360edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:~~JosephRuhf~~|~~JosephRuhf~~]] and made on <tt>2012-05-25 00:42:59 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-25 14:41:19 UTC</tt>.<br>

: The original revision id was <tt>~~339377618~~</tt>.<br>

: The original revision id was <tt>339578486</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>

<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">360edo divides the octave into steps of 3 1/3 cents. Its 23-limit patent val is <360 571 836 1011 1245 1332 1471 1529 1628|.

This val tempers out the kalisma, the triaphonisma, the septendecimal bridge comma, the misty comma, hemimage, dimicomp, 2*(14/15)^10, 289/288, 352/351, 589824/588245 and 2560000000/2542277421. Its 5-limit patent val supports misty temperament, but extending beyond the 5-limit does not support any higher limit misty temperament. Two ~~higher~~ limit temperaments it ~~does support~~ are 41&360 <<11 76 51 95 50 -95|| ~~in the 7-limit~~ and <<12 -48 -108 -104 -205 -118|| in ~~a certain~~ limit ~~7 or higher~~.</pre></div>

This val tempers out the kalisma, the triaphonisma, the septendecimal bridge comma, the misty comma, hemimage, dimicomp, 2*(14/15)^10, 289/288, 352/351, 589824/588245 and 2560000000/2542277421. Its 5-limit patent val supports misty temperament, but extending beyond the 5-limit does not support any higher limit misty temperament. Two seven limit temperaments it supports and provides the optimal patent val for are 41&360 = <<11 76 51 95 50 -95|| and 12&360 = <<12 -48 -108 -104 -205 -118||; neither is very good though 41&360 has a TE badness lower than any alternative 7-limit temperament for which 360 gives the optimal patent val. Much better is [[Hemimage temperaments#Degrees|degrees temperament]], the 80&140 temperament, for which 360 supplies the optimal patent val in the 11-limit and which it supports and provides an excellent tuning for in the 13-limit.</pre></div>

<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>360edo</title></head><body>360edo divides the octave into steps of 3 1/3 cents. Its 23-limit patent val is &lt;360 571 836 1011 1245 1332 1471 1529 1628|. <br />

This val tempers out the kalisma, the triaphonisma, the septendecimal bridge comma, the misty comma, hemimage, dimicomp, 2*(14/15)^10, 289/288, 352/351, 589824/588245 and 2560000000/2542277421. Its 5-limit patent val supports misty temperament, but extending beyond the 5-limit does not support any higher limit misty temperament. Two ~~higher~~ limit temperaments it ~~does support~~ are 41&amp;360 &lt;&lt;11 76 51 95 50 -95|| ~~in the 7-limit~~ and &lt;&lt;12 -48 -108 -104 -205 -118|| in ~~a certain~~ limit ~~7 or higher~~.</body></html></pre></div>

This val tempers out the kalisma, the triaphonisma, the septendecimal bridge comma, the misty comma, hemimage, dimicomp, 2*(14/15)^10, 289/288, 352/351, 589824/588245 and 2560000000/2542277421. Its 5-limit patent val supports misty temperament, but extending beyond the 5-limit does not support any higher limit misty temperament. Two seven limit temperaments it supports and provides the optimal patent val for are 41&amp;360 = &lt;&lt;11 76 51 95 50 -95|| and 12&amp;360 = &lt;&lt;12 -48 -108 -104 -205 -118||; neither is very good though 41&amp;360 has a TE badness lower than any alternative 7-limit temperament for which 360 gives the optimal patent val. Much better is <a class="wiki_link" href="/Hemimage%20temperaments#Degrees">degrees temperament</a>, the 80&amp;140 temperament, for which 360 supplies the optimal patent val in the 11-limit and which it supports and provides an excellent tuning for in the 13-limit.</body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-05-25 00:42:59 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-25 14:41:19 UTC</tt>.<br>
-: The original revision id was <tt>339377618</tt>.<br>
+: The original revision id was <tt>339578486</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>
 <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">360edo divides the octave into steps of 3 1/3 cents. Its 23-limit patent val is &lt;360 571 836 1011 1245 1332 1471 1529 1628|.
-This val tempers out the kalisma, the triaphonisma, the septendecimal bridge comma, the misty comma, hemimage, dimicomp, 2*(14/15)^10, 289/288, 352/351, 589824/588245 and 2560000000/2542277421. Its 5-limit patent val supports misty temperament, but extending beyond the 5-limit does not support any higher limit misty temperament. Two higher limit temperaments it does support are 41&amp;360 &lt;&lt;11 76 51 95 50 -95|| in the 7-limit and &lt;&lt;12 -48 -108 -104 -205 -118|| in a certain limit 7 or higher.</pre></div>
+This val tempers out the kalisma, the triaphonisma, the septendecimal bridge comma, the misty comma, hemimage, dimicomp, 2*(14/15)^10, 289/288, 352/351, 589824/588245 and 2560000000/2542277421. Its 5-limit patent val supports misty temperament, but extending beyond the 5-limit does not support any higher limit misty temperament. Two seven limit temperaments it supports and provides the optimal patent val for are 41&amp;360 = &lt;&lt;11 76 51 95 50 -95|| and 12&amp;360 = &lt;&lt;12 -48 -108 -104 -205 -118||; neither is very good though 41&amp;360 has a TE badness lower than any alternative 7-limit temperament for which 360 gives the optimal patent val. Much better is [[Hemimage temperaments#Degrees|degrees temperament]], the 80&amp;140 temperament, for which 360 supplies the optimal patent val in the 11-limit and which it supports and provides an excellent tuning for in the 13-limit.</pre></div>
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;360edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;360edo divides the octave into steps of 3 1/3 cents. Its 23-limit patent val is &amp;lt;360 571 836 1011 1245 1332 1471 1529 1628|. &lt;br /&gt;
-This val tempers out the kalisma, the triaphonisma, the septendecimal bridge comma, the misty comma, hemimage, dimicomp, 2*(14/15)^10, 289/288, 352/351, 589824/588245 and 2560000000/2542277421. Its 5-limit patent val supports misty temperament, but extending beyond the 5-limit does not support any higher limit misty temperament. Two higher limit temperaments it does support are 41&amp;amp;360 &amp;lt;&amp;lt;11 76 51 95 50 -95|| in the 7-limit and &amp;lt;&amp;lt;12 -48 -108 -104 -205 -118|| in a certain limit 7 or higher.&lt;/body&gt;&lt;/html&gt;</pre></div>
+This val tempers out the kalisma, the triaphonisma, the septendecimal bridge comma, the misty comma, hemimage, dimicomp, 2*(14/15)^10, 289/288, 352/351, 589824/588245 and 2560000000/2542277421. Its 5-limit patent val supports misty temperament, but extending beyond the 5-limit does not support any higher limit misty temperament. Two seven limit temperaments it supports and provides the optimal patent val for are 41&amp;amp;360 = &amp;lt;&amp;lt;11 76 51 95 50 -95|| and 12&amp;amp;360 = &amp;lt;&amp;lt;12 -48 -108 -104 -205 -118||; neither is very good though 41&amp;amp;360 has a TE badness lower than any alternative 7-limit temperament for which 360 gives the optimal patent val. Much better is &lt;a class="wiki_link" href="/Hemimage%20temperaments#Degrees"&gt;degrees temperament&lt;/a&gt;, the 80&amp;amp;140 temperament, for which 360 supplies the optimal patent val in the 11-limit and which it supports and provides an excellent tuning for in the 13-limit.&lt;/body&gt;&lt;/html&gt;</pre></div>