Metamathematics of Algorithmic Composition
Michael Gogins
TL;DR
This paper explores the mathematical foundations of algorithmic music composition, focusing on limits, possibilities, and implications for future developments, by drawing analogies with logic and computability theory.
Contribution
It provides a philosophical and theoretical analysis of the fundamental limits and potential of algorithmic composition grounded in mathematical logic.
Findings
Identifies fundamental limits of algorithmic music generation
Discusses potential future directions based on mathematical foundations
Draws analogies with metalogic and computability theory
Abstract
This essay recounts my personal journey towards a deeper understanding of the mathematical foundations of algorithmic music composition. I do not spend much time on specific mathematical algorithms used by composers; rather, I focus on general issues such as fundamental limits and possibilities, by analogy with metalogic, metamathematics, and computability theory. I discuss implications from these foundations for the future of algorithmic composition.
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Taxonomy
TopicsMusic Technology and Sound Studies · Music and Audio Processing · Neuroscience and Music Perception