Italian sixth chord - Revision history

FloraC: Note an important practical thing. - unncessary whitespaces

2026-05-23T07:36:06Z

Note an important practical thing. - unncessary whitespaces

← Older revision		Revision as of 07:36, 23 May 2026
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	{{Wikipedia\|Augmented sixth chord #Italian sixth}}		{{Wikipedia\|Augmented sixth chord #Italian sixth}}

	An '''Italian sixth chord''' is a [[triad]] comprising a root, major third, and augmented sixth.		An '''Italian sixth chord''' is a [[triad]] comprising a root, major third, and augmented sixth. It is often considered to contain four voices, with the major third doubled.

	== In meantone ==		== In meantone ==
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	In 5-limit meantone, the traditional foundation of tonal harmony, the augmented sixth represents both [[225/128]] and [[125/72]]. It is treated as a rare and special dissonance, especially when used on the sixth degree. The 5-limit meantone Italian sixth chord,		In 5-limit meantone, the traditional foundation of tonal harmony, the augmented sixth represents both [[225/128]] and [[125/72]]. It is treated as a rare and special dissonance, especially when used on the sixth degree. The 5-limit meantone Italian sixth chord,

	* (Meantone) ~~1 – 5~~/~~4 – 125~~/72		* (Meantone) 1–5/4–5/4–125/72

	simultaneously represents both [[72:90:125]] (with steps 5/4 and [[25/18]]) and [[128:160:225]] (with steps 5/4 and [[45/32]]).		simultaneously represents both [[72:90:125\|72:90:90:125]] (with steps 5/4, 1/1 and [[25/18]]) and [[128:160:225\|128:160:160:225]] (with steps 5/4, 1/1 and [[45/32]]).

	However, in the historically prevalent [[quarter-comma meantone]], the augmented sixth is tuned only a few cents shy of a just [[7/4]], so the meantone Italian sixth chord can be considered to approximate the [[septimal meantone]] chord:		However, in the historically prevalent [[quarter-comma meantone]], the augmented sixth is tuned only a few cents shy of a just [[7/4]], so the meantone Italian sixth chord can be considered to approximate the [[septimal meantone]] chord:

	* (Septimal meantone) ~~1 – 5~~/~~4 – 7~~/4		* (Septimal meantone) 1–5/4–5/4–7/4

	representing [[4:5:7]] (with steps 5/4 and 7/5).		representing [[4:5:7\|4:5:5:7]] (with steps 5/4, 1/1 and 7/5).
	<!-- Note: The close approximation of 7/4 is specific to quarter-comma meantone. Many other meantones, such as 12edo and 19edo, do not approximate it nearly as closely, although they may nonetheless support the septimal meantone interpretation that unifies it with the Italian sixth. -->		<!-- Note: The close approximation of 7/4 is specific to quarter-comma meantone. Many other meantones, such as 12edo and 19edo, do not approximate it nearly as closely, although they may nonetheless support the septimal meantone interpretation that unifies it with the Italian sixth. -->

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	In the [[5-limit]]:		In the [[5-limit]]:
			* [[128:160:225\|128:160:160:225]], one of the possible 5-limit interpretations of the meantone chord, is found rooted at ♭II ({{Frac\|16\|15}}) and ♭VI ({{Frac\|8\|5}}) in the [[duodene]].
	* [[128:160:225]], one of the possible 5-limit interpretations of the meantone chord, is found rooted at ♭II ({{Frac\|16\|15}}) and ♭VI ({{Frac\|8\|5}}) in the [[duodene]].

	[[Category:Just intonation chords]]		[[Category:Just intonation chords]]
	[[Category:Italian sixth chords\| ]] <!-- main article -->		[[Category:Italian sixth chords\| ]] <!-- main article -->

Bcmills: distinguish septimal meantone from conventional 5-limit meantone

2024-08-24T04:58:34Z

distinguish septimal meantone from conventional 5-limit meantone

← Older revision		Revision as of 04:58, 24 August 2024
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	However, in the historically prevalent [[quarter-comma meantone]], the augmented sixth is tuned only a few cents shy of a just [[7/4]], so the meantone Italian sixth chord can be considered to approximate the [[septimal meantone]] chord:		However, in the historically prevalent [[quarter-comma meantone]], the augmented sixth is tuned only a few cents shy of a just [[7/4]], so the meantone Italian sixth chord can be considered to approximate the [[septimal meantone]] chord:

	* (~~Meantone~~) 1 – 5/4 – 7/4		* (Septimal meantone) 1 – 5/4 – 7/4

	representing [[4:5:7]] (with steps 5/4 and 7/5).		representing [[4:5:7]] (with steps 5/4 and 7/5).

Bcmills: Created page with "{{Wikipedia|Augmented sixth chord #Italian sixth}} An '''Italian sixth chord''' is a triad comprising a root, major third, and augmented sixth. == In meantone == In 5-l..."

2024-08-20T04:50:57Z

Created page with "{{Wikipedia|Augmented sixth chord #Italian sixth}} An '''Italian sixth chord''' is a triad comprising a root, major third, and augmented sixth. == In meantone == In 5-l..."

New page

{{Wikipedia|Augmented sixth chord #Italian sixth}}

An '''Italian sixth chord''' is a [[triad]] comprising a root, major third, and augmented sixth.

== In meantone ==

In 5-limit meantone, the traditional foundation of tonal harmony, the augmented sixth represents both [[225/128]] and [[125/72]]. It is treated as a rare and special dissonance, especially when used on the sixth degree. The 5-limit meantone Italian sixth chord,

* (Meantone) 1 – 5/4 – 125/72

simultaneously represents both [[72:90:125]] (with steps 5/4 and [[25/18]]) and [[128:160:225]] (with steps 5/4 and [[45/32]]).

However, in the historically prevalent [[quarter-comma meantone]], the augmented sixth is tuned only a few cents shy of a just [[7/4]], so the meantone Italian sixth chord can be considered to approximate the [[septimal meantone]] chord:

* (Meantone) 1 – 5/4 – 7/4

representing [[4:5:7]] (with steps 5/4 and 7/5).


== In just intonation ==

In the [[5-limit]]:

* [[128:160:225]], one of the possible 5-limit interpretations of the meantone chord, is found rooted at ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) in the [[duodene]].

[[Category:Just intonation chords]]
[[Category:Italian sixth chords| ]]