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:guest|guest]] and made on <tt>2011-09-~~18 14~~:01:54 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2011-09-19 03:55:41 UTC</tt>.<br>

: The original revision id was <tt>~~255309224~~</tt>.<br>

: The original revision id was <tt>255521342</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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7-limit commas NOT tempered out by 12-equal:

* 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.

* 49/48 (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) = 5/3 / (9/7)^2 - works in ~~many temperaments including~~ magic, sensi, godzilla, superpyth

* 245/243 (octarod) = 5/3 / (9/7)^2 - works in: magic, sensi, godzilla, superpyth, hedgehog.

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

* 525/512 = (5/4)^2 / (4/3 * 8/7) - works in: negri, flattone, armodue, muggles (magic in 19edo), lemba

* 686/675 (senga)

* 875/864 (supermagic)

Line 189:

<ul><li>49/48 (semiphore)</li><li>50/49 (jubilisma)</li><li>64/63 (archytas)</li><li>126/125 (starling)</li><li>225/224 (marvel)</li><li>245/243 (octarod)</li><li>256/245</li><li>405/392</li><li>525/512</li><li>686/675 (senga)</li><li>729/700</li><li>875/864 (supermagic)</li><li>1029/1000 (liese-related)</li><li>1029/1024 (gamelisma)</li><li>1323/1280</li><li>1728/1715 (orwellian)</li><li>2240/2187</li><li>2401/2400 (breedsma)</li><li>2430/2401</li><li>2500/2401</li><li>3125/3024</li><li>3125/3087</li><li>3136/3125 (parahemwuer)</li><li>3200/3087</li><li>3645/3584</li><li>4000/3969 (octagari)</li><li>4096/3969</li><li>4375/4374 (ragisma)</li><li>5103/5000</li><li>5120/5103 (hemifamity)</li><li>5625/5488</li><li>6144/6125 (hewuermity)</li><li>6272/6075</li><li>8192/7875</li><li>8505/8192</li><li>8748/8575</li><li>9604/9375</li><li>10976/10935 (parahemfi)</li><li>12005/11664</li><li>12288/12005</li><li>15625/15309</li><li>16128/15625</li><li>16807/16200</li><li>16807/16384 (blacksmith-related)</li><li>16875/16807 (mirkwai)</li><li>17280/16807</li><li>17496/16807</li><li>19683/19208 (squares-related)</li><li>19683/19600 (cataharry)</li><li>28672/28125</li><li>31104/30625</li><li>33075/32768</li><li>33614/32805</li></ul><br />

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

<ul><li>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.</li><li>245/243 (octarod) = 5/3 / (9/7)^2 - works in ~~many temperaments including~~ magic, sensi, godzilla, superpyth</li><li>525/512 = (5/4)^2 / (4/3 * 8/7) - ~~basically a~~ negri ~~thing~~</li><li>686/675 (senga)</li><li>875/864 (supermagic)</li><li>1029/1000 (liese-related)</li><li>1029/1024 (gamelisma)</li><li>1323/1280</li><li>1728/1715 (orwellian)</li><li>2240/2187</li><li>2401/2400 (breedsma)</li><li>2430/2401</li><li>3125/3024</li><li>4375/4374 (ragisma)</li><li>6144/6125 (hewuermity)</li><li>6272/6075</li><li>8505/8192</li><li>8748/8575</li><li>9604/9375</li><li>10976/10935 (parahemfi)</li><li>12005/11664</li><li>12288/12005</li><li>15625/15309</li><li>16807/16200</li><li>16807/16384 (blacksmith-related)</li><li>16875/16807 (mirkwai)</li><li>17280/16807</li><li>17496/16807</li><li>19683/19208 (squares-related)</li><li>19683/19600 (cataharry)</li><li>31104/30625</li><li>33075/32768</li><li>33614/32805</li></ul></body></html></pre></div>

<ul><li>49/48 (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.</li><li>245/243 (octarod) = 5/3 / (9/7)^2 - works in: magic, sensi, godzilla, superpyth, hedgehog.</li><li>525/512 = (5/4)^2 / (4/3 * 8/7) - works in: negri, flattone, armodue, muggles (magic in 19edo), lemba</li><li>686/675 (senga)</li><li>875/864 (supermagic)</li><li>1029/1000 (liese-related)</li><li>1029/1024 (gamelisma)</li><li>1323/1280</li><li>1728/1715 (orwellian)</li><li>2240/2187</li><li>2401/2400 (breedsma)</li><li>2430/2401</li><li>3125/3024</li><li>4375/4374 (ragisma)</li><li>6144/6125 (hewuermity)</li><li>6272/6075</li><li>8505/8192</li><li>8748/8575</li><li>9604/9375</li><li>10976/10935 (parahemfi)</li><li>12005/11664</li><li>12288/12005</li><li>15625/15309</li><li>16807/16200</li><li>16807/16384 (blacksmith-related)</li><li>16875/16807 (mirkwai)</li><li>17280/16807</li><li>17496/16807</li><li>19683/19208 (squares-related)</li><li>19683/19600 (cataharry)</li><li>31104/30625</li><li>33075/32768</li><li>33614/32805</li></ul></body></html></pre></div>

@@ 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:guest|guest]] and made on <tt>2011-09-18 14:01:54 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2011-09-19 03:55:41 UTC</tt>.<br>
-: The original revision id was <tt>255309224</tt>.<br>
+: The original revision id was <tt>255521342</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 118: / Line 118: @@
 -limit commas NOT tempered out by 12-equal:
-* 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.
+* 49/48 (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) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth
+* 245/243 (octarod) = 5/3 / (9/7)^2 - works in: magic, sensi, godzilla, superpyth, hedgehog.
-* 525/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing
+* 525/512 = (5/4)^2 / (4/3 * 8/7) - works in: negri, flattone, armodue, muggles (magic in 19edo), lemba
 * 686/675 (senga)
 * 875/864 (supermagic)
@@ Line 189: / Line 189: @@
   &lt;ul&gt;&lt;li&gt;49/48 (semiphore)&lt;/li&gt;&lt;li&gt;50/49 (jubilisma)&lt;/li&gt;&lt;li&gt;64/63 (archytas)&lt;/li&gt;&lt;li&gt;126/125 (starling)&lt;/li&gt;&lt;li&gt;225/224 (marvel)&lt;/li&gt;&lt;li&gt;245/243 (octarod)&lt;/li&gt;&lt;li&gt;256/245&lt;/li&gt;&lt;li&gt;405/392&lt;/li&gt;&lt;li&gt;525/512&lt;/li&gt;&lt;li&gt;686/675 (senga)&lt;/li&gt;&lt;li&gt;729/700&lt;/li&gt;&lt;li&gt;875/864 (supermagic)&lt;/li&gt;&lt;li&gt;1029/1000 (liese-related)&lt;/li&gt;&lt;li&gt;1029/1024 (gamelisma)&lt;/li&gt;&lt;li&gt;1323/1280&lt;/li&gt;&lt;li&gt;1728/1715 (orwellian)&lt;/li&gt;&lt;li&gt;2240/2187&lt;/li&gt;&lt;li&gt;2401/2400 (breedsma)&lt;/li&gt;&lt;li&gt;2430/2401&lt;/li&gt;&lt;li&gt;2500/2401&lt;/li&gt;&lt;li&gt;3125/3024&lt;/li&gt;&lt;li&gt;3125/3087&lt;/li&gt;&lt;li&gt;3136/3125 (parahemwuer)&lt;/li&gt;&lt;li&gt;3200/3087&lt;/li&gt;&lt;li&gt;3645/3584&lt;/li&gt;&lt;li&gt;4000/3969 (octagari)&lt;/li&gt;&lt;li&gt;4096/3969&lt;/li&gt;&lt;li&gt;4375/4374 (ragisma)&lt;/li&gt;&lt;li&gt;5103/5000&lt;/li&gt;&lt;li&gt;5120/5103 (hemifamity)&lt;/li&gt;&lt;li&gt;5625/5488&lt;/li&gt;&lt;li&gt;6144/6125 (hewuermity)&lt;/li&gt;&lt;li&gt;6272/6075&lt;/li&gt;&lt;li&gt;8192/7875&lt;/li&gt;&lt;li&gt;8505/8192&lt;/li&gt;&lt;li&gt;8748/8575&lt;/li&gt;&lt;li&gt;9604/9375&lt;/li&gt;&lt;li&gt;10976/10935 (parahemfi)&lt;/li&gt;&lt;li&gt;12005/11664&lt;/li&gt;&lt;li&gt;12288/12005&lt;/li&gt;&lt;li&gt;15625/15309&lt;/li&gt;&lt;li&gt;16128/15625&lt;/li&gt;&lt;li&gt;16807/16200&lt;/li&gt;&lt;li&gt;16807/16384 (blacksmith-related)&lt;/li&gt;&lt;li&gt;16875/16807 (mirkwai)&lt;/li&gt;&lt;li&gt;17280/16807&lt;/li&gt;&lt;li&gt;17496/16807&lt;/li&gt;&lt;li&gt;19683/19208 (squares-related)&lt;/li&gt;&lt;li&gt;19683/19600 (cataharry)&lt;/li&gt;&lt;li&gt;28672/28125&lt;/li&gt;&lt;li&gt;31104/30625&lt;/li&gt;&lt;li&gt;33075/32768&lt;/li&gt;&lt;li&gt;33614/32805&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
 -limit commas NOT tempered out by 12-equal:&lt;br /&gt;
-&lt;ul&gt;&lt;li&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;/li&gt;&lt;li&gt;245/243 (octarod) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth&lt;/li&gt;&lt;li&gt;525/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing&lt;/li&gt;&lt;li&gt;686/675 (senga)&lt;/li&gt;&lt;li&gt;875/864 (supermagic)&lt;/li&gt;&lt;li&gt;1029/1000 (liese-related)&lt;/li&gt;&lt;li&gt;1029/1024 (gamelisma)&lt;/li&gt;&lt;li&gt;1323/1280&lt;/li&gt;&lt;li&gt;1728/1715 (orwellian)&lt;/li&gt;&lt;li&gt;2240/2187&lt;/li&gt;&lt;li&gt;2401/2400 (breedsma)&lt;/li&gt;&lt;li&gt;2430/2401&lt;/li&gt;&lt;li&gt;3125/3024&lt;/li&gt;&lt;li&gt;4375/4374 (ragisma)&lt;/li&gt;&lt;li&gt;6144/6125 (hewuermity)&lt;/li&gt;&lt;li&gt;6272/6075&lt;/li&gt;&lt;li&gt;8505/8192&lt;/li&gt;&lt;li&gt;8748/8575&lt;/li&gt;&lt;li&gt;9604/9375&lt;/li&gt;&lt;li&gt;10976/10935 (parahemfi)&lt;/li&gt;&lt;li&gt;12005/11664&lt;/li&gt;&lt;li&gt;12288/12005&lt;/li&gt;&lt;li&gt;15625/15309&lt;/li&gt;&lt;li&gt;16807/16200&lt;/li&gt;&lt;li&gt;16807/16384 (blacksmith-related)&lt;/li&gt;&lt;li&gt;16875/16807 (mirkwai)&lt;/li&gt;&lt;li&gt;17280/16807&lt;/li&gt;&lt;li&gt;17496/16807&lt;/li&gt;&lt;li&gt;19683/19208 (squares-related)&lt;/li&gt;&lt;li&gt;19683/19600 (cataharry)&lt;/li&gt;&lt;li&gt;31104/30625&lt;/li&gt;&lt;li&gt;33075/32768&lt;/li&gt;&lt;li&gt;33614/32805&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;ul&gt;&lt;li&gt;49/48 (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;/li&gt;&lt;li&gt;245/243 (octarod) = 5/3 / (9/7)^2 - works in: magic, sensi, godzilla, superpyth, hedgehog.&lt;/li&gt;&lt;li&gt;525/512 = (5/4)^2 / (4/3 * 8/7) - works in: negri, flattone, armodue, muggles (magic in 19edo), lemba&lt;/li&gt;&lt;li&gt;686/675 (senga)&lt;/li&gt;&lt;li&gt;875/864 (supermagic)&lt;/li&gt;&lt;li&gt;1029/1000 (liese-related)&lt;/li&gt;&lt;li&gt;1029/1024 (gamelisma)&lt;/li&gt;&lt;li&gt;1323/1280&lt;/li&gt;&lt;li&gt;1728/1715 (orwellian)&lt;/li&gt;&lt;li&gt;2240/2187&lt;/li&gt;&lt;li&gt;2401/2400 (breedsma)&lt;/li&gt;&lt;li&gt;2430/2401&lt;/li&gt;&lt;li&gt;3125/3024&lt;/li&gt;&lt;li&gt;4375/4374 (ragisma)&lt;/li&gt;&lt;li&gt;6144/6125 (hewuermity)&lt;/li&gt;&lt;li&gt;6272/6075&lt;/li&gt;&lt;li&gt;8505/8192&lt;/li&gt;&lt;li&gt;8748/8575&lt;/li&gt;&lt;li&gt;9604/9375&lt;/li&gt;&lt;li&gt;10976/10935 (parahemfi)&lt;/li&gt;&lt;li&gt;12005/11664&lt;/li&gt;&lt;li&gt;12288/12005&lt;/li&gt;&lt;li&gt;15625/15309&lt;/li&gt;&lt;li&gt;16807/16200&lt;/li&gt;&lt;li&gt;16807/16384 (blacksmith-related)&lt;/li&gt;&lt;li&gt;16875/16807 (mirkwai)&lt;/li&gt;&lt;li&gt;17280/16807&lt;/li&gt;&lt;li&gt;17496/16807&lt;/li&gt;&lt;li&gt;19683/19208 (squares-related)&lt;/li&gt;&lt;li&gt;19683/19600 (cataharry)&lt;/li&gt;&lt;li&gt;31104/30625&lt;/li&gt;&lt;li&gt;33075/32768&lt;/li&gt;&lt;li&gt;33614/32805&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>