253edo: Difference between revisions
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Wikispaces>JosephRuhf **Imported revision 591050176 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 601656672 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016- | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-07 16:42:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>601656672</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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__**253 tone equal modes:**__ | __**253 tone equal modes:**__ | ||
63 32 63 63 32/1: [[3L 2s|Pentatonic]] | |||
43 43 19 43 43 43 19/1: [[5L 2s|Pythagorean tuning]] | |||
41 41 24 41 41 41 24/1: [[Meantone|Meantonic tuning]] | |||
27 8 27 8 27 8 27 8 27 8 27 8 27 8 8: [[7L 1s|Porcupine 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 15/1 26 26 26 15/1: [[sensi11|Sensi tuning]] | |||
20 20 20 11 20 20 20/1 20 11 20 20 20 20 11/1: [[11L 3s|Ketradektriatoh tuning]] | |||
**PRIME FACTORIZATION:** | **PRIME FACTORIZATION:** | ||
253 = [[11edo|11]] * [[23edo|23]]</pre></div> | 253 = [[11edo|11]] * [[23edo|23]]</pre></div> | ||
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<br /> | <br /> | ||
<u><strong>253 tone equal modes:</strong></u><br /> | <u><strong>253 tone equal modes:</strong></u><br /> | ||
63 32 63 63 32/1: <a class="wiki_link" href="/3L%202s">Pentatonic</a><br /> | |||
43 43 19 43 43 43 19/1: <a class="wiki_link" href="/5L%202s">Pythagorean tuning</a><br /> | |||
41 41 24 41 41 41 24/1: <a class="wiki_link" href="/Meantone">Meantonic tuning</a><br /> | |||
27 8 27 8 27 8 27 8 27 8 27 8 27 8 8: <a class="wiki_link" href="/7L%201s">Porcupine tuning</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 15/1 26 26 26 15/1: <a class="wiki_link" href="/sensi11">Sensi tuning</a><br /> | |||
20 20 20 11 20 20 20/1 20 11 20 20 20 20 11/1: <a class="wiki_link" href="/11L%203s">Ketradektriatoh tuning</a><br /> | |||
<strong>PRIME FACTORIZATION:</strong><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></pre></div> | 253 = <a class="wiki_link" href="/11edo">11</a> * <a class="wiki_link" href="/23edo">23</a></body></html></pre></div> | ||
Revision as of 16:42, 7 December 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-12-07 16:42:07 UTC.
- The original revision id was 601656672.
- 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. 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 32/1: [[3L 2s|Pentatonic]] 43 43 19 43 43 43 19/1: [[5L 2s|Pythagorean tuning]] 41 41 24 41 41 41 24/1: [[Meantone|Meantonic tuning]] 27 8 27 8 27 8 27 8 27 8 27 8 27 8 8: [[7L 1s|Porcupine 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 15/1 26 26 26 15/1: [[sensi11|Sensi tuning]] 20 20 20 11 20 20 20/1 20 11 20 20 20 20 11/1: [[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:<h1> --><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. 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 32/1: <a class="wiki_link" href="/3L%202s">Pentatonic</a><br /> 43 43 19 43 43 43 19/1: <a class="wiki_link" href="/5L%202s">Pythagorean tuning</a><br /> 41 41 24 41 41 41 24/1: <a class="wiki_link" href="/Meantone">Meantonic tuning</a><br /> 27 8 27 8 27 8 27 8 27 8 27 8 27 8 8: <a class="wiki_link" href="/7L%201s">Porcupine tuning</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 15/1 26 26 26 15/1: <a class="wiki_link" href="/sensi11">Sensi tuning</a><br /> 20 20 20 11 20 20 20/1 20 11 20 20 20 20 11/1: <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>