[图书][B] Music through Fourier space

E Amiot - 2016 - Springer
This book is not about harmonics, analysis or synthesis of sound. It deals with harmonic
analysis but in the abstract realm of musical structures: scales, chords, rhythms, etc. It was …

David Lewin and maximally even sets

E Amiot - Journal of Mathematics and Music, 2007 - Taylor & Francis
David Lewin originated an impressive number of new ideas in musical formalized analysis.
This paper formally proves and expands one of the numerous innovative ideas published by …

Euclidean rhythm with palindromic rests

P Mukherjee - … Conference on Mathematics and Computation in …, 2024 - Springer
Through a deep inspection of the rhythmic structures used in Indian Classical music, one
can easily see how frequently Euclidean rhythms are used. There is a particular kind of …

Construction of smooth rhythms through a monotone invariant measure

F Hazama - arXiv preprint arXiv:2209.02868, 2022 - arxiv.org
The present article introduces the notion of quasi-smoothness of marked rhythms through a
certain transformation $ Ref $, called reformation map. A marked rhythm consists of a rhythm …

Gammes bien réparties et transformée de Fourier discrète

E Amiot - … et sciences humaines. Mathematics and social …, 2007 - journals.openedition.org
Un des concepts les plus intéressants de ces dernières années dans la recherche
mathématico-musicale américaine est celui de «Maximally Even Set», ou gamme bien …