Gammes Bien Reparties et Transformee de Fourier discrete
Emmanuel Amiot
Abstract
This paper, in french, gives a new approach to the concept of Maximally Even Sets based on discrete Fourier transform, with several elementary but interesting and previously unpublished results. Maximally Even Sets have been invented by musicologists but have been found to bear deep relationships to other areas of science, such as the Ising model in Physics. They describe economically and characterise many famous 'scales' or subsets of the cyclic group as modelised here.
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