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Numbers & Notes - Table of Contents

Collecchia, Regina. Numbers & Notes: An Introduction to Musical Signal Processing. Portland, OR: PSI Press, Inc., 2012. 318 pages.

All images by Sarah Powers and the author.

Preface

Contents

1 Review of mathematical notation and functions

1.1 Numbers

1.2 Functions

1.3 Calculus

1.4 Notation

2 Physical sound

2.1 What is sound?

2.2 Simple harmonic motion

2.3 Complex harmonic motion

2.4 Harmonicity, periodicity, and perfect intervals

2.5 Properties of waves

2.6 Chapter summary

3 Musical sound

3.1 Rhythm

3.2 Pitch

3.3 Tuning and temperament

3.4 Timbre

3.5 Chapter summary

4 Musical instruments

4.1 The piano

4.2 The viol family

4.3 Woodwinds and brasses

4.4 Drums

4.5 Electric guitars and effects units

4.6 Chapter summary

5 Auditory perception

5.1 Physiology of the ear

5.2 Psychoacoustics

5.3 Perfect pitch

5.4 Chapter summary

6 Digital audio basics

6.1 Sampling

6.2 Compression

6.3 Chapter summary

7 The discrete Fourier transform

7.1 The Fourier series

7.2 Euler's formula

7.3 The discrete Fourier transform

7.4 The DFT, simplified

7.5 Examples

7.6 Chapter summary

8 Other Fourier transforms

8.1 Discrete-time Fourier transform (DTFT)

8.2 Fast Fourier transform (FFT)

8.3 Short-time Fourier transform (STFT)

8.4 Chapter summary

A Frequency-selective circuits

A.1 Ohm's Law

A.2 Filtering

A.3 The Z-Transform

A.4 Chapter summary

B Using computers to do Fourier transforms

B.1 Matlab

B.2 Mathematica

B.3 C

References

Glossary

Index

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