A Model for Music: Theory of Rhythm
DOI:
https://doi.org/10.48160/18532330me6.247Keywords:
set-theoretical methods, theory of musical rhythm, theory of sound pitch, computability and decidability of musical theoriesAbstract
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of musical structure, it develops the basic concepts of the theory of rhythm, extending the concepts presented in Lara (unpublished) in order to propose a model for musical theory that embraces both the theory of pitches and that of rhythm.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.
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