View source for A singular measure of dissonance

'''A Singular Measure of Dissonance''' is an 2018 article by [[Alexandre Guillet]].

This page intends to bring some new elements to the [[zeta]] function puzzling link to Math&amp;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:

[[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.

[[Category:Consonance and dissonance]]
[[Category:Reading]]