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Harmonic Drum Design Based on Multi-Objective Shape Optimization

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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.

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AES - Audio Engineering Society