Italian sixth chord: Difference between revisions
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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..." |
distinguish septimal meantone from conventional 5-limit meantone |
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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: | ||
* ( | * (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). | ||
Revision as of 04:58, 24 August 2024
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:
- (Septimal 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 (16⁄15) and ♭VI (8⁄5) in the duodene.