Lucy tuning: 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:

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-19 15:43:44 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-19 15:53:27 UTC</tt>.

: The original revision id was <tt>~~237580035~~</tt>.

: The original revision id was <tt>237581143</tt>.

: The revision comment was: <tt></tt>

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A reasonable mapping for [[11-limit]] extended LucyTuning would be

<1200 1800+300/pi 2400+1200/pi 3400-100/pi 400 (11 pi - 2)/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.

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 300 (18 pi - 13)/pi|

Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective.

[[http://www.lucytune.com|Link to Lucy Tuning website]]

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A reasonable mapping for <a class="wiki_link" href="/11-limit">11-limit</a> extended LucyTuning would be

&lt;1200 1800+300/pi 2400+1200/pi 3400-100/pi 400 (11 pi - 2)/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.

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:

&lt;1200 1800+300/pi 2400+1200/pi 2400+3000/pi 300 (18 pi - 13)/pi|

Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective.

<a class="wiki_link_ext" href="http://www.lucytune.com" rel="nofollow">Link to Lucy Tuning website</a>

@@ 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:genewardsmith|genewardsmith]] and made on <tt>2011-06-19 15:43:44 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-19 15:53:27 UTC</tt>.<br>
-: The original revision id was <tt>237580035</tt>.<br>
+: The original revision id was <tt>237581143</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 10: / Line 10: @@
 A reasonable mapping for [[11-limit]] extended LucyTuning would be
 &lt;1200 1800+300/pi 2400+1200/pi 3400-100/pi 400 (11 pi - 2)/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.
+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:
+&lt;1200 1800+300/pi 2400+1200/pi 2400+3000/pi 300 (18 pi - 13)/pi|
+Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective.
 [[http://www.lucytune.com|Link to Lucy Tuning website]]
@@ Line 21: / Line 23: @@
 A reasonable mapping for &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; extended LucyTuning would be&lt;br /&gt;
 &amp;lt;1200 1800+300/pi 2400+1200/pi 3400-100/pi 400 (11 pi - 2)/pi|&lt;br /&gt;
-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.&lt;br /&gt;
+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:&lt;br /&gt;
+&amp;lt;1200 1800+300/pi 2400+1200/pi 2400+3000/pi 300 (18 pi - 13)/pi|&lt;br /&gt;
+Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective.&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://www.lucytune.com" rel="nofollow"&gt;Link to Lucy Tuning website&lt;/a&gt;&lt;br /&gt;