245/242 - Revision history

FloraC: Style

2026-03-13T11:00:50Z

Style

← Older revision		Revision as of 11:00, 13 March 2026
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	'''245/242''', the '''frostma''', is a [[small comma\|small]] [[11-limit]] [[comma]] measuring about 21.3 [[cent]]s. It is the amount by which [[5/2]] exceeds a stack of two [[11/7]]'s.		'''245/242''', the '''frostma''', is a [[small comma\|small]] [[11-limit]] [[comma]] measuring about 21.3 [[cent]]s. It is the amount by which [[5/2]] exceeds a stack of two [[11/7]]'s.

	It can be factored into ([[243/242]])([[245/243]]) and ([[896/891]])([[2835/2816]]).		It can be factored into ([[243/242]])⋅([[245/243]]) and ([[896/891]])⋅([[2835/2816]]).

	== Temperaments ==		== Temperaments ==
	Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic ~~temperament~~''' (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), or in the 2.5.7.11 subgroup, the rank-3 '''frost''' temperament. In either case, a stack of two 11/7's is equated with a 5/2 major tenth, enabling [[frostmic chords]]. It is also used in the construction of the [[No-threes subgroup temperaments #Frostburn\|frostburn]] temperament.		[[Tempering out]] this comma alone in the 11-limit results in the rank-4 '''frostmic''' temperament (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), or in the 2.5.7.11 subgroup, the rank-3 '''frost''' temperament. In either case, a stack of two 11/7's is equated with a 5/2 major tenth, enabling [[frostmic chords]]. It is also used in the construction of the [[No-threes subgroup temperaments #Frostburn\|frostburn]] temperament.

	== Etymology ==		== Etymology ==

FloraC: Make frost explicit

2025-10-20T13:23:35Z

Make frost explicit

← Older revision		Revision as of 13:23, 20 October 2025
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic temperament''' (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), ~~where~~ a stack of two 11/7's is equated with a 5/2 major tenth, enabling [[frostmic chords]]. It is also used in the construction of the [[No-threes subgroup temperaments #Frostburn\|frostburn]] temperament.		Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic temperament''' (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), or in the 2.5.7.11 subgroup, the rank-3 '''frost''' temperament. In either case, a stack of two 11/7's is equated with a 5/2 major tenth, enabling [[frostmic chords]]. It is also used in the construction of the [[No-threes subgroup temperaments #Frostburn\|frostburn]] temperament.

	== Etymology ==		== Etymology ==

FloraC: Cleanup and expand with its simplest pump

2025-09-27T13:57:31Z

Cleanup and expand with its simplest pump

← Older revision		Revision as of 13:57, 27 September 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	~~The~~ '''frostma''' ~~([[ratio]]: 245/242~~, ~~[[monzo]]: {{monzo\| -1 0 1 2 -2 }})~~ is a [[small comma\|small]] [[11-limit]] [[comma]] ~~used in~~ the ~~construction~~ of ~~the~~ [[~~No-threes subgroup temperaments #Frostburn\|frostburn~~]] ~~temperament~~.		'''245/242''', the '''frostma''', is a [[small comma\|small]] [[11-limit]] [[comma]] measuring about 21.3 [[cent]]s. It is the amount by which [[5/2]] exceeds a stack of two [[11/7]]'s.

	It can be factored into ([[243/242]])([[245/243]]) and ([[896/891]])([[2835/2816]]).		It can be factored into ([[243/242]])([[245/243]]) and ([[896/891]])([[2835/2816]]).

	== Temperaments ==		== Temperaments ==
	Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic temperament''' (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), where a stack of two [[11/7]]'s is equated with a [[5/2]] major tenth, enabling [[frostmic chords]].		Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic temperament''' (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), where a stack of two 11/7's is equated with a 5/2 major tenth, enabling [[frostmic chords]]. It is also used in the construction of the [[No-threes subgroup temperaments #Frostburn\|frostburn]] temperament.

	== Etymology ==		== Etymology ==

Tristanbay: Added extra factor pair

2024-12-05T17:00:23Z

Added extra factor pair

← Older revision		Revision as of 17:00, 5 December 2024
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	The '''frostma''' ([[ratio]]: 245/242, [[monzo]]: {{monzo\| -1 0 1 2 -2 }}) is a [[small comma\|small]] [[11-limit]] [[comma]] used in the construction of the [[No-threes subgroup temperaments #Frostburn\|frostburn]] temperament.		The '''frostma''' ([[ratio]]: 245/242, [[monzo]]: {{monzo\| -1 0 1 2 -2 }}) is a [[small comma\|small]] [[11-limit]] [[comma]] used in the construction of the [[No-threes subgroup temperaments #Frostburn\|frostburn]] temperament.

	It can be factored into ([[243/242]])([[245/243]]).		It can be factored into ([[243/242]])([[245/243]]) and ([[896/891]])([[2835/2816]]).

	== Temperaments ==		== Temperaments ==

BudjarnLambeth at 02:03, 4 November 2024

2024-11-04T02:03:19Z

← Older revision		Revision as of 02:03, 4 November 2024
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	[[Category:Frostmic]]		[[Category:Frostmic]]
	[[Category:Commas named after composers]]		[[Category:Commas named after composers]]
	[[Category:Commas named after theorists]]		[[Category:Commas named after music theorists]]

BudjarnLambeth at 02:03, 4 November 2024

2024-11-04T02:03:08Z

← Older revision		Revision as of 02:03, 4 November 2024
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	[[Category:Frostmic]]		[[Category:Frostmic]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after composers]]
			[[Category:Commas named after theorists]]

BudjarnLambeth at 13:14, 3 November 2024

2024-11-03T13:14:37Z

← Older revision		Revision as of 13:14, 3 November 2024
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	[[Category:Frostmic]]		[[Category:Frostmic]]
			[[Category:Commas named after individuals]]

FloraC: +link to the temperament data

2024-10-12T09:22:06Z

+link to the temperament data

← Older revision		Revision as of 09:22, 12 October 2024
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic temperament''', where a stack of two [[11/7]]'s is equated with a [[5/2]] major tenth, enabling [[frostmic chords]].		Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic temperament''' (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), where a stack of two [[11/7]]'s is equated with a [[5/2]] major tenth, enabling [[frostmic chords]].

	== Etymology ==		== Etymology ==

FloraC: Rework

2024-01-08T07:11:45Z

Rework

← Older revision		Revision as of 07:11, 8 January 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''frostma''' ([[ratio]]: 245/242, [[monzo]]: {{monzo\| -1 0 1 2 -2 }}) is a [[small comma\|small]] [[11-limit]] [[comma~~]] named after [[User:Frostburn\|Frostburn~~]] used in the construction of the [[No-threes subgroup temperaments #Frostburn\|frostburn]] temperament.		The '''frostma''' ([[ratio]]: 245/242, [[monzo]]: {{monzo\| -1 0 1 2 -2 }}) is a [[small comma\|small]] [[11-limit]] [[comma]] used in the construction of the [[No-threes subgroup temperaments #Frostburn\|frostburn]] temperament.

	It can be factored into ([[243/242]])([[245/243]]).		It can be factored into ([[243/242]])([[245/243]]).

	~~When tempered~~ out, ~~it equates~~ a stack of two [[11/7]]~~<nowiki/>~~s with a [[5/2]] major tenth.		== Temperaments ==
			Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic temperament''', where a stack of two [[11/7]]'s is equated with a [[5/2]] major tenth, enabling [[frostmic chords]].

	== ~~History~~ ==		== Etymology ==
	Before ~~the comma~~ got the name ''frostma'', it was known as the ''cassacot'', probably derived from [[cassandra]] and [[tetracot]]. However, ''cassandra'' was a misnomer for [[andromeda]]. The temperament's name was later corrected. Since then, ''cassacot'' has lost its root, thus justifying the new name.		This comma was named after [[User:Frostburn\|Frostburn]] in 2022. Before it got the name ''frostma'', it was known as the ''cassacot'', probably derived from [[cassandra]] and [[tetracot]]. However, ''cassandra'' was a misnomer for [[andromeda]]. The temperament's name was later corrected. Since then, ''cassacot'' has lost its root, thus justifying the new name.

	~~=== Quotes ===~~		<blockquote>
	~~''"~~245/242 should be the frostma because 243/242 is the rastma…~~"''~~ —[[Praveen Venkataramana]]		245/242 should be the frostma because 243/242 is the rastma…
			</blockquote>
	~~== See also ==~~		—[[Praveen Venkataramana]]
	* [[Small comma]]

	[[Category:Frostmic]]		[[Category:Frostmic]]

Francium: Added color name

2023-09-07T15:48:25Z

Added color name

← Older revision		Revision as of 15:48, 7 September 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = frostma		\| Name = frostma
			\| Color name = luuzzy2, luluzozoyo 2nd
	\| Comma = yes		\| Comma = yes
	}}		}}