253edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
=<span style="color: #590059; font-family: 'Times New Roman',Times,serif; font-size: 113%;">253 tone equal temperament</span>=
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 17:33:22 UTC</tt>.<br>
: The original revision id was <tt>602901206</tt>.<br>
: The revision comment was: <tt>Reverted to Aug 15, 2015 7:14 pm: reverted last (destructive) edits</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">=&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. 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. 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.
 
<u>'''253 tone equal modes:'''</u>
 
63 32 63 63 32: [[3L_2s|Pentatonic]]
 
43 43 19 43 43 43 19: [[5L_2s|Pythagorean tuning]]


__**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]]
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: [[23edo|"The Hendecapliqued superdiatonic of the Icositriphony"]]
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
 
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]]
 
**PRIME FACTORIZATION:**
20 20 20 11 20 20 20 20 11 20 20 20 20 11: [[11L_3s|Ketradektriatoh tuning]]
253 = [[11edo|11]] * [[23edo|23]]</pre></div>
 
<h4>Original HTML content:</h4>
'''PRIME FACTORIZATION:'''
<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;
253 = [[11edo|11]] * [[23edo|23]]     [[Category:edo]]
&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. 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;
[[Category:modes]]
&lt;br /&gt;
[[Category:nano]]
&lt;u&gt;&lt;strong&gt;253 tone equal modes:&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
[[Category:sesquiquartififths]]
63 32 63 63 32: &lt;a class="wiki_link" href="/3L%202s"&gt;Pentatonic&lt;/a&gt;&lt;br /&gt;
[[Category:superpythagorean]]
43 43 19 43 43 43 19: &lt;a class="wiki_link" href="/5L%202s"&gt;Pythagorean tuning&lt;/a&gt;&lt;br /&gt;
[[Category:theory]]
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;
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;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;
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;
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 00:00, 17 July 2018

253 tone equal temperament

253-EDO or 253-tET divides the octave into 253 equal steps of 4.743083 cents each. 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 sesquiquartififths temperament.

253 tone equal modes:

63 32 63 63 32: Pentatonic

43 43 19 43 43 43 19: Pythagorean tuning

41 41 24 41 41 41 24: Meantonic tuning

35 35 35 35 35 35 35 8: Porcupine tuning

33 33 33 11 33 33 33 33 11: "The Hendecapliqued superdiatonic of the Icositriphony"

31 31 31 18 31 31 31 31 18: Superdiatonic tuning in the way of Mavila

26 26 15 26 26 26 15 26 26 26 15: Sensi tuning

20 20 20 11 20 20 20 20 11 20 20 20 20 11: Ketradektriatoh tuning

PRIME FACTORIZATION:

253 = 11 * 23

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