253edo: Difference between revisions

Wikispaces>guest
**Imported revision 217996960 - Original comment: **
Wikispaces>Osmiorisbendi
**Imported revision 226634192 - 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:guest|guest]] and made on <tt>2011-04-07 03:18:06 UTC</tt>.<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-05-09 00:48:27 UTC</tt>.<br>
: The original revision id was <tt>217996960</tt>.<br>
: The original revision id was <tt>226634192</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">=&lt;span style="color: #630080; font-size: 113%;"&gt;253 tone equal temperament&lt;/span&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;white-space: pre-wrap ! important" class="old-revision-html">=&lt;span style="color: #630080; font-size: 113%;"&gt;253 tone equal temperament&lt;/span&gt;=  


253edo divides the octave into 253 steps of 4.743083 cents. It approximates the fifth by 148\253, which is 701.976285 cents, a mere 0.004487 cents sharp. The primes from 5 to 17 are all slightly flat. It tempers out 32805/32768 in the 5-limit; 2401/2400 in the 7-limit; 385/384, 1375/1372 and 4000/3993 in the 11-limit; 325/324, 1575/1573 and 2200/2197 in the 13-limit; 375/374 and 595/594 in the 17-limit. It provides a good tuning for higher-limit [[Schismatic family|sesquiquartififths]] temperament.
253edo divides the octave into 253 steps of 4.743083 cents. It approximates the fifth by **148\253**, which is 701.976285 Cents, a **0.004487 Cents sharp**. The primes from 5 to 17 are all slightly flat. It tempers out 32805/32768 in the 5-limit; 2401/2400 in the 7-limit; 385/384, 1375/1372 and 4000/3993 in the 11-limit; 325/324, 1575/1573 and 2200/2197 in the 13-limit; 375/374 and 595/594 in the 17-limit. It provides a good tuning for higher-limit [[Schismatic family|sesquiquartififths]] temperament.


**253 tone equal modes**
__**253 tone equal modes**__


43 43 19 43 43 43 19: MOS of 5L 2s ([[Superpythagorean]] Tuning)
43 43 19 43 43 43 19: MOS of 5L 2s ([[Superpythagorean]] Tuning)
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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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;253edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x253 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #630080; font-size: 113%;"&gt;253 tone equal temperament&lt;/span&gt;&lt;/h1&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;253edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x253 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #630080; font-size: 113%;"&gt;253 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
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253edo divides the octave into 253 steps of 4.743083 cents. It approximates the fifth by 148\253, which is 701.976285 cents, a mere 0.004487 cents sharp. The primes from 5 to 17 are all slightly flat. It tempers out 32805/32768 in the 5-limit; 2401/2400 in the 7-limit; 385/384, 1375/1372 and 4000/3993 in the 11-limit; 325/324, 1575/1573 and 2200/2197 in the 13-limit; 375/374 and 595/594 in the 17-limit. It provides a good tuning for higher-limit &lt;a class="wiki_link" href="/Schismatic%20family"&gt;sesquiquartififths&lt;/a&gt; temperament.&lt;br /&gt;
253edo divides the octave into 253 steps of 4.743083 cents. It approximates the fifth by &lt;strong&gt;148\253&lt;/strong&gt;, which is 701.976285 Cents, a &lt;strong&gt;0.004487 Cents sharp&lt;/strong&gt;. The primes from 5 to 17 are all slightly flat. It tempers out 32805/32768 in the 5-limit; 2401/2400 in the 7-limit; 385/384, 1375/1372 and 4000/3993 in the 11-limit; 325/324, 1575/1573 and 2200/2197 in the 13-limit; 375/374 and 595/594 in the 17-limit. It provides a good tuning for higher-limit &lt;a class="wiki_link" href="/Schismatic%20family"&gt;sesquiquartififths&lt;/a&gt; temperament.&lt;br /&gt;
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&lt;strong&gt;253 tone equal modes&lt;/strong&gt;&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;253 tone equal modes&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;br /&gt;
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43 43 19 43 43 43 19: MOS of 5L 2s (&lt;a class="wiki_link" href="/Superpythagorean"&gt;Superpythagorean&lt;/a&gt; Tuning)&lt;br /&gt;
43 43 19 43 43 43 19: MOS of 5L 2s (&lt;a class="wiki_link" href="/Superpythagorean"&gt;Superpythagorean&lt;/a&gt; Tuning)&lt;br /&gt;