100edo: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 340652774 - Original comment: **
Wikispaces>Dodecaphobe
**Imported revision 515154264 - 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>2012-05-29 16:03:39 UTC</tt>.<br>
: This revision was by author [[User:Dodecaphobe|Dodecaphobe]] and made on <tt>2014-06-28 04:25:31 UTC</tt>.<br>
: The original revision id was <tt>340652774</tt>.<br>
: The original revision id was <tt>515154264</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">The 100 equal temperament divides the octave into 100 equal parts of precisely 12 cents each. It is closely related to 50edo, but the patent vals differ on the mapping for 7. It tempers out 6144/6125 in the 7-limit, 99/98 and 441/440 in the 11-limit and 144/143 in the 13-limit, and like 50 81/80 in the 5-limit. It provides the optimal patent val for the 11- and 13- limit 43&amp;57 temperament tempering out 81/80, 99/98, 1350/1331, and in the 13-limit, 144/143.
<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">The 100 equal temperament divides the octave into 100 equal parts of precisely 12 cents each. It is closely related to 50edo, but the patent vals differ on the mapping for 7. It tempers out 6144/6125 in the 7-limit, 99/98 and 441/440 in the 11-limit and 144/143 in the 13-limit, and like 50 81/80 in the 5-limit. It provides the optimal patent val for the 11- and 13- limit 43&amp;57 temperament tempering out 81/80, 99/98, 1350/1331, and in the 13-limit, 144/143.
Like [[88edo]], 100edo possesses two approximations of the perfect fifth (at 58\100 and 59\100 respectively), each almost exactly six cents from just. One interesting consequence of this property is that one may have a closed circle of twelve good fifths (four wide, eight narrow) that bears little resemblance to [[12edo]].


=Scales=  
=Scales=  
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<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;100edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 100 equal temperament divides the octave into 100 equal parts of precisely 12 cents each. It is closely related to 50edo, but the patent vals differ on the mapping for 7. It tempers out 6144/6125 in the 7-limit, 99/98 and 441/440 in the 11-limit and 144/143 in the 13-limit, and like 50 81/80 in the 5-limit. It provides the optimal patent val for the 11- and 13- limit 43&amp;amp;57 temperament tempering out 81/80, 99/98, 1350/1331, and in the 13-limit, 144/143.&lt;br /&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;100edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 100 equal temperament divides the octave into 100 equal parts of precisely 12 cents each. It is closely related to 50edo, but the patent vals differ on the mapping for 7. It tempers out 6144/6125 in the 7-limit, 99/98 and 441/440 in the 11-limit and 144/143 in the 13-limit, and like 50 81/80 in the 5-limit. It provides the optimal patent val for the 11- and 13- limit 43&amp;amp;57 temperament tempering out 81/80, 99/98, 1350/1331, and in the 13-limit, 144/143.&lt;br /&gt;
&lt;br /&gt;
Like &lt;a class="wiki_link" href="/88edo"&gt;88edo&lt;/a&gt;, 100edo possesses two approximations of the perfect fifth (at 58\100 and 59\100 respectively), each almost exactly six cents from just. One interesting consequence of this property is that one may have a closed circle of twelve good fifths (four wide, eight narrow) that bears little resemblance to &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Scales&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Scales&lt;/h1&gt;
  &lt;a class="wiki_link" href="/greeley8"&gt;greeley8&lt;/a&gt;&lt;br /&gt;
  &lt;a class="wiki_link" href="/greeley8"&gt;greeley8&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/greeley15"&gt;greeley15&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link" href="/greeley15"&gt;greeley15&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 04:25, 28 June 2014

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author Dodecaphobe and made on 2014-06-28 04:25:31 UTC.
The original revision id was 515154264.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

The 100 equal temperament divides the octave into 100 equal parts of precisely 12 cents each. It is closely related to 50edo, but the patent vals differ on the mapping for 7. It tempers out 6144/6125 in the 7-limit, 99/98 and 441/440 in the 11-limit and 144/143 in the 13-limit, and like 50 81/80 in the 5-limit. It provides the optimal patent val for the 11- and 13- limit 43&57 temperament tempering out 81/80, 99/98, 1350/1331, and in the 13-limit, 144/143.

Like [[88edo]], 100edo possesses two approximations of the perfect fifth (at 58\100 and 59\100 respectively), each almost exactly six cents from just. One interesting consequence of this property is that one may have a closed circle of twelve good fifths (four wide, eight narrow) that bears little resemblance to [[12edo]].

=Scales= 
[[greeley8]]
[[greeley15]]

Original HTML content:

<html><head><title>100edo</title></head><body>The 100 equal temperament divides the octave into 100 equal parts of precisely 12 cents each. It is closely related to 50edo, but the patent vals differ on the mapping for 7. It tempers out 6144/6125 in the 7-limit, 99/98 and 441/440 in the 11-limit and 144/143 in the 13-limit, and like 50 81/80 in the 5-limit. It provides the optimal patent val for the 11- and 13- limit 43&amp;57 temperament tempering out 81/80, 99/98, 1350/1331, and in the 13-limit, 144/143.<br />
<br />
Like <a class="wiki_link" href="/88edo">88edo</a>, 100edo possesses two approximations of the perfect fifth (at 58\100 and 59\100 respectively), each almost exactly six cents from just. One interesting consequence of this property is that one may have a closed circle of twelve good fifths (four wide, eight narrow) that bears little resemblance to <a class="wiki_link" href="/12edo">12edo</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1>
 <a class="wiki_link" href="/greeley8">greeley8</a><br />
<a class="wiki_link" href="/greeley15">greeley15</a></body></html>