User:VectorGraphics/Dilemmic and antidilemmic - Revision history

Lériendil at 14:28, 14 April 2025

2025-04-14T14:28:04Z

← Older revision		Revision as of 14:28, 14 April 2025
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	(Infobox TBD)		(Infobox TBD)

	~~[[Category:Temperaments]]~~

Lériendil: Lériendil moved page Dilemmic and antidilemmic to User:VectorGraphics/Dilemmic and antidilemmic

2025-04-14T14:27:56Z

Lériendil moved page Dilemmic and antidilemmic to User:VectorGraphics/Dilemmic and antidilemmic

← Older revision	Revision as of 14:27, 14 April 2025
(No difference)

VectorGraphics: tried adding Leri-sama's infobox and failed cuz it didn't work.

2024-10-21T06:08:50Z

tried adding Leri-sama's infobox and failed cuz it didn't work.

← Older revision		Revision as of 06:08, 21 October 2024
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	'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of closing the circle of [[7/4]]<nowiki/>s in [[13edo]], corresponding to the two 13edo intervals, 10\13 and 11\13, that 7/4 is pretty much exactly in between. With other [[circular temperament]]s, the [[comma]] is usually significantly smaller than 600c, meaning the circle can only reasonably be closed one way. ~~{{Infobox Regtemp\|TBD=TBD\|Name=Dilemmic}}~~However, the [[96889010407/68719476736\|dilemma]] (and its octave complement the [[137438953472/96889010407\|antidilemma]]) are within 10 cents of sqrt(2), meaning that the difference in accuracy between flattening and sharpening 7/4 is minimal.		'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of closing the circle of [[7/4]]<nowiki/>s in [[13edo]], corresponding to the two 13edo intervals, 10\13 and 11\13, that 7/4 is pretty much exactly in between. With other [[circular temperament]]s, the [[comma]] is usually significantly smaller than 600c, meaning the circle can only reasonably be closed one way. However, the [[96889010407/68719476736\|dilemma]] (and its octave complement the [[137438953472/96889010407\|antidilemma]]) are within 10 cents of sqrt(2), meaning that the difference in accuracy between flattening and sharpening 7/4 is minimal.

	For clarification, '''requiem (dilemmic)''' tempers out the dilemma; and '''tsuchi (antidilemmic)''' tempers out the antidilemma.		For clarification, '''requiem (dilemmic)''' tempers out the dilemma; and '''tsuchi (antidilemmic)''' tempers out the antidilemma.
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	This goes with the trend of circular temperaments of the 7th harmonic being named after elements of that general series of creative works.		This goes with the trend of circular temperaments of the 7th harmonic being named after elements of that general series of creative works.


			(Infobox TBD)

	[[Category:Temperaments]]		[[Category:Temperaments]]

VectorGraphics at 06:03, 21 October 2024

2024-10-21T06:03:19Z

← Older revision		Revision as of 06:03, 21 October 2024
Line 1:		Line 1:
	'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of closing the circle of [[7/4]]<nowiki/>s in [[13edo]], corresponding to the two 13edo intervals, 10\13 and 11\13, that 7/4 is pretty much exactly in between. With other [[circular temperament]]s, the [[comma]] is usually significantly smaller than 600c, meaning the circle can only reasonably be closed one way. However, the [[96889010407/68719476736\|dilemma]] (and its octave complement the [[137438953472/96889010407\|antidilemma]]) are within 10 cents of sqrt(2), meaning that the difference in accuracy between flattening and sharpening 7/4 is minimal.		'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of closing the circle of [[7/4]]<nowiki/>s in [[13edo]], corresponding to the two 13edo intervals, 10\13 and 11\13, that 7/4 is pretty much exactly in between. With other [[circular temperament]]s, the [[comma]] is usually significantly smaller than 600c, meaning the circle can only reasonably be closed one way. {{Infobox Regtemp\|TBD=TBD\|Name=Dilemmic}}However, the [[96889010407/68719476736\|dilemma]] (and its octave complement the [[137438953472/96889010407\|antidilemma]]) are within 10 cents of sqrt(2), meaning that the difference in accuracy between flattening and sharpening 7/4 is minimal.

	For clarification, '''requiem (dilemmic)''' tempers out the dilemma; and '''tsuchi (antidilemmic)''' tempers out the antidilemma.		For clarification, '''requiem (dilemmic)''' tempers out the dilemma; and '''tsuchi (antidilemmic)''' tempers out the antidilemma.

BudjarnLambeth: Various cleanup, add category

2024-10-20T09:48:09Z

Various cleanup, add category

← Older revision		Revision as of 09:48, 20 October 2024
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	'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of ~~[[Circular temperament\|~~closing the circle]] of [[7/4]]<nowiki/>s in [[13edo]], corresponding to the two 13edo intervals, 10\13 and 11\13, that 7/4 is pretty much exactly in between. With other ~~circular~~ [[~~Regular~~ temperament~~\|temperaments~~]], the [[comma]] is usually significantly smaller than 600c, meaning the circle can only reasonably be closed one way. However, the [[96889010407/68719476736\|dilemma]] (and its octave complement the [[137438953472/96889010407\|antidilemma]]) are within 10 cents of sqrt(2), meaning that the difference in accuracy between flattening and sharpening 7/4 is minimal.		'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of closing the circle of [[7/4]]<nowiki/>s in [[13edo]], corresponding to the two 13edo intervals, 10\13 and 11\13, that 7/4 is pretty much exactly in between. With other [[circular temperament]]s, the [[comma]] is usually significantly smaller than 600c, meaning the circle can only reasonably be closed one way. However, the [[96889010407/68719476736\|dilemma]] (and its octave complement the [[137438953472/96889010407\|antidilemma]]) are within 10 cents of sqrt(2), meaning that the difference in accuracy between flattening and sharpening 7/4 is minimal.

	For clarification, '''requiem (dilemmic)''' tempers out the dilemma; and '''tsuchi (antidilemmic)''' tempers out the antidilemma.		For clarification, '''requiem (dilemmic)''' tempers out the dilemma; and '''tsuchi (antidilemmic)''' tempers out the antidilemma.
Line 6:		Line 6:

	This goes with the trend of circular temperaments of the 7th harmonic being named after elements of that general series of creative works.		This goes with the trend of circular temperaments of the 7th harmonic being named after elements of that general series of creative works.

			[[Category:Temperaments]]

VectorGraphics: Created page with "'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of closing the circle of 7/4s in 13..."

2024-10-20T09:31:08Z

Created page with "'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of closing the circle of 7/4<nowiki/>s in 13..."

New page

'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of [[Circular temperament|closing the circle]] of [[7/4]]<nowiki/>s in [[13edo]], corresponding to the two 13edo intervals, 10\13 and 11\13, that 7/4 is pretty much exactly in between. With other circular [[Regular temperament|temperaments]], the [[comma]] is usually significantly smaller than 600c, meaning the circle can only reasonably be closed one way. However, the [[96889010407/68719476736|dilemma]] (and its octave complement the [[137438953472/96889010407|antidilemma]]) are within 10 cents of sqrt(2), meaning that the difference in accuracy between flattening and sharpening 7/4 is minimal.

For clarification, '''requiem (dilemmic)''' tempers out the dilemma; and '''tsuchi (antidilemmic)''' tempers out the antidilemma.

They are named after a poorly-formed moral dilemma in a setting Vector Graphics is aware of, wherein only two sides are presented, associated with the faction "Requiem" and a faction associated with "Tsuchi", and not only are more options available in-universe but the presentation is rather inconsistent with how much agency one actually has in the matter.

This goes with the trend of circular temperaments of the 7th harmonic being named after elements of that general series of creative works.