2000edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2015-08-17 13:49:57 UTC.
- The original revision id was 556818047.
- 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:
The 2000 equal division divides the octave into 2000 equal parts of exactly 0.6 cents each. It is distinctly consistent through the 29 limit and a strong 29-limit system; the only smaller edo with a smaller 29-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] being [[1578edo|1578]]. The only ones to beat it in the 23-limit are 1578 and [[1889edo|1889]], and in the 19-limit, nothing smaller defeats it, the first edo to do so being [[2460edo|2460]]. 2000 = 2^4 * 5^3; some of its divisors are [[10edo|10]], [[16edo|16]], [[25edo|25]], [[50edo|50]], [[80edo|80]], [[100edo|100]], [[125edo|125]] and [[200edo|200]]. also there is the 1000 division of [[millioctave|millioctaves]], where it might be argued that cutting these in half makes for a better system.
Original HTML content:
<html><head><title>2000edo</title></head><body>The 2000 equal division divides the octave into 2000 equal parts of exactly 0.6 cents each. It is distinctly consistent through the 29 limit and a strong 29-limit system; the only smaller edo with a smaller 29-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> being <a class="wiki_link" href="/1578edo">1578</a>. The only ones to beat it in the 23-limit are 1578 and <a class="wiki_link" href="/1889edo">1889</a>, and in the 19-limit, nothing smaller defeats it, the first edo to do so being <a class="wiki_link" href="/2460edo">2460</a>.<br /> <br /> 2000 = 2^4 * 5^3; some of its divisors are <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/25edo">25</a>, <a class="wiki_link" href="/50edo">50</a>, <a class="wiki_link" href="/80edo">80</a>, <a class="wiki_link" href="/100edo">100</a>, <a class="wiki_link" href="/125edo">125</a> and <a class="wiki_link" href="/200edo">200</a>. also there is the 1000 division of <a class="wiki_link" href="/millioctave">millioctaves</a>, where it might be argued that cutting these in half makes for a better system.</body></html>