Keenan's comma pump page: Difference between revisions

Wikispaces>keenanpepper
**Imported revision 248734771 - Original comment: **
Wikispaces>keenanpepper
**Imported revision 248975337 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2011-08-26 21:02:25 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-28 20:05:01 UTC</tt>.<br>
: The original revision id was <tt>248734771</tt>.<br>
: The original revision id was <tt>248975337</tt>.<br>
: The revision comment was: <tt></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>
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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==Candidate 7-limit commas==  
==Candidate 7-limit commas==  
49/48 (2.3.7 semaphore)
49/48 (semiphore)
50/49 (jubilisma)
50/49 (jubilisma)
64/63 (archytas)
64/63 (archytas)
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7-limit commas NOT tempered out by 12-equal:
7-limit commas NOT tempered out by 12-equal:
49/48 (2.3.7 semaphore) - This doesn't really produce good comma pumps. It basically just modifies the 7-limit tonality diamond so that 8/7~7/6; there's no cycle of consonant shifts that wouldn't also be consonant in JI.
49/48 (semiphore) - This doesn't really produce good comma pumps. It basically just modifies the 7-limit tonality diamond so that 8/7~7/6; there's no cycle of consonant shifts that wouldn't also be consonant in JI.
245/243 (octarod) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth
245/243 (octarod) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth
525/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing
525/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Candidate 7-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Candidate 7-limit commas&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Candidate 7-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Candidate 7-limit commas&lt;/h2&gt;
  49/48 (2.3.7 semaphore)&lt;br /&gt;
  49/48 (semiphore)&lt;br /&gt;
50/49 (jubilisma)&lt;br /&gt;
50/49 (jubilisma)&lt;br /&gt;
64/63 (archytas)&lt;br /&gt;
64/63 (archytas)&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
7-limit commas NOT tempered out by 12-equal:&lt;br /&gt;
7-limit commas NOT tempered out by 12-equal:&lt;br /&gt;
49/48 (2.3.7 semaphore) - This doesn't really produce good comma pumps. It basically just modifies the 7-limit tonality diamond so that 8/7~7/6; there's no cycle of consonant shifts that wouldn't also be consonant in JI.&lt;br /&gt;
49/48 (semiphore) - This doesn't really produce good comma pumps. It basically just modifies the 7-limit tonality diamond so that 8/7~7/6; there's no cycle of consonant shifts that wouldn't also be consonant in JI.&lt;br /&gt;
245/243 (octarod) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth&lt;br /&gt;
245/243 (octarod) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth&lt;br /&gt;
525/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing&lt;br /&gt;
525/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing&lt;br /&gt;