64:81:96 - Revision history

Overthink: stub

2025-12-25T08:41:50Z

stub

← Older revision		Revision as of 08:41, 25 December 2025
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	'''64:81:96''' is a just 3-limit [[major triad]], also known as the '''Pythagorean major triad'''. Its third differs from the third of the 5-limit major triad [[4:5:6]] by only the [[81/80]] comma. Assuming a harmonic timbre, the 5-limit triad is considerably more consonant.		'''64:81:96''' is a just 3-limit [[major triad]], also known as the '''Pythagorean major triad'''. Its third differs from the third of the 5-limit major triad [[4:5:6]] by only the [[81/80]] comma. Assuming a harmonic timbre, the 5-limit triad is considerably more consonant.

			{{Stub}}
	[[Category:Major triads\|##]] <!-- 2-digit first number -->		[[Category:Major triads\|##]] <!-- 2-digit first number -->

TallKite: remove off-topic content

2025-10-30T01:23:31Z

remove off-topic content

← Older revision		Revision as of 01:23, 30 October 2025
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	{{Infobox Chord\|ColorName=lawa or Lw}}		{{Infobox Chord\|ColorName=lawa or Lw}}
	'''64:81:96''' is a [[major triad]] ~~found on the I~~, ~~IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to~~ as the '''Pythagorean major triad'''~~, and, unlike~~ [[4:5:6]]~~, 54:64:81 is~~ [[~~ambitonal~~]].		'''64:81:96''' is a just 3-limit [[major triad]], also known as the '''Pythagorean major triad'''. Its third differs from the third of the 5-limit major triad [[4:5:6]] by only the [[81/80]] comma. Assuming a harmonic timbre, the 5-limit triad is considerably more consonant.

	~~In [[meantone]] this chord is tempered together with 4:5:6; it may be considered~~ a ~~3-limit approximation of that chord~~, ~~or used in its own right as a chord 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 IV degree in Ionian mode, thus preventing that scale degree from being tonicized by accident and lessening tonal ambiguity in plagal and semiplagal cadences, as well as other chord progressions that use both I and IV.

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

Aura at 17:06, 25 October 2025

2025-10-25T17:06:37Z

← Older revision		Revision as of 17:06, 25 October 2025
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	{{Infobox Chord\|ColorName=lawa or Lw}}		{{Infobox Chord\|ColorName=lawa or Lw}}
	'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to as the '''Pythagorean major triad'''.		'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to as the '''Pythagorean major triad''', and, unlike [[4:5:6]], 54:64:81 is [[ambitonal]].

	In [[meantone]] this chord is tempered together with [[4:5:6]]; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord 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 IV degree in Ionian mode, thus preventing that scale degree from being tonicized by accident and lessening tonal ambiguity in plagal and semiplagal cadences, as well as other chord progressions that use both I and IV.		In [[meantone]] this chord is tempered together with 4:5:6; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord 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 IV degree in Ionian mode, thus preventing that scale degree from being tonicized by accident and lessening tonal ambiguity in plagal and semiplagal cadences, as well as other chord progressions that use both I and IV.

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

Aura: Expanded the article- will have to link articles on tetrads later.

2025-10-25T02:12:56Z

Expanded the article- will have to link articles on tetrads later.

← Older revision		Revision as of 02:12, 25 October 2025
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	{{Infobox Chord\|ColorName=lawa or Lw}}		{{Infobox Chord\|ColorName=lawa or Lw}}
	'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]].		'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to as the '''Pythagorean major triad'''.

	In [[meantone]] this chord is tempered together with [[4:5:6]]; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord with a less stable third.		In [[meantone]] this chord is tempered together with [[4:5:6]]; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord 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 IV degree in Ionian mode, thus preventing that scale degree from being tonicized by accident and lessening tonal ambiguity in plagal and semiplagal cadences, as well as other chord progressions that use both I and IV.

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

TallKite: add color name

2024-09-24T02:43:48Z

add color name

← Older revision		Revision as of 02:43, 24 September 2024
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	{{Infobox Chord}}		{{Infobox Chord\|ColorName=lawa or Lw}}
	'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]].		'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]].

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

2024-08-31T03:18:23Z

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

← Older revision		Revision as of 03:18, 31 August 2024
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	'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]].		'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]].

	It is ~~sometimes used as a 3-limit approximation of~~ [[4:5:6]], ~~but is also~~ used in its own right as a chord with a less stable third.		In [[meantone]] this chord is tempered together with [[4:5:6]]; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord with a less stable third.

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

Bcmills: remove “Pythagorean” jargon

2024-08-28T03:49:52Z

remove “Pythagorean” jargon

← Older revision		Revision as of 03:49, 28 August 2024
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	{{Infobox Chord}}		{{Infobox Chord}}
	'''64:81:96''' is a ~~[[3-limit]]~~ [[major triad]] found on the I, IV, and V of the ~~Pythagorean~~ [[5L 2s\|diatonic scale]].		'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]].

	It is sometimes used as a 3-limit approximation of [[4:5:6]], but is also used in its own right as a chord with a less stable third.		It is sometimes used as a 3-limit approximation of [[4:5:6]], but is also used in its own right as a chord with a less stable third.

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

Bcmills: remove stub; adjust sort order in category

2024-08-19T20:12:41Z

remove stub; adjust sort order in category

← Older revision		Revision as of 20:12, 19 August 2024
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	It is sometimes used as a 3-limit approximation of [[4:5:6]], but is also used in its own right as a chord with a less stable third.		It is sometimes used as a 3-limit approximation of [[4:5:6]], but is also used in its own right as a chord with a less stable third.

	~~{{stub}}~~		[[Category:Major triads\|##]] <!-- 2-digit first number -->

	[[Category:Major triads]]

Bcmills at 02:52, 18 August 2024

2024-08-18T02:52:23Z

← Older revision		Revision as of 02:52, 18 August 2024
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	{{stub}}		{{stub}}

	{{Category:Major triads}}		[[Category:Major triads]]

Bcmills at 02:49, 18 August 2024

2024-08-18T02:49:21Z

← Older revision		Revision as of 02:49, 18 August 2024
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	{{stub}}		{{stub}}

			{{Category:Major triads}}

← Older revision		Revision as of 01:23, 30 October 2025
Line 1:		Line 1:
	{{Infobox Chord\|ColorName=lawa or Lw}}		{{Infobox Chord\|ColorName=lawa or Lw}}
	'''64:81:96''' is a [[major triad]] ~~found on the I~~, ~~IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to~~ as the '''Pythagorean major triad'''~~, and, unlike~~ [[4:5:6]]~~, 54:64:81 is~~ [[~~ambitonal~~]].		'''64:81:96''' is a just 3-limit [[major triad]], also known as the '''Pythagorean major triad'''. Its third differs from the third of the 5-limit major triad [[4:5:6]] by only the [[81/80]] comma. Assuming a harmonic timbre, the 5-limit triad is considerably more consonant.

	~~In [[meantone]] this chord is tempered together with 4:5:6; it may be considered~~ a ~~3-limit approximation of that chord~~, ~~or used in its own right as a chord 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 IV degree in Ionian mode, thus preventing that scale degree from being tonicized by accident and lessening tonal ambiguity in plagal and semiplagal cadences, as well as other chord progressions that use both I and IV.

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

← Older revision		Revision as of 17:06, 25 October 2025
Line 1:		Line 1:
	{{Infobox Chord\|ColorName=lawa or Lw}}		{{Infobox Chord\|ColorName=lawa or Lw}}
	'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to as the '''Pythagorean major triad'''.		'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to as the '''Pythagorean major triad''', and, unlike [[4:5:6]], 54:64:81 is [[ambitonal]].

	In [[meantone]] this chord is tempered together with [[4:5:6]]; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord 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 IV degree in Ionian mode, thus preventing that scale degree from being tonicized by accident and lessening tonal ambiguity in plagal and semiplagal cadences, as well as other chord progressions that use both I and IV.		In [[meantone]] this chord is tempered together with 4:5:6; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord 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 IV degree in Ionian mode, thus preventing that scale degree from being tonicized by accident and lessening tonal ambiguity in plagal and semiplagal cadences, as well as other chord progressions that use both I and IV.

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

← Older revision		Revision as of 02:12, 25 October 2025
Line 1:		Line 1:
	{{Infobox Chord\|ColorName=lawa or Lw}}		{{Infobox Chord\|ColorName=lawa or Lw}}
	'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]].		'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s\|diatonic scale]]. It is easily referred to as the '''Pythagorean major triad'''.

	In [[meantone]] this chord is tempered together with [[4:5:6]]; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord with a less stable third.		In [[meantone]] this chord is tempered together with [[4:5:6]]; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord 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 IV degree in Ionian mode, thus preventing that scale degree from being tonicized by accident and lessening tonal ambiguity in plagal and semiplagal cadences, as well as other chord progressions that use both I and IV.

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