81/64 - Revision history

Overthink: /* See also */ "a chord where it is the first step" isn't notable enough; there are many

2025-12-27T10:56:10Z

See also: "a chord where it is the first step" isn't notable enough; there are many

← Older revision		Revision as of 10:56, 27 December 2025
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	* [[128/81]] – its [[octave complement]]		* [[128/81]] – its [[octave complement]]
	* [[32/27]] – its [[fifth complement]]		* [[32/27]] – its [[fifth complement]]
	* [[64:81:96:108]] – a chord where it is the first step
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Pythagorean tuning]]		* [[Pythagorean tuning]]

FloraC: Undo revision 211128 by M1k1 H2tsun2 (talk)

2025-09-27T11:48:34Z

Undo revision 211128 by M1k1 H2tsun2 (talk)

← Older revision		Revision as of 11:48, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~Threerish major third,~~ Pythagorean major third, ditone		\| Name = Pythagorean major third, ditone
	\| Color name = Lw3, lawa 3rd		\| Color name = Lw3, lawa 3rd
	\| Sound = jid_81_64_pluck_adu_dr220.mp3		\| Sound = jid_81_64_pluck_adu_dr220.mp3

M1k1 H2tsun2: add it in the first, rather than the other place.

2025-09-27T10:42:59Z

add it in the first, rather than the other place.

← Older revision		Revision as of 10:42, 27 September 2025
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean major third, ditone		\| Name = Threerish major third, Pythagorean major third, ditone
	\| Color name = Lw3, lawa 3rd		\| Color name = Lw3, lawa 3rd
	\| Sound = jid_81_64_pluck_adu_dr220.mp3		\| Sound = jid_81_64_pluck_adu_dr220.mp3

FloraC: Cleanup and restore some information

2025-04-16T14:26:03Z

Cleanup and restore some information

← Older revision		Revision as of 14:26, 16 April 2025
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	}}		}}
	{{Wikipedia\|Ditone}}		{{Wikipedia\|Ditone}}
	The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]~~—with~~ which it is conflated in [[meantone]]~~—this~~ interval is a bit more discordant, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.		The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more discordant on its own, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.

	== See also ==		== See also ==
	* [[128/81]] ~~— Its~~ [[octave complement]]		* [[128/81]] – its [[octave complement]]
	* [[32/27]] ~~– Its~~ [[fifth complement]]		* [[32/27]] – its [[fifth complement]]
	* [[64:81:96:108]] ~~– A~~ chord where it is the first step		* [[64:81:96:108]] – a chord where it is the first step
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Pythagorean tuning]]		* [[Pythagorean tuning]]

VectorGraphics at 08:39, 16 April 2025

2025-04-16T08:39:43Z

← Older revision		Revision as of 08:39, 16 April 2025
Line 5:		Line 5:
	}}		}}
	{{Wikipedia\|Ditone}}		{{Wikipedia\|Ditone}}
	The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more ~~dissonant when not bridged by a stack of 3/2 intervals within in a chord~~, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.		The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more discordant, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.

	== See also ==		== See also ==

BudjarnLambeth: Change/remove expand/stub in accordance with XW:IntTodo

2025-01-03T07:58:02Z

Change/remove expand/stub in accordance with XW:IntTodo

← Older revision		Revision as of 07:58, 3 January 2025
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	[[Category:Third]]		[[Category:Third]]
	[[Category:Major third]]		[[Category:Major third]]
	~~{{todo\|expand}}~~

BudjarnLambeth: /* See also */ add link to orphaned page

2024-12-04T06:24:30Z

CompactStar at 23:59, 23 June 2024

2024-06-23T23:59:16Z

← Older revision		Revision as of 23:59, 23 June 2024
Line 5:		Line 5:
	}}		}}
	{{Wikipedia\|Ditone}}		{{Wikipedia\|Ditone}}
	The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more dissonant when not bridged by a stack of 3/2 intervals within in a chord, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.		The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more dissonant when not bridged by a stack of 3/2 intervals within in a chord, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.

	== See also ==		== See also ==

Cmloegcmluin at 21:31, 23 June 2024

2024-06-23T21:31:08Z

← Older revision		Revision as of 21:31, 23 June 2024
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean major third		\| Name = Pythagorean major third, ditone
	\| Color name = Lw3, lawa 3rd		\| Color name = Lw3, lawa 3rd
	\| Sound = jid_81_64_pluck_adu_dr220.mp3		\| Sound = jid_81_64_pluck_adu_dr220.mp3
	}}		}}
	{{Wikipedia\|Ditone}}		{{Wikipedia\|Ditone}}
	The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more dissonant when not bridged by a stack of 3/2 intervals within in a chord, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.		The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more dissonant when not bridged by a stack of 3/2 intervals within in a chord, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.

	== See also ==		== See also ==

ArrowHead294 at 21:51, 23 May 2024

2024-05-23T21:51:23Z

← Older revision		Revision as of 21:51, 23 May 2024
Line 5:		Line 5:
	}}		}}
	{{Wikipedia\|Ditone}}		{{Wikipedia\|Ditone}}
	The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. In contrast to the more typical [[5/4]]{{mdash}}with which it is conflated in [[meantone]]{{mdash}}this interval is a bit more dissonant when not bridged by a stack of 3/2 intervals within in a chord, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.		The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more dissonant when not bridged by a stack of 3/2 intervals within in a chord, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.

	== See also ==		== See also ==
	* [[128/81]] – Its [[octave complement]]		* [[128/81]] — Its [[octave complement]]
	* [[32/27]] – Its [[fifth complement]]		* [[32/27]] – Its [[fifth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Pythagorean tuning]]		* [[Pythagorean tuning]]

← Older revision		Revision as of 06:24, 4 December 2024
Line 10:		Line 10:
	* [[128/81]] — Its [[octave complement]]		* [[128/81]] — Its [[octave complement]]
	* [[32/27]] – Its [[fifth complement]]		* [[32/27]] – Its [[fifth complement]]
			* [[64:81:96:108]] – A chord where it is the first step
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Pythagorean tuning]]		* [[Pythagorean tuning]]