301edo: Difference between revisions

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**Imported revision 555523615 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 555523779 - 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>2015-07-20 11:14:00 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-07-20 11:18:40 UTC</tt>.<br>
: The original revision id was <tt>555523615</tt>.<br>
: The original revision id was <tt>555523779</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>
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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">The 301 equal division divides the octave into 301 equal parts of 3.98671 cents each. It is a strong 7-limit system, and distinctly consistent through the 17-limit. It tempers out 32805/32768 in the 5-limit, 2401/2400 in the 7-limit, 3025/3024, 5632/5625, 8019/8000 in the 11-limit, 847/845, 729/728, 1001/1000, 1716/1715 in the 13-limit, and 561/560, 833/832, 1089/1088, 1156/1155, 1275/1274 and 1701/1700 in the 17-limit. Because it tempers out both 32805/32768 and 2401/2400, it supports sesquiquartififths temperament.
<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 301 equal division divides the octave into 301 equal parts of 3.98671 cents each. It is a strong 7-limit system, and distinctly consistent through the 17-limit. It tempers out 32805/32768 in the 5-limit, 2401/2400 in the 7-limit, 3025/3024, 5632/5625, 8019/8000 in the 11-limit, 847/845, 729/728, 1001/1000, 1716/1715 in the 13-limit, and 561/560, 833/832, 1089/1088, 1156/1155, 1275/1274 and 1701/1700 in the 17-limit. Because it tempers out both 32805/32768 and 2401/2400, it supports sesquiquartififths temperament.


301 is a composite number, since 301 = 7 * 43. This is related to the proposal of the French mathematician and physicist [[https://en.wikipedia.org/wiki/Joseph_Sauveur|Joseph Sauveur]] to divide the octave in 43 parts called //merides//, and those into seven more parts called //heptamerides//. Back in the days of slide rules and log tables, this made sense since by multiplying the log base ten of the interval in question by 1000, one came close to how many heptamerides it constituted.</pre></div>
301 is a composite number, since 301 = 7 * 43. This is related to the proposal of the deaf French mathematician and acoustician [[https://en.wikipedia.org/wiki/Joseph_Sauveur|Joseph Sauveur]] to divide the octave in 43 parts called //merides//, and those into seven more parts called //heptamerides//. Back in the days of slide rules and log tables, this made sense since by multiplying the log base ten of the interval in question by 1000, one came close to how many heptamerides it constituted.</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;301edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 301 equal division divides the octave into 301 equal parts of 3.98671 cents each. It is a strong 7-limit system, and distinctly consistent through the 17-limit. It tempers out 32805/32768 in the 5-limit, 2401/2400 in the 7-limit, 3025/3024, 5632/5625, 8019/8000 in the 11-limit, 847/845, 729/728, 1001/1000, 1716/1715 in the 13-limit, and 561/560, 833/832, 1089/1088, 1156/1155, 1275/1274 and 1701/1700 in the 17-limit. Because it tempers out both 32805/32768 and 2401/2400, it supports sesquiquartififths temperament.&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;301edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 301 equal division divides the octave into 301 equal parts of 3.98671 cents each. It is a strong 7-limit system, and distinctly consistent through the 17-limit. It tempers out 32805/32768 in the 5-limit, 2401/2400 in the 7-limit, 3025/3024, 5632/5625, 8019/8000 in the 11-limit, 847/845, 729/728, 1001/1000, 1716/1715 in the 13-limit, and 561/560, 833/832, 1089/1088, 1156/1155, 1275/1274 and 1701/1700 in the 17-limit. Because it tempers out both 32805/32768 and 2401/2400, it supports sesquiquartififths temperament.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
301 is a composite number, since 301 = 7 * 43. This is related to the proposal of the French mathematician and physicist &lt;a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Joseph_Sauveur" rel="nofollow"&gt;Joseph Sauveur&lt;/a&gt; to divide the octave in 43 parts called &lt;em&gt;merides&lt;/em&gt;, and those into seven more parts called &lt;em&gt;heptamerides&lt;/em&gt;. Back in the days of slide rules and log tables, this made sense since by multiplying the log base ten of the interval in question by 1000, one came close to how many heptamerides it constituted.&lt;/body&gt;&lt;/html&gt;</pre></div>
301 is a composite number, since 301 = 7 * 43. This is related to the proposal of the deaf French mathematician and acoustician &lt;a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Joseph_Sauveur" rel="nofollow"&gt;Joseph Sauveur&lt;/a&gt; to divide the octave in 43 parts called &lt;em&gt;merides&lt;/em&gt;, and those into seven more parts called &lt;em&gt;heptamerides&lt;/em&gt;. Back in the days of slide rules and log tables, this made sense since by multiplying the log base ten of the interval in question by 1000, one came close to how many heptamerides it constituted.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 11:18, 20 July 2015

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author genewardsmith and made on 2015-07-20 11:18:40 UTC.
The original revision id was 555523779.
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 301 equal division divides the octave into 301 equal parts of 3.98671 cents each. It is a strong 7-limit system, and distinctly consistent through the 17-limit. It tempers out 32805/32768 in the 5-limit, 2401/2400 in the 7-limit, 3025/3024, 5632/5625, 8019/8000 in the 11-limit, 847/845, 729/728, 1001/1000, 1716/1715 in the 13-limit, and 561/560, 833/832, 1089/1088, 1156/1155, 1275/1274 and 1701/1700 in the 17-limit. Because it tempers out both 32805/32768 and 2401/2400, it supports sesquiquartififths temperament.

301 is a composite number, since 301 = 7 * 43. This is related to the proposal of the deaf French mathematician and acoustician [[https://en.wikipedia.org/wiki/Joseph_Sauveur|Joseph Sauveur]] to divide the octave in 43 parts called //merides//, and those into seven more parts called //heptamerides//. Back in the days of slide rules and log tables, this made sense since by multiplying the log base ten of the interval in question by 1000, one came close to how many heptamerides it constituted.

Original HTML content:

<html><head><title>301edo</title></head><body>The 301 equal division divides the octave into 301 equal parts of 3.98671 cents each. It is a strong 7-limit system, and distinctly consistent through the 17-limit. It tempers out 32805/32768 in the 5-limit, 2401/2400 in the 7-limit, 3025/3024, 5632/5625, 8019/8000 in the 11-limit, 847/845, 729/728, 1001/1000, 1716/1715 in the 13-limit, and 561/560, 833/832, 1089/1088, 1156/1155, 1275/1274 and 1701/1700 in the 17-limit. Because it tempers out both 32805/32768 and 2401/2400, it supports sesquiquartififths temperament.<br />
<br />
301 is a composite number, since 301 = 7 * 43. This is related to the proposal of the deaf French mathematician and acoustician <a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Joseph_Sauveur" rel="nofollow">Joseph Sauveur</a> to divide the octave in 43 parts called <em>merides</em>, and those into seven more parts called <em>heptamerides</em>. Back in the days of slide rules and log tables, this made sense since by multiplying the log base ten of the interval in question by 1000, one came close to how many heptamerides it constituted.</body></html>
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