Music Science

Description

Front Cover Half Title Series Page - RIVER PUBLISHERS SERIES IN SIGNAL, IMAGE AND SPEECH PROCESSING Title page Copyright page Dedication page Contents Preface Acknowledgements List of Figures List of Tables Chapter 1 - Elements and Philosophy of Music 1.1 The Logic of Sound 1.2 The Audio and the Video 1.3 Made of Sound and Silence 1.4 The Quantum Nature of Music 1.5 The Sound Perception 1.6 The Material and the Virtual 1.7 The Organized Sound 1.8 Music and Poetry Chapter 2 - History and Evolution of Music 2.1 Music of the Evolution 2.2 The Pre-Historic Antiquity 2.3 Music Eras 2.3.1 Middle Ages 2.3.2 Renaissance 2.3.3 Baroque 2.3.4 Classic 2.3.5 Romantic 2.3.6 Modern Era 2.3.7 Neoclassicism Chapter 3 - Music and Mathematics 3.1 Music in Theory 3.1.1 Equal Temperament 3.1.2 Just Intonation 3.2 The First Studies of Musical Consonance 3.3 Mathematicians and Music 3.4 The Decomposition of Music Chapter 4 - Signal Analysis 4.1 Basic Fourier Analysis 4.1.1 The Trigonometric Fourier Series 4.1.2 The Compact Fourier Series 4.1.3 The Exponential Fourier Series 4.2 Convergence to Fourier Transform Chapter 5 - Fourier Transform Applications 5.1 Fourier Transform 5.1.1 Fourier Transform of the Impulse Function 5.1.2 Transform of the Unit Step Function 5.1.3 Transform of the Constant Function 5.1.4 The Exponential Signal 5.1.5 Bilateral Exponential Signal 5.1.6 Transform of the Gate Function 5.1.7 Fourier Transform of the Sine and Cosine Functions 5.1.8 Fourier Transform of the Complex Exponential 5.1.9 Fourier Transform of a Periodic Function Chapter 6 - Properties of the Fourier Transform 6.1 Properties of the Fourier Transform 6.1.1 Linearity the Fourier Transform 6.1.2 Scaling Property 6.1.3 Symmetry of Fourier Transform 6.1.4 Time Domain Shift 6.1.5 Frequency Domain Shift 6.1.6 Differentiation in the Time Domain 6.1.7 Integration in the Time Domain 6.1.8 The Convolution Theorem in the Time Domain 6.1.9 The Convolution Theorem in the Frequency Domain 6.2 The Sampling Theorem 6.3 Parseval’s Theorem 6.4 Average, Power, and Autocorrelation 6.4.1 Time Autocorrelation of Signals Chapter 7 - Musical Terminology 7.1 Basic Definitions 7.2 A Measure of Dynamics in Music 7.3 A Measure of Time in Music 7.4 Musical Notation and Accidentals Chapter 8 - Sound Theory 8.1 Sound Characteristics 8.1.1 The Sounds of an Acoustic Guitar 8.1.2 The Acoustic Guitar Characteristics 8.1.3 The Plucking Effect 8.2 Sound Envelope Chapter 9 - Acoustics and Cognition 9.1 Acoustics and the Brain 9.2 The Unit of Loudness 9.3 The Auditory System 9.4 The Physiology of Hearing 9.5 Transmission of Sound Waves 9.5.1 Modeling Sound Waves 9.6 Synesthesia and Music Chapter 10 - Voice Models 10.1 The Human Sound Apparatus 10.2 The Physiology of Human Voice 10.3 The Speech Production Mechanism 10.3.1 Speech Sound Classification 10.4 Vocal Cord Modeling 10.5 Speech Synthesis Techniques 10.5.1 Articulatory Synthesis 10.5.2 Concatenation Synthesis 10.5.3 Formant Synthesis 10.6 The Spoken and Sung Voice 10.7 The Voice Apparatus as a Musical Instrument Chapter 11 - Scale Formation 11.1 The Emergence of the Scales 11.2 Definition of Scale 11.3 Main Scales 11.3.1 Major Scale 11.3.2 Minor Scale 11.3.3 Other Scales 11.4 The Circle of Fifths 11.4.1 Chroma and Pitch Perception Chapter 12 - Consonance and Dissonance in Music 12.1 Definition 12.1.1 Consonance 12.1.2 Dissonance 12.2 Modeling Consonance and Dissonance 12.2.1 Beating and Dissonance 12.2.2 Precession Time and Consonance 12.2.3 An Additive Dissonance Metric 12.2.4 Frequency Ratios and Consonance 12.2.5 Euler and Music Chapter 13 - Note, Time, and Frequency 13.1 Tempo and Time in Music 13.2 A Definition of Note 13.3 Time and Frequency Representations of a Note Chapter 14 - Theory of Chord Formation 14.1 Chord Formation 14.2 Triad 14.3 Tetrachord Chapter 15 - Study of Melody and Composition 15.1 Definition of Melody 15.2 Elements of a Melody 15.3 Functional Harmony 15.4 Fundamentals of Composition 15.4.1 Musical Parameters 15.4.2 Initial Steps to Composition Chapter 16 - Musical Instruments 16.1 Instrumentation 16.2 Instruments of an Orchestra 16.3 Instruments of a Rock Band 16.4 Special Instruments Chapter 17 - Music Styles 17.1 Division of the Styles 17.2 Music Styles 17.2.1 Classic Music Styles 17.2.2 Modern Music Styles 17.2.3 Popular Music Styles 17.3 Human Voice Styles 17.3.1 Voice as an Instrument Appendix A - Basic Differentiation and Integration Rules A.1 Differentiation Rules A.2 Integration Rules Appendix B - Fourier Series and Transforms Appendix C: Notes, Frequencies, and Wavelengths Glossary of Musical Terminology Bibliography Index About the Author Back Cover