Keenan's comma pump page: Difference between revisions
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Wikispaces>keenanpepper **Imported revision 248381623 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 248581957 - 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- | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-26 01:33:24 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>248581957</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> | ||
| Line 40: | Line 40: | ||
225/224 (marvel) | 225/224 (marvel) | ||
245/243 (octarod) | 245/243 (octarod) | ||
256/245 | |||
405/392 | |||
525/512 | 525/512 | ||
686/675 (senga) | 686/675 (senga) | ||
729/700 | |||
875/864 (supermagic) | 875/864 (supermagic) | ||
1029/1000 (liese-related) | 1029/1000 (liese-related) | ||
1029/1024 (gamelisma) | 1029/1024 (gamelisma) | ||
1323/1280 | |||
1728/1715 (orwellian) | 1728/1715 (orwellian) | ||
2240/2187 | 2240/2187 | ||
2401/2400 (breedsma) | 2401/2400 (breedsma) | ||
2430/2401 | 2430/2401 | ||
2500/2401 | |||
3125/3024 | |||
3125/3087 | 3125/3087 | ||
3136/3125 (parahemwuer) | 3136/3125 (parahemwuer) | ||
3200/3087 | |||
3645/3584 | 3645/3584 | ||
4000/3969 (octagari) | 4000/3969 (octagari) | ||
4096/3969 | |||
4375/4374 (ragisma) | 4375/4374 (ragisma) | ||
5103/5000 | 5103/5000 | ||
| Line 58: | Line 66: | ||
5625/5488 | 5625/5488 | ||
6144/6125 (hewuermity) | 6144/6125 (hewuermity) | ||
6272/6075 | |||
8192/7875 | |||
8505/8192 | |||
8748/8575 | 8748/8575 | ||
9604/9375 | 9604/9375 | ||
10976/10935 (parahemfi) | 10976/10935 (parahemfi) | ||
12005/11664 | |||
12288/12005 | 12288/12005 | ||
15625/15309 | 15625/15309 | ||
16128/15625 | |||
16807/16200 | |||
16807/16384 (blacksmith-related) | 16807/16384 (blacksmith-related) | ||
16875/16807 (mirkwai) | 16875/16807 (mirkwai) | ||
17280/16807 | 17280/16807 | ||
17496/16807 | |||
19683/19208 (squares-related) | 19683/19208 (squares-related) | ||
19683/19600 (cataharry) | 19683/19600 (cataharry) | ||
| Line 81: | Line 96: | ||
1029/1000 (liese-related) | 1029/1000 (liese-related) | ||
1029/1024 (gamelisma) | 1029/1024 (gamelisma) | ||
1323/1280 | |||
1728/1715 (orwellian) | 1728/1715 (orwellian) | ||
2240/2187 | 2240/2187 | ||
2401/2400 (breedsma) | 2401/2400 (breedsma) | ||
2430/2401 | 2430/2401 | ||
3125/3024 | |||
4375/4374 (ragisma) | 4375/4374 (ragisma) | ||
6144/6125 (hewuermity) | 6144/6125 (hewuermity) | ||
6272/6075 | |||
8505/8192 | |||
8748/8575 | 8748/8575 | ||
9604/9375 | 9604/9375 | ||
10976/10935 (parahemfi) | 10976/10935 (parahemfi) | ||
12005/11664 | |||
12288/12005 | 12288/12005 | ||
15625/15309 | 15625/15309 | ||
16807/16200 | |||
16807/16384 (blacksmith-related) | 16807/16384 (blacksmith-related) | ||
16875/16807 (mirkwai) | 16875/16807 (mirkwai) | ||
17280/16807 | 17280/16807 | ||
17496/16807 | |||
19683/19208 (squares-related) | 19683/19208 (squares-related) | ||
19683/19600 (cataharry) | 19683/19600 (cataharry) | ||
| Line 135: | Line 157: | ||
225/224 (marvel)<br /> | 225/224 (marvel)<br /> | ||
245/243 (octarod)<br /> | 245/243 (octarod)<br /> | ||
256/245<br /> | |||
405/392<br /> | |||
525/512<br /> | 525/512<br /> | ||
686/675 (senga)<br /> | 686/675 (senga)<br /> | ||
729/700<br /> | |||
875/864 (supermagic)<br /> | 875/864 (supermagic)<br /> | ||
1029/1000 (liese-related)<br /> | 1029/1000 (liese-related)<br /> | ||
1029/1024 (gamelisma)<br /> | 1029/1024 (gamelisma)<br /> | ||
1323/1280<br /> | |||
1728/1715 (orwellian)<br /> | 1728/1715 (orwellian)<br /> | ||
2240/2187<br /> | 2240/2187<br /> | ||
2401/2400 (breedsma)<br /> | 2401/2400 (breedsma)<br /> | ||
2430/2401<br /> | 2430/2401<br /> | ||
2500/2401<br /> | |||
3125/3024<br /> | |||
3125/3087<br /> | 3125/3087<br /> | ||
3136/3125 (parahemwuer)<br /> | 3136/3125 (parahemwuer)<br /> | ||
3200/3087<br /> | |||
3645/3584<br /> | 3645/3584<br /> | ||
4000/3969 (octagari)<br /> | 4000/3969 (octagari)<br /> | ||
4096/3969<br /> | |||
4375/4374 (ragisma)<br /> | 4375/4374 (ragisma)<br /> | ||
5103/5000<br /> | 5103/5000<br /> | ||
| Line 153: | Line 183: | ||
5625/5488<br /> | 5625/5488<br /> | ||
6144/6125 (hewuermity)<br /> | 6144/6125 (hewuermity)<br /> | ||
6272/6075<br /> | |||
8192/7875<br /> | |||
8505/8192<br /> | |||
8748/8575<br /> | 8748/8575<br /> | ||
9604/9375<br /> | 9604/9375<br /> | ||
10976/10935 (parahemfi)<br /> | 10976/10935 (parahemfi)<br /> | ||
12005/11664<br /> | |||
12288/12005<br /> | 12288/12005<br /> | ||
15625/15309<br /> | 15625/15309<br /> | ||
16128/15625<br /> | |||
16807/16200<br /> | |||
16807/16384 (blacksmith-related)<br /> | 16807/16384 (blacksmith-related)<br /> | ||
16875/16807 (mirkwai)<br /> | 16875/16807 (mirkwai)<br /> | ||
17280/16807<br /> | 17280/16807<br /> | ||
17496/16807<br /> | |||
19683/19208 (squares-related)<br /> | 19683/19208 (squares-related)<br /> | ||
19683/19600 (cataharry)<br /> | 19683/19600 (cataharry)<br /> | ||
| Line 176: | Line 213: | ||
1029/1000 (liese-related)<br /> | 1029/1000 (liese-related)<br /> | ||
1029/1024 (gamelisma)<br /> | 1029/1024 (gamelisma)<br /> | ||
1323/1280<br /> | |||
1728/1715 (orwellian)<br /> | 1728/1715 (orwellian)<br /> | ||
2240/2187<br /> | 2240/2187<br /> | ||
2401/2400 (breedsma)<br /> | 2401/2400 (breedsma)<br /> | ||
2430/2401<br /> | 2430/2401<br /> | ||
3125/3024<br /> | |||
4375/4374 (ragisma)<br /> | 4375/4374 (ragisma)<br /> | ||
6144/6125 (hewuermity)<br /> | 6144/6125 (hewuermity)<br /> | ||
6272/6075<br /> | |||
8505/8192<br /> | |||
8748/8575<br /> | 8748/8575<br /> | ||
9604/9375<br /> | 9604/9375<br /> | ||
10976/10935 (parahemfi)<br /> | 10976/10935 (parahemfi)<br /> | ||
12005/11664<br /> | |||
12288/12005<br /> | 12288/12005<br /> | ||
15625/15309<br /> | 15625/15309<br /> | ||
16807/16200<br /> | |||
16807/16384 (blacksmith-related)<br /> | 16807/16384 (blacksmith-related)<br /> | ||
16875/16807 (mirkwai)<br /> | 16875/16807 (mirkwai)<br /> | ||
17280/16807<br /> | 17280/16807<br /> | ||
17496/16807<br /> | |||
19683/19208 (squares-related)<br /> | 19683/19208 (squares-related)<br /> | ||
19683/19600 (cataharry)<br /> | 19683/19600 (cataharry)<br /> | ||
Revision as of 01:33, 26 August 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author keenanpepper and made on 2011-08-26 01:33:24 UTC.
- The original revision id was 248581957.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
Candidate 5-limit commas: 81/80 (meantone) 128/125 (augmented) 135/128 (mavila) 250/243 (porcupine) 256/243 (blackwood) 648/625 (diminished) 2048/2025 (srutal) 3125/3072 (magic) 6561/6250 (ripple) 15625/15552 (hanson) 16875/16384 (negri) 20000/19683 (tetracot) 20480/19683 (superpyth) 32805/32768 (helmholtz) 5-limit commas NOT tempered out by 12-equal: 135/128 (mavila) 250/243 (porcupine) 256/243 (blackwood) 3125/3072 (magic) 15625/15552 (hanson) 16875/16384 (negri) 20000/19683 (tetracot) 20480/19683 (superpyth) This seems like a really good list. Candidate 7-limit commas: 49/48 (2.3.7 semaphore) 50/49 (jubilisma) 64/63 (archytas) 126/125 (starling) 225/224 (marvel) 245/243 (octarod) 256/245 405/392 525/512 686/675 (senga) 729/700 875/864 (supermagic) 1029/1000 (liese-related) 1029/1024 (gamelisma) 1323/1280 1728/1715 (orwellian) 2240/2187 2401/2400 (breedsma) 2430/2401 2500/2401 3125/3024 3125/3087 3136/3125 (parahemwuer) 3200/3087 3645/3584 4000/3969 (octagari) 4096/3969 4375/4374 (ragisma) 5103/5000 5120/5103 (hemifamity) 5625/5488 6144/6125 (hewuermity) 6272/6075 8192/7875 8505/8192 8748/8575 9604/9375 10976/10935 (parahemfi) 12005/11664 12288/12005 15625/15309 16128/15625 16807/16200 16807/16384 (blacksmith-related) 16875/16807 (mirkwai) 17280/16807 17496/16807 19683/19208 (squares-related) 19683/19600 (cataharry) 28672/28125 31104/30625 33075/32768 33614/32805 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. 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 686/675 (senga) 875/864 (supermagic) 1029/1000 (liese-related) 1029/1024 (gamelisma) 1323/1280 1728/1715 (orwellian) 2240/2187 2401/2400 (breedsma) 2430/2401 3125/3024 4375/4374 (ragisma) 6144/6125 (hewuermity) 6272/6075 8505/8192 8748/8575 9604/9375 10976/10935 (parahemfi) 12005/11664 12288/12005 15625/15309 16807/16200 16807/16384 (blacksmith-related) 16875/16807 (mirkwai) 17280/16807 17496/16807 19683/19208 (squares-related) 19683/19600 (cataharry) 31104/30625 33075/32768 33614/32805
Original HTML content:
<html><head><title>Keenan's comma pump page</title></head><body>Candidate 5-limit commas:<br /> 81/80 (meantone)<br /> 128/125 (augmented)<br /> 135/128 (mavila)<br /> 250/243 (porcupine)<br /> 256/243 (blackwood)<br /> 648/625 (diminished)<br /> 2048/2025 (srutal)<br /> 3125/3072 (magic)<br /> 6561/6250 (ripple)<br /> 15625/15552 (hanson)<br /> 16875/16384 (negri)<br /> 20000/19683 (tetracot)<br /> 20480/19683 (superpyth)<br /> 32805/32768 (helmholtz)<br /> <br /> 5-limit commas NOT tempered out by 12-equal:<br /> 135/128 (mavila)<br /> 250/243 (porcupine)<br /> 256/243 (blackwood)<br /> 3125/3072 (magic)<br /> 15625/15552 (hanson)<br /> 16875/16384 (negri)<br /> 20000/19683 (tetracot)<br /> 20480/19683 (superpyth)<br /> This seems like a really good list.<br /> <br /> Candidate 7-limit commas:<br /> 49/48 (2.3.7 semaphore)<br /> 50/49 (jubilisma)<br /> 64/63 (archytas)<br /> 126/125 (starling)<br /> 225/224 (marvel)<br /> 245/243 (octarod)<br /> 256/245<br /> 405/392<br /> 525/512<br /> 686/675 (senga)<br /> 729/700<br /> 875/864 (supermagic)<br /> 1029/1000 (liese-related)<br /> 1029/1024 (gamelisma)<br /> 1323/1280<br /> 1728/1715 (orwellian)<br /> 2240/2187<br /> 2401/2400 (breedsma)<br /> 2430/2401<br /> 2500/2401<br /> 3125/3024<br /> 3125/3087<br /> 3136/3125 (parahemwuer)<br /> 3200/3087<br /> 3645/3584<br /> 4000/3969 (octagari)<br /> 4096/3969<br /> 4375/4374 (ragisma)<br /> 5103/5000<br /> 5120/5103 (hemifamity)<br /> 5625/5488<br /> 6144/6125 (hewuermity)<br /> 6272/6075<br /> 8192/7875<br /> 8505/8192<br /> 8748/8575<br /> 9604/9375<br /> 10976/10935 (parahemfi)<br /> 12005/11664<br /> 12288/12005<br /> 15625/15309<br /> 16128/15625<br /> 16807/16200<br /> 16807/16384 (blacksmith-related)<br /> 16875/16807 (mirkwai)<br /> 17280/16807<br /> 17496/16807<br /> 19683/19208 (squares-related)<br /> 19683/19600 (cataharry)<br /> 28672/28125<br /> 31104/30625<br /> 33075/32768<br /> 33614/32805<br /> <br /> 7-limit commas NOT tempered out by 12-equal:<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) = 5/3 / (9/7)^2 - works in many temperaments including magic, sensi, godzilla, superpyth<br /> 525/512 = (5/4)^2 / (4/3 * 8/7) - basically a negri thing<br /> 686/675 (senga)<br /> 875/864 (supermagic)<br /> 1029/1000 (liese-related)<br /> 1029/1024 (gamelisma)<br /> 1323/1280<br /> 1728/1715 (orwellian)<br /> 2240/2187<br /> 2401/2400 (breedsma)<br /> 2430/2401<br /> 3125/3024<br /> 4375/4374 (ragisma)<br /> 6144/6125 (hewuermity)<br /> 6272/6075<br /> 8505/8192<br /> 8748/8575<br /> 9604/9375<br /> 10976/10935 (parahemfi)<br /> 12005/11664<br /> 12288/12005<br /> 15625/15309<br /> 16807/16200<br /> 16807/16384 (blacksmith-related)<br /> 16875/16807 (mirkwai)<br /> 17280/16807<br /> 17496/16807<br /> 19683/19208 (squares-related)<br /> 19683/19600 (cataharry)<br /> 31104/30625<br /> 33075/32768<br /> 33614/32805</body></html>