| Preface to the Archival Version (Spring, 2011) |
| Preface and Acknowledgments |
| How to Use the Web Site |
| The Vision of Mathematics Across the Curriculum |
| Scanned copy of the Teaching Guide (8.4MB pdf file) |
|
| Introduction |
| |
| Chapter 1 | | The Digital Representation of Sound, Part One:
Sound and Timbre |
| 1.1 | What is Sound? |
| 1.2 | Amplitude |
| 1.3 | Frequency, Pitch and Intervals |
| 1.4 | Timbre |
| |
| Chapter 2 | | The Digital Representation of Sound, Part Two:
Playing by the Numbers |
| 2.1 | The Digital Representation of Sound |
| 2.2 | Analog v. Digital |
| 2.3 | Sampling Theory |
| 2.4 | Binary Numbers |
| 2.5 | Bit Width |
| 2.6 | Digital Copying |
| 2.7 | Storage Concerns |
| 2.8 | Compression |
| |
| Chapter 3 | | The Frequency Domain |
| 3.1 | The Frequency Domain |
| 3.2 | Phasors |
| 3.3 | Fourier and the Sum of Sines |
| 3.4 | The DFT, FFT and IFFT |
| 3.5 | Problems with the FFT/IFFT |
| 3.6 | Some Alternatives to the FFT |
| |
| Chapter 4 | | The Synthesis of Sound by Computer |
| 4.1 | Introduction to Synthesis |
| 4.2 | Additive Synthesis |
| 4.3 | Filters |
| 4.4 | Formant Synthesis |
| 4.5 | Introduction to Modulation |
| 4.6 | Waveshaping |
| 4.7 | Frequency Modulation |
| 4.8 | Granular Synthesis |
| 4.9 | Physical Modeling |
| |
| Chapter 5 | | The Transformation of Sound by Computer |
| 5.1 | Sampling |
| 5.2 | Reverb |
| 5.3 | Localization/Spatialization |
| 5.4 | The Phase Vocoder |
| 5.5 | Convolution |
| 5.6 | Morphing |
| 5.7 | Graphical Manipulation |
