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Permutation (music)
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Permutation (music)

In music and the terminology of the twelve tone technique a permutation is one of the many forms a tone row or twelve tone series. That is, prime form and any transposition, inversion, retrograde or retrograde-inversion, a total of 48 permutations. However, not all prime series will yield so many variations because tranposed and/or inverse transformations may be identical to each other, this being known as invariance. More generally permutation is any reordering of the original or prime form of an ordered set of pitch classes (DeLone et. al. (Eds.), 1975, chap. 6). Reordering may be called an operation or transformation.

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