22edo: 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:~~keenanpepper~~|~~keenanpepper~~]] and made on <tt>2012-03-~~12 04~~:14:21 UTC</tt>.<br>

: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2012-03-17 06:49:00 UTC</tt>.<br>

: The original revision id was <tt>~~309993186~~</tt>.<br>

: The original revision id was <tt>311903560</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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[[image:22edo.png]]

This notation is consistent with Sagittal's notation of 5-limit JI harmony: "major" 3rds and 6ths appear as (super)pythagorean intervals flattened by a syntonic comma.

The division of the apotome into three syntonic commas also indicates 22's tempering out of the [[250_243|porcupine comma]] (which is equivalent to three syntonic commas minus a Pythagorean apotome).

===11edo===

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<img src="/file/view/22edo.png/269078624/22edo.png" alt="22edo.png" title="22edo.png" /><br />

This notation is consistent with Sagittal's notation of 5-limit JI harmony: &quot;major&quot; 3rds and 6ths appear as (super)pythagorean intervals flattened by a syntonic comma.<br />

<br />

The division of the apotome into three syntonic commas also indicates 22's tempering out of the <a class="wiki_link" href="/250_243">porcupine comma</a> (which is equivalent to three syntonic commas minus a Pythagorean apotome).<br />

<br />

<h3 id="toc6"><a name="Theory-Properties of 22 equal temperament-11edo"></a>11edo</h3>

@@ 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:keenanpepper|keenanpepper]] and made on <tt>2012-03-12 04:14:21 UTC</tt>.<br>
+: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2012-03-17 06:49:00 UTC</tt>.<br>
-: The original revision id was <tt>309993186</tt>.<br>
+: The original revision id was <tt>311903560</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 112: / Line 112: @@
 [[image:22edo.png]]
 This notation is consistent with Sagittal's notation of 5-limit JI harmony: "major" 3rds and 6ths appear as (super)pythagorean intervals flattened by a syntonic comma.
+The division of the apotome into three syntonic commas also indicates 22's tempering out of the [[250_243|porcupine comma]] (which is equivalent to three syntonic commas minus a Pythagorean apotome).
 ===11edo===
@@ Line 903: / Line 905: @@
 &lt;!-- ws:start:WikiTextLocalImageRule:783:&amp;lt;img src=&amp;quot;/file/view/22edo.png/269078624/22edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/22edo.png/269078624/22edo.png" alt="22edo.png" title="22edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:783 --&gt;&lt;br /&gt;
 This notation is consistent with Sagittal's notation of 5-limit JI harmony: &amp;quot;major&amp;quot; 3rds and 6ths appear as (super)pythagorean intervals flattened by a syntonic comma.&lt;br /&gt;
+&lt;br /&gt;
+The division of the apotome into three syntonic commas also indicates 22's tempering out of the &lt;a class="wiki_link" href="/250_243"&gt;porcupine comma&lt;/a&gt; (which is equivalent to three syntonic commas minus a Pythagorean apotome).&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="Theory-Properties of 22 equal temperament-11edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;11edo&lt;/h3&gt;