Table of contents

1 Harmonic Models
- Musical Sounds
- Musical Intervals
- Fourrier Analysis
- Physical Models
- Sonance Models
- Geometric Models
- Affinity Models
(...)

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This book provides a unified account of mathematical tools for music theory and analysis, as alternatives to empirical methods. It constitutes a unique reference.
The first chapters of the book take as its subject the staple (basic, essential, age-old...) topics in systematic musicology, harmonic and sonance models, Helmoltz research, Costère affinity models aswell as chords and scales taxonomy using group action method Messiaen’s limited transposition modes are generalized to n-tone equal temperament.
Methods reviewed by the author (...)

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See presentation of the book (Ircam site)

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