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Quantization revisited: a mathematical and computational model.
- Source :
-
Journal of Mathematics & Music . Mar2011, Vol. 5 Issue 1, p21-34. 14p. 6 Diagrams, 1 Chart, 3 Graphs. - Publication Year :
- 2011
-
Abstract
- A nascent theory of near division is presented, from which an efficient quantization algorithm for rhythm intervals is derived. Based on a number theoretic analysis of the uniqueness and convergence of this first algorithm, a generalized algorithm is presented. An empirical study of the algorithm's performance reveals a readily computable criterion within which the perceived ratio may reliably be produced on real performance data. Distribution properties are shown to be reasonable for computation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17459737
- Volume :
- 5
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematics & Music
- Publication Type :
- Academic Journal
- Accession number :
- 60900039
- Full Text :
- https://doi.org/10.1080/17459737.2011.573674