Automated generation of contrapuntal musical compositions using probabilistic logic in Derive

Gabriel Aguilera, José Luis Galán, Rafael Madrid, Antonio Manuel Martínez, Yolanda Padilla and Pedro Rodríguez

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 6, 1200-1211

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.

Keywords: CAS; Contrapuntal musical compositions; Automated compositions; Probabilistic logic (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:6:p:1200-1211

DOI: 10.1016/j.matcom.2009.04.012

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