Dilemma - Revision history

FloraC: Mark as novelty

2025-12-02T07:44:34Z

Mark as novelty

← Older revision		Revision as of 07:44, 2 December 2025
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	{{Infobox Interval\|Ratio=96889010407/68719476736\|Comma=Yes\|Name=dilemma, requiem comma, 13-7-comma, 13-fold 7th harmonic }}		{{Novelty}}
			{{Infobox Interval
			\| Ratio = 96889010407/68719476736
			\| Comma = Yes
			\| Name = dilemma, requiem comma, 13-7-comma, 13-fold 7th harmonic
			}}
	'''96889010407/68719476736''', called the '''dilemma''' is a "comma" of almost 600 cents. It forms the amount by which thirteen [[7/4]]<nowiki/>s exceeds ten [[2/1\|octaves]], and may be described as ''13-fold 7th harmonic tritone''. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly halfway between two octaves (it is one of the lowest [[Circular temperament\|circular]] commas to do this).		'''96889010407/68719476736''', called the '''dilemma''' is a "comma" of almost 600 cents. It forms the amount by which thirteen [[7/4]]<nowiki/>s exceeds ten [[2/1\|octaves]], and may be described as ''13-fold 7th harmonic tritone''. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly halfway between two octaves (it is one of the lowest [[Circular temperament\|circular]] commas to do this).

	== Temperaments ==		== Temperaments ==
	Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of thirteen 7/4s to create [[13edo]], where 7/4 is represented by ~~10＼13~~. (If 7/4 is represented by ~~11＼13~~ instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).		Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of thirteen 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).

	== Approximation ==		== Approximation ==

Xenllium at 00:20, 20 April 2025

2025-04-20T00:20:59Z

← Older revision		Revision as of 00:20, 20 April 2025
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	~~''See also: [[137438953472/96889010407\|antidilemma]].''~~{{Infobox Interval\|Ratio=96889010407/68719476736\|Comma=Yes\|Name=dilemma, 7-13 ~~circular comma~~}}		{{Infobox Interval\|Ratio=96889010407/68719476736\|Comma=Yes\|Name=dilemma, requiem comma, 13-7-comma, 13-fold 7th harmonic }}

	'''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost 600 cents. It is the amount by which 13 [[7/4]]<nowiki/>s exceeds 10 [[~~Octave~~\|octaves]]. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (it is one of the lowest [[Circular temperament\|circular]] commas to do this).		'''96889010407/68719476736''', called the '''dilemma''' is a "comma" of almost 600 cents. It forms the amount by which thirteen [[7/4]]<nowiki/>s exceeds ten [[2/1\|octaves]], and may be described as ''13-fold 7th harmonic tritone''. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly halfway between two octaves (it is one of the lowest [[Circular temperament\|circular]] commas to do this).

	== Temperaments ==		== Temperaments ==
	Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by ~~10\13~~. (If 7/4 is represented by ~~11\13~~ instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).		Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of thirteen 7/4s to create [[13edo]], where 7/4 is represented by 10＼13. (If 7/4 is represented by 11＼13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).

	== Approximation ==		== Approximation ==
	Assigning dilemma (as well as antidilemma) to be equal to exactly 600 cents results in the [[26-7-comma]], and arrives at the strong approximation of harmonic 7 by [[26edo]].		Assigning dilemma (as well as antidilemma) to be equal to exactly 600 cents results in the [[26-7-comma]], and arrives at the strong approximation of harmonic 7 by [[26edo]].

			== See also ==
			* [[Antidilemma]] (137438953472/96889010407)

	[[Category:Commas named for other reasons]]		[[Category:Commas named for other reasons]]
			[[Category:Tritone]]

Eliora at 23:40, 13 November 2024

2024-11-13T23:40:46Z

← Older revision		Revision as of 23:40, 13 November 2024
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	Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).		Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).

			== Approximation ==
			Assigning dilemma (as well as antidilemma) to be equal to exactly 600 cents results in the [[26-7-comma]], and arrives at the strong approximation of harmonic 7 by [[26edo]].
	[[Category:Commas named for other reasons]]		[[Category:Commas named for other reasons]]

BudjarnLambeth at 06:46, 3 November 2024

2024-11-03T06:46:20Z

← Older revision		Revision as of 06:46, 3 November 2024
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	== Temperaments ==		== Temperaments ==
	Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).		Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).

			[[Category:Commas named for other reasons]]

BudjarnLambeth: BudjarnLambeth moved page 96889010407/68719476736 to Dilemma: Big comma number

2024-10-20T09:49:19Z

BudjarnLambeth moved page 96889010407/68719476736 to Dilemma: Big comma number

← Older revision	Revision as of 09:49, 20 October 2024
(No difference)

VectorGraphics at 09:37, 20 October 2024

2024-10-20T09:37:22Z

← Older revision		Revision as of 09:37, 20 October 2024
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	''See also: [[137438953472/96889010407\|antidilemma]].''~~https://cdn.jsdelivr.net/gh/twitter/twemoji@14.0.2/assets/svg/2601.svg<nowiki/>~~{{Infobox Interval\|Ratio=96889010407/68719476736\|Comma=Yes\|Name=dilemma, 7-13 circular comma}}		''See also: [[137438953472/96889010407\|antidilemma]].''{{Infobox Interval\|Ratio=96889010407/68719476736\|Comma=Yes\|Name=dilemma, 7-13 circular comma}}

	'''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost 600 cents. It is the amount by which 13 [[7/4]]<nowiki/>s exceeds 10 [[Octave\|octaves]]. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (it is one of the lowest [[Circular temperament\|circular]] commas to do this).		'''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost 600 cents. It is the amount by which 13 [[7/4]]<nowiki/>s exceeds 10 [[Octave\|octaves]]. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (it is one of the lowest [[Circular temperament\|circular]] commas to do this).

VectorGraphics at 09:36, 20 October 2024

2024-10-20T09:36:51Z

← Older revision		Revision as of 09:36, 20 October 2024
Line 1:		Line 1:
	{{Infobox Interval\|Ratio=96889010407/68719476736\|Comma=Yes\|Name=dilemma, 7-13 circular comma}}		''See also: [[137438953472/96889010407\|antidilemma]].''https://cdn.jsdelivr.net/gh/twitter/twemoji@14.0.2/assets/svg/2601.svg<nowiki/>{{Infobox Interval\|Ratio=96889010407/68719476736\|Comma=Yes\|Name=dilemma, 7-13 circular comma}}

	'''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost 600 cents. It is the amount by which 13 [[7/4]]<nowiki/>s exceeds 10 [[Octave\|octaves]]. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (it is one of the lowest [[Circular temperament\|circular]] commas to do this).		'''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost 600 cents. It is the amount by which 13 [[7/4]]<nowiki/>s exceeds 10 [[Octave\|octaves]]. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (it is one of the lowest [[Circular temperament\|circular]] commas to do this).

	== Temperaments ==		== Temperaments ==
	Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).		Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).

VectorGraphics: Created page with "{{Infobox Interval|Ratio=96889010407/68719476736|Comma=Yes|Name=dilemma, 7-13 circular comma}} '''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost..."

2024-10-20T09:19:09Z

Created page with "{{Infobox Interval|Ratio=96889010407/68719476736|Comma=Yes|Name=dilemma, 7-13 circular comma}} '''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost..."

New page

{{Infobox Interval|Ratio=96889010407/68719476736|Comma=Yes|Name=dilemma, 7-13 circular comma}}

'''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost 600 cents. It is the amount by which 13 [[7/4]]<nowiki/>s exceeds 10 [[Octave|octaves]]. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (it is one of the lowest [[Circular temperament|circular]] commas to do this).

== Temperaments ==
Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).