12276edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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~~-08-~~22 19~~:48:39 UTC</tt>.<br>

: This revision was by author [[User:hearneg|hearneg]] and made on <tt>2017-06-17 05:15:55 UTC</tt>.<br>

: The original revision id was <tt>~~557183285~~</tt>.<br>

: The original revision id was <tt>614809973</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 12276 division divides the octave into equal steps of size 0.097752 cents. It is a strong 11-limit system, with a lower 11-limit relative error than any division aside from [[6691edo|6691]]. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are [[12edo|12]], [[22edo|22]], [[31edo|31]], [[99edo|99]] and [[198edo|198]].</pre></div>

<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 12276 division divides the octave into equal steps of size 0.097752 cents. This creates a unit known as the **prima,** useful for measurement of 11-limit intervals and commas. The Pythagorean comma is represented by 240 prima, and the syntonic comma by 220. A prima is almost exactly three **tuning units**.

12276 is a strong 11-limit system, with a lower 11-limit relative error than any division aside from [[6691edo|6691]]. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are [[12edo|12]], [[22edo|22]], [[31edo|31]], [[99edo|99]] and [[198edo|198]]. 12276 tempers out the atom, so that the Pythagorean and syntonic commas an be approximated by 12 and 11 schismas respectively. </pre></div>

<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"><html><head><title>12276edo</title></head><body>The 12276 division divides the octave into equal steps of size 0.097752 cents. It is a strong 11-limit system, with a lower 11-limit relative error than any division aside from <a class="wiki_link" href="/6691edo">6691</a>. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/99edo">99</a> and <a class="wiki_link" href="/198edo">198</a>.</body></html></pre></div>

<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"><html><head><title>12276edo</title></head><body>The 12276 division divides the octave into equal steps of size 0.097752 cents. This creates a unit known as the <strong>prima,</strong> useful for measurement of 11-limit intervals and commas. The Pythagorean comma is represented by 240 prima, and the syntonic comma by 220. A prima is almost exactly three <strong>tuning units</strong>. <br />

<br />

12276 is a strong 11-limit system, with a lower 11-limit relative error than any division aside from <a class="wiki_link" href="/6691edo">6691</a>. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/99edo">99</a> and <a class="wiki_link" href="/198edo">198</a>. 12276 tempers out the atom, so that the Pythagorean and syntonic commas an be approximated by 12 and 11 schismas respectively.</body></html></pre></div>

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2015-08-22 19:48:39 UTC</tt>.<br>
+: This revision was by author [[User:hearneg|hearneg]] and made on <tt>2017-06-17 05:15:55 UTC</tt>.<br>
-: The original revision id was <tt>557183285</tt>.<br>
+: The original revision id was <tt>614809973</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 12276 division divides the octave into equal steps of size 0.097752 cents. It is a strong 11-limit system, with a lower 11-limit relative error than any division aside from [[6691edo|6691]]. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are [[12edo|12]], [[22edo|22]], [[31edo|31]], [[99edo|99]] and [[198edo|198]].</pre></div>
+<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 12276 division divides the octave into equal steps of size 0.097752 cents. This creates a unit known as the **prima,** useful for measurement of 11-limit intervals and commas. The Pythagorean comma is represented by 240 prima, and the syntonic comma by 220. A prima is almost exactly three **tuning units**.
+is a strong 11-limit system, with a lower 11-limit relative error than any division aside from [[6691edo|6691]]. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are [[12edo|12]], [[22edo|22]], [[31edo|31]], [[99edo|99]] and [[198edo|198]]. 12276 tempers out the atom, so that the Pythagorean and syntonic commas an be approximated by 12 and 11 schismas respectively. </pre></div>
 <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;12276edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 12276 division divides the octave into equal steps of size 0.097752 cents. It is a strong 11-limit system, with a lower 11-limit relative error than any division aside from &lt;a class="wiki_link" href="/6691edo"&gt;6691&lt;/a&gt;. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/99edo"&gt;99&lt;/a&gt; and &lt;a class="wiki_link" href="/198edo"&gt;198&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
+<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;12276edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 12276 division divides the octave into equal steps of size 0.097752 cents. This creates a unit known as the &lt;strong&gt;prima,&lt;/strong&gt; useful for measurement of 11-limit intervals and commas. The Pythagorean comma is represented by 240 prima, and the syntonic comma by 220. A prima is almost exactly three &lt;strong&gt;tuning units&lt;/strong&gt;. &lt;br /&gt;
+&lt;br /&gt;
+is a strong 11-limit system, with a lower 11-limit relative error than any division aside from &lt;a class="wiki_link" href="/6691edo"&gt;6691&lt;/a&gt;. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/99edo"&gt;99&lt;/a&gt; and &lt;a class="wiki_link" href="/198edo"&gt;198&lt;/a&gt;. 12276 tempers out the atom, so that the Pythagorean and syntonic commas an be approximated by 12 and 11 schismas respectively.&lt;/body&gt;&lt;/html&gt;</pre></div>