253edo: Difference between revisions
Wikispaces>Osmiorisbendi **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> | : 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> | : 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">=<span style="color: # | <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">=<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-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| | 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: | 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| | 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"><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: # | <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"><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 /> | <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 /> | <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 /> | <br /> | ||
<u><strong>253 tone equal modes:</strong></u><br /> | <u><strong>253 tone equal modes:</strong></u><br /> | ||
63 32 63 63 32: <a class="wiki_link" href="/3L%202s"> | 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 /> | 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 /> | 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 /> | 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: | 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"> | 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 /> | 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 /> | 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 /> | <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> | ||