1920edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2015-08-17 12:55:32 UTC.
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Original Wikitext content:
The 1920 division divides the octave into 1920 equal parts of exactly 0.625 cents each. It is distinctly consistent through the 25 limit, and in terms of 23-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]], only [[1578edo|1578]] and [[1889edo|1889]] are both smaller and with a lower relative error. In the 29-limit, only 1578 beats it, and in the 31, 37, 41, 43 and 47 limits, nothing beats it. Because of this and because it is a highly composite number divisible by 12, it is another candidate for [[interval size measure]]. 1920 = 2^7 * 3 * 5; some of its divisors are [[10edo|10]], [[12edo|12]], [[15edo|15]], [[16edo|16]], [[24edo|24]], [[60edo|60]], [[80edo|80]], [[96edo|96]], [[128edo|128]], [[240edo|240]], [[320edo|320]] and [[640edo|640]].
Original HTML content:
<html><head><title>1920edo</title></head><body>The 1920 division divides the octave into 1920 equal parts of exactly 0.625 cents each. It is distinctly consistent through the 25 limit, and in terms of 23-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a>, only <a class="wiki_link" href="/1578edo">1578</a> and <a class="wiki_link" href="/1889edo">1889</a> are both smaller and with a lower relative error. In the 29-limit, only 1578 beats it, and in the 31, 37, 41, 43 and 47 limits, nothing beats it. Because of this and because it is a highly composite number divisible by 12, it is another candidate for <a class="wiki_link" href="/interval%20size%20measure">interval size measure</a>.<br /> <br /> 1920 = 2^7 * 3 * 5; some of its divisors are <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/15edo">15</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/24edo">24</a>, <a class="wiki_link" href="/60edo">60</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/96edo">96</a>, <a class="wiki_link" href="/128edo">128</a>, <a class="wiki_link" href="/240edo">240</a>, <a class="wiki_link" href="/320edo">320</a> and <a class="wiki_link" href="/640edo">640</a>.</body></html>