Gammes Bien Reparties et Transformee de Fourier discrete

Details Gammes Bien Reparties et Transformee de Fourier discrete Gammes Bien Reparties et Transformee de Fourier discrete

2006-04-09

arxiv.org/abs/math/0604210v1

Mathematics

Combinatorics

16 pages, 8 color figures. Due to problems with the arXiv compilation, the figures are given aside the sourcecode

Scientific paper

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of Maximally Even Sets based on discrete Fourier transform, with several elementary but interesting and previously unpublished results.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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