History
In early music, what is today called a sixth chord or first inversion in classical music was considered an autonomous harmonic entity with the root named by the bass, while it was later simply considered an inversion of a chord with the bass being the third (not the root) and the root being the sixth (not the bass). In jazz, this form is referred to as a major sixth chord.
Alternatively, rather than as a six three chord, the note a may be analyzed as a suspension or appoggiatura, "first resolved and later...retained as a part of the chord, no resolution taking place.":
The dominant chord's fifth may be substituted by the chord's sixth, analyzed as its thirteenth:
Read more about this topic: Sixth Chord
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