2100edo: Difference between revisions

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**Imported revision 268443454 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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|quarter-comma meantone]].
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>2011-10-25 14:13:56 UTC</tt>.<br>
: The original revision id was <tt>268443454</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 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>
<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-comma%20meantone"&gt;quarter-comma meantone&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

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 helmholtz temperament, and the 7-limit sesquiquartififths temperament. As with any equal division of this size, it supports a number of possible meantone tunings, but <2100 3319 4876 5890| is notable for being nearly identical to quarter-comma meantone.