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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | ''51[[EDO|edo]]'' divides the [[Octave|octave]] into 51 equal parts of 23.529 [[cent|cent]]s each, which is about the size of the [http://en.wikipedia.org/wiki/Pythagorean_comma Pythagorean comma] (even though this comma itself is mapped to a different interval). It tempers out [[250/243|250/243]] in the [[5-limit|5-limit]], [[225/224|225/224]] and [[2401/2400|2401/2400]] in the [[7-limit|7-limit]], and [[55/54|55/54]] and [[100/99|100/99]] in the [[11-limit|11-limit]]. It is the [[Optimal_patent_val|optimal patent val]] for [[Porcupine_rank_three_family|sonic]], the rank three temperament tempering out 250/243, 55/54 and 100/99, and also for the rank four temperament tempering out 55/54. It provides an alternative tuning to [[22edo|22edo]] for [[Porcupine_family|porcupine temperament]], with a nice fifth but a rather flat major third, and the optimal patent val for 7- and 11-limit [[Porcupine_family#Porky|porky temperament]], which is sonic plus 225/224. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | [[Category:51edo]] |
| : This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-09-18 02:31:15 UTC</tt>.<br>
| | [[Category:edo]] |
| : The original revision id was <tt>592509138</tt>.<br>
| | [[Category:theory]] |
| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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">//51[[edo]]// divides the [[octave]] into 51 equal parts of 23.529 [[cent]]s each, which is about the size of the [[http://en.wikipedia.org/wiki/Pythagorean_comma|Pythagorean comma]] (even though this comma itself is mapped to a different interval). It tempers out [[250_243|250/243]] in the [[5-limit]], [[225_224|225/224]] and [[2401_2400|2401/2400]] in the [[7-limit]], and [[55_54|55/54]] and [[100_99|100/99]] in the [[11-limit]]. It is the [[optimal patent val]] for [[Porcupine rank three family|sonic]], the rank three temperament tempering out 250/243, 55/54 and 100/99, and also for the rank four temperament tempering out 55/54. It provides an alternative tuning to [[22edo]] for [[Porcupine family|porcupine temperament]], with a nice fifth but a rather flat major third, and the optimal patent val for 7- and 11-limit [[Porcupine family#Porky|porky temperament]], which is sonic plus 225/224.</pre></div>
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| <h4>Original HTML content:</h4>
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| <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>51edo</title></head><body><em>51<a class="wiki_link" href="/edo">edo</a></em> divides the <a class="wiki_link" href="/octave">octave</a> into 51 equal parts of 23.529 <a class="wiki_link" href="/cent">cent</a>s each, which is about the size of the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pythagorean_comma" rel="nofollow">Pythagorean comma</a> (even though this comma itself is mapped to a different interval). It tempers out <a class="wiki_link" href="/250_243">250/243</a> in the <a class="wiki_link" href="/5-limit">5-limit</a>, <a class="wiki_link" href="/225_224">225/224</a> and <a class="wiki_link" href="/2401_2400">2401/2400</a> in the <a class="wiki_link" href="/7-limit">7-limit</a>, and <a class="wiki_link" href="/55_54">55/54</a> and <a class="wiki_link" href="/100_99">100/99</a> in the <a class="wiki_link" href="/11-limit">11-limit</a>. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Porcupine%20rank%20three%20family">sonic</a>, the rank three temperament tempering out 250/243, 55/54 and 100/99, and also for the rank four temperament tempering out 55/54. It provides an alternative tuning to <a class="wiki_link" href="/22edo">22edo</a> for <a class="wiki_link" href="/Porcupine%20family">porcupine temperament</a>, with a nice fifth but a rather flat major third, and the optimal patent val for 7- and 11-limit <a class="wiki_link" href="/Porcupine%20family#Porky">porky temperament</a>, which is sonic plus 225/224.</body></html></pre></div>
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51edo divides the octave into 51 equal parts of 23.529 cents each, which is about the size of the Pythagorean comma (even though this comma itself is mapped to a different interval). It tempers out 250/243 in the 5-limit, 225/224 and 2401/2400 in the 7-limit, and 55/54 and 100/99 in the 11-limit. It is the optimal patent val for sonic, the rank three temperament tempering out 250/243, 55/54 and 100/99, and also for the rank four temperament tempering out 55/54. It provides an alternative tuning to 22edo for porcupine temperament, with a nice fifth but a rather flat major third, and the optimal patent val for 7- and 11-limit porky temperament, which is sonic plus 225/224.