Abstract
The goal of this research is to maximize chord-based composition possibilities given a relatively small amount of information. A transformational approach, based in group theory, was chosen, focusing on chord intervals as the components of a modified Markov process. The Markov process was modified to balance between average harmony, representing familiarity, and entropy, representing novelty. Uniform triadic transformations are suggested as a further extension of the transformational approach, improving the quality of tonality. The composition algorithms are demonstrated given a short chord progression and also given a larger database of albums by the Beatles. Results demonstrate capabilities and limitations of the algorithms.
Subject
Applied Mathematics,Computational Mathematics,General Engineering
Reference29 articles.
1. Algorithmic Composition: Paradigms of Automated Music Generation;Nierhaus,2009
2. Positioning for a Guitar Playing Robot Using a Single Image;Garcia,2016
3. Generalized Musical Intervals and Transformations;Lewin
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