Nonlinearities and synchronization in musical acoustics and music psychology

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Nonlinearities are foundational in musical systems, encompassing instruments, timbre, rhythm perception and production, and neural networks involved in music perception. This volume reviews past and present research in these areas. In Musical Acoustics, nonlinearities in instruments often yield musically intriguing features, as tone production arises from synchronization and self-organization within the instruments. The suggested Impulse Pattern Formulation (IPF) serves as an iterative framework applicable to all musical instruments, effectively reproducing complex and perceptually significant initial transients. In Music Psychology, nonlinearities influence various musical features, including pitch, timbre, and rhythm perception. Self-organizing models uniquely explain sudden phase transitions during rhythm production and tapping. Neural networks, both Kohonen and connectionist types, can replicate tonality, timbre similarities, and musical phrases. The volume also explores signal processing tools for nonlinear sound analysis, utilizing methods in the Fourier domain, such as Wavelets and correlograms, and in the phase-space domain, including fractal dimensions and information structures. Additionally, it introduces Physical Modeling of instruments using Finite-Element and Finite-Difference methods to address the complexity of instrument bodies and wave couplings. Ultimately, it concludes that most musical systems are self-org