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A vast majority of drums used in music have round membranes. Sound produced by such an instrument is non-harmonic, so one cannot perceive its pitch clearly. The paper aims to present possibilities of fusing additive synthesis and multi-objective optimization in order to find the relatively simple shape for which a membrane could produce harmonic sound. The proposed approach is based on Multi-Objective Particle Swarm Optimization and uses an original shape parametrization method based on Fourier series. Harmonicity of a drum was assessed based on additive synthesis using solutions of two-dimensional Helmholtz equation on irregular domains by means of the ?nite difference method.
Author (s): Szwajcowski, Adam; Pilch, Adam
Affiliation:
AGH University of Science and Technology, Kraków, Poland
(See document for exact affiliation information.)
AES Convention: 145
Paper Number:10092
Publication Date:
2018-10-06
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Session subject:
Applications in Audio
Permalink: https://aes2.org/publications/elibrary-page/?id=19818
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Szwajcowski, Adam; Pilch, Adam; 2018; Harmonic Drum Design Based on Multi-Objective Shape Optimization [PDF]; AGH University of Science and Technology, Kraków, Poland; Paper 10092; Available from: https://aes2.org/publications/elibrary-page/?id=19818
Szwajcowski, Adam; Pilch, Adam; Harmonic Drum Design Based on Multi-Objective Shape Optimization [PDF]; AGH University of Science and Technology, Kraków, Poland; Paper 10092; 2018 Available: https://aes2.org/publications/elibrary-page/?id=19818