270edo: Difference between revisions
Wikispaces>hstraub **Imported revision 239086131 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 296894418 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-01-31 02:39:45 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>296894418</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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[[math]] | [[math]] | ||
270 = 2 \cdot 3^{3} \cdot 5 | 270 = 2 \cdot 3^{3} \cdot 5 | ||
[[math]]</pre></div> | [[math]] | ||
Here may be found a [[table of 270edo intervals]].</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>270edo</title></head><body>The 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong <a class="wiki_link" href="/13-limit">13-limit</a> system, distinct and <a class="wiki_link" href="/consistent">consistent</a> through the 15 odd limit, and is the thirteenth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta integral edo</a>. In the <a class="wiki_link" href="/5-limit">5-limit</a> it tempers out the ennealimma, |1 -27 18&gt;, the <a class="wiki_link" href="/Vulture%20family">vulture comma</a>, |24 -21 4&gt;, and the <a class="wiki_link" href="/Vishnuzmic%20family">vishnuzma</a> or semisuper comma, |23 6 -14&gt;. In the <a class="wiki_link" href="/7-limit">7-limit</a> it tempers out 2401/2400 and 4375/4374, so that it supports <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">ennealimmal temperament</a>, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the <a class="wiki_link" href="/11-limit">11-limit</a>, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an <a class="wiki_link" href="/The%20Archipelago">archipelago</a> tuning, and the optimal patent val for some of the archipelago temperaments.<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>270edo</title></head><body>The 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong <a class="wiki_link" href="/13-limit">13-limit</a> system, distinct and <a class="wiki_link" href="/consistent">consistent</a> through the 15 odd limit, and is the thirteenth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta integral edo</a>. In the <a class="wiki_link" href="/5-limit">5-limit</a> it tempers out the ennealimma, |1 -27 18&gt;, the <a class="wiki_link" href="/Vulture%20family">vulture comma</a>, |24 -21 4&gt;, and the <a class="wiki_link" href="/Vishnuzmic%20family">vishnuzma</a> or semisuper comma, |23 6 -14&gt;. In the <a class="wiki_link" href="/7-limit">7-limit</a> it tempers out 2401/2400 and 4375/4374, so that it supports <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">ennealimmal temperament</a>, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the <a class="wiki_link" href="/11-limit">11-limit</a>, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an <a class="wiki_link" href="/The%20Archipelago">archipelago</a> tuning, and the optimal patent val for some of the archipelago temperaments.<br /> | ||
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[[math]]&lt;br/&gt; | [[math]]&lt;br/&gt; | ||
270 = 2 \cdot 3^{3} \cdot 5&lt;br/&gt;[[math]] | 270 = 2 \cdot 3^{3} \cdot 5&lt;br/&gt;[[math]] | ||
--><script type="math/tex">270 = 2 \cdot 3^{3} \cdot 5</script><!-- ws:end:WikiTextMathRule:0 --></body></html></pre></div> | --><script type="math/tex">270 = 2 \cdot 3^{3} \cdot 5</script><!-- ws:end:WikiTextMathRule:0 --><br /> | ||
<br /> | |||
Here may be found a <a class="wiki_link" href="/table%20of%20270edo%20intervals">table of 270edo intervals</a>.</body></html></pre></div> | |||