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Automated generation of contrapuntal musical compositions using probabilistic logic in Derive

Author

Listed:
  • Aguilera, Gabriel
  • Luis Galán, José
  • Madrid, Rafael
  • Martínez, Antonio Manuel
  • Padilla, Yolanda
  • Rodríguez, Pedro

Abstract

In this work, we present a new application developed in Derive 6 to compose counterpoint for a given melody (“cantus firmus”). The result is non-deterministic, so different counterpoints can be generated for a fixed melody, all of them obeying classical rules of counterpoint. In the case where the counterpoint cannot be generated in a first step, backtracking techniques have been implemented in order to improve the likelihood of obtaining a result. The contrapuntal rules are specified in Derive using probabilistic rules of a probabilistic logic, and the result can be generated for both voices (above and below) of first species counterpoint.

Suggested Citation

  • Aguilera, Gabriel & Luis Galán, José & Madrid, Rafael & Martínez, Antonio Manuel & Padilla, Yolanda & Rodríguez, Pedro, 2010. "Automated generation of contrapuntal musical compositions using probabilistic logic in Derive," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1200-1211.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:6:p:1200-1211
    DOI: 10.1016/j.matcom.2009.04.012
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    Citations

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    Cited by:

    1. HERREMANS, Dorien & SÖRENSEN, Kenneth, 2012. "Composing Fifth Species Counterpoint Music With Variable Neighborhood Search," Working Papers 2012020, University of Antwerp, Faculty of Business and Economics.
    2. Aguilera, Gabriel & Galán, José Luis & García, José Manuel & Mérida, Enrique & Rodríguez, Pedro, 2014. "An accelerated-time simulation of car traffic on a motorway using a CAS," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 104(C), pages 21-30.
    3. Galán-García, José L. & Aguilera-Venegas, Gabriel & Galán-García, María Á. & Rodríguez-Cielos, Pedro & Atencia-Mc.Killop, Iván, 2018. "Improving CAS capabilities: New rules for computing improper integrals," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 525-540.
    4. Aguilera-Venegas, Gabriel & Galán-García, José L. & Mérida-Casermeiro, Enrique & Rodríguez-Cielos, Pedro, 2014. "An accelerated-time simulation of baggage traffic in an airport terminal," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 104(C), pages 58-66.
    5. HERREMANS, Dorien & SÖRENSEN, Kenneth, 2013. "FuX, an android app that generates counterpoint," Working Papers 2013003, University of Antwerp, Faculty of Business and Economics.

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