148edo: 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:genewardsmith|genewardsmith]] and made on <tt>2011-03-26 07:16:00 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-26 08:01:34 UTC</tt>.<br>

: The original revision id was <tt>~~214167738~~</tt>.<br>

: The original revision id was <tt>214171362</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">The //148 equal division// divides the octave into 148 equal parts of 8.108 cents each. It provides the [[optimal patent val]] for 11-limit [[Diaschismic family|echidnic temperament]], the 10&46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the [[patent val]] tempers out 686/675 and 1029/1024, but an alternative mapping <148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of [[80edo]] for the 12&56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead.

<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 //148 equal division// divides the octave into 148 equal parts of 8.108 cents each. It provides the [[optimal patent val]] for 11-limit [[Diaschismic family|echidnic temperament]], the 10&46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the [[patent val]] tempers out 686/675 and 1029/1024, but an alternative mapping <148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of [[80edo]] for 7- and 13- limit [[Diaschismic family|bidia temperament]], the 12&56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845.

148 = 4 * 37, with divisors 2, 4, 37, 74.</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>148edo</title></head><body>The <em>148 equal division</em> divides the octave into 148 equal parts of 8.108 cents each. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit <a class="wiki_link" href="/Diaschismic%20family">echidnic temperament</a>, the 10&amp;46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the <a class="wiki_link" href="/patent%20val">patent val</a> tempers out 686/675 and 1029/1024, but an alternative mapping &lt;148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of <a class="wiki_link" href="/80edo">80edo</a> for the 12&amp;56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. <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>148edo</title></head><body>The <em>148 equal division</em> divides the octave into 148 equal parts of 8.108 cents each. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit <a class="wiki_link" href="/Diaschismic%20family">echidnic temperament</a>, the 10&amp;46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the <a class="wiki_link" href="/patent%20val">patent val</a> tempers out 686/675 and 1029/1024, but an alternative mapping &lt;148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of <a class="wiki_link" href="/80edo">80edo</a> for 7- and 13- limit <a class="wiki_link" href="/Diaschismic%20family">bidia temperament</a>, the 12&amp;56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845.<br />

<br />

148 = 4 * 37, with divisors 2, 4, 37, 74.</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:genewardsmith|genewardsmith]] and made on <tt>2011-03-26 07:16:00 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-26 08:01:34 UTC</tt>.<br>
-: The original revision id was <tt>214167738</tt>.<br>
+: The original revision id was <tt>214171362</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">The //148 equal division// divides the octave into 148 equal parts of 8.108 cents each. It provides the [[optimal patent val]] for 11-limit [[Diaschismic family|echidnic temperament]], the 10&amp;46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the [[patent val]] tempers out 686/675 and 1029/1024, but an alternative mapping &lt;148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of [[80edo]] for the 12&amp;56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead.
+<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 //148 equal division// divides the octave into 148 equal parts of 8.108 cents each. It provides the [[optimal patent val]] for 11-limit [[Diaschismic family|echidnic temperament]], the 10&amp;46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the [[patent val]] tempers out 686/675 and 1029/1024, but an alternative mapping &lt;148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of [[80edo]] for 7- and 13- limit [[Diaschismic family|bidia temperament]], the 12&amp;56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845.
 = 4 * 37, with divisors 2, 4, 37, 74.</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;148edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;148 equal division&lt;/em&gt; divides the octave into 148 equal parts of 8.108 cents each. It provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for 11-limit &lt;a class="wiki_link" href="/Diaschismic%20family"&gt;echidnic temperament&lt;/a&gt;, the 10&amp;amp;46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the &lt;a class="wiki_link" href="/patent%20val"&gt;patent val&lt;/a&gt; tempers out 686/675 and 1029/1024, but an alternative mapping &amp;lt;148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of &lt;a class="wiki_link" href="/80edo"&gt;80edo&lt;/a&gt; for the 12&amp;amp;56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. &lt;br /&gt;
+<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;148edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;148 equal division&lt;/em&gt; divides the octave into 148 equal parts of 8.108 cents each. It provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for 11-limit &lt;a class="wiki_link" href="/Diaschismic%20family"&gt;echidnic temperament&lt;/a&gt;, the 10&amp;amp;46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the &lt;a class="wiki_link" href="/patent%20val"&gt;patent val&lt;/a&gt; tempers out 686/675 and 1029/1024, but an alternative mapping &amp;lt;148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of &lt;a class="wiki_link" href="/80edo"&gt;80edo&lt;/a&gt; for 7- and 13- limit &lt;a class="wiki_link" href="/Diaschismic%20family"&gt;bidia temperament&lt;/a&gt;, the 12&amp;amp;56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845.&lt;br /&gt;
 &lt;br /&gt;
 = 4 * 37, with divisors 2, 4, 37, 74.&lt;/body&gt;&lt;/html&gt;</pre></div>