Keenan's comma pump page: Difference between revisions
Wikispaces>guest **Imported revision 255521336 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 277341392 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-20 06:42:31 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>277341392</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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* 126/125 (starling) | * 126/125 (starling) | ||
* 225/224 (marvel) | * 225/224 (marvel) | ||
* 245/243 (octarod) | * 245/243 (sensamagic/octarod) | ||
* 256/245 | * 256/245 | ||
* 405/392 | * 405/392 | ||
* 525/512 | * 525/512 (avicennma) | ||
* 686/675 (senga) | * 686/675 (senga) | ||
* 729/700 | * 729/700 | ||
* 875/864 (supermagic) | * 875/864 (keema/supermagic) | ||
* 1029/1000 (liese-related) | * 1029/1000 (keega/liese-related) | ||
* 1029/1024 (gamelisma) | * 1029/1024 (gamelisma) | ||
* 1323/1280 | * 1323/1280 | ||
| Line 81: | Line 81: | ||
* 2240/2187 | * 2240/2187 | ||
* 2401/2400 (breedsma) | * 2401/2400 (breedsma) | ||
* 2430/2401 | * 2430/2401 (nuwell) | ||
* 2500/2401 | * 2500/2401 | ||
* 3125/3024 | * 3125/3024 | ||
* 3125/3087 | * 3125/3087 (gariboh) | ||
* 3136/3125 (parahemwuer) | * 3136/3125 (hemimean/parahemwuer) | ||
* 3200/3087 | * 3200/3087 | ||
* 3645/3584 | * 3645/3584 | ||
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* 5120/5103 (hemifamity) | * 5120/5103 (hemifamity) | ||
* 5625/5488 | * 5625/5488 | ||
* 6144/6125 (hewuermity) | * 6144/6125 (porwell/hewuermity) | ||
* 6272/6075 | * 6272/6075 | ||
* 8192/7875 | * 8192/7875 | ||
| Line 100: | Line 100: | ||
* 8748/8575 | * 8748/8575 | ||
* 9604/9375 | * 9604/9375 | ||
* 10976/10935 ( | * 10976/10935 (hemimage/arahemfi) | ||
* 12005/11664 | * 12005/11664 | ||
* 12288/12005 | * 12288/12005 | ||
| Line 119: | Line 119: | ||
7-limit commas NOT tempered out by 12-equal: | 7-limit commas NOT tempered out by 12-equal: | ||
* 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. | * 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: magic, sensi, godzilla, superpyth, hedgehog. | * 245/243 (sensamagic/octarod) = 5/3 / (9/7)^2 - works in: magic, sensi, godzilla, superpyth, hedgehog. | ||
* 525/512 = (5/4)^2 / (4/3 * 8/7) - works in: negri, flattone, armodue, muggles (magic in 19edo), lemba | * 525/512 (avicennma) = (5/4)^2 / (4/3 * 8/7) - works in: negri, flattone, armodue, muggles (magic in 19edo), lemba | ||
* 686/675 (senga) | * 686/675 (senga) | ||
* 875/864 (supermagic) | * 875/864 (keema/supermagic) | ||
* 1029/1000 (liese-related) | * 1029/1000 (keega/liese-related) | ||
* 1029/1024 (gamelisma) | * 1029/1024 (gamelisma) | ||
* 1323/1280 | * 1323/1280 | ||
| Line 129: | Line 129: | ||
* 2240/2187 | * 2240/2187 | ||
* 2401/2400 (breedsma) | * 2401/2400 (breedsma) | ||
* 2430/2401 | * 2430/2401 (nuwell) | ||
* 3125/3024 | * 3125/3024 | ||
* 4375/4374 (ragisma) | * 4375/4374 (ragisma) | ||
* 6144/6125 (hewuermity) | * 6144/6125 (porwell/hewuermity) | ||
* 6272/6075 | * 6272/6075 | ||
* 8505/8192 | * 8505/8192 | ||
* 8748/8575 | * 8748/8575 | ||
* 9604/9375 | * 9604/9375 | ||
* 10976/10935 (parahemfi) | * 10976/10935 (hemimage/parahemfi) | ||
* 12005/11664 | * 12005/11664 | ||
* 12288/12005 | * 12288/12005 | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Candidate 7-limit commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Candidate 7-limit commas</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Candidate 7-limit commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Candidate 7-limit commas</h2> | ||
<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 ( | <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 (sensamagic/octarod)</li><li>256/245</li><li>405/392</li><li>525/512 (avicennma)</li><li>686/675 (senga)</li><li>729/700</li><li>875/864 (keema/supermagic)</li><li>1029/1000 (keega/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 (nuwell)</li><li>2500/2401</li><li>3125/3024</li><li>3125/3087 (gariboh)</li><li>3136/3125 (hemimean/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 (porwell/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 (hemimage/arahemfi)</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 /> | 7-limit commas NOT tempered out by 12-equal:<br /> | ||
<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> | <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 (sensamagic/octarod) = 5/3 / (9/7)^2 - works in: magic, sensi, godzilla, superpyth, hedgehog.</li><li>525/512 (avicennma) = (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 (keema/supermagic)</li><li>1029/1000 (keega/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 (nuwell)</li><li>3125/3024</li><li>4375/4374 (ragisma)</li><li>6144/6125 (porwell/hewuermity)</li><li>6272/6075</li><li>8505/8192</li><li>8748/8575</li><li>9604/9375</li><li>10976/10935 (hemimage/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> | ||