87edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 187174129 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 195134960 - 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> | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-22 02:26:27 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>195134960</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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224&87 <<27 8 -67 -1 5 ...|| | 224&87 <<27 8 -67 -1 5 ...|| | ||
87et is a particularly good tuning for [[Gamelismic clan|rodan temperament]]. The 8/7 generator of 17/87 is a remarkable 0.00062 cents sharper than the 13-limit [[POTE tuning|POTE]] generator and is close to the 11-limit POTE generator also. Also, the 32/87 generator for [[Kleismic family|clyde temperament]] is 0.04455 cents sharp of the 7-limit POTE generator.</pre></div> | 87et is a particularly good tuning for [[Gamelismic clan|rodan temperament]]. The 8/7 generator of 17/87 is a remarkable 0.00062 cents sharper than the 13-limit [[POTE tuning|POTE]] generator and is close to the 11-limit POTE generator also. Also, the 32/87 generator for [[Kleismic family|clyde temperament]] is 0.04455 cents sharp of the 7-limit POTE generator. | ||
Music | |||
By Gene Ward Smith | |||
http://www.archive.org/details/Pianodactyl</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>87edo</title></head><body>The 87 equal temperament, often abbreviated 87-tET, 87-EDO, or 87-ET, is the scale derived by dividing the octave into 87 equally-sized steps, where each step represents a frequency ratio of 13.79 cents. It is solid as both a 13-limit (or 15 odd limit) and as a 5-limit system, and of course does well enough in any limit in between. It represents the 13-limit tonality diamond both uniquely and consistently, and is the smallest equal temperament to do so.<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>87edo</title></head><body>The 87 equal temperament, often abbreviated 87-tET, 87-EDO, or 87-ET, is the scale derived by dividing the octave into 87 equally-sized steps, where each step represents a frequency ratio of 13.79 cents. It is solid as both a 13-limit (or 15 odd limit) and as a 5-limit system, and of course does well enough in any limit in between. It represents the 13-limit tonality diamond both uniquely and consistently, and is the smallest equal temperament to do so.<br /> | ||
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224&amp;87 &lt;&lt;27 8 -67 -1 5 ...||<br /> | 224&amp;87 &lt;&lt;27 8 -67 -1 5 ...||<br /> | ||
<br /> | <br /> | ||
87et is a particularly good tuning for <a class="wiki_link" href="/Gamelismic%20clan">rodan temperament</a>. The 8/7 generator of 17/87 is a remarkable 0.00062 cents sharper than the 13-limit <a class="wiki_link" href="/POTE%20tuning">POTE</a> generator and is close to the 11-limit POTE generator also. Also, the 32/87 generator for <a class="wiki_link" href="/Kleismic%20family">clyde temperament</a> is 0.04455 cents sharp of the 7-limit POTE generator.</body></html></pre></div> | 87et is a particularly good tuning for <a class="wiki_link" href="/Gamelismic%20clan">rodan temperament</a>. The 8/7 generator of 17/87 is a remarkable 0.00062 cents sharper than the 13-limit <a class="wiki_link" href="/POTE%20tuning">POTE</a> generator and is close to the 11-limit POTE generator also. Also, the 32/87 generator for <a class="wiki_link" href="/Kleismic%20family">clyde temperament</a> is 0.04455 cents sharp of the 7-limit POTE generator.<br /> | ||
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Music<br /> | |||
By Gene Ward Smith<br /> | |||
<!-- ws:start:WikiTextUrlRule:25:http://www.archive.org/details/Pianodactyl --><a class="wiki_link_ext" href="http://www.archive.org/details/Pianodactyl" rel="nofollow">http://www.archive.org/details/Pianodactyl</a><!-- ws:end:WikiTextUrlRule:25 --></body></html></pre></div> | |||