<-- Back to Gina Collecchia's website
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.
1.1 Numbers
1.2 Functions
1.3 Calculus
1.4 Notation
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
3.1 Rhythm
3.2 Pitch
3.3 Tuning and temperament
3.4 Timbre
3.5 Chapter summary
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
5.1 Physiology of the ear
5.2 Psychoacoustics
5.3 Perfect pitch
5.4 Chapter summary
6.1 Sampling
6.2 Compression
6.3 Chapter summary
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
8.1 Discrete-time Fourier transform (DTFT)
8.2 Fast Fourier transform (FFT)
8.3 Short-time Fourier transform (STFT)
8.4 Chapter summary
A.1 Ohm's Law
A.2 Filtering
A.3 The Z-Transform
A.4 Chapter summary
B.1 Matlab
B.2 Mathematica
B.3 C