German sixth chord: Difference between revisions
We have the much simpler 4:5:6:7 to contest for Tag: Removed redirect |
Per discussion, the 7-limit interpretation shouldn't be presented as historical. Copypaste some information from the 7/4 page |
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{{Wikipedia|Augmented sixth chord #German sixth}} | {{Wikipedia|Augmented sixth chord #German sixth}} | ||
A '''German sixth chord''' is a [[tetrad]] comprising a root, major third, fifth, and augmented sixth. In [[meantone]] (including [[12edo]]), on which traditional tonal harmony is built, the | A '''German sixth chord''' is a [[tetrad]] comprising a root, major third, fifth, and augmented sixth. | ||
In [[meantone]] (including [[12edo]]), on which traditional tonal harmony is built, the augmented sixth is treated as a rare and special dissonance. It is approximately the size of a [[7/4|harmonic seventh (7/4)]], so the chord approximates the [[harmonic seventh chord]]: | |||
* 1 – 5/4 – 3/2 – 7/4 with steps 5/4, 6/5, 7/6. | * 1 – 5/4 – 3/2 – 7/4 with steps 5/4, 6/5, 7/6. | ||
In 5-limit just intonation, this augmented sixth is likely to be [[225/128]] – the Neapolitan augmented sixth, so if we stick to the 5-limit, one possible tuning is given as [[128:160:192:225]]. | |||