1 From sound to numbers, to classes of integers modulo n
2 Sequences and intervals
3 Some geometric musical spaces
4 Conclusion and perspectives
5 Solutions or Indications for Exercises.
Biography
Emmanuel AMIOT is a French mathematician and musician: alongside his studies at the Nice Conservatory (piano with Ms Audibert-Lambert in particular), he pursued his scientific studies (ENS Saint-Cloud, agrégation, PhD), and was able to synthesise these disciplines through the founding of the Society for Mathematics and Computation in Music, http://www.smcm-net.info/ in 2007. Long time co-editor in chief of the Journal of Mathematics and Music (published by Taylor and Francis), he is an academician (EASA) and author of numerous conferences and reference articles on the topic, including the monography Music through Fourier Space. His work is authoritative on discrete Fourier transform of musical structures (scales, rhythms), rhythmic canons, and homometry, all subjects that will be carefully avoided in this book. Retired from the national education system, he devotes himself to his research, publications, conferences, and concerts.
