162edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 187246847 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 197086548 - 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>2011-01-29 17:58:48 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>197086548</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">162edo divides the octave into 162 parts of 7.407 cents each. In the 7-limit it tempers out 4000/3969, 10976/10935 and 65625/65536. | <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">162edo divides the octave into 162 parts of 7.407 cents each. In the 7-limit it tempers out 4000/3969, 10976/10935 and 65625/65536. | ||
The non-patent val <162 257 377| and its extensions are of considerable interest, as this tempers out 2048/2025. In the 7-limit, <162 257 377 455| tempers out 126/125 and 2048/2025 both, giving a tuning for 7-limit [[Diaschismic family|diaschismic]]. In the 11-limit <162 257 377 455 561| tempers out 126/125, 176/175 and 896/891, and so supports 11-limit diaschismic, and in fact has a fifth only 0.01 cents flatter than the [[POTE tuning]]. The 13-limit is even closer: the 13-limit val <162 257 377 455 561 600| tempers out 126/125, 196/195, 364/363, 2048/2025 giving 13-limit diaschismic, and the 162 fifth of 95/162 octave is a mere 0.0000383 cents sharp of the 13-limit POTE tuning.</pre></div> | The [[Patent val|non-patent val]] <162 257 377| and its extensions are of considerable interest, as this tempers out 2048/2025. In the 7-limit, <162 257 377 455| tempers out 126/125 and 2048/2025 both, giving a tuning for 7-limit [[Diaschismic family|diaschismic]]. In the 11-limit <162 257 377 455 561| tempers out 126/125, 176/175 and 896/891, and so supports 11-limit diaschismic, and in fact has a fifth only 0.01 cents flatter than the [[POTE tuning]]. The 13-limit is even closer: the 13-limit val <162 257 377 455 561 600| tempers out 126/125, 196/195, 364/363, 2048/2025 giving 13-limit diaschismic, and the 162 fifth of 95/162 octave is a mere 0.0000383 cents sharp of the 13-limit POTE tuning.</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>162edo</title></head><body>162edo divides the octave into 162 parts of 7.407 cents each. In the 7-limit it tempers out 4000/3969, 10976/10935 and 65625/65536. <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>162edo</title></head><body>162edo divides the octave into 162 parts of 7.407 cents each. In the 7-limit it tempers out 4000/3969, 10976/10935 and 65625/65536. <br /> | ||
<br /> | <br /> | ||
The non-patent val &lt;162 257 377| and its extensions are of considerable interest, as this tempers out 2048/2025. In the 7-limit, &lt;162 257 377 455| tempers out 126/125 and 2048/2025 both, giving a tuning for 7-limit <a class="wiki_link" href="/Diaschismic%20family">diaschismic</a>. In the 11-limit &lt;162 257 377 455 561| tempers out 126/125, 176/175 and 896/891, and so supports 11-limit diaschismic, and in fact has a fifth only 0.01 cents flatter than the <a class="wiki_link" href="/POTE%20tuning">POTE tuning</a>. The 13-limit is even closer: the 13-limit val &lt;162 257 377 455 561 600| tempers out 126/125, 196/195, 364/363, 2048/2025 giving 13-limit diaschismic, and the 162 fifth of 95/162 octave is a mere 0.0000383 cents sharp of the 13-limit POTE tuning.</body></html></pre></div> | The <a class="wiki_link" href="/Patent%20val">non-patent val</a> &lt;162 257 377| and its extensions are of considerable interest, as this tempers out 2048/2025. In the 7-limit, &lt;162 257 377 455| tempers out 126/125 and 2048/2025 both, giving a tuning for 7-limit <a class="wiki_link" href="/Diaschismic%20family">diaschismic</a>. In the 11-limit &lt;162 257 377 455 561| tempers out 126/125, 176/175 and 896/891, and so supports 11-limit diaschismic, and in fact has a fifth only 0.01 cents flatter than the <a class="wiki_link" href="/POTE%20tuning">POTE tuning</a>. The 13-limit is even closer: the 13-limit val &lt;162 257 377 455 561 600| tempers out 126/125, 196/195, 364/363, 2048/2025 giving 13-limit diaschismic, and the 162 fifth of 95/162 octave is a mere 0.0000383 cents sharp of the 13-limit POTE tuning.</body></html></pre></div> | ||