Magic: 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>2012-08-~~26 17~~:03:07 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-11-03 11:19:38 UTC</tt>.<br>

: The original revision id was <tt>~~360026519~~</tt>.<br>

: The original revision id was <tt>378871700</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>

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The generator chain val for 13-limit magic is <0 5 1 12 -8 18|, so that five generators give an approximate 3, twelve 14, minus eight 11/64, and eighteen 52.

=Spectrum of Magic Tunings by Eigenmonzos=

||~ Eigenmonzo ||~ Fifth ||

|| 6/5 || 378.910 ||

|| 10/9 || 379.733 ||

|| 7/5 || 380.228 ||

|| 4/3 || 380.391 ||

|| 11/9 || 380.700 ||

|| 8/7 || 380.735 ||

|| 12/11 || 380.818 ||

|| 14/11 || 380.875 ||

|| 7/6 || 380.982 ||

|| 11/8 || 381.085 ||

|| 11/10 || 381.666 ||

|| 9/7 || 382.458 ||

|| 5/4 || 386.314 ||

=[[Chords of magic]]=

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The generator chain val for 13-limit magic is &lt;0 5 1 12 -8 18|, so that five generators give an approximate 3, twelve 14, minus eight 11/64, and eighteen 52.<br />

<br />

<h1 id="toc1"><a name="Chords of magic"></a><a class="wiki_link" href="/Chords%20of%20magic">Chords of magic</a></h1>

<h1 id="toc1"><a name="Spectrum of Magic Tunings by Eigenmonzos"></a>Spectrum of Magic Tunings by Eigenmonzos</h1>

<tr>

<th>Eigenmonzo<br />

</th>

<th>Fifth<br />

</th>

</tr>

</table>

<br />

<tr>

</td>

</td>

</tr>

<tr>

</td>

</td>

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<tr>

</td>

</td>

</tr>

<tr>

</td>

</td>

</tr>

<tr>

</td>

</td>

</tr>

<tr>

</td>

</td>

</tr>

<tr>

</td>

</td>

</tr>

<tr>

</td>

</td>

</tr>

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</td>

</td>

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</td>

</td>

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</table>

<br />

<h1 id="toc2"><a name="Chords of magic"></a><a class="wiki_link" href="/Chords%20of%20magic">Chords of magic</a></h1>

<br />

<h1 id="~~toc2~~"><a name="Music"></a>Music</h1>

<h1 id="toc3"><a name="Music"></a>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><br />

<a class="wiki_link" href="/magic16">magic16</a><br />

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<br />

<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Thinking_CBobro.mp3" rel="nofollow">Magical Thinking</a><br />

<em>A brief example of using &quot;magic temperament&quot; <a href="http://xenharmonic.wikispaces.com/Magic+family">http://xenharmonic.wikispaces.com/Magic+family</a> <br />

<em>A brief example of using &quot;magic temperament&quot; <a href="http://xenharmonic.wikispaces.com/Magic+family">http://xenharmonic.wikispaces.com/Magic+family</a> <br />

to equate the intervals 36/35 and 25/24 into one &quot;semitone&quot; step, specifically to distinguish between seventh chords using 7:4 and 9:5, i.e. harmonic 4:5:6:7 chords and traditional &quot;dominant&quot; chords tuned with a 6:5 above the 3:2. For analog organ and faded chrysanthemum-Cameron Bobro</em><br />

<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:genewardsmith|genewardsmith]] and made on <tt>2012-08-26 17:03:07 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-11-03 11:19:38 UTC</tt>.<br>
-: The original revision id was <tt>360026519</tt>.<br>
+: The original revision id was <tt>378871700</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>
@@ Line 21: / Line 21: @@
 The generator chain val for 13-limit magic is &lt;0 5 1 12 -8 18|, so that five generators give an approximate 3, twelve 14, minus eight 11/64, and eighteen 52.
+=Spectrum of Magic Tunings by Eigenmonzos=
+||~ Eigenmonzo ||~ Fifth ||
+|| 6/5 || 378.910 ||
+|| 10/9 || 379.733 ||
+|| 7/5 || 380.228 ||
+|| 4/3 || 380.391 ||
+|| 11/9 || 380.700 ||
+|| 8/7 || 380.735 ||
+|| 12/11 || 380.818 ||
+|| 14/11 || 380.875 ||
+|| 7/6 || 380.982 ||
+|| 11/8 || 381.085 ||
+|| 11/10 || 381.666 ||
+|| 9/7 || 382.458 ||
+|| 5/4 || 386.314 ||
 =[[Chords of magic]]=
@@ Line 116: / Line 133: @@
 The generator chain val for 13-limit magic is &amp;lt;0 5 1 12 -8 18|, so that five generators give an approximate 3, twelve 14, minus eight 11/64, and eighteen 52.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Chords of magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;a class="wiki_link" href="/Chords%20of%20magic"&gt;Chords of magic&lt;/a&gt;&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Spectrum of Magic Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Spectrum of Magic Tunings by Eigenmonzos&lt;/h1&gt;
+&lt;table class="wiki_table"&gt;
+    &lt;tr&gt;
+        &lt;th&gt;Eigenmonzo&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;Fifth&lt;br /&gt;
+&lt;/th&gt;
+    &lt;/tr&gt;
+&lt;/table&gt;
+&lt;br /&gt;
+&lt;table class="wiki_table"&gt;
+    &lt;tr&gt;
+        &lt;td&gt;6/5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;378.910&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;10/9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;379.733&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;7/5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;380.228&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;4/3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;380.391&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11/9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;380.700&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;8/7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;380.735&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;12/11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;380.818&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;14/11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;380.875&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;7/6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;380.982&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11/8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;381.085&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;11/10&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;381.666&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;9/7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;382.458&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;5/4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;386.314&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+&lt;/table&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Chords of magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;a class="wiki_link" href="/Chords%20of%20magic"&gt;Chords of magic&lt;/a&gt;&lt;/h1&gt;
   &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Music&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Music&lt;/h1&gt;
 &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow"&gt;Chromatic piece in magic 16&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link" href="/magic16"&gt;magic16&lt;/a&gt;&lt;br /&gt;
@@ Line 126: / Line 240: @@
 &lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Thinking_CBobro.mp3" rel="nofollow"&gt;Magical Thinking&lt;/a&gt;&lt;br /&gt;
-&lt;em&gt;A brief example of using &amp;quot;magic temperament&amp;quot; &lt;!-- ws:start:WikiTextUrlRule:152:http://xenharmonic.wikispaces.com/Magic+family --&gt;&lt;a href="http://xenharmonic.wikispaces.com/Magic+family"&gt;http://xenharmonic.wikispaces.com/Magic+family&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:152 --&gt; &lt;br /&gt;
+&lt;em&gt;A brief example of using &amp;quot;magic temperament&amp;quot; &lt;!-- ws:start:WikiTextUrlRule:272:http://xenharmonic.wikispaces.com/Magic+family --&gt;&lt;a href="http://xenharmonic.wikispaces.com/Magic+family"&gt;http://xenharmonic.wikispaces.com/Magic+family&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:272 --&gt; &lt;br /&gt;
 to equate the intervals 36/35 and 25/24 into one &amp;quot;semitone&amp;quot; step, specifically to distinguish between seventh chords using 7:4 and 9:5, i.e. harmonic 4:5:6:7 chords and traditional &amp;quot;dominant&amp;quot; chords tuned with a 6:5 above the 3:2. For analog organ and faded chrysanthemum-Cameron Bobro&lt;/em&gt;&lt;br /&gt;
 &lt;br /&gt;