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Invariance (music) - Wikipedia, the free encyclopedia

Invariance (music)

From Wikipedia, the free encyclopedia

In music using the twelve tone technique invariance describes the portions of rows which have been so designed that they remain invariant under the allowable transformations (inversion, retrograde, retrograde-inversion, multiplication). George Perle describes their use as "pivots" or non-tonal ways of emphasizing certain pitches. Invariant rows are also combinatorial.

Variance in musical data is not an all-or-nothing property, but rather a quantitative variable. All data is to some extent invariant, and the emphasis in implementation can be oriented towards enhancing or limiting the variance/invariance regardless of the starting germs.

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