A Model for Music: Theory of Rhythm

Authors

  • Jesús Lara Popoca Universidad Veracruzana (UV)

DOI:

https://doi.org/10.48160/18532330me6.247

Keywords:

set-theoretical methods, theory of musical rhythm, theory of sound pitch, computability and decidability of musical theories

Abstract

My aim in this paper is to use set-theoretical methods in order to elaborate a theory of musical rhythm. Departing from a rigorously defined notion of musical structure, it develops the basic concepts of the theory of rhythm, extending the concepts presented in Lara (unpublished) in order to propose a model for musical theory that embraces both the theory of pitches and that of rhythm.

References

Chang, C.C. y H.J. Keisler (1998), Model Theory, Amsterdam: North Holland.

Lara, J. (inédito),“Un modelo para la música: teoría de las alturas”,manuscrito inédito.

Lateef, Y.A. (1981), Repository of Scales and Melodic Patterns, Amherst, MA: Fana Music.

Schenker, H. (1935), Neue musikalische Theorien und Phantasien,Vol. III: Der freie Satz, Vienna: Universal Editions.

Schillinger, J. (1946), The Schillinger System of Musical Composition, Vols. I and II, New York: Carl Fischer.

Slonimsky, N. (1947), Thesaurus of Scales and Melodic Patterns, New York: Charles Scribner’s Sons.

Published

2015-10-01

How to Cite

Popoca, J. L. (2015). A Model for Music: Theory of Rhythm. Metatheoria – Journal of Philosophy and History of Science, 6(1), 73–78. https://doi.org/10.48160/18532330me6.247