A singular measure of dissonance: Difference between revisions
Jump to navigation
Jump to search
+cats |
some links |
||
| Line 1: | Line 1: | ||
'''A Singular Measure of Dissonance''' is an 2018 article by [[Alexandre Guillet]]. | '''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. | 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: | ||
Revision as of 13:43, 17 October 2020
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:
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.