A singular measure of dissonance: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''A Singular Measure of Dissonance''' is an 2018 article by [[Alexandre Guillet]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:AlexandreGuillet|AlexandreGuillet]] and made on <tt>2018-07-07 13:46:44 UTC</tt>.<br>
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.
: The original revision id was <tt>630830515</tt>.<br>
 
: The revision comment was: <tt></tt><br>
You will find a lengthy but also messy development of these ideas in the following file:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 
<h4>Original Wikitext content:</h4>
[[File:Number theoretical Measure of Musicality.pdf]]
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">A first test $\int f(x) dx$</pre></div>
 
<h4>Original HTML content:</h4>
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.
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;A singular measure of dissonance&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A first test $\int f(x) dx$&lt;/body&gt;&lt;/html&gt;</pre></div>
 
[[Category:Consonance and dissonance]]
[[Category:Reading]]

Latest revision as of 18:39, 4 March 2023

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.

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