253edo: Difference between revisions

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**Imported revision 337605706 - Original comment: **
Wikispaces>Osmiorisbendi
**Imported revision 429134596 - 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-05-20 15:30:04 UTC</tt>.<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2013-05-06 05:02:51 UTC</tt>.<br>
: The original revision id was <tt>337605706</tt>.<br>
: The original revision id was <tt>429134596</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>
<h4>Original Wikitext content:</h4>
<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">=&lt;span style="color: #630080;"&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: #590059; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;253 tone equal temperament&lt;/span&gt;=  


**//253-EDO//** or **253-tET** divides the octave into 253 equal steps of 4.743083 Cents, each one. 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.
**//253-EDO//** or **253-tET** divides the octave into 253 equal steps of 4.743083 Cents, each one. 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.


__**253 tone equal modes:**__
__**253 tone equal modes:**__
63 32 63 63 32: [[3L 2s|Sub-Diatonic tuning]]
63 32 63 63 32: [[3L 2s|Pentatonic]]
43 43 19 43 43 43 19: [[5L 2s|Pythagorean tuning]]
43 43 19 43 43 43 19: [[5L 2s|Pythagorean tuning]]
41 41 24 41 41 41 24: [[Meantone|Meantonic tuning]]
41 41 24 41 41 41 24: [[Meantone|Meantonic tuning]]
35 35 35 35 35 35 35 8: [[7L 1s|Porcupine tuning]]
35 35 35 35 35 35 35 8: [[7L 1s|Porcupine tuning]]
33 33 33 11 33 33 33 33 11: Hornbostel [[23edo|"Undecaplicated"]]
33 33 33 11 33 33 33 33 11: [[23edo|"The Hendecapliqued superdiatonic of the Icositriphony"]]
31 31 31 18 31 31 31 31 18: [[7L 2s|Armodue-Mávila]] 1/31-tone tuning
31 31 31 18 31 31 31 31 18: [[7L 2s|Superdiatonic tuning]] in the way of Mavila
26 26 15 26 26 26 15 26 26 26 15: [[sensi11|Sensi tuning]]
26 26 15 26 26 26 15 26 26 26 15: [[sensi11|Sensi tuning]]
20 20 20 11 20 20 20 20 11 20 20 20 20 11: [[11L 3s|Ketradektriatoh tuning]]
20 20 20 11 20 20 20 20 11 20 20 20 20 11: [[11L 3s|Ketradektriatoh tuning]]
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253 = [[11edo|11]] * [[23edo|23]]</pre></div>
253 = [[11edo|11]] * [[23edo|23]]</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;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;"&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: #590059; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;253 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;strong&gt;&lt;em&gt;253-EDO&lt;/em&gt;&lt;/strong&gt; or &lt;strong&gt;253-tET&lt;/strong&gt; divides the octave into 253 equal steps of 4.743083 Cents, each one. It approximates the fifth by &lt;strong&gt;148\253&lt;/strong&gt;, which is 701.976285 cents, a mere &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;
&lt;strong&gt;&lt;em&gt;253-EDO&lt;/em&gt;&lt;/strong&gt; or &lt;strong&gt;253-tET&lt;/strong&gt; divides the octave into 253 equal steps of 4.743083 Cents, each one. It approximates the fifth by &lt;strong&gt;148\253&lt;/strong&gt;, which is 701.976285 cents, a mere &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;
&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;253 tone equal modes:&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;253 tone equal modes:&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
63 32 63 63 32: &lt;a class="wiki_link" href="/3L%202s"&gt;Sub-Diatonic tuning&lt;/a&gt;&lt;br /&gt;
63 32 63 63 32: &lt;a class="wiki_link" href="/3L%202s"&gt;Pentatonic&lt;/a&gt;&lt;br /&gt;
43 43 19 43 43 43 19: &lt;a class="wiki_link" href="/5L%202s"&gt;Pythagorean tuning&lt;/a&gt;&lt;br /&gt;
43 43 19 43 43 43 19: &lt;a class="wiki_link" href="/5L%202s"&gt;Pythagorean tuning&lt;/a&gt;&lt;br /&gt;
41 41 24 41 41 41 24: &lt;a class="wiki_link" href="/Meantone"&gt;Meantonic tuning&lt;/a&gt;&lt;br /&gt;
41 41 24 41 41 41 24: &lt;a class="wiki_link" href="/Meantone"&gt;Meantonic tuning&lt;/a&gt;&lt;br /&gt;
35 35 35 35 35 35 35 8: &lt;a class="wiki_link" href="/7L%201s"&gt;Porcupine tuning&lt;/a&gt;&lt;br /&gt;
35 35 35 35 35 35 35 8: &lt;a class="wiki_link" href="/7L%201s"&gt;Porcupine tuning&lt;/a&gt;&lt;br /&gt;
33 33 33 11 33 33 33 33 11: Hornbostel &lt;a class="wiki_link" href="/23edo"&gt;&amp;quot;Undecaplicated&amp;quot;&lt;/a&gt;&lt;br /&gt;
33 33 33 11 33 33 33 33 11: &lt;a class="wiki_link" href="/23edo"&gt;&amp;quot;The Hendecapliqued superdiatonic of the Icositriphony&amp;quot;&lt;/a&gt;&lt;br /&gt;
31 31 31 18 31 31 31 31 18: &lt;a class="wiki_link" href="/7L%202s"&gt;Armodue-Mávila&lt;/a&gt; 1/31-tone tuning&lt;br /&gt;
31 31 31 18 31 31 31 31 18: &lt;a class="wiki_link" href="/7L%202s"&gt;Superdiatonic tuning&lt;/a&gt; in the way of Mavila&lt;br /&gt;
26 26 15 26 26 26 15 26 26 26 15: &lt;a class="wiki_link" href="/sensi11"&gt;Sensi tuning&lt;/a&gt;&lt;br /&gt;
26 26 15 26 26 26 15 26 26 26 15: &lt;a class="wiki_link" href="/sensi11"&gt;Sensi tuning&lt;/a&gt;&lt;br /&gt;
20 20 20 11 20 20 20 20 11 20 20 20 20 11: &lt;a class="wiki_link" href="/11L%203s"&gt;Ketradektriatoh tuning&lt;/a&gt;&lt;br /&gt;
20 20 20 11 20 20 20 20 11 20 20 20 20 11: &lt;a class="wiki_link" href="/11L%203s"&gt;Ketradektriatoh tuning&lt;/a&gt;&lt;br /&gt;
&lt;strong&gt;PRIME FACTORIZATION:&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;PRIME FACTORIZATION:&lt;/strong&gt;&lt;br /&gt;
253 = &lt;a class="wiki_link" href="/11edo"&gt;11&lt;/a&gt; * &lt;a class="wiki_link" href="/23edo"&gt;23&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
253 = &lt;a class="wiki_link" href="/11edo"&gt;11&lt;/a&gt; * &lt;a class="wiki_link" href="/23edo"&gt;23&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 05:02, 6 May 2013

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author Osmiorisbendi and made on 2013-05-06 05:02:51 UTC.
The original revision id was 429134596.
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:

=<span style="color: #590059; font-family: 'Times New Roman',Times,serif; font-size: 113%;">253 tone equal temperament</span>= 

**//253-EDO//** or **253-tET** divides the octave into 253 equal steps of 4.743083 Cents, each one. 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.

__**253 tone equal modes:**__
63 32 63 63 32: [[3L 2s|Pentatonic]]
43 43 19 43 43 43 19: [[5L 2s|Pythagorean tuning]]
41 41 24 41 41 41 24: [[Meantone|Meantonic tuning]]
35 35 35 35 35 35 35 8: [[7L 1s|Porcupine tuning]]
33 33 33 11 33 33 33 33 11: [[23edo|"The Hendecapliqued superdiatonic of the Icositriphony"]]
31 31 31 18 31 31 31 31 18: [[7L 2s|Superdiatonic tuning]] in the way of Mavila
26 26 15 26 26 26 15 26 26 26 15: [[sensi11|Sensi tuning]]
20 20 20 11 20 20 20 20 11 20 20 20 20 11: [[11L 3s|Ketradektriatoh tuning]]
**PRIME FACTORIZATION:**
253 = [[11edo|11]] * [[23edo|23]]

Original HTML content:

<html><head><title>253edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x253 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #590059; font-family: 'Times New Roman',Times,serif; font-size: 113%;">253 tone equal temperament</span></h1>
 <br />
<strong><em>253-EDO</em></strong> or <strong>253-tET</strong> divides the octave into 253 equal steps of 4.743083 Cents, each one. It approximates the fifth by <strong>148\253</strong>, which is 701.976285 cents, a mere <strong>0.004487 Cents sharp</strong>. 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 <a class="wiki_link" href="/Schismatic%20family">sesquiquartififths</a> temperament.<br />
<br />
<u><strong>253 tone equal modes:</strong></u><br />
63 32 63 63 32: <a class="wiki_link" href="/3L%202s">Pentatonic</a><br />
43 43 19 43 43 43 19: <a class="wiki_link" href="/5L%202s">Pythagorean tuning</a><br />
41 41 24 41 41 41 24: <a class="wiki_link" href="/Meantone">Meantonic tuning</a><br />
35 35 35 35 35 35 35 8: <a class="wiki_link" href="/7L%201s">Porcupine tuning</a><br />
33 33 33 11 33 33 33 33 11: <a class="wiki_link" href="/23edo">&quot;The Hendecapliqued superdiatonic of the Icositriphony&quot;</a><br />
31 31 31 18 31 31 31 31 18: <a class="wiki_link" href="/7L%202s">Superdiatonic tuning</a> in the way of Mavila<br />
26 26 15 26 26 26 15 26 26 26 15: <a class="wiki_link" href="/sensi11">Sensi tuning</a><br />
20 20 20 11 20 20 20 20 11 20 20 20 20 11: <a class="wiki_link" href="/11L%203s">Ketradektriatoh tuning</a><br />
<strong>PRIME FACTORIZATION:</strong><br />
253 = <a class="wiki_link" href="/11edo">11</a> * <a class="wiki_link" href="/23edo">23</a></body></html>