A singular measure of dissonance

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This page intends to bring some new elements to the zeta function puzzling link to Math&Music. The main feature consists in the use of a singular measure linked to continued fraction sequences. The zeta function pops up naturally as a correction reflecting the influence of a timbre in a sound.

You will find a lengthy but also messy development of these ideas in the following file:

Number theoretical Measure of Musicality.pdf

The notations need to be cleaned up and homogenized a bit (for instance the unnamed Mellin transform) and some details are missing, but it will be enough, I hope, to discuss these ideas.