Redaktsioon: 3. oktoober 2016, kell 14:35 redigeeri Andrus Kallastu (arutelu \| kaastöö) 7286 muudatust →‎Kirjandus ← Vanem muudatus		Redaktsioon: 3. oktoober 2016, kell 14:43 redigeeri eemalda Andrus Kallastu (arutelu \| kaastöö) 7286 muudatust →‎Kirjandus Uuem muudatus →
7. rida: ==Kirjandus== Garet Loy. Musimatics. Vol I and II. http://www.musimathics.com/ :Sisukord: ::Volume I :::Foreword by Max Mathews xiii :::Preface xv :::About the Author xvi :::Acknowledgments xvii :::1 Music and Sound 1 :::1.1 Basic Properties of Sound 1 :::1.2 Waves 3 :::1.3 Summary 9 :::2 Representing Music 11 :::2.1 Notation 11 :::2.2 Tones, Notes, and Scores 12 :::2.3 Pitch 13 :::2.4 Scales 16 :::2.5 Interval Sonorities 18 :::2.6 Onset and Duration 26 :::2.7 Musical Loudness 27 :::2.8 Timbre 28 :::2.9 Summary 37 :::3 Musical Scales, Tuning, and Intonation 39 :::3.1 Equal-Tempered Intervals 39 :::3.2 Equal-Tempered Scale 40 :::3.3 Just Intervals and Scales 43 :::3.4 The Cent Scale 45 :::3.5 A Taxonomy of Scales 46 :::3.6 Do Scales Come from Timbre or Proportion? 47 :::3.7 Harmonic Proportion 48 :::3.8 Pythagorean Diatonic Scale 49 :::3.9 The Problem of Transposing Just Scales 51 :::3.10 Consonance of Intervals 56 :::3.11 The Powers of the Fifth and the Octave Do Not Form a Closed System 66 :::3.12 Designing Useful Scales Requires Compromise 67 :::3.13 Tempered Tuning Systems 68 :::3.14 Microtonality 72 :::3.15 Rule of 18 82 :::3.16 Deconstructing Tonal Harmony 85 :::3.17 Deconstructing the Octave 86 :::3.18 The Prospects for Alternative Tunings 93 :::3.19 Summary 93 :::3.20 Suggested Reading 95 :::4 Physical Basis of Sound 97 :::4.1 Distance 97 :::4.2 Dimension 97 :::4.3 Time 98 :::4.4 Mass 99 :::4.5 Density 100 :::4.6 Displacement 100 :::4.7 Speed 101 :::4.8 Velocity 102 :::4.9 Instantaneous Velocity 102 :::4.10 Acceleration 104 :::4.11 Relating Displacement,Velocity, Acceleration, and Time 106 :::4.12 Newton's Laws of Motion 108 :::4.13 Types of Force 109 :::4.14 Work and Energy 110 :::4.15 Internal and External Forces 112 :::4.16 The Work-Energy Theorem 112 :::4.17 Conservative and Nonconservative Forces 113 :::4.18 Power 114 :::4.19 Power of Vibrating Systems 114 :::4.20 Wave Propagation 116 :::4.21 Amplitude and Pressure 117 :::4.22 Intensity 118 :::4.23 Inverse Square Law 118 :::4.24 Measuring Sound Intensity 119 :::4.25 Summary 125 :::5 Geometrical Basis of Sound 129 :::5.1 Circular Motion and Simple Harmonic Motion 129 :::5.2 Rotational Motion 129 :::5.3 Projection of Circular Motion 136 :::5.4 Constructing a Sinusoid 139 :::5.5 Energy of Waveforms 143 :::5.6 Summary 147 :::6 Psychophysical Basis of Sound 149 :::6.1 Signaling Systems 149 :::6.2 The Ear 150 :::6.3 Psychoacoustics and Psychophysics 154 :::6.4 Pitch 156 :::6.5 Loudness 166 :::6.6 Frequency Domain Masking 171 :::6.7 Beats 173 :::6.8 Combination Tones 175 :::6.9 Critical Bands 176 :::6.10 Duration 182 :::6.11 Consonance and Dissonance 184 :::6.12 Localization 187 :::6.13 Externalization 191 :::6.14 Timbre 195 :::6.15 Summary 198 :::6.16 Suggested Reading 198 :::7 Introduction to Acoustics 199 :::7.1 Sound and Signal 199 :::7.2 A Simple Transmission Model 199 :::7.3 How Vibrations Travel in Air 200 :::7.4 Speed of Sound 202 :::7.5 Pressure Waves 207 :::7.6 Sound Radiation Models 208 :::7.7 Superposition and Interference 210 :::7.8 Reflection 210 :::7.9 Refraction 218 :::7.10 Absorption 221 :::7.11 Diffraction 222 :::7.12 Doppler Effect 228 :::7.13 Room Acoustics 233 :::7.14 Summary 238 :::7.15 Suggested Reading 238 :::8 Vibrating Systems 239 :::8.1 Simple Harmonic Motion Revisited 239 :::8.2 Frequency of Vibrating Systems 241 :::8.3 Some Simple Vibrating Systems 243 :::8.4 The Harmonic Oscillator 247 :::8.5 Modes of Vibration 249 :::8.6 A Taxonomy of Vibrating Systems 251 :::8.7 One-Dimensional Vibrating Systems 252 :::8.8 Two-Dimensional Vibrating Elements 266 :::8.9 Resonance (Continued) 270 :::8.10 Transiently Driven Vibrating Systems 278 :::8.11 Summary 282 :::8.12 Suggested Reading 283 :::9 Composition and Methodology 285 :::9.1 Guido's Method 285 :::9.2 Methodology and Composition 288 :::9.3 Musimat: A Simple Programming Language for Music 290 :::9.4 Program for Guido's Method 291 :::9.5 Other Music Representation Systems 292 :::9.6 Delegating Choice 293 :::9.7 Randomness 299 :::9.8 Chaos and Determinism 304 :::9.9 Combinatorics 306 :::9.10 Atonality 311 :::9.11 Composing Functions 317 :::9.12 Traversing and Manipulating Musical Materials 319 :::9.13 Stochastic Techniques 332 :::9.14 Probability 333 :::9.15 Information Theory and the Mathematics of Expectation 343 :::9.16 Music, Information, and Expectation 347 :::9.17 Form in Unpredictability 350 :::9.18 Monte Carlo Methods 360 :::9.19 Markov Chains 363 :::9.20 Causality and Composition 371 :::9.21 Learning 372 :::9.22 Music and Connectionism 376 :::9.23 Representing Musical Knowledge 390 :::9.24 Next-Generation Musikalische Würfelspiel 400 :::9.25 Calculating Beauty 406 :::Appendix A 409 :::A.1 Exponents 409 :::A.2 Logarithms 409 :::A.3 Series and Summations 410 :::A.4 About Trigonometry 411 :::A.5 Xeno's Paradox 414 :::A.6 Modulo Arithmetic and Congruence 414 :::A.7 Whence 0.161 in Sabine's Equation? 416 :::A.8 Excerpts from Pope John XXII's Bull Regarding Church Music 418 :::A.9 Greek Alphabet 419 :::Appendix B 421 :::B.1 Musimat 421 :::B.2 Music Datatypes in Musimat 439 :::B.3 Unicode (ASCII) Character Codes 450 :::B.4 Operator Associativity and Precedence in Musimat 450 :::Glossary 453 :::Notes 459 :::References 465 :::Equation Index 473 :::Subject Index ::Volume II Dave Benson. Music, a mathematical offering.

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