Abstract
Petri Nets are a formal tool for studying systems that are concurrent, asynchronous, distributed, parallel, nondeterministic, and/or stochastic. They were used in a number of real-world simulations and scientific problems, but seldom considered an effective means to describe and/or generate music. The purpose of this paper is demonstrating that Petri Nets (enriched with some peculiar extensions) can well represent the results of a musicological analysis process.
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References
De Matteis, A., Haus, G.: Formalization of Generative Structures within Stravinsky’s The Rite of Spring. Journal of New Music Research 25(1), 47–76 (1996)
Haus, G., Rodriguez, A.: Music Description and Processing by Petri Nets. In: Rozenberg, G. (ed.) APN 1988. LNCS, vol. 340, pp. 175–199. Springer, Heidelberg (1988)
Haus, G., Rodriguez, A.: Formal Music Representation; a Case Study: the Model of Ravel’s Bolero by Petri Nets. In: Haus, G. (ed.) Music Processing. Computer Music and Digital Audio Series, pp. 165–232. A-R Editions, Madison (1993)
Haus, G., Sametti, A.: Modeling and Generating Musical Scores by Petri Nets. Languages of Design 2(1), 7–24 (1994)
Haus, G., Ludovico, L.A.: Music Segmentation: An XML-oriented Approach. In: Wiil, U.K. (ed.) CMMR 2004. LNCS, vol. 3310, pp. 330–346. Springer, Heidelberg (2005)
Lerdahl, F., Jackendoff, R.: A Generative Theory of Tonal Music. The MIT Press, Cambridge (1983)
The New Grove Concise Dictionary of Music. Macmillan Publishers, Basingstoke (1994)
Mozart, W.A.: Sonata in F major KV332 (300k). In: Complete Piano Sonatas, G. Henle Verlag, München (2005)
Petri, C.A.: General Net Theory. In: Proceedings of the Joint IBM & Newcastle upon Tyne Seminar on Computer Systems Design (1976)
Peterson, J.L.: Petri Net Theory and the Modelling of Systems. Prentice Hall, New Jersey (1981)
Surian, E.: Manuale di Storia della Musica, vol. 2, pp. 511–513. Rugginenti Editore, Milano (1992)
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Baratè, A., Haus, G., Ludovico, L.A. (2006). Music Analysis and Modeling Through Petri Nets. In: Kronland-Martinet, R., Voinier, T., Ystad, S. (eds) Computer Music Modeling and Retrieval. CMMR 2005. Lecture Notes in Computer Science, vol 3902. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11751069_19
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DOI: https://doi.org/10.1007/11751069_19
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