104edo: 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>2016-08-~~08 11~~:22:03 UTC</tt>.<br>

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-28 00:13:00 UTC</tt>.<br>

: The original revision id was <tt>~~588914016~~</tt>.<br>

: The original revision id was <tt>597358160</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">//104edo// divides the octave into 104 parts of size 11.54 ~~[[#|~~cents]] each. It has two different equally viable 5-limit [[#|vals]], and both are useful. The flat major third val, <104 165 241|, tempers out 3125/3072, and supports [[Magic family|magic temperament]]. The sharp major third val, <104 165 242|, tempers out 2048/2025 and supports [[Diaschismic family|diaschismic 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">//104edo// divides the octave into 104 parts of size 11.54 cents each. It has two different equally viable 5-limit [[#|vals]], and both are useful. The flat major third val, <104 165 241|, tempers out 3125/3072, and supports [[Magic family|magic temperament]]. The sharp major third val, <104 165 242|, tempers out 2048/2025 and supports [[Diaschismic family|diaschismic temperament]].

104edo with the flat third is especially notable as an excellent tuning for [[Magic family|magic temperament]], providing the [[optimal patent val]] for 11-limit magic and the 13-limit magic extension [[Magic family#Magic-13-limit-Necromancy|necromancy]]. In the 5-limit it tempers out the magic comma, 3125/3072; in the 7-limit, it tempers out 225/224, 245/243 and 875/864; and in the 11-limit, 100/99, 896/891, 385/384 and 540/539. It provides an excellent tuning also for the rank three temperaments pairing 100/99 with 225/224 (apollo temperament), 245/243 or 875/864, or the rank four temperament tempering out 100/99, for which it gives the [[optimal patent val]].

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|| **102** || **1176.92** ||</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>104edo</title></head><body><em>104edo</em> divides the octave into 104 parts of size 11.54 ~~[[#|~~cents]] each. It has two different equally viable 5-limit [[#|vals]], and both are useful. The flat major third val, &lt;104 165 241|, tempers out 3125/3072, and supports <a class="wiki_link" href="/Magic%20family">magic temperament</a>. The sharp major third val, &lt;104 165 242|, tempers out 2048/2025 and supports <a class="wiki_link" href="/Diaschismic%20family">diaschismic 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>104edo</title></head><body><em>104edo</em> divides the octave into 104 parts of size 11.54 cents each. It has two different equally viable 5-limit [[#|vals]], and both are useful. The flat major third val, &lt;104 165 241|, tempers out 3125/3072, and supports <a class="wiki_link" href="/Magic%20family">magic temperament</a>. The sharp major third val, &lt;104 165 242|, tempers out 2048/2025 and supports <a class="wiki_link" href="/Diaschismic%20family">diaschismic temperament</a>.<br />

<br />

104edo with the flat third is especially notable as an excellent tuning for <a class="wiki_link" href="/Magic%20family">magic temperament</a>, providing the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit magic and the 13-limit magic extension <a class="wiki_link" href="/Magic%20family#Magic-13-limit-Necromancy">necromancy</a>. In the 5-limit it tempers out the magic comma, 3125/3072; in the 7-limit, it tempers out 225/224, 245/243 and 875/864; and in the 11-limit, 100/99, 896/891, 385/384 and 540/539. It provides an excellent tuning also for the rank three temperaments pairing 100/99 with 225/224 (apollo temperament), 245/243 or 875/864, or the rank four temperament tempering out 100/99, for which it gives the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>.<br />

@@ 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>2016-08-08 11:22:03 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-28 00:13:00 UTC</tt>.<br>
-: The original revision id was <tt>588914016</tt>.<br>
+: The original revision id was <tt>597358160</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">//104edo// divides the octave into 104 parts of size 11.54 [[#|cents]] each. It has two different equally viable 5-limit [[#|vals]], and both are useful. The flat major third val, &lt;104 165 241|, tempers out 3125/3072, and supports [[Magic family|magic temperament]]. The sharp major third val, &lt;104 165 242|, tempers out 2048/2025 and supports [[Diaschismic family|diaschismic 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">//104edo// divides the octave into 104 parts of size 11.54 cents each. It has two different equally viable 5-limit [[#|vals]], and both are useful. The flat major third val, &lt;104 165 241|, tempers out 3125/3072, and supports [[Magic family|magic temperament]]. The sharp major third val, &lt;104 165 242|, tempers out 2048/2025 and supports [[Diaschismic family|diaschismic temperament]].
 edo with the flat third is especially notable as an excellent tuning for [[Magic family|magic temperament]], providing the [[optimal patent val]] for 11-limit magic and the 13-limit magic extension [[Magic family#Magic-13-limit-Necromancy|necromancy]]. In the 5-limit it tempers out the magic comma, 3125/3072; in the 7-limit, it tempers out 225/224, 245/243 and 875/864; and in the 11-limit, 100/99, 896/891, 385/384 and 540/539. It provides an excellent tuning also for the rank three temperaments pairing 100/99 with 225/224 (apollo temperament), 245/243 or 875/864, or the rank four temperament tempering out 100/99, for which it gives the [[optimal patent val]].
@@ Line 104: / Line 104: @@
 || **102** || **1176.92** ||</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;104edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;104edo&lt;/em&gt; divides the octave into 104 parts of size 11.54 [[#|cents]] each. It has two different equally viable 5-limit [[#|vals]], and both are useful. The flat major third val, &amp;lt;104 165 241|, tempers out 3125/3072, and supports &lt;a class="wiki_link" href="/Magic%20family"&gt;magic temperament&lt;/a&gt;. The sharp major third val, &amp;lt;104 165 242|, tempers out 2048/2025 and supports &lt;a class="wiki_link" href="/Diaschismic%20family"&gt;diaschismic temperament&lt;/a&gt;.&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;104edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;104edo&lt;/em&gt; divides the octave into 104 parts of size 11.54 cents each. It has two different equally viable 5-limit [[#|vals]], and both are useful. The flat major third val, &amp;lt;104 165 241|, tempers out 3125/3072, and supports &lt;a class="wiki_link" href="/Magic%20family"&gt;magic temperament&lt;/a&gt;. The sharp major third val, &amp;lt;104 165 242|, tempers out 2048/2025 and supports &lt;a class="wiki_link" href="/Diaschismic%20family"&gt;diaschismic temperament&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
 edo with the flat third is especially notable as an excellent tuning for &lt;a class="wiki_link" href="/Magic%20family"&gt;magic temperament&lt;/a&gt;, providing the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for 11-limit magic and the 13-limit magic extension &lt;a class="wiki_link" href="/Magic%20family#Magic-13-limit-Necromancy"&gt;necromancy&lt;/a&gt;. In the 5-limit it tempers out the magic comma, 3125/3072; in the 7-limit, it tempers out 225/224, 245/243 and 875/864; and in the 11-limit, 100/99, 896/891, 385/384 and 540/539. It provides an excellent tuning also for the rank three temperaments pairing 100/99 with 225/224 (apollo temperament), 245/243 or 875/864, or the rank four temperament tempering out 100/99, for which it gives the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt;.&lt;br /&gt;