730edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''730 equal temperament'' divides the octave into 730 equal parts of 1.644 cents each. It is a very strong five-limit system, but is also distinctly consistent up to the 15-limit. It tempers out the minortone comma, |-16 35 -17&gt;, the kwasy comma, |-53 10 16&gt;, the whoosh comma, |37 25 -33&gt; and the pirate comma, |-90 -15 49&gt;. In the 7-limit it tempers out 4375/4374 and | -21 0 3 5 &gt;, so that it supports [[Ragismic_microtemperaments#Mitonic|mitonic temperament]]. In the 11-limit, 3025/3024 and | 4 -3 -6 4 1 &gt; , so that it supports [[Ragismic_microtemperaments#Deca|deca temperament]]. In the 13-limit, 1001/1000 and 4225/4224, supporting 13-limit deca.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-08 14:38:15 UTC</tt>.<br>
: The original revision id was <tt>601732478</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>
<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 //730 equal temperament// divides the octave into 730 equal parts of 1.644 cents each. It is a very strong five-limit system, but is also distinctly consistent up to the 15-limit. It tempers out the minortone comma, |-16 35 -17&gt;, the kwasy comma, |-53 10 16&gt;, the whoosh comma, |37 25 -33&gt; and the pirate comma, |-90 -15 49&gt;. In the 7-limit it tempers out 4375/4374 and | -21 0 3 5 &gt;, so that it supports [[Ragismic microtemperaments#Mitonic|mitonic temperament]]. In the 11-limit, 3025/3024 and | 4 -3 -6 4 1 &gt; , so that it supports [[Ragismic microtemperaments#Deca|deca temperament]]. In the 13-limit, 1001/1000 and 4225/4224, supporting 13-limit deca.


W. S. B. Woolhouse proposed 730edo as a logarithmic measure of [[interval size measure|interval size]], sometimes called the Woolhouse unit. While 730 is divisible by 2, 5, 10, 73, 146 and 365, it is not divisible by 12, which can be regarded as either a good thing or a bad one.
W. S. B. Woolhouse proposed 730edo as a logarithmic measure of [[Interval_size_measure|interval size]], sometimes called the Woolhouse unit. While 730 is divisible by 2, 5, 10, 73, 146 and 365, it is not divisible by 12, which can be regarded as either a good thing or a bad one.


[[http://sonic-arts.org/monzo/woolhouse/essay.htm|A summary of W. S. B. Woolhouse's Essay on musical intervals]] [[http://www.webcitation.org/5zxZzQ3eS|Permalink]]</pre></div>
[http://sonic-arts.org/monzo/woolhouse/essay.htm A summary of W. S. B. Woolhouse's Essay on musical intervals] [http://www.webcitation.org/5zxZzQ3eS Permalink]
<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;730edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;730 equal temperament&lt;/em&gt; divides the octave into 730 equal parts of 1.644 cents each. It is a very strong five-limit system, but is also distinctly consistent up to the 15-limit. It tempers out the minortone comma, |-16 35 -17&amp;gt;, the kwasy comma, |-53 10 16&amp;gt;, the whoosh comma, |37 25 -33&amp;gt; and the pirate comma, |-90 -15 49&amp;gt;. In the 7-limit it tempers out 4375/4374 and | -21 0 3 5 &amp;gt;, so that it supports &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Mitonic"&gt;mitonic temperament&lt;/a&gt;. In the 11-limit, 3025/3024 and | 4 -3 -6 4 1 &amp;gt; , so that it supports &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Deca"&gt;deca temperament&lt;/a&gt;. In the 13-limit, 1001/1000 and 4225/4224, supporting 13-limit deca.&lt;br /&gt;
&lt;br /&gt;
W. S. B. Woolhouse proposed 730edo as a logarithmic measure of &lt;a class="wiki_link" href="/interval%20size%20measure"&gt;interval size&lt;/a&gt;, sometimes called the Woolhouse unit. While 730 is divisible by 2, 5, 10, 73, 146 and 365, it is not divisible by 12, which can be regarded as either a good thing or a bad one.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://sonic-arts.org/monzo/woolhouse/essay.htm" rel="nofollow"&gt;A summary of W. S. B. Woolhouse's Essay on musical intervals&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5zxZzQ3eS" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>