54:64:81 - Revision history

TallKite: remove off-topic content

2025-10-30T01:28:15Z

remove off-topic content

← Older revision		Revision as of 01:28, 30 October 2025
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	{{Infobox Chord\|ColorName=wa or w}}		{{Infobox Chord\|ColorName=wa or w}}
	'''54:64:81''', ~~is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to~~ as the '''Pythagorean minor triad''', ~~and, unlike [[10:12:15]], 54:64:81~~ is ~~[[ambitonal]].~~		'''54:64:81''', also known as the '''Pythagorean minor triad''', is a just 3-limit [[minor triad]]. Its third differs from the third of the much simpler 5-limit minor triad [[10:12:15]] by only the [[81/80]] comma.

	~~In [[meantone]] this chord is [[tempered together]] with both 10:12:15 and [[27:32:40]], so it may be considered~~ a 3-limit ~~approximation of those chords, or a chord in its own right with a less-stable third. Accordingly,~~ [[~~User:Aura\|Aura~~]] ~~takes advantage~~ of ~~these properties in his non-meantone [[~~5-limit~~]] music where it shows up as the~~ triad ~~built on the ii degree in Ionian mode in place of 27~~:32:~~40, thus allowing it to be more reliably used in~~ the ~~major scale's~~ [[~~Wikipedia: Circle progression\|circle progression~~]]~~, while also cutting back on tonal ambiguity~~.

	[[Category:Minor triads\|##]] <!-- 2-digit first number -->		[[Category:Minor triads\|##]] <!-- 2-digit first number -->

Aura at 17:08, 25 October 2025

2025-10-25T17:08:21Z

← Older revision		Revision as of 17:08, 25 October 2025
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	{{Infobox Chord\|ColorName=wa or w}}		{{Infobox Chord\|ColorName=wa or w}}
	'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]].		'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to as the '''Pythagorean minor triad''', and, unlike [[10:12:15]], 54:64:81 is [[ambitonal]].

	In [[meantone]] this chord is [[tempered together]] with both [[10:12:15]] and [[27:32:40]], so it may be considered a 3-limit approximation of those chords, or a chord in its own right with a less-stable third. ~~Unlike 10~~:12:15, ~~54:64:81 is~~ [[~~ambitonal~~]].		In [[meantone]] this chord is [[tempered together]] with both 10:12:15 and [[27:32:40]], so it may be considered a 3-limit approximation of those chords, or a chord in its own right with a less-stable third. Accordingly, [[User:Aura\|Aura]] takes advantage of these properties in his non-meantone [[5-limit]] music where it shows up as the triad built on the ii degree in Ionian mode in place of 27:32:40, thus allowing it to be more reliably used in the major scale's [[Wikipedia: Circle progression\|circle progression]], while also cutting back on tonal ambiguity.

	[[Category:Minor triads\|##]] <!-- 2-digit first number -->		[[Category:Minor triads\|##]] <!-- 2-digit first number -->

TallKite: add color name

2024-09-24T02:34:50Z

add color name

← Older revision		Revision as of 02:34, 24 September 2024
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	{{Infobox Chord}}		{{Infobox Chord\|ColorName=wa or w}}
	'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]].		'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]].

Bcmills: clarify relationship to 5-limit chords (specifically, via meantone)

2024-08-31T03:14:08Z

clarify relationship to 5-limit chords (specifically, via meantone)

← Older revision		Revision as of 03:14, 31 August 2024
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	'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]].		'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]].

	~~It may be considered a 3-limit approximation of~~ [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].		In [[meantone]] this chord is [[tempered together]] with both [[10:12:15]] and [[27:32:40]], so it may be considered a 3-limit approximation of those chords, or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].

	[[Category:Minor triads\|##]] <!-- 2-digit first number -->		[[Category:Minor triads\|##]] <!-- 2-digit first number -->

Bcmills: Undo revision 152844 by CompactStar (talk) — consensus in Discord discussion seems to be to remove “Name” from the infobox and replace with a (non-unique) “Category” or “Form”.

2024-08-28T04:08:22Z

Undo revision 152844 by CompactStar (talk) — consensus in Discord discussion seems to be to remove “Name” from the infobox and replace with a (non-unique) “Category” or “Form”.

← Older revision		Revision as of 04:08, 28 August 2024
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	{{Infobox Chord~~\|Name=Pythagorean minor triad~~}}		{{Infobox Chord}}
	'''54:64:81'~~'', the ''Pythagorean minor triad~~'', is a ~~3-limit~~ [[minor]] ~~chord~~ found on the ii, iii, and vi of the ~~Pythagorean~~ [[5L 2s\|diatonic scale]]		'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]].

	It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].		It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].

	[[Category:Minor triads\|##]] <!-- 2-digit first number -->		[[Category:Minor triads\|##]] <!-- 2-digit first number -->

CompactStar: I don't believe there was a consensus on removing chord names.

2024-08-28T03:24:04Z

I don't believe there was a consensus on removing chord names.

← Older revision		Revision as of 03:24, 28 August 2024
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	{{Infobox Chord}}		{{Infobox Chord\|Name=Pythagorean minor triad}}
	'''54:64:81''', is a [[minor ~~triad~~]] found on the ii, iii, and vi of the ~~[[3-limit]]~~ [[5L 2s\|diatonic scale]].		'''54:64:81''', the ''Pythagorean minor triad'', is a 3-limit [[minor]] chord found on the ii, iii, and vi of the Pythagorean [[5L 2s\|diatonic scale]]

	It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].		It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].

	[[Category:Minor triads\|##]] <!-- 2-digit first number -->		[[Category:Minor triads\|##]] <!-- 2-digit first number -->

Bcmills: remove Pythagorean jargon

2024-08-28T03:23:14Z

remove Pythagorean jargon

← Older revision		Revision as of 03:23, 28 August 2024
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	{{Infobox Chord~~\|Name=Pythagorean minor triad~~}}		{{Infobox Chord}}
	'''54:64:81'~~'', the ''Pythagorean minor triad~~'', is a ~~3-limit~~ [[minor]] ~~chord~~ found on the ii, iii, and vi of the ~~Pythagorean~~ [[5L 2s\|diatonic scale]]		'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]].

	It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].		It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].

	[[Category:Minor triads\|##]] <!-- 2-digit first number -->		[[Category:Minor triads\|##]] <!-- 2-digit first number -->

Bcmills at 20:05, 19 August 2024

2024-08-19T20:05:35Z

← Older revision		Revision as of 20:05, 19 August 2024
Line 4:		Line 4:
	It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].		It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].

	[[Category:Minor triads]]		[[Category:Minor triads\|##]] <!-- 2-digit first number -->

Bcmills at 03:26, 18 August 2024

2024-08-18T03:26:58Z

← Older revision		Revision as of 03:26, 18 August 2024
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	{{Infobox Chord}}		{{Infobox Chord\|Name=Pythagorean minor triad}}
	~~{{stub}}~~		'''54:64:81''', the ''Pythagorean minor triad'', is a 3-limit [[minor]] chord found on the ii, iii, and vi of the Pythagorean [[5L 2s\|diatonic scale]]

			It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].

	[[Category:Minor triads]]		[[Category:Minor triads]]

Bcmills at 03:17, 18 August 2024

2024-08-18T03:17:43Z

← Older revision		Revision as of 03:17, 18 August 2024
Line 1:		Line 1:
	{{Infobox Chord}}		{{Infobox Chord}}
	{{stub}}		{{stub}}
			[[Category:Minor triads]]

← Older revision		Revision as of 01:28, 30 October 2025
Line 1:		Line 1:
	{{Infobox Chord\|ColorName=wa or w}}		{{Infobox Chord\|ColorName=wa or w}}
	'''54:64:81''', ~~is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to~~ as the '''Pythagorean minor triad''', ~~and, unlike [[10:12:15]], 54:64:81~~ is ~~[[ambitonal]].~~		'''54:64:81''', also known as the '''Pythagorean minor triad''', is a just 3-limit [[minor triad]]. Its third differs from the third of the much simpler 5-limit minor triad [[10:12:15]] by only the [[81/80]] comma.

	~~In [[meantone]] this chord is [[tempered together]] with both 10:12:15 and [[27:32:40]], so it may be considered~~ a 3-limit ~~approximation of those chords, or a chord in its own right with a less-stable third. Accordingly,~~ [[~~User:Aura\|Aura~~]] ~~takes advantage~~ of ~~these properties in his non-meantone [[~~5-limit~~]] music where it shows up as the~~ triad ~~built on the ii degree in Ionian mode in place of 27~~:32:~~40, thus allowing it to be more reliably used in~~ the ~~major scale's~~ [[~~Wikipedia: Circle progression\|circle progression~~]]~~, while also cutting back on tonal ambiguity~~.

	[[Category:Minor triads\|##]] <!-- 2-digit first number -->		[[Category:Minor triads\|##]] <!-- 2-digit first number -->

← Older revision		Revision as of 17:08, 25 October 2025
Line 1:		Line 1:
	{{Infobox Chord\|ColorName=wa or w}}		{{Infobox Chord\|ColorName=wa or w}}
	'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]].		'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to as the '''Pythagorean minor triad''', and, unlike [[10:12:15]], 54:64:81 is [[ambitonal]].

	In [[meantone]] this chord is [[tempered together]] with both [[10:12:15]] and [[27:32:40]], so it may be considered a 3-limit approximation of those chords, or a chord in its own right with a less-stable third. ~~Unlike 10~~:12:15, ~~54:64:81 is~~ [[~~ambitonal~~]].		In [[meantone]] this chord is [[tempered together]] with both 10:12:15 and [[27:32:40]], so it may be considered a 3-limit approximation of those chords, or a chord in its own right with a less-stable third. Accordingly, [[User:Aura\|Aura]] takes advantage of these properties in his non-meantone [[5-limit]] music where it shows up as the triad built on the ii degree in Ionian mode in place of 27:32:40, thus allowing it to be more reliably used in the major scale's [[Wikipedia: Circle progression\|circle progression]], while also cutting back on tonal ambiguity.

	[[Category:Minor triads\|##]] <!-- 2-digit first number -->		[[Category:Minor triads\|##]] <!-- 2-digit first number -->