253edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author JosephRuhf and made on 2016-09-04 21:36:53 UTC.
- The original revision id was 591050176.
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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:**__ [[tel:63 32 63 63 32|63 32 63 63 32]]: [[3L 2s|Pentatonic]] [[tel:43 43 19 43 43 43 19|43 43 19 43 43 43 19]]: [[5L 2s|Pythagorean tuning]] [[tel:41 41 24 41 41 41 24|41 41 24 41 41 41 24]]: [[Meantone|Meantonic tuning]] [[tel:35 35 35 35 35 35 35|35 35 35 35 35 35 35]] 8: [[7L 1s|Porcupine tuning]] [[tel:31 31 31 18 31 31 31|31 31 31 18 31 31 31]] 31 18: [[7L 2s|Superdiatonic tuning]] in the way of Mavila [[tel:26 26 15 26 26 26 15|26 26 15 26 26 26 15]] [[tel:26 26 26 15|26 26 26 15]]: [[sensi11|Sensi tuning]] [[tel:20 20 20 11 20 20 20|20 20 20 11 20 20 20]] [[tel:20 11 20 20 20 20 11|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:<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 /> <a class="wiki_link" href="http://tel.wikispaces.com/63%2032%2063%2063%2032">63 32 63 63 32</a>: <a class="wiki_link" href="/3L%202s">Pentatonic</a><br /> <a class="wiki_link" href="http://tel.wikispaces.com/43%2043%2019%2043%2043%2043%2019">43 43 19 43 43 43 19</a>: <a class="wiki_link" href="/5L%202s">Pythagorean tuning</a><br /> <a class="wiki_link" href="http://tel.wikispaces.com/41%2041%2024%2041%2041%2041%2024">41 41 24 41 41 41 24</a>: <a class="wiki_link" href="/Meantone">Meantonic tuning</a><br /> <a class="wiki_link" href="http://tel.wikispaces.com/35%2035%2035%2035%2035%2035%2035">35 35 35 35 35 35 35</a> 8: <a class="wiki_link" href="/7L%201s">Porcupine tuning</a><br /> <a class="wiki_link" href="http://tel.wikispaces.com/31%2031%2031%2018%2031%2031%2031">31 31 31 18 31 31 31</a> 31 18: <a class="wiki_link" href="/7L%202s">Superdiatonic tuning</a> in the way of Mavila<br /> <a class="wiki_link" href="http://tel.wikispaces.com/26%2026%2015%2026%2026%2026%2015">26 26 15 26 26 26 15</a> <a class="wiki_link" href="http://tel.wikispaces.com/26%2026%2026%2015">26 26 26 15</a>: <a class="wiki_link" href="/sensi11">Sensi tuning</a><br /> <a class="wiki_link" href="http://tel.wikispaces.com/20%2020%2020%2011%2020%2020%2020">20 20 20 11 20 20 20</a> <a class="wiki_link" href="http://tel.wikispaces.com/20%2011%2020%2020%2020%2020%2011">20 11 20 20 20 20 11</a>: <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>