Eigenvalues and musical instruments

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Eigenvalues and Musical Instruments

Most musical instruments are built from physical systems that oscillate at certain natural frequencies. The frequencies are the imaginary parts of the eigenvalues of a linear operator, and the decay rates are the negatives of the real parts, so it ought to be possible to give an approximate idea of the sound of a musical instrument by a single plot of points in the complex plane. Nevertheless, ...

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2001

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(00)00560-4