# Transposition

In

telecommunication, the term

**transposition** has the following meanings:

- In data transmission, a transmission defect in which, during one character period, one or more signal elements are changed from one significant condition to the other, and an equal number of elements are changed in the opposite sense.
- In outside plant construction, an interchange of spatial positions of the several conductors of a cable between successive concatenated sections.

*Note:* Transposition is usually used to minimize

inductive coupling and thus reduce

interference in

communications circuits.

Source: from Federal Standard 1037C and from MIL-STD-188

In

music **transposition** is moving a note or collection of notes up or down in

pitch by a constant

interval. This could be tranposing a piece of music into another

key, transposing a

tone row or an unordered collection of pitches such as a

chord so that it begins on another pitch. See also

Transposing instrument.

**Transpositional equivalency** is the concept that intervals and chords are the same when transposed. It is similar to

enharmonic equivalency and

octave equivalency. Transpositional equivalency is generally supposed by most music theory in that chords which may be transposed onto one another share something in common. However, taking them to be identical or near-identical is only assumed in

musical set theory.

In

mathematics, a

**transposition** is a

permutation which exchanges two elements and keeps all others fixed. For example (1 3) is a transposition which exchange 1 and 3. A transposition is a cycle of length two.

In

cryptography, a

**transposition** is an elementary cryptographic operation somewhat related to the mathematical

permutations. See

transposition (cryptography).