Non-retrogradable rhythm
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In music
Music
Music is an art form whose medium is sound and silence. Its common elements are pitch , rhythm , dynamics, and the sonic qualities of timbre and texture...

 or music theory
Music theory
Music theory is the study of how music works. It examines the language and notation of music. It seeks to identify patterns and structures in composers' techniques across or within genres, styles, or historical periods...

, a non-retrogradable rhythm
Rhythm
Rhythm may be generally defined as a "movement marked by the regulated succession of strong and weak elements, or of opposite or different conditions." This general meaning of regular recurrence or pattern in time may be applied to a wide variety of cyclical natural phenomena having a periodicity or...

is a pattern of note durations that is read or performed the same either forwards or backwards, i.e., it is a rhythmic palindrome
Palindrome
A palindrome is a word, phrase, number, or other sequence of units that can be read the same way in either direction, with general allowances for adjustments to punctuation and word dividers....

. The term is used most frequently in the context of the music of Olivier Messiaen
Olivier Messiaen
Olivier Messiaen was a French composer, organist and ornithologist, one of the major composers of the 20th century. His music is rhythmically complex ; harmonically and melodically it is based on modes of limited transposition, which he abstracted from his early compositions and improvisations...

. For example, it is employed in "Liturgy of Crystal" and "Danse de la fureur, pour les sept trompettes," the first movement and sixth movement of Messiaen's Quatuor pour la fin du temps
Quatuor pour la fin du temps
Quatuor pour la fin du temps, also known by its English title Quartet for the End of Time, is a piece of chamber music by the French composer Olivier Messiaen. It was premiered in 1941...

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