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The book presents the fundamentals of music science, followed by a discussion on the historical evolution of music. An introduction to the analysis of signals in time and frequency is presented, which includes sound and noise. Features and mathematical aspects of the sound are discussed, including vibration and timbre. The book presents a review of existing voice models and discusses the voice production, sound perception, music characteristics and acoustics, tempo, rhythm and harmony. Musical theory is presented, including staff, notes, alterations, keys and intervals, tones and associated frequencies and wavelengths. The creation of major and minor scales is emphasized, along with a study on consonance and dissonance, measure, metric, tempo markings, dynamics, modulation. The book also explains the chord formation, and discusses melody and composition. The book has four appendices, including an appendix on the basic differentiation and integration theorems, another with useful Fourier tables, and an appendix featuring the notes, their frequencies and wavelengths. The book also has a glossary of music terms.
Marcelo Sampaio de Alencar
Preface Acknowledgements List of Figures List of Tables 1 Elements and Philosophy of Music 2 History and Evolution of Music 3 Music and Mathematics 4 Signal Analysis 5 Fourier Transform Applications 6 Properties of the Fourier Transform 7 Musical Terminology 8 Sound Theory 9 Acoustics and Cognition 10 Voice Models 11 Scale Formation 12 Consonance and Dissonance in Music 13 Note, Time, and Frequency 14 Theory of Chord Formation 15 Study of Melody and Composition 16 Musical Instruments 17 Music Styles Appendix A: Basic Differentiation and Integration Rules Appendix B: Fourier Series and Transforms Appendix C: Notes, Frequencies, and Wavelengths Glossary of Musical Terminology Bibliography Index About the Author
