2000edo: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 556818047 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 556818065 - 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:genewardsmith|genewardsmith]] and made on <tt>2015-08-17 13: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-17 13:50:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>556818065</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> | ||
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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">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]]. | <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">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]]. | 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.</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>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 /> | <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>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 /> | <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>. | 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></pre></div> | ||
Revision as of 13:50, 17 August 2015
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 13:50:22 UTC.
- The original revision id was 556818065.
- 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>