875/864 - Revision history

FloraC: Temp rename followup

2025-10-12T10:53:28Z

Temp rename followup

← Older revision		Revision as of 10:53, 12 October 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}

	'''875/864''', the '''keema''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 21.9 [[cent]]s. It marks the difference between the [[7/4\|septimal minor seventh (7/4)]] and a stack of three [[6/5\|just minor thirds (6/5)]], or between a [[27/14\|septimal major seventh (27/14)]] and a stack of three [[5/4\|just major thirds (5/4)]]. It is also the sum of [[245/243]] and [[225/224]], the sum of [[100/99]] and [[385/384]], the sum of [[105/104]] and [[325/324]], and the difference between [[49/48]] and [[126/125]].		'''875/864''', the '''keema''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 21.9 [[cent]]s. It marks the difference between the [[7/4\|septimal minor seventh (7/4)]] and a stack of three [[6/5\|just minor thirds (6/5)]], or between a [[27/14\|septimal major seventh (27/14)]] and a stack of three [[5/4\|just major thirds (5/4)]]. It is also the sum of [[245/243]] and [[225/224]], the sum of [[100/99]] and [[385/384]], the sum of [[105/104]] and [[325/324]], and the difference between [[49/48]] and [[126/125]].

	== Temperaments ==		== Temperaments ==
	Tempering out the keema is an important way that septimal harmony is organized in [[~~EDO~~]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] ~~- 6~~/~~5 - 5~~/~~4 -~~ [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third, [[49/40]], into this equidistance). ~~EDOs~~ with this structure include {{EDOs\|15, 19, 22, 26, and 41}} (though 15edo tunes 9/7 very poorly).		[[Tempering out]] the keema is an important way that septimal harmony is organized in [[edo]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]]–6/5–5/4–[[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third, [[49/40]], into this equidistance). Edos with this structure include {{EDOs\| 15, 19, 22, 26, and 41 }} (though 15edo tunes 9/7 very poorly).

	Tempering it out alone in the 7-limit leads to the [[~~supermagic~~]] rank-3 temperament, whose extensions form the rank-3 [[keemic family]], enabling [[keemic chords]]. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.		Tempering it out alone in the 7-limit leads to the [[keemic]] rank-3 temperament, whose extensions form the rank-3 [[keemic family]], enabling [[keemic chords]]. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==

Neutraldown: /* Temperaments */

2025-10-10T01:41:17Z

Temperaments

← Older revision		Revision as of 01:41, 10 October 2025
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	Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third, [[49/40]], into this equidistance). EDOs with this structure include {{EDOs\|15, 19, 22, 26, and 41}} (though 15edo tunes 9/7 very poorly).		Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third, [[49/40]], into this equidistance). EDOs with this structure include {{EDOs\|15, 19, 22, 26, and 41}} (though 15edo tunes 9/7 very poorly).

	Tempering it out alone in the 7-limit leads to the [[supermagic]] rank-3 temperament, whose extensions form the rank-3 [[keemic family]], enabling [[keemic chords]].See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.		Tempering it out alone in the 7-limit leads to the [[supermagic]] rank-3 temperament, whose extensions form the rank-3 [[keemic family]], enabling [[keemic chords]]. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==

Neutraldown at 01:33, 10 October 2025

2025-10-10T01:33:32Z

← Older revision		Revision as of 01:33, 10 October 2025
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	Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third, [[49/40]], into this equidistance). EDOs with this structure include {{EDOs\|15, 19, 22, 26, and 41}} (though 15edo tunes 9/7 very poorly).		Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third, [[49/40]], into this equidistance). EDOs with this structure include {{EDOs\|15, 19, 22, 26, and 41}} (though 15edo tunes 9/7 very poorly).

	Tempering it out alone in the 7-limit leads to the [[supermagic]] rank-3 temperament, whose extensions form the rank-3 [[keemic family]]. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.		Tempering it out alone in the 7-limit leads to the [[supermagic]] rank-3 temperament, whose extensions form the rank-3 [[keemic family]], enabling [[keemic chords]].See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==

Lériendil at 06:08, 6 August 2025

2025-08-06T06:08:38Z

← Older revision		Revision as of 06:08, 6 August 2025
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	== Temperaments ==		== Temperaments ==
	Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third into this equidistance). EDOs with this structure include 15, 19, 22, and 26 (though 15 tunes 9/7 very poorly).		Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third, [[49/40]], into this equidistance). EDOs with this structure include {{EDOs\|15, 19, 22, 26, and 41}} (though 15edo tunes 9/7 very poorly).

	Tempering it out leads to the [[supermagic]] temperament~~. See~~ [[~~Keemic~~ family]] ~~for the rank-3 temperament family where it is tempered out~~. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.		Tempering it out alone in the 7-limit leads to the [[supermagic]] rank-3 temperament, whose extensions form the rank-3 [[keemic family]]. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==

Lériendil at 03:16, 2 June 2025

2025-06-02T03:16:32Z

← Older revision		Revision as of 03:16, 2 June 2025
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	== Temperaments ==		== Temperaments ==
	Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third into this equidistance). EDOs with this structure include 15, 19, and 22 (though 15 tunes 9/7 very poorly).		Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third into this equidistance). EDOs with this structure include 15, 19, 22, and 26 (though 15 tunes 9/7 very poorly).

	Tempering it out leads to the [[supermagic]] temperament. See [[Keemic family]] for the rank-3 temperament family where it is tempered out. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.		Tempering it out leads to the [[supermagic]] temperament. See [[Keemic family]] for the rank-3 temperament family where it is tempered out. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

Lériendil: moved third-spectrum stuff to here

2025-06-02T02:32:45Z

moved third-spectrum stuff to here

← Older revision		Revision as of 02:32, 2 June 2025
Line 8:		Line 8:

	== Temperaments ==		== Temperaments ==
			Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third into this equidistance). EDOs with this structure include 15, 19, and 22 (though 15 tunes 9/7 very poorly).

	Tempering it out leads to the [[supermagic]] temperament. See [[Keemic family]] for the rank-3 temperament family where it is tempered out. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.		Tempering it out leads to the [[supermagic]] temperament. See [[Keemic family]] for the rank-3 temperament family where it is tempered out. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

BudjarnLambeth at 02:20, 4 November 2024

2024-11-04T02:20:07Z

← Older revision		Revision as of 02:20, 4 November 2024
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	[[Category:Keemic]]		[[Category:Keemic]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after music theorists]]

BudjarnLambeth at 09:31, 3 November 2024

2024-11-03T09:31:44Z

← Older revision		Revision as of 09:31, 3 November 2024
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	[[Category:Keemic]]		[[Category:Keemic]]
			[[Category:Commas named after individuals]]

FloraC: Expansion

2024-01-02T12:06:58Z

Expansion

← Older revision		Revision as of 12:06, 2 January 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = keema		\| Name = keema
	\| Color name = zy<sup>3</sup>1, zotriyo 1sn,<br>		\| Color name = zy<sup>3</sup>1, zotriyo 1sn, <br>Zotriyo comma
	Zotriyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''875/864''', the '''keema''', is a [[7-limit]] [[comma]] measuring about 21.9 [[cent]]s. It marks the difference between the [[7/4\|septimal minor seventh (7/4)]] and a stack of three [[6/5\|just minor thirds (6/5)]], or between a [[27/14\|septimal major seventh (27/14)]] and a stack of three [[5/4\|just major thirds (5/4)]]. It is also the sum of [[245/243]] and [[225/224]], the sum of [[100/99]] and [[385/384]], the sum of [[105/104]] and [[325/324]] and the difference between [[49/48]] and [[126/125]]~~. Tempering it out leads to the [[keemic family]] of temperaments~~.		'''875/864''', the '''keema''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 21.9 [[cent]]s. It marks the difference between the [[7/4\|septimal minor seventh (7/4)]] and a stack of three [[6/5\|just minor thirds (6/5)]], or between a [[27/14\|septimal major seventh (27/14)]] and a stack of three [[5/4\|just major thirds (5/4)]]. It is also the sum of [[245/243]] and [[225/224]], the sum of [[100/99]] and [[385/384]], the sum of [[105/104]] and [[325/324]], and the difference between [[49/48]] and [[126/125]].

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

			== Notes ==

	[[Category:Keemic]]		[[Category:Keemic]]

TallKite at 05:42, 2 July 2023

2023-07-02T05:42:54Z

← Older revision		Revision as of 05:42, 2 July 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = keema		\| Name = keema
	\| Color name = zy<sup>3</sup>1, zotriyo ~~unison~~		\| Color name = zy<sup>3</sup>1, zotriyo 1sn,<br>
			Zotriyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}