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Everything about Inversional Equivalency totally explained

In music theory, the word inversion has several meanings. There are inverted chords, inverted melodies, inverted intervals, and (in counterpoint) inverted voices. The concept of inversion also plays a role in musical set theory.

Inverted chords

A chord's inversion describes the relationship of its bass to the other tones in the chord. For instance, a C major triad contains the tones C, E and G; its inversion is determined by which of these tones is used as the bottom note in the chord.
   The term inversion is often used to categorically refer to the different possibilities, although it may also be restricted to only those chords where the bass note isn't also the root of the chord (see root position below). In texts that make this restriction, the term position may be used instead to refer to all of the possibilities as a category.

Root position

A root-position chord is sometimes known as the parent chord of its inversions. For example, C is the root of a C major triad and is in the bass when the triad is in root position; the 3rd and the 5th of the triad are sounded above the bass. Thus, a root-position chord is also known as a ^5_3 sonorities, for instance.

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