Inversion (music)

:For non-musical meanings of inversion, see inversion.

Inversion in musical set theory

In musical set theory inversion may be usefully thought of as the compound operation transpositional inversion, which is the same sense of inversion as in the Inverted melodies section above, with transposition carried out after inversion. Pitch inversion by an ordered pitch interval may be defined as:

Related Topics:
Musical set theory - Inverted melodies

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• $T^p\_nI\; =\; -x+n$

which equals

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• $T^p\_nI\; =\; n-x$

First invert the pitch or pitches, x=-x, then transpose, -x+n.

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Pitch class inversion by a pitch class interval may be defined as:

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• $T\_nI(x)\; =\; -x+n\; (mod\; 12)$