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2014 | OriginalPaper | Chapter

9. Loops

Authors : Tom Johnson, Franck Jedrzejewski

Published in: Looking at Numbers

Publisher: Springer Basel

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Abstract

Frequently minimal music, particularly the sub-species referred to as “repetitive music,” turns around in loops. I never really wrote repetitive music, but I’ve written an awful lot of musical loops, and there are a great many ways of doing this. Most of the loops we’ll be discussing here might better be called “rhythmic canons”, a term introduced in Perspectives of New Music in 1991-1992 in an article by the Rumanian mathematician and music theorist Dan Tudor Vuza. Basically this article has to do with rhythms that repeat canonically in such a way that every point in time is touched exactly once by one of the voices.

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Literature
1.
go back to reference Amiot, E. 2009. Autosimilar melodies. Journal of Mathematics and Music 3(1): 1–26. Amiot, E. 2009. Autosimilar melodies. Journal of Mathematics and Music 3(1): 1–26.
2.
go back to reference Vuza, D.T. 1991–1993. Supplementary sets and regular complementary unending canons. Perspectives of New Music Part 1, 29(2), Part 2, 30(1), Part 3, 30(2), Part 4, 31(1) . Vuza, D.T. 1991–1993. Supplementary sets and regular complementary unending canons. Perspectives of New Music Part 1, 29(2), Part 2, 30(1), Part 3, 30(2), Part 4, 31(1) .
5.
go back to reference Amiot, E. 2011. Algorithms and algebraic tools for rhythmic canons structures. Perspectives of New Music 40(2): 93–142. Amiot, E. 2011. Algorithms and algebraic tools for rhythmic canons structures. Perspectives of New Music 40(2): 93–142.
6.
go back to reference Davalan, J.P. 2011. Perfect rhythmic tilings. Perspectives of New Music 40(2): 144–197. Davalan, J.P. 2011. Perfect rhythmic tilings. Perspectives of New Music 40(2): 144–197.
go back to reference Feldman, D. 1996. Review of self-similar melodies by Tom Johnson. Leonardo Music Journal 8: 80–84.CrossRef Feldman, D. 1996. Review of self-similar melodies by Tom Johnson. Leonardo Music Journal 8: 80–84.CrossRef
go back to reference F. Jedrzejewski. 2006. Mathematical theory of music. Paris: Ircam Delatour. F. Jedrzejewski. 2006. Mathematical theory of music. Paris: Ircam Delatour.
Metadata
Title
Loops
Authors
Tom Johnson
Franck Jedrzejewski
Copyright Year
2014
Publisher
Springer Basel
DOI
https://doi.org/10.1007/978-3-0348-0554-4_9

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