Automated generation of contrapuntal musical compositions using probabilistic logic in Derive

作者：Aguilera Gabriel; Luis Galan Jose; Madrid Rafael; Manuel Martinez Antonio; Padilla Yolanda; Rodriguez Pedro

来源：Mathematics and Computers in Simulation, 2010, 80(6): 1200-1211.

DOI：10.1016/j.matcom.2009.04.012

• CAS
• Contrapuntal musical compositions
• Automated compositions
• Probabilistic logic

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 lutes ate specified in Derive using probabilistic rules of a probabilistic logic, and the result can be generated for both voices (above and below) or first species counterpoint
The main goal of this work is not to obtain a "professional" counterpoint generator but to show an application of a probabilistic logic using a CAS tool Thus, the algorithm developed does not take into account stylistic melodic characteristics of species counterpoint. but rather focuses on the harmonic aspect
The work developed can be summarized in the following steps
(1) Development of a probabilistic algorithm in order to obtain a non-deterministic counterpoint for a given melody
(2) Implementation of the algorithm in Derive 6 using probabilistic Logic
(3) Implementation in Java of a program to deal with the input ("cantus firmus") and with the output (cou

• 出版日期2010-2