13edo: 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:~~Kosmorsky~~|~~Kosmorsky~~]] and made on <tt>2011-10-13 12:30:56 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-13 14:15:48 UTC</tt>.<br>

: The original revision id was <tt>~~264442274~~</tt>.<br>

: The original revision id was <tt>264488592</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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=Animism=

The animist comma appears whenever 3*5*7=13... 26 edo approximates 3, 5, and 7 individually, however 13 edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction

The animist comma, 105/104, appears whenever 3*5*7=13... 26 edo approximates 3, 5, and 7 individually, however 13 edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction

0 4 5 8 9 13 pentatonic

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<h1 id="toc4"><a name="Animism"></a>Animism</h1>

<br />

The animist comma appears whenever 3*5*7=13... 26 edo approximates 3, 5, and 7 individually, however 13 edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction<br />

The animist comma, 105/104, appears whenever 3*5*7=13... 26 edo approximates 3, 5, and 7 individually, however 13 edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction<br />

<br />

0 4 5 8 9 13 pentatonic<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:Kosmorsky|Kosmorsky]] and made on <tt>2011-10-13 12:30:56 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-13 14:15:48 UTC</tt>.<br>
-: The original revision id was <tt>264442274</tt>.<br>
+: The original revision id was <tt>264488592</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 44: / Line 44: @@
 =Animism=
-The animist comma appears whenever 3*5*7=13... 26 edo approximates 3, 5, and 7 individually, however 13 edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction
+The animist comma, 105/104, appears whenever 3*5*7=13... 26 edo approximates 3, 5, and 7 individually, however 13 edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction
 4 5 8 9 13 pentatonic
@@ Line 323: / Line 323: @@
   &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Animism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Animism&lt;/h1&gt;
   &lt;br /&gt;
-The animist comma appears whenever 3*5*7=13... 26 edo approximates 3, 5, and 7 individually, however 13 edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction&lt;br /&gt;
+The animist comma, 105/104, appears whenever 3*5*7=13... 26 edo approximates 3, 5, and 7 individually, however 13 edo has 21/16 (=3*7) and is also an animist temperament. In 13 edo, the 5th harmonic is tuned so flatly that 5/4 = 16/13, leading to some interesting identities. So two scales stand out through this construction&lt;br /&gt;
 &lt;br /&gt;
 4 5 8 9 13 pentatonic&lt;br /&gt;