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, Institute of Advanced Studies in Communications, Federal University of Bahia (UFBA)
Preface. 1. Fundamentals of music science, and its relation to other subjects2. Historical evolution of music, and discusses musical eras3. Relation between musical science and mathematics4. Analysis of signals in time and frequency, and the Fourier theory5. Properties and applications of the Fourier transform6. Basic definitions of musical science, and musical terminology7. Features of the sound production, including vibration and timbre8. Music characteristics and acoustics, including tempo, rhythm and harmony9. Voice models and voice production, along with sound perception10. The creation of major scales and the formation of minor scales11. The study on consonance and dissonance12. Measure and metric, tempo markings and dynamics13. Music theory and chord formation, along with definitions of notes, staff and alterations, keys and intervals, tones and associated frequencies14. Melody the fundamentals of music composition15. Musical instruments, and the usual formation of orchestras and rock bands16. Main music styles, that include classic, modern, popular and human voice styles Appendix A. Basic differentiation and integration rulesAppendix B. Properties of Fourier series and transform Appendix C. List of notes, including their frequencies and wavelengthsAppendix D. Glossary of music terms and acronyms