Lucy tuning: Difference between revisions
Wikispaces>genewardsmith **Imported revision 237581407 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 237586837 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-06-19 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-19 16:46:14 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>237586837</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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A reasonable mapping for [[11-limit]] extended LucyTuning would be | A reasonable mapping for [[11-limit]] extended LucyTuning would be | ||
<1200 1800+300/pi 2400+1200/pi 3400-100/pi | <1200 1800+300/pi 2400+1200/pi 3400-100/pi 4400-800/pi| | ||
This tempers out the mothra commas of 81/80, 1029/1024, 99/98 and 385/384. While Charles Lucy himself does not seem to consider the possibility of extending LucyTuning, it should be noted that the mothra mapping above gives a 7/4 of 1000-100/pi, a mere 0.659 cents flat of a just 7/4. Another way to extend LucyTuning is meanpop: | This tempers out the mothra commas of 81/80, 1029/1024, 99/98 and 385/384. While Charles Lucy himself does not seem to consider the possibility of extending LucyTuning, it should be noted that the mothra mapping above gives a 7/4 of 1000-100/pi, a mere 0.659 cents flat of a just 7/4. Another way to extend LucyTuning is meanpop: | ||
<1200 1800+300/pi 2400+1200/pi 2400+3000/pi | <1200 1800+300/pi 2400+1200/pi 2400+3000/pi 5400-3900/pi| | ||
Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective. | Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective. | ||
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A reasonable mapping for <a class="wiki_link" href="/11-limit">11-limit</a> extended LucyTuning would be<br /> | A reasonable mapping for <a class="wiki_link" href="/11-limit">11-limit</a> extended LucyTuning would be<br /> | ||
&lt;1200 1800+300/pi 2400+1200/pi 3400-100/pi | &lt;1200 1800+300/pi 2400+1200/pi 3400-100/pi 4400-800/pi|<br /> | ||
This tempers out the mothra commas of 81/80, 1029/1024, 99/98 and 385/384. While Charles Lucy himself does not seem to consider the possibility of extending LucyTuning, it should be noted that the mothra mapping above gives a 7/4 of 1000-100/pi, a mere 0.659 cents flat of a just 7/4. Another way to extend LucyTuning is meanpop:<br /> | This tempers out the mothra commas of 81/80, 1029/1024, 99/98 and 385/384. While Charles Lucy himself does not seem to consider the possibility of extending LucyTuning, it should be noted that the mothra mapping above gives a 7/4 of 1000-100/pi, a mere 0.659 cents flat of a just 7/4. Another way to extend LucyTuning is meanpop:<br /> | ||
&lt;1200 1800+300/pi 2400+1200/pi 2400+3000/pi | &lt;1200 1800+300/pi 2400+1200/pi 2400+3000/pi 5400-3900/pi|<br /> | ||
Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective.<br /> | Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective.<br /> | ||
<br /> | <br /> | ||