Xenharmonic Wiki

Gallery of projective tuning space images: Difference between revisions

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VisualWikitext
Wikispaces>spt3125
**Imported revision 520347958 - Original comment: **
Wikispaces>spt3125
**Imported revision 520349878 - 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:spt3125|spt3125]] and made on <tt>2014-09-01 11:55:52 UTC</tt>.<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-09-01 12:16:32 UTC</tt>.<br>
: The original revision id was <tt>520347958</tt>.<br>
: The original revision id was <tt>520349878</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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=11-limit subgroups=
=11-limit subgroups=


|| [[image:tn_pts-2-3-7-e2-twtop.jpg link="file:pts-2-3-7-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150090453304367&amp;set=gm.10150170038074482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-04)]]
projective tuning space based on {2,3,7}
numerals at ETs represent steps per '2'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings  ||
|| [[image:tn_pts-2-3-7-e2-twtop-z0.jpg link="file:pts-2-3-7-e2-twtop-z0.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091440809367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
|| [[image:tn_pts-2-3-7-e2-twtop-z0.jpg link="file:pts-2-3-7-e2-twtop-z0.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091440809367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,3,7}
projective tuning space based on {2,3,7}
zoomed way out!  ||
zoomed way out!  ||
|| [[image:tn_pts-2-3-9-e2-twtop.jpg link="file:pts-2-3-9-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091485324367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
|| [[image:tn_pts-2-3-9-e2-twtop.jpg link="file:pts-2-3-9-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091485324367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
"projective tuning space" "based on" "{2,3,9}"
"projective tuning space" "based on" "{2,3,9}"
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this one is not like the others! 9/3 is considered a different interval than 3, with complexity log(27) rather than log(3), and susceptibility to damage 1/log(27) instead of 1/log(3) -- whatever that means!  ||
this one is not like the others! 9/3 is considered a different interval than 3, with complexity log(27) rather than log(3), and susceptibility to damage 1/log(27) instead of 1/log(3) -- whatever that means!  ||
|| [[image:tn_pts-2-3-11-e2-twtop.jpg link="file:pts-2-3-11-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091496424367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
|| [[image:tn_pts-2-3-11-e2-twtop.jpg link="file:pts-2-3-11-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091496424367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,3,11}
projective tuning space based on {2,3,11}
numerals at ETs represent steps per '2'
numerals at ETs represent steps per '2'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
|| [[image:tn_pts-2-5-7-e2-twtop.jpg link="file:pts-2-5-7-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150090453309367&amp;set=gm.10150170038074482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-04)]]
|| [[image:tn_pts-2-5-7-e2-twtop.jpg link="file:pts-2-5-7-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150090453309367&amp;set=gm.10150170038074482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-04)]]
projective tuning space based on {2,5,7}
projective tuning space based on {2,5,7}
numerals at ETs represent steps per '2'
numerals at ETs represent steps per '2'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings  ||
hexagons are contours of maximum Tenney-weighted damage of TOP tunings  ||
|| [[image:tn_pts-2-5-9-e2-twtop.jpg link="file:pts-2-5-9-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091482029367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
|| [[image:tn_pts-2-5-9-e2-twtop.jpg link="file:pts-2-5-9-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091482029367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,5,9}
projective tuning space based on {2,5,9}
numerals at ETs represent steps per '2'
numerals at ETs represent steps per '2'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
|| [[image:tn_pts-2-5-11-e2-twtop.jpg link="file:pts-2-5-11-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091500519367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
|| [[image:tn_pts-2-5-11-e2-twtop.jpg link="file:pts-2-5-11-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091500519367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,5,11}
projective tuning space based on {2,5,11}
numerals at ETs represent steps per '2'
numerals at ETs represent steps per '2'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
|| [[image:tn_pts-2-7-9-e2-twtop.jpg link="file:pts-2-7-9-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091540804367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
|| [[image:tn_pts-2-7-9-e2-twtop.jpg link="file:pts-2-7-9-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091540804367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,7,9}
projective tuning space based on {2,7,9}
numerals at ETs represent steps per '2'
numerals at ETs represent steps per '2'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
|| [[image:tn_pts-2-7-11-e2-twtop.jpg link="file:pts-2-7-11-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091506389367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
|| [[image:tn_pts-2-7-11-e2-twtop.jpg link="file:pts-2-7-11-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091506389367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,7,11}
projective tuning space based on {2,7,11}
numerals at ETs represent steps per '2'
numerals at ETs represent steps per '2'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||
|| [[image:tn_pts-2-9-11-e2-twtop.jpg link="file:pts-2-9-11-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091508499367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
|| [[image:tn_pts-2-9-11-e2-twtop.jpg link="file:pts-2-9-11-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150091508499367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1|Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,9,11}
projective tuning space based on {2,9,11}
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
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     &lt;tr&gt;
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         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:227:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-amp-hand-annotated-gray.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-amp-hand-annotated-gray.jpg/520336302/tn_pts-2-3-5-e2-amp-hand-annotated-gray.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt;&amp;lt;/a&amp;gt; --&gt;&lt;a href="/file/view/pts-2-3-5-e2-amp-hand-annotated-gray.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-amp-hand-annotated-gray.jpg/520336302/tn_pts-2-3-5-e2-amp-hand-annotated-gray.jpg" alt="tn_pts-2-3-5-e2-amp-hand-annotated-gray.jpg" title="tn_pts-2-3-5-e2-amp-hand-annotated-gray.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:227 --&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;{2,3,5} PTS with handwritten annotations&lt;br /&gt;
         &lt;td&gt;{2,3,5} PTS with handwritten annotations&lt;br /&gt;
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150090296739367&amp;amp;set=gm.10150170038074482&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance (2011-02-04)&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150090296739367&amp;amp;set=gm.10150170038074482&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance (2011-02-04)&lt;/a&gt;&lt;br /&gt;
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
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&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247244367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247244367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247269367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247269367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152641282779367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397614367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance  - Mathematical Theory (2014-08-26)&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397784367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397899367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397989367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397989367&amp;amp;set=oa.389536071186621&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)&lt;/a&gt;&lt;br /&gt;
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        &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150090453304367&amp;amp;set=gm.10150170038074482&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance (2011-02-04)&lt;/a&gt;&lt;br /&gt;
projective tuning space based on {2,3,7}&lt;br /&gt;
numerals at ETs represent steps per '2'&lt;br /&gt;
hexagons are contours of maximum Tenney-weighted damage of TOP tunings&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091440809367&amp;amp;set=gm.10150170037959482&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance (2011-02-06)&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091496424367&amp;amp;set=gm.10150170037959482&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance (2011-02-06)&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150090453309367&amp;amp;set=gm.10150170038074482&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance (2011-02-04)&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091482029367&amp;amp;set=gm.10150170037959482&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance (2011-02-06)&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150090296744367&amp;amp;set=gm.10150170038074482&amp;amp;type=1&amp;amp;permPage=1" rel="nofollow" target="_blank"&gt;Paul Erlich &amp;gt; ‎The Xenharmonic Alliance (2011-02-04)&lt;/a&gt;&lt;br /&gt;
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