Chapter

Non-Isochronous Meters

Justin London

in Hearing in Time

Published in print September 2004 | ISBN: 9780195160819
Published online September 2007 | e-ISBN: 9780199786763 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780195160819.003.0008
Non-Isochronous Meters

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Many non-western musics involve non-isochronous (NI) meters (also known as complex or additive meters), based on cycles of a prime number of rapid articulations (e.g., 7, 11) or uneven divisions of non-prime cycles (e.g., 9 divided 2+2+2+3). As a result, in NI meters one has uneven beats (i.e., more than one class or category of beat intervals). An additional well-formedness constraint, maximal evenness, is given to limit this unevenness; maximal evenness also gives rise to optimal entrainment behaviors. The prevalence for most NI meters to use beats in a 2:3 durational ratio is explained in terms of more general constraints on beat formation (i.e., the speed limits for beat subdivisions and for beats to have similar temporal magnitude). As one may permute or rotate a series of uneven beats, there is an additional “ordering constraint” on NI-metrical types. Accent in the context of NI meters is also considered.

Keywords: complex meter; additive rhythm; maximal evenness; 2:3 ratio; metric rotations

Chapter.  6202 words.  Illustrated.

Subjects: Cognitive Psychology

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