## Musimathics: The Mathematical Foundations of Music, Volume 2 |

### What people are saying - Write a review

#### Review: Musimathics: The Mathematical Foundations of Music (Volume 1)

User Review - Carl - GoodreadsThis book brought together a great number of threads that I had discovered for myself in a more cohesive way. The math and the physics behind our perception of music has allowed me to approach composition in a completely different way. Read full review

#### Review: Musimathics: The Mathematical Foundations of Music (Volume 1)

User Review - Rolf William - GoodreadsThe first volume of this book is a survey of cherry picked topics in music and math as it relates to music. There were a lot of errors in the musical notation, which makes me wonder how much of the ... Read full review

### Contents

Digital Signals and Sampling | 1 |

Musical Signals | 49 |

Spectral Analysis and Synthesis | 103 |

Copyright | |

10 other sections not shown

### Common terms and phrases

acceleration acoustical aliasing allpass filter amplitude angle audio band bandwidth binary coefficients complex number complex plane components constant convolution convolved corresponding cosine wave counterclockwise defined delay line derivative discrete displacement dissipation encoding energy example force Fourier transform frequency domain frequency response fundamental analysis harmonic Hilbert transform imaginary number impedance impulse response impulse train increases infinite input signal integer inverse length linear lowpass filter magnitude modulation motion multiply negative frequencies noise nonlinear Nyquist frequency oscillator output period phasor positive frequencies pressure probe phasor quantization quency radians range ratio reactance real number rectangular function reflected resonant result rotation sampling rate scaled sequence shown in figure shows sidebands sine wave sinusoid sound spectral spectrum STFT string synthesis theorem timbre transfer function tube unit circle vector velocity vibration volume wave equation waveform waveguide Xk(n Z transform zero