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Osječki matematički list, Vol. 14 No. 1, 2014.

Professional paper

Music of a vibrating string

Krešimir Burazin orcid id orcid.org/0000-0001-6713-7560 ; Sveučilište u Osijeku, Odjel za matematiku, Osijek, Hrvatska
Jelena Jankov ; Sveučilište u Osijeku, Odjel za matematiku, Osijek, Hrvatska

Full text: croatian pdf 351 Kb

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Abstract

The paper describes how string musical instruments produce sound. First,we introduce some basic notions of acoustics and clarify the idea of Fourier analysis and synthesis of waves, as well as the notion of consonance and dissonance of intervals. Then we introduce a model of transverse oscillations of a thin string, and use the Fourier method to solve the derived wave equation.
Finally, we analyze oscillations of strings of a guitar and a piano.

Keywords

sound; sound wave; tone; string musical instruments; transverse oscillations of a string; Fourier method

Hrčak ID:

124962

URI

https://hrcak.srce.hr/124962

Publication date:

14.7.2014.

Article data in other languages: croatian

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