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>

Revision as of 00:00, 17 July 2018

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>, the kwasy comma, |-53 10 16>, the whoosh comma, |37 25 -33> and the pirate comma, |-90 -15 49>. In the 7-limit it tempers out 4375/4374 and | -21 0 3 5 >, so that it supports mitonic temperament. In the 11-limit, 3025/3024 and | 4 -3 -6 4 1 > , so that it supports 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, 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.

A summary of W. S. B. Woolhouse's Essay on musical intervals Permalink