70edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 405216070 - Original comment: **
Wikispaces>Osmiorisbendi
**Imported revision 437654160 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-02-07 11:35:15 UTC</tt>.<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2013-06-11 18:01:57 UTC</tt>.<br>
: The original revision id was <tt>405216070</tt>.<br>
: The original revision id was <tt>437654160</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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>
<h4>Original Wikitext content:</h4>
<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">=&lt;span style="color: #013841; font-size: 113%;"&gt;70 tone equal temperament&lt;/span&gt;=  
<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">=&lt;span style="color: #013841; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;70 tone equal temperament&lt;/span&gt;=  


The //70 equal division// divides the octave into 70 equal parts of 17.14286 [[cent]]s each. It was singled out by William Stoney in his article "Theoretical Possibilities for Equally Tempered Systems" (in the book //The Computer and Music//) as one of the six best systems of size 72 or smaller, along with 72, 58, 53, 65 and 41. These other systems have had notice paid to them, but the same does not seem to be true of 70, which seems to have been ignored ever since.
The //70 equal division// divides the octave into 70 equal parts of 17.14286 [[cent]]s each. It was singled out by William Stoney in his article "Theoretical Possibilities for Equally Tempered Systems" (in the book //The Computer and Music//) as one of the six best systems of size 72 or smaller, along with 72, 58, 53, 65 and 41. These other systems have had notice paid to them, but the same does not seem to be true of 70, which seems to have been ignored ever since.
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The 17-limit [[k*N subgroups|2*70]] subgroup, on which 70 is tuned like [[140edo]], is 2.3.25.35.11.13.17.</pre></div>
The 17-limit [[k*N subgroups|2*70]] subgroup, on which 70 is tuned like [[140edo]], is 2.3.25.35.11.13.17.</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<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;70edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x70 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #013841; font-size: 113%;"&gt;70 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
<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;70edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x70 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #013841; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;70 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
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  &lt;br /&gt;
The &lt;em&gt;70 equal division&lt;/em&gt; divides the octave into 70 equal parts of 17.14286 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It was singled out by William Stoney in his article &amp;quot;Theoretical Possibilities for Equally Tempered Systems&amp;quot; (in the book &lt;em&gt;The Computer and Music&lt;/em&gt;) as one of the six best systems of size 72 or smaller, along with 72, 58, 53, 65 and 41. These other systems have had notice paid to them, but the same does not seem to be true of 70, which seems to have been ignored ever since.&lt;br /&gt;
The &lt;em&gt;70 equal division&lt;/em&gt; divides the octave into 70 equal parts of 17.14286 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It was singled out by William Stoney in his article &amp;quot;Theoretical Possibilities for Equally Tempered Systems&amp;quot; (in the book &lt;em&gt;The Computer and Music&lt;/em&gt;) as one of the six best systems of size 72 or smaller, along with 72, 58, 53, 65 and 41. These other systems have had notice paid to them, but the same does not seem to be true of 70, which seems to have been ignored ever since.&lt;br /&gt;