Music and Acoustics: From Instrument to ComputerHow can a piano tuner obtain such high precision with no other measuring device than their own ears? How can a sequence of notes seem to rise continuously despite coming back periodically to the same notes? What are the possibilities and the limits of digital sound? These are a few examples of questions that are discussed in this book, which presents an overview on the nature of musical sounds, from their production by acoustic music instruments to synthesized sounds obtained with computers. The topics that are treated include sound propagation, Fourier and time-frequency analysis, psychoacoustics, analog and digital signal processing theory, computer science and MP3 sound compression, and of course... music! |
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acoustic pressure additive synthesis amplitude analysis assume band-pass beat boundary conditions calculation called Chapter comprised cos(kL cut-off frequency denoted diatonic scale Dirac impulse effect envelope equal temperament equal to zero equal-loudness contours example exp(2irrft fifth filter first flute Fourier coefficients Fourier transform frequency f frequency ratio fundamental harmonics or partials Helmholtz equation hence impulse response inharmonicity interval length listener low-pass masking MATLAB minor scale modulated musician natural frequencies natural modes noise notes obtained octave organ stops percussion percussion instruments periodic sound phase piano pitch plane wave play pressure control propagation psychoacoustic pure sound quantization real numbers resonator result samples semitone shown in Figure sin(kL sinusoidal solution sound intensity sound s(t spectrogram speed standing wave string Study problem synthesis timbre time-frequency tone transfer function tuning values vector vibrations violin wave equation wind instruments x-coordinates Z-transform