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math.GR2009
About the number of generators of a musical scale
Emmanuel Amiot
Several musical scales, like the major scale, can be described as finite arithmetic sequences modulo octave, i.e. chunks of an arithmetic sequence in a cyclic group. Hence the ques…
math.GR2009★ 3 cited
On the group of rational spectral units with finite order
Emmanuel Amiot
The problem of phase retrieval is a difficult one which remains far from solved. Two homometric sets are always connected by way of a convolution product by some spectral unit, tho…