage | Color name = | FJS name = | Sound = }} The '''hemimage''', '''..."

New page

{{Infobox Interval
| Icon =
| Ratio = 10976/10935
| Monzo = 5 -7 -1 3
| Cents = 6.47900
| Name = hemimage
| Color name =
| FJS name =
| Sound =
}}

The '''hemimage''', '''10976/10935''', is a [[7-limit]] [[comma]] measuring about 6.5 [[cent]]s. It marks the difference between a [[16/15|classic diatonic semitone (16/15)]] and a stack of three [[9/7|septimal major thirds (9/7)]] octave reduced, or between a [[10/9|classic whole tone (10/9)]] and a stack of three [[28/27|septimal third tones (28/27)]], therefore interesting to those who work extensively with third tones. It is also the difference between [[245/243]] and [[225/224]], the two simplest commas to define the 7-limit [[magic]] temperament. Tempering it out leads to the [[hemimage family]] of temperaments.

== See also ==
* [[Hemimage family]]
* [[Hemimage temperaments]]
* [[Small comma]]

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