121edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 244048181 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 244050165 - 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>2011-08-02 23: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-02 23:49:04 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>244050165</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 121 equal temperament divides the octave into 121 equal steps of 9.917 cents each. It has a distinctly sharp tendency, in that the odd primes from 3 to 19 all have sharp tunings. It tempers out 15625/15552 in the 5-limit; 4000/3969, 6144/6125, 10976/10935 in the 7-limit; 540/539, 896/891 and 1375/1372 in the 11-limit; 325/324, 352/351, 364/363 and 625/624 in the 13-limit; 256/255, 375/374 and 442/441 in the 17-limit; 190/189 and 361/360 in the 19-limit. It also serves as the [[optimal patent val]] for 13-limit [[Mirkwai clan|grendel temperament]]. | <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 121 equal temperament divides the octave into 121 equal steps of 9.917 cents each. It has a distinctly sharp tendency, in that the odd primes from 3 to 19 all have sharp tunings. It tempers out 15625/15552 in the 5-limit; 4000/3969, 6144/6125, 10976/10935 in the 7-limit; 540/539, 896/891 and 1375/1372 in the 11-limit; 325/324, 352/351, 364/363 and 625/624 in the 13-limit; 256/255, 375/374 and 442/441 in the 17-limit; 190/189 and 361/360 in the 19-limit. It also serves as the [[optimal patent val]] for 13-limit [[Mirkwai clan|grendel temperament]]. | ||
Because it tempers out 540/539 it allows [[swetismic chords]], because it tempers out 325/324 it allows [[marveltwin triad|marveltwin chords]], because it tempers out 352/351 it allows [[minthmic chords]] | Because it tempers out 540/539 it allows [[swetismic chords]], because it tempers out 325/324 it allows [[marveltwin triad|marveltwin chords]], because it tempers out 640/637 it allows [[huntmic chords]], because it tempers out 352/351 it allows [[minthmic chords]], because it tempers out 364/363 it allows [[gentle chords]], and because it tempers out 676/675 it allows [[island tetrad|island chords]]. That makes for a very flexible system, and since this suite of commas defines 13-limit 121et, it is a system only associated with 121.</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>121edo</title></head><body>The 121 equal temperament divides the octave into 121 equal steps of 9.917 cents each. It has a distinctly sharp tendency, in that the odd primes from 3 to 19 all have sharp tunings. It tempers out 15625/15552 in the 5-limit; 4000/3969, 6144/6125, 10976/10935 in the 7-limit; 540/539, 896/891 and 1375/1372 in the 11-limit; 325/324, 352/351, 364/363 and 625/624 in the 13-limit; 256/255, 375/374 and 442/441 in the 17-limit; 190/189 and 361/360 in the 19-limit. It also serves as the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 13-limit <a class="wiki_link" href="/Mirkwai%20clan">grendel temperament</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>121edo</title></head><body>The 121 equal temperament divides the octave into 121 equal steps of 9.917 cents each. It has a distinctly sharp tendency, in that the odd primes from 3 to 19 all have sharp tunings. It tempers out 15625/15552 in the 5-limit; 4000/3969, 6144/6125, 10976/10935 in the 7-limit; 540/539, 896/891 and 1375/1372 in the 11-limit; 325/324, 352/351, 364/363 and 625/624 in the 13-limit; 256/255, 375/374 and 442/441 in the 17-limit; 190/189 and 361/360 in the 19-limit. It also serves as the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 13-limit <a class="wiki_link" href="/Mirkwai%20clan">grendel temperament</a>.<br /> | ||
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Because it tempers out 540/539 it allows <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a>, because it tempers out 325/324 it allows <a class="wiki_link" href="/marveltwin%20triad">marveltwin chords</a>, because it tempers out 352/351 it allows <a class="wiki_link" href="/minthmic%20chords">minthmic chords</a> | Because it tempers out 540/539 it allows <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a>, because it tempers out 325/324 it allows <a class="wiki_link" href="/marveltwin%20triad">marveltwin chords</a>, because it tempers out 640/637 it allows <a class="wiki_link" href="/huntmic%20chords">huntmic chords</a>, because it tempers out 352/351 it allows <a class="wiki_link" href="/minthmic%20chords">minthmic chords</a>, because it tempers out 364/363 it allows <a class="wiki_link" href="/gentle%20chords">gentle chords</a>, and because it tempers out 676/675 it allows <a class="wiki_link" href="/island%20tetrad">island chords</a>. That makes for a very flexible system, and since this suite of commas defines 13-limit 121et, it is a system only associated with 121.</body></html></pre></div> | ||