2100edo: Difference between revisions

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**Imported revision 268443334 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox ET}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}}
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-25 14:13:37 UTC</tt>.<br>
 
: The original revision id was <tt>268443334</tt>.<br>
The [[patent val]] [[Tempering out|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit [[schismatic|schismatic aka helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but the 1219\2100 fifth is notable for being an extremely close approximation to [[quarter-comma meantone]].
: 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>
=== Odd harmonics ===
<h4>Original Wikitext content:</h4>
{{Harmonics in equal|2100}}
<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 2100 equal division divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka [[Schismatic family|helmholtz]] temperament, and the 7-limit [[Schismatic family#Sesquiquartififths|sesquiquartififths temperament]]. As with any equal division of this size, it supports a number of possible meantone tunings, but &lt;2100 3319 4876 5890| is notable for being nearly identical to [[quarter comma meantone]].</pre></div>
 
<h4>Original HTML content:</h4>
=== Subsets and supersets ===
<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;2100edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 2100 equal division divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka &lt;a class="wiki_link" href="/Schismatic%20family"&gt;helmholtz&lt;/a&gt; temperament, and the 7-limit &lt;a class="wiki_link" href="/Schismatic%20family#Sesquiquartififths"&gt;sesquiquartififths temperament&lt;/a&gt;. As with any equal division of this size, it supports a number of possible meantone tunings, but &amp;lt;2100 3319 4876 5890| is notable for being nearly identical to &lt;a class="wiki_link" href="/quarter%20comma%20meantone"&gt;quarter comma meantone&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
Since 2100 factors into {{factorization|2100}}, 2100edo has subset edos {{EDOs| 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, and 1050 }}.
 
[[Category:Meantone]]