Dominant seventh sharp five chord

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Augmented seventh chord

A dominant seventh sharp five chord, or augmented seventh chord, is a tetrad comprising a root, major third, augmented fifth, and minor seventh.

In temperaments

In meantone, , on which traditional tonal harmony is built, the minor seventh tempers together 9/5~16/9, giving a chord with an intervallic odd limit of 125:

• (Meantone) 1/1 ‒ 5/4 ‒ 25/16 ‒ 9/5, with steps ~5/4, ~5/4, ~144/125

In augmented temperament (including 12edo), a ~25/16 augmented fifth is equated with an ~8/5 minor sixth. However, the chord is still 25-odd-limit due to the 36/25~45/32 interval between the ~9/5 minor seventh and ~5/4 major third.

• (Augmented) 1/1 ‒ 5/4 ‒ 8/5 ‒ 9/5, with steps ~5/4, ~5/4, ~9/8

In just intonation

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