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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The 3125 equal division of the octave divides it into 5^5 = 3125 equal parts of exactly 0.384 cents each. It is notable for being an extremely strong 7-limit system, being the first equal division past 171edo with a lower [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]]. It is also distinctly consistent through the 15 odd limit. A basis for its 7-limit commas is 78125000/78121827, 645700815/645657712 and 281484423828125/281474976710656; for 11-limit, 151263/151250, 820125/819896, 21437500/21434787 and 117440512/117406179; and for 13-limit, 6656/6655, 123201/123200, 140625/140608, 151263/151250 and 1399680/1399489. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-12 17:26:20 UTC</tt>.<br>
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| : The original revision id was <tt>556582741</tt>.<br>
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| : 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">The 3125 equal division of the octave divides it into 5^5 = 3125 equal parts of exactly 0.384 cents each. It is notable for being an extremely strong 7-limit system, being the first equal division past 171edo with a lower [[Tenney-Euclidean temperament measures#TE simple badness|relative error]]. It is also distinctly consistent through the 15 odd limit. A basis for its 7-limit commas is 78125000/78121827, 645700815/645657712 and 281484423828125/281474976710656; for 11-limit, 151263/151250, 820125/819896, 21437500/21434787 and 117440512/117406179; and for 13-limit, 6656/6655, 123201/123200, 140625/140608, 151263/151250 and 1399680/1399489.
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| The fact that 3125 = 5^5 makes curious notations possible based on the symmetric base 5 positional number system, by converting the number to base 5 with digits {-2, -1, 0, 1, 2}.</pre></div> | | The fact that 3125 = 5^5 makes curious notations possible based on the symmetric base 5 positional number system, by converting the number to base 5 with digits {-2, -1, 0, 1, 2}. |
| <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>3125edo</title></head><body>The 3125 equal division of the octave divides it into 5^5 = 3125 equal parts of exactly 0.384 cents each. It is notable for being an extremely strong 7-limit system, being the first equal division past 171edo with a lower <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a>. It is also distinctly consistent through the 15 odd limit. A basis for its 7-limit commas is 78125000/78121827, 645700815/645657712 and 281484423828125/281474976710656; for 11-limit, 151263/151250, 820125/819896, 21437500/21434787 and 117440512/117406179; and for 13-limit, 6656/6655, 123201/123200, 140625/140608, 151263/151250 and 1399680/1399489.<br />
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| The fact that 3125 = 5^5 makes curious notations possible based on the symmetric base 5 positional number system, by converting the number to base 5 with digits {-2, -1, 0, 1, 2}.</body></html></pre></div>
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The 3125 equal division of the octave divides it into 5^5 = 3125 equal parts of exactly 0.384 cents each. It is notable for being an extremely strong 7-limit system, being the first equal division past 171edo with a lower relative error. It is also distinctly consistent through the 15 odd limit. A basis for its 7-limit commas is 78125000/78121827, 645700815/645657712 and 281484423828125/281474976710656; for 11-limit, 151263/151250, 820125/819896, 21437500/21434787 and 117440512/117406179; and for 13-limit, 6656/6655, 123201/123200, 140625/140608, 151263/151250 and 1399680/1399489.
The fact that 3125 = 5^5 makes curious notations possible based on the symmetric base 5 positional number system, by converting the number to base 5 with digits {-2, -1, 0, 1, 2}.