A singular measure of dissonance: Difference between revisions
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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. | '''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&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: | 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. | 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]] | |||