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Computer Science > Sound

arXiv:2309.05595 (cs)
[Submitted on 11 Sep 2023 (v1), last revised 14 Sep 2023 (this version, v2)]

Title:Undecidability Results and Their Relevance in Modern Music Making

Authors:Halley Young
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Abstract:This paper delves into the intersection of computational theory and music, examining the concept of undecidability and its significant, yet overlooked, implications within the realm of modern music composition and production. It posits that undecidability, a principle traditionally associated with theoretical computer science, extends its relevance to the music industry. The study adopts a multidimensional approach, focusing on five key areas: (1) the Turing completeness of Ableton, a widely used digital audio workstation, (2) the undecidability of satisfiability in sound creation utilizing an array of effects, (3) the undecidability of constraints on polymeters in musical compositions, (4) the undecidability of satisfiability in just intonation harmony constraints, and (5) the undecidability of "new ordering systems". In addition to providing theoretical proof for these assertions, the paper elucidates the practical relevance of these concepts for practitioners outside the field of theoretical computer science. The ultimate aim is to foster a new understanding of undecidability in music, highlighting its broader applicability and potential to influence contemporary computer-assisted (and traditional) music making.
Subjects: Sound (cs.SD); Audio and Speech Processing (eess.AS)
Cite as: arXiv:2309.05595 [cs.SD]
  (or arXiv:2309.05595v2 [cs.SD] for this version)
  https://doi.org/10.48550/arXiv.2309.05595

Submission history

From: Halley Young [view email]
[v1] Mon, 11 Sep 2023 16:23:43 UTC (18 KB)
[v2] Thu, 14 Sep 2023 19:39:12 UTC (18 KB)
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