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Titlebook: Springer Handbook of Systematic Musicology; Rolf Bader Book 2018 Springer-Verlag GmbH Germany 2018 Music Ethnology.Music Psychology.Music

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Vibrations and Waveslytic results can be obtained for some boundary conditions. This chapter will also review techniques for the calculation of resonance frequencies. Finally an introduction into the analysis of real musical instruments in the frequency domain will be given.
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Waves in Two and Three Dimensionsbe derived for rectangular and circular membranes, plates and disks and how analytic results can be obtained for a three-dimensional case with relatively simple boundary conditions. This chapter will also review techniques for the calculation of resonance frequencies and for the prediction of associated modal shapes.
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Delay-Lines and Digital Waveguidessting for delay-based audio effects algorithms, but also as simple models of acoustic wave propagation. Finally, the use of delay lines to simulate wave propagation in one-dimensional waveguides will be introduced with a focus on the synthesis of plucked string instrument sounds.
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