Keenan's comma pump page: 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:~~mbattaglia1~~|~~mbattaglia1~~]] and made on <tt>~~2012~~-05-~~19 04~~:31:28 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2013-02-15 17:37:30 UTC</tt>.<br>

: The original revision id was <tt>~~337249178~~</tt>.<br>

: The original revision id was <tt>407391498</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 simplest mavila comma pumps involve 3 root motions by 4/3 and one by 5/4. Bringing 6/5 into the picture can only make the progressions more complicated.

In this way mavila comma pumps have exactly the same structure as meantone comma pumps, except with the "wrong" kinds of thirds (6/5 and 5/4 are swapped). This is an example of a well-known mapping between mavila and meantone (see [[http://soundcloud.com/~~mikebattagliamusic~~/sets/the-mavila-experiments]]).

In this way mavila comma pumps have exactly the same structure as meantone comma pumps, except with the "wrong" kinds of thirds (6/5 and 5/4 are swapped). This is an example of a well-known mapping between mavila and meantone (see [[@http://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments]]).

==Porcupine==

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The simplest mavila comma pumps involve 3 root motions by 4/3 and one by 5/4. Bringing 6/5 into the picture can only make the progressions more complicated.<br />

<br />

In this way mavila comma pumps have exactly the same structure as meantone comma pumps, except with the &quot;wrong&quot; kinds of thirds (6/5 and 5/4 are swapped). This is an example of a well-known mapping between mavila and meantone (see <a class="wiki_link_ext" href="http://soundcloud.com/~~mikebattagliamusic~~/sets/the-mavila-experiments" rel="nofollow">http://soundcloud.com/~~mikebattagliamusic~~/sets/the-mavila-experiments</a>).<br />

In this way mavila comma pumps have exactly the same structure as meantone comma pumps, except with the &quot;wrong&quot; kinds of thirds (6/5 and 5/4 are swapped). This is an example of a well-known mapping between mavila and meantone (see <a class="wiki_link_ext" href="http://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments" rel="nofollow" target="_blank">http://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments</a>).<br />

<br />

<h2 id="toc2"><a name="x-Porcupine"></a>Porcupine</h2>

@@ 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:mbattaglia1|mbattaglia1]] and made on <tt>2012-05-19 04:31:28 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2013-02-15 17:37:30 UTC</tt>.<br>
-: The original revision id was <tt>337249178</tt>.<br>
+: The original revision id was <tt>407391498</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 46: / Line 46: @@
 The simplest mavila comma pumps involve 3 root motions by 4/3 and one by 5/4. Bringing 6/5 into the picture can only make the progressions more complicated.
-In this way mavila comma pumps have exactly the same structure as meantone comma pumps, except with the "wrong" kinds of thirds (6/5 and 5/4 are swapped). This is an example of a well-known mapping between mavila and meantone (see [[http://soundcloud.com/mikebattagliamusic/sets/the-mavila-experiments]]).
+In this way mavila comma pumps have exactly the same structure as meantone comma pumps, except with the "wrong" kinds of thirds (6/5 and 5/4 are swapped). This is an example of a well-known mapping between mavila and meantone (see [[@http://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments]]).
 ==Porcupine==
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 The simplest mavila comma pumps involve 3 root motions by 4/3 and one by 5/4. Bringing 6/5 into the picture can only make the progressions more complicated.&lt;br /&gt;
 &lt;br /&gt;
-In this way mavila comma pumps have exactly the same structure as meantone comma pumps, except with the &amp;quot;wrong&amp;quot; kinds of thirds (6/5 and 5/4 are swapped). This is an example of a well-known mapping between mavila and meantone (see &lt;a class="wiki_link_ext" href="http://soundcloud.com/mikebattagliamusic/sets/the-mavila-experiments" rel="nofollow"&gt;http://soundcloud.com/mikebattagliamusic/sets/the-mavila-experiments&lt;/a&gt;).&lt;br /&gt;
+In this way mavila comma pumps have exactly the same structure as meantone comma pumps, except with the &amp;quot;wrong&amp;quot; kinds of thirds (6/5 and 5/4 are swapped). This is an example of a well-known mapping between mavila and meantone (see &lt;a class="wiki_link_ext" href="http://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments" rel="nofollow" target="_blank"&gt;http://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments&lt;/a&gt;).&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Porcupine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Porcupine&lt;/h2&gt;