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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>
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| : This revision was by author [[User:AlexandreGuillet|AlexandreGuillet]] and made on <tt>2018-07-07 14:24:09 UTC</tt>.<br>
| | 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. |
| : The original revision id was <tt>630830641</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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">This page intend 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 functions pop 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 and some details are missing, but it will be enough, I hope, to discuss these ideas.</pre></div> | | [[File:Number theoretical Measure of Musicality.pdf]] |
| <h4>Original HTML content:</h4>
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| <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"><html><head><title>A singular measure of dissonance</title></head><body>This page intend 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 functions pop up naturally as a correction reflecting the influence of a timbre in a sound.<br />
| | 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. |
| You will find a lengthy but also messy development of these ideas in the following file:<br />
| | |
| <!-- ws:start:WikiTextFileRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/Number%20theoretical%20Measure%20of%20Musicality.pdf?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@Number theoretical Measure of Musicality.pdf&quot; title=&quot;File: Number theoretical Measure of Musicality.pdf&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/Number%20theoretical%20Measure%20of%20Musicality.pdf/630830625/Number%20theoretical%20Measure%20of%20Musicality.pdf" onclick="ws.common.trackFileLink('/file/view/Number%20theoretical%20Measure%20of%20Musicality.pdf/630830625/Number%20theoretical%20Measure%20of%20Musicality.pdf');"><img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="Number theoretical Measure of Musicality.pdf" /></a><div><a href="/file/view/Number%20theoretical%20Measure%20of%20Musicality.pdf/630830625/Number%20theoretical%20Measure%20of%20Musicality.pdf" onclick="ws.common.trackFileLink('/file/view/Number%20theoretical%20Measure%20of%20Musicality.pdf/630830625/Number%20theoretical%20Measure%20of%20Musicality.pdf');" class="filename" title="Number theoretical Measure of Musicality.pdf">Number theoretical Measure of Musicality.pdf</a><br /><ul><li><a href="/file/detail/Number%20theoretical%20Measure%20of%20Musicality.pdf">Details</a></li><li><a href="/file/view/Number%20theoretical%20Measure%20of%20Musicality.pdf/630830625/Number%20theoretical%20Measure%20of%20Musicality.pdf">Download</a></li><li style="color: #666">384 KB</li></ul></div></div><!-- ws:end:WikiTextFileRule:0 --><br />
| | [[Category:Consonance and dissonance]] |
| The notations need to be cleaned up and homogenized a bit and some details are missing, but it will be enough, I hope, to discuss these ideas.</body></html></pre></div>
| | [[Category:Reading]] |
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.