What is the difference between transposition and permutation?
transposition | permutation |
The act or process of transposing or interchanging.
(music) A shift of a piece of music to a different musical key by adjusting all the notes of the work equally either up or down in pitch.
(chess) A sequence of moves resulting in a position that may also be reached by another, more common sequence.
(mathematics) A one-to-one mapping from a finite set to itself.
(mathematics, combinatorics) An ordering of a finite set of distinct elements.
(music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
In lang=en terms the difference between transposition and permutation
is that transposition is a sequence of moves resulting in a position that may also be reached by another, more common sequence while permutation is a transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.As nouns the difference between transposition and permutation
is that transposition is the act or process of transposing or interchanging while permutation is a one-to-one mapping from a finite set to itself.transposition
English
Noun
(en noun)Derived terms
* transpositionalSee also
* twelve tone technique * serialismReferences
* DeLone et. al. (Eds.) (1975). Aspects of Twentieth-Century Music. Englewood Cliffs, New Jersey: Prentice-Hall. ISBN 0130493465, Ch. 6.permutation
English
Noun
(wikipedia permutation) (en noun)- This permutation takes each element to the one following it, with the last mapped back to the first.
- There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.