| Description |
1 online resource. |
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text file |
| Series |
River Publishers series in signal, image and speech processing
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River Publishers series in signal, image and speech processing.
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| Contents |
Preface xiii -- Acknowledgements xvii -- List of Figures xix -- List of Tables xxv -- 1 Elements and Philosophy of Music 1 -- 1.1 The Logic of Sound 1 -- 1.2 The Audio and the Video 3 -- 1.3 Made of Sound and Silence 5 -- 1.4 The Quantum Nature of Music 7 -- 1.5 The Sound Perception 10 -- 1.6 The Material and the Virtual 12 -- 1.7 The Organized Sound 14 -- 1.8 Music and Poetry 16 -- 2 History and Evolution of Music 21 -- 2.1 Music of the Evolution 21 -- 2.2 The Pre-Historic Antiquity 22 -- 2.3 Music Eras 24 -- 2.3.1 Middle Ages 24 -- 2.3.2 Renaissance 25 -- 2.3.3 Baroque 26 -- 2.3.4 Classic 26 -- 2.3.5 Romantic 26 -- 2.3.6 Modern Era 27 -- 2.3.7 Neoclassicism 28 -- 3 Music and Mathematics 29 -- 3.1 Music in Theory 29 -- 3.1.1 Equal Temperament 30 -- 3.1.2 Just Intonation 31 -- 3.2 The First Studies of Musical Consonance 34 -- 3.3 Mathematicians and Music 36 -- 3.4 The Decomposition of Music 41 -- 4 Signal Analysis 47 -- 4.1 Basic Fourier Analysis 47 -- 4.1.1 The Trigonometric Fourier Series 49 -- 4.1.2 The Compact Fourier Series 55 -- 4.1.3 The Exponential Fourier Series 56 -- 4.2 Convergence to Fourier Transform 58 -- 5 Fourier Transform Applications 61 -- 5.1 Fourier Transform 61 -- 5.1.1 Fourier Transform of the Impulse Function 61 -- 5.1.2 Transform of the Unit Step Function 63 -- 5.1.3 Transform of the Constant Function 64 -- 5.1.4 The Exponential Signal 65 -- 5.1.5 Bilateral Exponential Signal 67 -- 5.1.6 Transform of the Gate Function 68 -- 5.1.7 Fourier Transform of the Sine and Cosine Functions 70 -- 5.1.8 Fourier Transform of the Complex Exponential 70 -- 5.1.9 Fourier Transform of a Periodic Function 71 -- 6 Properties of the Fourier Transform 73 -- 6.1 Properties of the Fourier Transform 73 -- 6.1.1 Linearity the Fourier Transform 73 -- 6.1.2 Scaling Property 74 -- 6.1.3 Symmetry of Fourier Transform 75 -- 6.1.4 Time Domain Shift 76 -- 6.1.5 Frequency Domain Shift 76 -- 6.1.6 Differentiation in the Time Domain 76 -- 6.1.7 Integration in the Time Domain 77. |
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6.1.8 The Convolution Theorem in the Time Domain 78 -- 6.1.9 The Convolution Theorem in the Frequency Domain 80 -- 6.2 The Sampling Theorem 81 -- 6.3 Parseval's Theorem 85 -- 6.4 Average, Power, and Autocorrelation 85 -- 6.4.1 Time Autocorrelation of Signals 86 -- 7 Musical Terminology 91 -- 7.1 Basic Definitions 91 -- 7.2 A Measure of Dynamics in Music 94 -- 7.3 A Measure of Time in Music 95 -- 7.4 Musical Notation and Accidentals 96 -- 8 Sound Theory 103 -- 8.1 Sound Characteristics 103 -- 8.1.1 The Sounds of an Acoustic Guitar 104 -- 8.1.2 The Acoustic Guitar Characteristics 106 -- 8.1.3 The Plucking Effect 108 -- 8.2 Sound Envelope 111 -- 9 Acoustics and Cognition 115 -- 9.1 Acoustics and the Brain 115 -- 9.2 The Unit of Loudness 115 -- 9.3 The Auditory System 119 -- 9.4 The Physiology of Hearing 120 -- 9.5 Transmission of Sound Waves 122 -- 9.5.1 Modeling Sound Waves 123 -- 9.6 Synesthesia and Music 126 -- 10 Voice Models 129 -- 10.1 The Human Sound Apparatus 129 -- 10.2 The Physiology of Human Voice 130 -- 10.3 The Speech Production Mechanism 131 -- 10.3.1 Speech Sound Classification 133 -- 10.4 Vocal Cord Modeling 135 -- 10.5 Speech Synthesis Techniques 140 -- 10.5.1 Articulatory Synthesis 141 -- 10.5.2 Concatenation Synthesis 141 -- 10.5.3 Formant Synthesis 143 -- 10.6 The Spoken and Sung Voice 145 -- 10.7 The Voice Apparatus as a Musical Instrument 150 -- 11 Scale Formation 151 -- 11.1 The Emergence of the Scales 151 -- 11.2 Definition of Scale 151 -- 11.3 Main Scales 153 -- 11.3.1 Major Scale 153 -- 11.3.2 Minor Scale 154 -- 11.3.3 Other Scales 154 -- 11.4 The Circle of Fifths 155 -- 11.4.1 Chroma and Pitch Perception 155 -- 12 Consonance and Dissonance in Music 159 -- 12.1 Definition 159 -- 12.1.1 Consonance 159 -- 12.1.2 Dissonance 160 -- 12.2 Modeling Consonance and Dissonance 160 -- 12.2.1 Beating and Dissonance 160 -- 12.2.2 Precession Time and Consonance 162 -- 12.2.3 An Additive Dissonance Metric 162 -- 12.2.4 Frequency Ratios and Consonance 164. |
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12.2.5 Euler and Music 164 -- 13 Note, Time, and Frequency 167 -- 13.1 Tempo and Time in Music 167 -- 13.2 A Definition of Note 168 -- 13.3 Time and Frequency Representations of a Note 170 -- 14 Theory of Chord Formation 175 -- 14.1 Chord Formation 175 -- 14.2 Triad 175 -- 14.3 Tetrachord 178 -- 15 Study of Melody and Composition 179 -- 15.1 Definition of Melody 179 -- 15.2 Elements of a Melody 179 -- 15.3 Functional Harmony 181 -- 15.4 Fundamentals of Composition 182 -- 15.4.1 Musical Parameters 183 -- 15.4.2 Initial Steps to Composition 184 -- 16 Musical Instruments 187 -- 16.1 Instrumentation 187 -- 16.2 Instruments of an Orchestra 188 -- 16.3 Instruments of a Rock Band 198 -- 16.4 Special Instruments 202 -- 17 Music Styles 205 -- 17.1 Division of the Styles 205 -- 17.2 Music Styles 207 -- 17.2.1 Classic Music Styles 207 -- 17.2.2 Modern Music Styles 211 -- 17.2.3 Popular Music Styles 212 -- 17.3 Human Voice Styles 215 -- 17.3.1 Voice as an Instrument 216 Appendix A: Basic Differentiation and Integration Rules 219 A.1 Differentiation Rules 219 A.2 Integration Rules 221 Appendix B: Fourier Series and Transforms 223 Appendix C: Notes, Frequencies, and Wavelengths 229 Glossary of Musical Terminology 235 -- Bibliography 267 -- Index 281 -- About the Author 301. |
| Summary |
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. |
| Bibliography |
Includes bibliographical references and index (pages 267-279). |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Music -- Acoustics and physics.
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Music -- Acoustics and physics. |
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Music -- Mathematics.
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Music -- Mathematics. |
| Genre/Form |
Electronic books.
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Electronic books.
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| Other Form: |
Print version: 8770221308 9788770221306 (OCoLC)1130663807 |
| ISBN |
9788770221290 (electronic book) |
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8770221294 (electronic book) |
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8770221308 |
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9788770221306 |
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