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Music Analysis and Modeling Through Petri Nets

  • Adriano Baratè
  • Goffredo Haus
  • Luca A. Ludovico
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3902)

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.

Keywords

Probabilistic Weight Music Operator Music Piece Music Work Music Object 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    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)CrossRefGoogle Scholar
  2. 2.
    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)CrossRefGoogle Scholar
  3. 3.
    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)Google Scholar
  4. 4.
    Haus, G., Sametti, A.: Modeling and Generating Musical Scores by Petri Nets. Languages of Design 2(1), 7–24 (1994)Google Scholar
  5. 5.
    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)CrossRefGoogle Scholar
  6. 6.
    Lerdahl, F., Jackendoff, R.: A Generative Theory of Tonal Music. The MIT Press, Cambridge (1983)Google Scholar
  7. 7.
    The New Grove Concise Dictionary of Music. Macmillan Publishers, Basingstoke (1994)Google Scholar
  8. 8.
    Mozart, W.A.: Sonata in F major KV332 (300k). In: Complete Piano Sonatas, G. Henle Verlag, München (2005)Google Scholar
  9. 9.
    Petri, C.A.: General Net Theory. In: Proceedings of the Joint IBM & Newcastle upon Tyne Seminar on Computer Systems Design (1976)Google Scholar
  10. 10.
    Peterson, J.L.: Petri Net Theory and the Modelling of Systems. Prentice Hall, New Jersey (1981)zbMATHGoogle Scholar
  11. 11.
    Surian, E.: Manuale di Storia della Musica, vol. 2, pp. 511–513. Rugginenti Editore, Milano (1992)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Adriano Baratè
    • 1
  • Goffredo Haus
    • 1
  • Luca A. Ludovico
    • 1
  1. 1.LIM-DICO University of MilanMilanoItaly

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