145edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 292155313 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 292156061 - 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>2012-01-13 22: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-01-13 22:45:11 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>292156061</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">The //145 equal division// divides the octave into 145 equal parts of 8.276 cents each. It is the [[optimal patent val]] for 11-limit [[Hemifamity temperaments|mystery temperament]] and 11-limit rank three temperament [[Hemifamity family|pele temperament]]. It tempers out 1600000/1594323 in the 5-limit; 4375/4374 and 5120/5103 in the 7-limit; 441/440 and 896/891 in the 11-limit; 196/195, 352/351 and 364/363 in the 13-limit; 595/594 in the 17-limit; 343/342 and 476/475 in the 19-limit. It also supports and provides a good tuning for 13-limit mystery, and because it tempers out 441/440 it allows [[werckismic chords]], because it tempers out 196/195 it allows [[mynucumic 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 847/845 it allows the [[cuthbert triad]], making it a very flexible harmonic system. The same is true of [[232edo]], the optimal patent val for 13-limit mystery. | <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 //145 equal division// divides the octave into 145 equal parts of 8.276 cents each. It is the [[optimal patent val]] for 11-limit [[Hemifamity temperaments|mystery temperament]] and 11-limit rank three temperament [[Hemifamity family|pele temperament]]. It tempers out 1600000/1594323 in the 5-limit; 4375/4374 and 5120/5103 in the 7-limit; 441/440 and 896/891 in the 11-limit; 196/195, 352/351 and 364/363 in the 13-limit; 595/594 in the 17-limit; 343/342 and 476/475 in the 19-limit. The 145c val provides a tuning for [[magic]] which is nearly identical to the POTE tuning. It also supports and provides a good tuning for 13-limit mystery, and because it tempers out 441/440 it allows [[werckismic chords]], because it tempers out 196/195 it allows [[mynucumic 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 847/845 it allows the [[cuthbert triad]], making it a very flexible harmonic system. The same is true of [[232edo]], the optimal patent val for 13-limit mystery. | ||
=Music= | =Music= | ||
[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]] [[@http://www.chrisvaisvil.com/|Chris Vaisvil]]</pre></div> | [[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]] [[@http://www.chrisvaisvil.com/|Chris Vaisvil]]</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>145edo</title></head><body>The <em>145 equal division</em> divides the octave into 145 equal parts of 8.276 cents each. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit <a class="wiki_link" href="/Hemifamity%20temperaments">mystery temperament</a> and 11-limit rank three temperament <a class="wiki_link" href="/Hemifamity%20family">pele temperament</a>. It tempers out 1600000/1594323 in the 5-limit; 4375/4374 and 5120/5103 in the 7-limit; 441/440 and 896/891 in the 11-limit; 196/195, 352/351 and 364/363 in the 13-limit; 595/594 in the 17-limit; 343/342 and 476/475 in the 19-limit. It also supports and provides a good tuning for 13-limit mystery, and because it tempers out 441/440 it allows <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a>, because it tempers out 196/195 it allows <a class="wiki_link" href="/mynucumic%20chords">mynucumic 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 847/845 it allows the <a class="wiki_link" href="/cuthbert%20triad">cuthbert triad</a>, making it a very flexible harmonic system. The same is true of <a class="wiki_link" href="/232edo">232edo</a>, the optimal patent val for 13-limit mystery. <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>145edo</title></head><body>The <em>145 equal division</em> divides the octave into 145 equal parts of 8.276 cents each. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit <a class="wiki_link" href="/Hemifamity%20temperaments">mystery temperament</a> and 11-limit rank three temperament <a class="wiki_link" href="/Hemifamity%20family">pele temperament</a>. It tempers out 1600000/1594323 in the 5-limit; 4375/4374 and 5120/5103 in the 7-limit; 441/440 and 896/891 in the 11-limit; 196/195, 352/351 and 364/363 in the 13-limit; 595/594 in the 17-limit; 343/342 and 476/475 in the 19-limit. The 145c val provides a tuning for <a class="wiki_link" href="/magic">magic</a> which is nearly identical to the POTE tuning. It also supports and provides a good tuning for 13-limit mystery, and because it tempers out 441/440 it allows <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a>, because it tempers out 196/195 it allows <a class="wiki_link" href="/mynucumic%20chords">mynucumic 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 847/845 it allows the <a class="wiki_link" href="/cuthbert%20triad">cuthbert triad</a>, making it a very flexible harmonic system. The same is true of <a class="wiki_link" href="/232edo">232edo</a>, the optimal patent val for 13-limit mystery. <br /> | ||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a> <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a> <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a></body></html></pre></div> | ||