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:keenanpepper|keenanpepper]] and made on <tt>2011-08-25 06:52:13 UTC</tt>.<br>

: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-25 07:09:11 UTC</tt>.<br>

: The original revision id was <tt>~~248380063~~</tt>.<br>

: The original revision id was <tt>248381623</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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20000/19683 (tetracot)

20480/19683 (superpyth)

This seems like a really good list.

Candidate 7-limit commas:

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7-limit commas NOT tempered out by 12-equal:

49/48 (2.3.7 semaphore)

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.

245/243 (octarod)

245/243 (octarod) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth

525/512

525/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing

686/675 (senga)

875/864 (supermagic)

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31104/30625

33075/32768

33614/32805

33614/32805</pre></div>

</pre></div>

<h4>Original HTML content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Keenan's comma pump page</title></head><body>Candidate 5-limit commas:<br />

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20000/19683 (tetracot)<br />

20480/19683 (superpyth)<br />

This seems like a really good list.<br />

<br />

Candidate 7-limit commas:<br />

Line 168:

Line 169:

<br />

7-limit commas NOT tempered out by 12-equal:<br />

49/48 (2.3.7 semaphore)<br />

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.<br />

245/243 (octarod)<br />

245/243 (octarod) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth<br />

525/512<br />

525/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing<br />

686/675 (senga)<br />

875/864 (supermagic)<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:keenanpepper|keenanpepper]] and made on <tt>2011-08-25 06:52:13 UTC</tt>.<br>
+: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-25 07:09:11 UTC</tt>.<br>
-: The original revision id was <tt>248380063</tt>.<br>
+: The original revision id was <tt>248381623</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 31: / Line 31: @@
 /19683 (tetracot)
 /19683 (superpyth)
+This seems like a really good list.
 Candidate 7-limit commas:
@@ Line 73: / Line 74: @@
 -limit commas NOT tempered out by 12-equal:
-/48 (2.3.7 semaphore)
+/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.
-/243 (octarod)
+/243 (octarod) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth
-/512
+/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing
 /675 (senga)
 /864 (supermagic)
@@ Line 98: / Line 99: @@
 /30625
 /32768
-/32805
+/32805</pre></div>
-</pre></div>
 <h4>Original HTML content:</h4>
 <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Keenan's comma pump page&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Candidate 5-limit commas:&lt;br /&gt;
@@ Line 126: / Line 126: @@
 /19683 (tetracot)&lt;br /&gt;
 /19683 (superpyth)&lt;br /&gt;
+This seems like a really good list.&lt;br /&gt;
 &lt;br /&gt;
 Candidate 7-limit commas:&lt;br /&gt;
@@ Line 168: / Line 169: @@
 &lt;br /&gt;
 -limit commas NOT tempered out by 12-equal:&lt;br /&gt;
-/48 (2.3.7 semaphore)&lt;br /&gt;
+/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;
-/243 (octarod)&lt;br /&gt;
+/243 (octarod) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth&lt;br /&gt;
-/512&lt;br /&gt;
+/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing&lt;br /&gt;
 /675 (senga)&lt;br /&gt;
 /864 (supermagic)&lt;br /&gt;