Gallery of projective tuning space images: Difference between revisions

Revision as of 15:09, 28 February 2016

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author spt3125 and made on 2016-02-28 15:09:06 UTC.

The original revision id was 576079145.

The revision comment was: added explanation of numbers, rotation, lines etc

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[toc]]

In the following images, unless otherwise specified:
* numerals represent ETs (steps per '2')
* multiple appearances of the same number are different mappings
* rotation of the ET numbers indicates octave stretch of the TOP tuning of the ET (15 cents stretch = 90° clockwise rotation)
* lines are temperaments (where a single comma is tempered out)
* hexagons are contours of maximum Tenney-weighted damage of TOP tunings

=5-limit=

|| [[image:tn_pts-2-3-5-e2-amp-hand-annotated-gray.jpg link="file:pts-2-3-5-e2-amp-hand-annotated-gray.jpg]"]] || {2,3,5} PTS with handwritten annotations
from [[http://lumma.org/tuning/erlich/MiddlePath2015.pdf|A Middle Path]] ||

|| [[image:tn_pts-2-3-5-e2-twtop.jpg link="file:pts-2-3-5-e2-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150090296739367&set=gm.10150170038074482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-04)]]
projective tuning space based on {2,3,5}
numerals at ETs represent steps per '2'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||

|| [[image:tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg link="file:pts-2-3-5-e2-twtop-tlin-zo4.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152632247244367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)]]
zoomed waaaay out ||
|| [[image:tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg link="file:pts-2-3-5-e2-twtop-tlin-zo3.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152632247269367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)]]
zoomed-out still more ||
|| [[image:tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg link="file:pts-2-3-5-e2-twtop-tlin-zo2.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152632247314367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)]]
zoomed-out more ||
|| [[image:tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg link="file:pts-2-3-5-e2-twtop-tlin-zo1.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152632247409367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)]]
zoomed-out ||
|| [[image:tn_pts-2-3-5-e2-twtop-tlin.jpg link="file:pts-2-3-5-e2-twtop-tlin.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152310913269367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-04-10)]]
5-limit projective tuning space showing equal temperaments and good rank-two temperaments (or "temperament families"). Concentric hexagons indicate TOP damage (of TOP tuning) up to 10 in increments of 1. ||
|| [[image:tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg link="file:pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152640895264367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)]]
zoomed-in ||
|| [[image:tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg link="file:pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152640895159367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)]]
zoomed-in more ||
|| [[image:tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg link="file:pts-2-3-5-e2-twtop-tlin-zi3.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152640895094367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)]]
zoomed-in still more ||
|| [[image:tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg link="file:pts-2-3-5-e2-twtop-tlin-zi4.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152641282619367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)]]
zoomed way in ||
|| [[image:tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg link="file:pts-2-3-5-e2-twtop-tlin-zi5.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152641282779367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)]]
zoomed way way in ||

|| [[image:tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg link="file:pts-2-3-5-e2-breed-twtop-tlin-z0.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152643397394367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)]]
showing all three elements of each 5-limit breed
zoom level 0 ||
|| [[image:tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg link="file:pts-2-3-5-e2-breed-twtop-tlin-z1.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152643397459367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory  (2014-08-26)]]
showing all three elements of each 5-limit breed
zoom level 1 ||
|| [[image:tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg link="file:pts-2-3-5-e2-breed-twtop-tlin-z2.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152643397549367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory  (2014-08-26)]]
showing all three elements of each 5-limit breed
zoom level 2 ||
|| [[image:tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg link="file:pts-2-3-5-e2-breed-twtop-tlin-z3.jpg"]] ||[[@https://www.facebook.com/photo.php?fbid=10152643397614367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance  - Mathematical Theory (2014-08-26)]]
showing all three elements of each 5-limit breed
zoom level 3 ||
|| [[image:tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg link="file:pts-2-3-5-e2-breed-twtop-tlin-z4.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152643397709367&set=oa.389536071186621&type=1&permPage=1
|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)]]
showing all three elements of each 5-limit breed
zoom level 4 ||
|| [[image:tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg link="file:pts-2-3-5-e2-breed-twtop-tlin-z5.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152643397784367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)]]
showing all three elements of each 5-limit breed
zoom level 5 ||
|| [[image:tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg link="file:pts-2-3-5-e2-breed-twtop-tlin-z6.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152643397899367&set=oa.389536071186621&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)]]
showing all three elements of each 5-limit breed
zoom level 6 ||
|| [[image:tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg link="file:pts-2-3-5-e2-breed-twtop-tlin-z7.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10152643397989367&set=oa.389536071186621&type=1&permPage=1
|Paul Erlich > ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)]]
showing all three elements of each 5-limit breed
zoom level 7 ||

=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&set=gm.10150170038074482&type=1&permPage=1|Paul Erlich > ‎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&set=gm.10150170037959482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,3,7}
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&set=gm.10150170037959482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-06)]]
"projective tuning space" "based on" "{2,3,9}"
numerals at "ETs" represent steps per '2'
hexagons are "contours" of "maximum Tenney-weighted damage" of "TOP tunings"

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&set=gm.10150170037959482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,3,11}
numerals at ETs represent steps per '2'
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&set=gm.10150170038074482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-04)]]
projective tuning space based on {2,5,7}
numerals at ETs represent steps per '2'
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&set=gm.10150170037959482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,5,9}
numerals at ETs represent steps per '2'
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&set=gm.10150170037959482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,5,11}
numerals at ETs represent steps per '2'
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&set=gm.10150170037959482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,7,9}
numerals at ETs represent steps per '2'
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&set=gm.10150170037959482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,7,11}
numerals at ETs represent steps per '2'
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&set=gm.10150170037959482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-06)]]
projective tuning space based on {2,9,11}
numerals at ETs represent steps per '2'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||

=3.5.7, tritave (3-1) based=

|| [[image:tn_pts-3-5-7-e3-twtop.jpg link="file:pts-3-5-7-e3-twtop.jpg"]] || [[@https://www.facebook.com/photo.php?fbid=10150090296744367&set=gm.10150170038074482&type=1&permPage=1|Paul Erlich > ‎The Xenharmonic Alliance (2011-02-04)]]
projective tuning space based on {3,5,7}
numerals at ETs represent steps per '3'
hexagons are contours of maximum Tenney-weighted damage of TOP tunings ||

[[media type="custom" key="26495050"]]

Original HTML content:

<html><head><title>Gallery of projective tuning space images</title></head><body><!-- ws:start:WikiTextTocRule:7:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --><div style="margin-left: 1em;"><a href="#x5-limit">5-limit</a></div>
<!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><div style="margin-left: 1em;"><a href="#x11-limit subgroups">11-limit subgroups</a></div>
<!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --><div style="margin-left: 1em;"><a href="#x3.5.7, tritave (3-1) based">3.5.7, tritave (3-1) based</a></div>
<!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --></div>
<!-- ws:end:WikiTextTocRule:11 --><br />
In the following images, unless otherwise specified:<br />
<ul><li>numerals represent ETs (steps per '2')</li><li>multiple appearances of the same number are different mappings</li><li>rotation of the ET numbers indicates octave stretch of the TOP tuning of the ET (15 cents stretch = 90° clockwise rotation)</li><li>lines are temperaments (where a single comma is tempered out)</li><li>hexagons are contours of maximum Tenney-weighted damage of TOP tunings</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="x5-limit"></a><!-- ws:end:WikiTextHeadingRule:1 -->5-limit</h1>
<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:239:&lt;a href=&quot;/file/view/pts-2-3-5-e2-amp-hand-annotated-gray.jpg&quot;&gt;&lt;img src=&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&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-amp-hand-annotated-gray.jpg"><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" /></a><!-- ws:end:WikiTextLocalImageRule:239 --><br />
</td>
        <td>{2,3,5} PTS with handwritten annotations<br />
from <a class="wiki_link_ext" href="http://lumma.org/tuning/erlich/MiddlePath2015.pdf" rel="nofollow">A Middle Path</a><br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:241:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop.jpg/520338504/tn_pts-2-3-5-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop.jpg/520338504/tn_pts-2-3-5-e2-twtop.jpg" alt="tn_pts-2-3-5-e2-twtop.jpg" title="tn_pts-2-3-5-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:241 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150090296739367&amp;set=gm.10150170038074482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-04)</a><br />
projective tuning space based on {2,3,5}<br />
numerals at ETs represent steps per '2'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:243:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo4.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg/520338468/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin-zo4.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg/520338468/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:243 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247244367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)</a><br />
zoomed waaaay out<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:245:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo3.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg/520338452/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin-zo3.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg/520338452/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:245 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247269367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)</a><br />
zoomed-out still more<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:247:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo2.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg/520338442/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin-zo2.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg/520338442/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:247 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247314367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)</a><br />
zoomed-out more<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:249:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo1.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg/520338424/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin-zo1.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg/520338424/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:249 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247409367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-22)</a><br />
zoomed-out<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:251:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin.jpg/520338490/tn_pts-2-3-5-e2-twtop-tlin.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin.jpg/520338490/tn_pts-2-3-5-e2-twtop-tlin.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin.jpg" title="tn_pts-2-3-5-e2-twtop-tlin.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:251 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152310913269367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-04-10)</a><br />
5-limit projective tuning space showing equal temperaments and good rank-two temperaments (or &quot;temperament families&quot;). Concentric hexagons indicate TOP damage (of TOP tuning) up to 10 in increments of 1.<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:253:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg/520338370/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg/520338370/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:253 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152640895264367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)</a><br />
zoomed-in<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:255:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg/520338380/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg/520338380/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:255 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152640895159367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)</a><br />
zoomed-in more<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:257:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin-zi3.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg/520341482/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin-zi3.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg/520341482/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:257 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152640895094367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)</a><br />
zoomed-in still more<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:259:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin-zi4.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg/520341488/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin-zi4.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg/520341488/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:259 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152641282619367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)</a><br />
zoomed way in<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:261:&lt;a href=&quot;/file/view/pts-2-3-5-e2-twtop-tlin-zi5.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg/520341498/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-twtop-tlin-zi5.jpg"><img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg/520341498/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:261 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152641282779367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-25)</a><br />
zoomed way way in<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:263:&lt;a href=&quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z0.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg/520342320/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-breed-twtop-tlin-z0.jpg"><img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg/520342320/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:263 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397394367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)</a><br />
showing all three elements of each 5-limit breed<br />
zoom level 0<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:265:&lt;a href=&quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z1.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg/520338284/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-breed-twtop-tlin-z1.jpg"><img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg/520338284/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:265 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397459367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory  (2014-08-26)</a><br />
showing all three elements of each 5-limit breed<br />
zoom level 1<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:267:&lt;a href=&quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z2.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg/520338296/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-breed-twtop-tlin-z2.jpg"><img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg/520338296/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:267 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397549367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory  (2014-08-26)</a><br />
showing all three elements of each 5-limit breed<br />
zoom level 2<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:269:&lt;a href=&quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z3.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg/520338304/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-breed-twtop-tlin-z3.jpg"><img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg/520338304/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:269 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397614367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance  - Mathematical Theory (2014-08-26)</a><br />
showing all three elements of each 5-limit breed<br />
zoom level 3<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:271:&lt;a href=&quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z4.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg/520338322/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-breed-twtop-tlin-z4.jpg"><img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg/520338322/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:271 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397709367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)</a><br />
showing all three elements of each 5-limit breed<br />
zoom level 4<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:273:&lt;a href=&quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z5.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg/520338338/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-breed-twtop-tlin-z5.jpg"><img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg/520338338/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:273 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397784367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)</a><br />
showing all three elements of each 5-limit breed<br />
zoom level 5<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:275:&lt;a href=&quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z6.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg/520338350/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-breed-twtop-tlin-z6.jpg"><img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg/520338350/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:275 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397899367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)</a><br />
showing all three elements of each 5-limit breed<br />
zoom level 6<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:277:&lt;a href=&quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z7.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg/520338364/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-5-e2-breed-twtop-tlin-z7.jpg"><img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg/520338364/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:277 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397989367&amp;set=oa.389536071186621&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance - Mathematical Theory (2014-08-26)</a><br />
showing all three elements of each 5-limit breed<br />
zoom level 7<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="x11-limit subgroups"></a><!-- ws:end:WikiTextHeadingRule:3 -->11-limit subgroups</h1>
<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:279:&lt;a href=&quot;/file/view/pts-2-3-7-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-7-e2-twtop.jpg/520349152/tn_pts-2-3-7-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-7-e2-twtop.jpg"><img src="/file/view/tn_pts-2-3-7-e2-twtop.jpg/520349152/tn_pts-2-3-7-e2-twtop.jpg" alt="tn_pts-2-3-7-e2-twtop.jpg" title="tn_pts-2-3-7-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:279 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150090453304367&amp;set=gm.10150170038074482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-04)</a><br />
projective tuning space based on {2,3,7}<br />
numerals at ETs represent steps per '2'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:281:&lt;a href=&quot;/file/view/pts-2-3-7-e2-twtop-z0.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-7-e2-twtop-z0.jpg/520338520/tn_pts-2-3-7-e2-twtop-z0.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-7-e2-twtop-z0.jpg"><img src="/file/view/tn_pts-2-3-7-e2-twtop-z0.jpg/520338520/tn_pts-2-3-7-e2-twtop-z0.jpg" alt="tn_pts-2-3-7-e2-twtop-z0.jpg" title="tn_pts-2-3-7-e2-twtop-z0.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:281 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091440809367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)</a><br />
projective tuning space based on {2,3,7}<br />
zoomed way out!<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:283:&lt;a href=&quot;/file/view/pts-2-3-9-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-9-e2-twtop.jpg/520338534/tn_pts-2-3-9-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-9-e2-twtop.jpg"><img src="/file/view/tn_pts-2-3-9-e2-twtop.jpg/520338534/tn_pts-2-3-9-e2-twtop.jpg" alt="tn_pts-2-3-9-e2-twtop.jpg" title="tn_pts-2-3-9-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:283 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091485324367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)</a><br />
&quot;projective tuning space&quot; &quot;based on&quot; &quot;{2,3,9}&quot;<br />
numerals at &quot;ETs&quot; represent steps per '2'<br />
hexagons are &quot;contours&quot; of &quot;maximum Tenney-weighted damage&quot; of &quot;TOP tunings&quot;<br />
<br />
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!<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:285:&lt;a href=&quot;/file/view/pts-2-3-11-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-3-11-e2-twtop.jpg/520338558/tn_pts-2-3-11-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-3-11-e2-twtop.jpg"><img src="/file/view/tn_pts-2-3-11-e2-twtop.jpg/520338558/tn_pts-2-3-11-e2-twtop.jpg" alt="tn_pts-2-3-11-e2-twtop.jpg" title="tn_pts-2-3-11-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:285 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091496424367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)</a><br />
projective tuning space based on {2,3,11}<br />
numerals at ETs represent steps per '2'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:287:&lt;a href=&quot;/file/view/pts-2-5-7-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-5-7-e2-twtop.jpg/520338576/tn_pts-2-5-7-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-5-7-e2-twtop.jpg"><img src="/file/view/tn_pts-2-5-7-e2-twtop.jpg/520338576/tn_pts-2-5-7-e2-twtop.jpg" alt="tn_pts-2-5-7-e2-twtop.jpg" title="tn_pts-2-5-7-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:287 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150090453309367&amp;set=gm.10150170038074482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-04)</a><br />
projective tuning space based on {2,5,7}<br />
numerals at ETs represent steps per '2'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:289:&lt;a href=&quot;/file/view/pts-2-5-9-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-5-9-e2-twtop.jpg/520338594/tn_pts-2-5-9-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-5-9-e2-twtop.jpg"><img src="/file/view/tn_pts-2-5-9-e2-twtop.jpg/520338594/tn_pts-2-5-9-e2-twtop.jpg" alt="tn_pts-2-5-9-e2-twtop.jpg" title="tn_pts-2-5-9-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:289 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091482029367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)</a><br />
projective tuning space based on {2,5,9}<br />
numerals at ETs represent steps per '2'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:291:&lt;a href=&quot;/file/view/pts-2-5-11-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-5-11-e2-twtop.jpg/520338602/tn_pts-2-5-11-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-5-11-e2-twtop.jpg"><img src="/file/view/tn_pts-2-5-11-e2-twtop.jpg/520338602/tn_pts-2-5-11-e2-twtop.jpg" alt="tn_pts-2-5-11-e2-twtop.jpg" title="tn_pts-2-5-11-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:291 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091500519367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)</a><br />
projective tuning space based on {2,5,11}<br />
numerals at ETs represent steps per '2'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:293:&lt;a href=&quot;/file/view/pts-2-7-9-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-7-9-e2-twtop.jpg/520338622/tn_pts-2-7-9-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-7-9-e2-twtop.jpg"><img src="/file/view/tn_pts-2-7-9-e2-twtop.jpg/520338622/tn_pts-2-7-9-e2-twtop.jpg" alt="tn_pts-2-7-9-e2-twtop.jpg" title="tn_pts-2-7-9-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:293 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091540804367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)</a><br />
projective tuning space based on {2,7,9}<br />
numerals at ETs represent steps per '2'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:295:&lt;a href=&quot;/file/view/pts-2-7-11-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-7-11-e2-twtop.jpg/520338634/tn_pts-2-7-11-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-7-11-e2-twtop.jpg"><img src="/file/view/tn_pts-2-7-11-e2-twtop.jpg/520338634/tn_pts-2-7-11-e2-twtop.jpg" alt="tn_pts-2-7-11-e2-twtop.jpg" title="tn_pts-2-7-11-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:295 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091506389367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)</a><br />
projective tuning space based on {2,7,11}<br />
numerals at ETs represent steps per '2'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:297:&lt;a href=&quot;/file/view/pts-2-9-11-e2-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-2-9-11-e2-twtop.jpg/520338644/tn_pts-2-9-11-e2-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-2-9-11-e2-twtop.jpg"><img src="/file/view/tn_pts-2-9-11-e2-twtop.jpg/520338644/tn_pts-2-9-11-e2-twtop.jpg" alt="tn_pts-2-9-11-e2-twtop.jpg" title="tn_pts-2-9-11-e2-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:297 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091508499367&amp;set=gm.10150170037959482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-06)</a><br />
projective tuning space based on {2,9,11}<br />
numerals at ETs represent steps per '2'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="x3.5.7, tritave (3-1) based"></a><!-- ws:end:WikiTextHeadingRule:5 -->3.5.7, tritave (3-1) based</h1>
<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextLocalImageRule:299:&lt;a href=&quot;/file/view/pts-3-5-7-e3-twtop.jpg&quot;&gt;&lt;img src=&quot;/file/view/tn_pts-3-5-7-e3-twtop.jpg/520338662/tn_pts-3-5-7-e3-twtop.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/a&gt; --><a href="/file/view/pts-3-5-7-e3-twtop.jpg"><img src="/file/view/tn_pts-3-5-7-e3-twtop.jpg/520338662/tn_pts-3-5-7-e3-twtop.jpg" alt="tn_pts-3-5-7-e3-twtop.jpg" title="tn_pts-3-5-7-e3-twtop.jpg" /></a><!-- ws:end:WikiTextLocalImageRule:299 --><br />
</td>
        <td><a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150090296744367&amp;set=gm.10150170038074482&amp;type=1&amp;permPage=1" rel="nofollow" target="_blank">Paul Erlich &gt; ‎The Xenharmonic Alliance (2011-02-04)</a><br />
projective tuning space based on {3,5,7}<br />
numerals at ETs represent steps per '3'<br />
hexagons are contours of maximum Tenney-weighted damage of TOP tunings<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/26495050?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;26495050&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript">
/*<![CDATA[*/
document.write('<style type="text/css"> .wiki_table td { padding: 3px; } <\/style>');
/*]]>*/
</script><!-- ws:end:WikiTextMediaRule:0 --></body></html>

@@ 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:clumma|clumma]] and made on <tt>2015-12-29 13:49:29 UTC</tt>.<br>
+: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2016-02-28 15:09:06 UTC</tt>.<br>
-: The original revision id was <tt>570874883</tt>.<br>
+: The original revision id was <tt>576079145</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>added explanation of numbers, rotation, lines etc</tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext content:</h4>
 <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]]
+In the following images, unless otherwise specified:
+* numerals represent ETs (steps per '2')
+* multiple appearances of the same number are different mappings
+* rotation of the ET numbers indicates octave stretch of the TOP tuning of the ET (15 cents stretch = 90° clockwise rotation)
+* lines are temperaments (where a single comma is tempered out)
+* hexagons are contours of maximum Tenney-weighted damage of TOP tunings
 =5-limit=
@@ Line 131: / Line 139: @@
 &lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#x3.5.7, tritave (3-1) based"&gt;3.5.7, tritave (3-1) based&lt;/a&gt;&lt;/div&gt;
 &lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x5-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;5-limit&lt;/h1&gt;
+&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;br /&gt;
+In the following images, unless otherwise specified:&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;numerals represent ETs (steps per '2')&lt;/li&gt;&lt;li&gt;multiple appearances of the same number are different mappings&lt;/li&gt;&lt;li&gt;rotation of the ET numbers indicates octave stretch of the TOP tuning of the ET (15 cents stretch = 90° clockwise rotation)&lt;/li&gt;&lt;li&gt;lines are temperaments (where a single comma is tempered out)&lt;/li&gt;&lt;li&gt;hexagons are contours of maximum Tenney-weighted damage of TOP tunings&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x5-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;5-limit&lt;/h1&gt;
 &lt;br /&gt;
@@ Line 137: / Line 148: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &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;!-- ws:start:WikiTextLocalImageRule:239:&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:239 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;{2,3,5} PTS with handwritten annotations&lt;br /&gt;
@@ Line 150: / Line 161: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:229:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop.jpg/520338504/tn_pts-2-3-5-e2-twtop.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-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop.jpg/520338504/tn_pts-2-3-5-e2-twtop.jpg" alt="tn_pts-2-3-5-e2-twtop.jpg" title="tn_pts-2-3-5-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:229 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:241:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop.jpg/520338504/tn_pts-2-3-5-e2-twtop.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-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop.jpg/520338504/tn_pts-2-3-5-e2-twtop.jpg" alt="tn_pts-2-3-5-e2-twtop.jpg" title="tn_pts-2-3-5-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:241 --&gt;&lt;br /&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;
@@ Line 165: / Line 176: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:231:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo4.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg/520338468/tn_pts-2-3-5-e2-twtop-tlin-zo4.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-twtop-tlin-zo4.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg/520338468/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:231 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:243:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo4.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg/520338468/tn_pts-2-3-5-e2-twtop-tlin-zo4.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-twtop-tlin-zo4.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg/520338468/tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo4.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:243 --&gt;&lt;br /&gt;
 &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;
@@ Line 172: / Line 183: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:233:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo3.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg/520338452/tn_pts-2-3-5-e2-twtop-tlin-zo3.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-twtop-tlin-zo3.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg/520338452/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:233 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:245:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo3.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg/520338452/tn_pts-2-3-5-e2-twtop-tlin-zo3.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-twtop-tlin-zo3.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg/520338452/tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo3.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:245 --&gt;&lt;br /&gt;
 &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;
@@ Line 179: / Line 190: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:235:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo2.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg/520338442/tn_pts-2-3-5-e2-twtop-tlin-zo2.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-twtop-tlin-zo2.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg/520338442/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:235 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:247:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo2.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg/520338442/tn_pts-2-3-5-e2-twtop-tlin-zo2.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-twtop-tlin-zo2.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg/520338442/tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo2.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:247 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247314367&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;
@@ Line 186: / Line 197: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:237:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo1.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg/520338424/tn_pts-2-3-5-e2-twtop-tlin-zo1.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-twtop-tlin-zo1.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg/520338424/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:237 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:249:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zo1.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg/520338424/tn_pts-2-3-5-e2-twtop-tlin-zo1.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-twtop-tlin-zo1.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg/520338424/tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zo1.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:249 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152632247409367&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;
@@ Line 193: / Line 204: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:239:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin.jpg/520338490/tn_pts-2-3-5-e2-twtop-tlin.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-twtop-tlin.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin.jpg/520338490/tn_pts-2-3-5-e2-twtop-tlin.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin.jpg" title="tn_pts-2-3-5-e2-twtop-tlin.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:239 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:251:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin.jpg/520338490/tn_pts-2-3-5-e2-twtop-tlin.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-twtop-tlin.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin.jpg/520338490/tn_pts-2-3-5-e2-twtop-tlin.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin.jpg" title="tn_pts-2-3-5-e2-twtop-tlin.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:251 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152310913269367&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 (2014-04-10)&lt;/a&gt;&lt;br /&gt;
@@ Line 200: / Line 211: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:241:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg/520338370/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.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-twtop-tlin-graybg-zi1.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg/520338370/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:241 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:253:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg/520338370/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.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-twtop-tlin-graybg-zi1.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg/520338370/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi1.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:253 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152640895264367&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;
@@ Line 207: / Line 218: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:243:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg/520338380/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.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-twtop-tlin-graybg-zi2.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg/520338380/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:243 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:255:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg/520338380/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.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-twtop-tlin-graybg-zi2.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg/520338380/tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-graybg-zi2.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:255 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152640895159367&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;
@@ Line 214: / Line 225: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:245:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zi3.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg/520341482/tn_pts-2-3-5-e2-twtop-tlin-zi3.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-twtop-tlin-zi3.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg/520341482/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:245 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:257:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zi3.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg/520341482/tn_pts-2-3-5-e2-twtop-tlin-zi3.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-twtop-tlin-zi3.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg/520341482/tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zi3.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:257 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152640895094367&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;
@@ Line 221: / Line 232: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:247:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zi4.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg/520341488/tn_pts-2-3-5-e2-twtop-tlin-zi4.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-twtop-tlin-zi4.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg/520341488/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:247 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:259:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zi4.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg/520341488/tn_pts-2-3-5-e2-twtop-tlin-zi4.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-twtop-tlin-zi4.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg/520341488/tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zi4.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:259 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152641282619367&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;
@@ Line 228: / Line 239: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:249:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zi5.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg/520341498/tn_pts-2-3-5-e2-twtop-tlin-zi5.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-twtop-tlin-zi5.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg/520341498/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:249 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:261:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-twtop-tlin-zi5.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg/520341498/tn_pts-2-3-5-e2-twtop-tlin-zi5.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-twtop-tlin-zi5.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg/520341498/tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg" alt="tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg" title="tn_pts-2-3-5-e2-twtop-tlin-zi5.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:261 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;
@@ Line 241: / Line 252: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:251:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z0.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg/520342320/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.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-breed-twtop-tlin-z0.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg/520342320/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:251 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:263:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z0.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg/520342320/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.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-breed-twtop-tlin-z0.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg/520342320/tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z0.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:263 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397394367&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;
@@ Line 249: / Line 260: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:253:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z1.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg/520338284/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.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-breed-twtop-tlin-z1.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg/520338284/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:253 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:265:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z1.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg/520338284/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.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-breed-twtop-tlin-z1.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg/520338284/tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z1.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:265 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397459367&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;
@@ Line 257: / Line 268: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:255:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z2.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg/520338296/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.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-breed-twtop-tlin-z2.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg/520338296/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:255 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:267:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z2.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg/520338296/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.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-breed-twtop-tlin-z2.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg/520338296/tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z2.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:267 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397549367&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;
@@ Line 265: / Line 276: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:257:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z3.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg/520338304/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.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-breed-twtop-tlin-z3.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg/520338304/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:257 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:269:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z3.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg/520338304/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.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-breed-twtop-tlin-z3.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg/520338304/tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z3.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:269 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;
@@ Line 273: / Line 284: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:259:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z4.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg/520338322/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.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-breed-twtop-tlin-z4.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg/520338322/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:259 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:271:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z4.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg/520338322/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.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-breed-twtop-tlin-z4.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg/520338322/tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z4.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:271 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10152643397709367&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;
@@ Line 281: / Line 292: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:261:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z5.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg/520338338/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.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-breed-twtop-tlin-z5.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg/520338338/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:261 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:273:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z5.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg/520338338/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.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-breed-twtop-tlin-z5.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg/520338338/tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z5.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:273 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;
@@ Line 289: / Line 300: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:263:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z6.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg/520338350/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.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-breed-twtop-tlin-z6.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg/520338350/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:263 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:275:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z6.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg/520338350/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.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-breed-twtop-tlin-z6.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg/520338350/tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z6.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:275 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;
@@ Line 297: / Line 308: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:265:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z7.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg/520338364/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.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-breed-twtop-tlin-z7.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg/520338364/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:265 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:277:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-5-e2-breed-twtop-tlin-z7.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg/520338364/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.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-breed-twtop-tlin-z7.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg/520338364/tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg" alt="tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg" title="tn_pts-2-3-5-e2-breed-twtop-tlin-z7.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:277 --&gt;&lt;br /&gt;
 &lt;/td&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;
@@ Line 313: / Line 324: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:267:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-7-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-7-e2-twtop.jpg/520349152/tn_pts-2-3-7-e2-twtop.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-2-3-7-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-7-e2-twtop.jpg/520349152/tn_pts-2-3-7-e2-twtop.jpg" alt="tn_pts-2-3-7-e2-twtop.jpg" title="tn_pts-2-3-7-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:267 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:279:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-7-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-7-e2-twtop.jpg/520349152/tn_pts-2-3-7-e2-twtop.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-2-3-7-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-7-e2-twtop.jpg/520349152/tn_pts-2-3-7-e2-twtop.jpg" alt="tn_pts-2-3-7-e2-twtop.jpg" title="tn_pts-2-3-7-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:279 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;
@@ Line 322: / Line 333: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:269:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-7-e2-twtop-z0.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-7-e2-twtop-z0.jpg/520338520/tn_pts-2-3-7-e2-twtop-z0.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-2-3-7-e2-twtop-z0.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-7-e2-twtop-z0.jpg/520338520/tn_pts-2-3-7-e2-twtop-z0.jpg" alt="tn_pts-2-3-7-e2-twtop-z0.jpg" title="tn_pts-2-3-7-e2-twtop-z0.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:269 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:281:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-7-e2-twtop-z0.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-7-e2-twtop-z0.jpg/520338520/tn_pts-2-3-7-e2-twtop-z0.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-2-3-7-e2-twtop-z0.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-7-e2-twtop-z0.jpg/520338520/tn_pts-2-3-7-e2-twtop-z0.jpg" alt="tn_pts-2-3-7-e2-twtop-z0.jpg" title="tn_pts-2-3-7-e2-twtop-z0.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:281 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;
@@ Line 336: / Line 347: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:271:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-9-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-9-e2-twtop.jpg/520338534/tn_pts-2-3-9-e2-twtop.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-2-3-9-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-9-e2-twtop.jpg/520338534/tn_pts-2-3-9-e2-twtop.jpg" alt="tn_pts-2-3-9-e2-twtop.jpg" title="tn_pts-2-3-9-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:271 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:283:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-9-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-9-e2-twtop.jpg/520338534/tn_pts-2-3-9-e2-twtop.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-2-3-9-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-9-e2-twtop.jpg/520338534/tn_pts-2-3-9-e2-twtop.jpg" alt="tn_pts-2-3-9-e2-twtop.jpg" title="tn_pts-2-3-9-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:283 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091485324367&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;
@@ Line 353: / Line 364: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:273:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-11-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-11-e2-twtop.jpg/520338558/tn_pts-2-3-11-e2-twtop.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-2-3-11-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-11-e2-twtop.jpg/520338558/tn_pts-2-3-11-e2-twtop.jpg" alt="tn_pts-2-3-11-e2-twtop.jpg" title="tn_pts-2-3-11-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:273 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:285:&amp;lt;a href=&amp;quot;/file/view/pts-2-3-11-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-3-11-e2-twtop.jpg/520338558/tn_pts-2-3-11-e2-twtop.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-2-3-11-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-3-11-e2-twtop.jpg/520338558/tn_pts-2-3-11-e2-twtop.jpg" alt="tn_pts-2-3-11-e2-twtop.jpg" title="tn_pts-2-3-11-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:285 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;
@@ Line 368: / Line 379: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:275:&amp;lt;a href=&amp;quot;/file/view/pts-2-5-7-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-5-7-e2-twtop.jpg/520338576/tn_pts-2-5-7-e2-twtop.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-2-5-7-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-5-7-e2-twtop.jpg/520338576/tn_pts-2-5-7-e2-twtop.jpg" alt="tn_pts-2-5-7-e2-twtop.jpg" title="tn_pts-2-5-7-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:275 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:287:&amp;lt;a href=&amp;quot;/file/view/pts-2-5-7-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-5-7-e2-twtop.jpg/520338576/tn_pts-2-5-7-e2-twtop.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-2-5-7-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-5-7-e2-twtop.jpg/520338576/tn_pts-2-5-7-e2-twtop.jpg" alt="tn_pts-2-5-7-e2-twtop.jpg" title="tn_pts-2-5-7-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:287 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;
@@ Line 383: / Line 394: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:277:&amp;lt;a href=&amp;quot;/file/view/pts-2-5-9-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-5-9-e2-twtop.jpg/520338594/tn_pts-2-5-9-e2-twtop.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-2-5-9-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-5-9-e2-twtop.jpg/520338594/tn_pts-2-5-9-e2-twtop.jpg" alt="tn_pts-2-5-9-e2-twtop.jpg" title="tn_pts-2-5-9-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:277 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:289:&amp;lt;a href=&amp;quot;/file/view/pts-2-5-9-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-5-9-e2-twtop.jpg/520338594/tn_pts-2-5-9-e2-twtop.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-2-5-9-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-5-9-e2-twtop.jpg/520338594/tn_pts-2-5-9-e2-twtop.jpg" alt="tn_pts-2-5-9-e2-twtop.jpg" title="tn_pts-2-5-9-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:289 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;
@@ Line 398: / Line 409: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:279:&amp;lt;a href=&amp;quot;/file/view/pts-2-5-11-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-5-11-e2-twtop.jpg/520338602/tn_pts-2-5-11-e2-twtop.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-2-5-11-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-5-11-e2-twtop.jpg/520338602/tn_pts-2-5-11-e2-twtop.jpg" alt="tn_pts-2-5-11-e2-twtop.jpg" title="tn_pts-2-5-11-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:279 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:291:&amp;lt;a href=&amp;quot;/file/view/pts-2-5-11-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-5-11-e2-twtop.jpg/520338602/tn_pts-2-5-11-e2-twtop.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-2-5-11-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-5-11-e2-twtop.jpg/520338602/tn_pts-2-5-11-e2-twtop.jpg" alt="tn_pts-2-5-11-e2-twtop.jpg" title="tn_pts-2-5-11-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:291 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091500519367&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;
@@ Line 413: / Line 424: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:281:&amp;lt;a href=&amp;quot;/file/view/pts-2-7-9-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-7-9-e2-twtop.jpg/520338622/tn_pts-2-7-9-e2-twtop.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-2-7-9-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-7-9-e2-twtop.jpg/520338622/tn_pts-2-7-9-e2-twtop.jpg" alt="tn_pts-2-7-9-e2-twtop.jpg" title="tn_pts-2-7-9-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:281 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:293:&amp;lt;a href=&amp;quot;/file/view/pts-2-7-9-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-7-9-e2-twtop.jpg/520338622/tn_pts-2-7-9-e2-twtop.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-2-7-9-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-7-9-e2-twtop.jpg/520338622/tn_pts-2-7-9-e2-twtop.jpg" alt="tn_pts-2-7-9-e2-twtop.jpg" title="tn_pts-2-7-9-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:293 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091540804367&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;
@@ Line 428: / Line 439: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:283:&amp;lt;a href=&amp;quot;/file/view/pts-2-7-11-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-7-11-e2-twtop.jpg/520338634/tn_pts-2-7-11-e2-twtop.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-2-7-11-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-7-11-e2-twtop.jpg/520338634/tn_pts-2-7-11-e2-twtop.jpg" alt="tn_pts-2-7-11-e2-twtop.jpg" title="tn_pts-2-7-11-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:283 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:295:&amp;lt;a href=&amp;quot;/file/view/pts-2-7-11-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-7-11-e2-twtop.jpg/520338634/tn_pts-2-7-11-e2-twtop.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-2-7-11-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-7-11-e2-twtop.jpg/520338634/tn_pts-2-7-11-e2-twtop.jpg" alt="tn_pts-2-7-11-e2-twtop.jpg" title="tn_pts-2-7-11-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:295 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091506389367&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;
@@ Line 443: / Line 454: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:285:&amp;lt;a href=&amp;quot;/file/view/pts-2-9-11-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-9-11-e2-twtop.jpg/520338644/tn_pts-2-9-11-e2-twtop.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-2-9-11-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-9-11-e2-twtop.jpg/520338644/tn_pts-2-9-11-e2-twtop.jpg" alt="tn_pts-2-9-11-e2-twtop.jpg" title="tn_pts-2-9-11-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:285 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:297:&amp;lt;a href=&amp;quot;/file/view/pts-2-9-11-e2-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-2-9-11-e2-twtop.jpg/520338644/tn_pts-2-9-11-e2-twtop.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-2-9-11-e2-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-2-9-11-e2-twtop.jpg/520338644/tn_pts-2-9-11-e2-twtop.jpg" alt="tn_pts-2-9-11-e2-twtop.jpg" title="tn_pts-2-9-11-e2-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:297 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link_ext" href="https://www.facebook.com/photo.php?fbid=10150091508499367&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;
@@ Line 460: / Line 471: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:287:&amp;lt;a href=&amp;quot;/file/view/pts-3-5-7-e3-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-3-5-7-e3-twtop.jpg/520338662/tn_pts-3-5-7-e3-twtop.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-3-5-7-e3-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-3-5-7-e3-twtop.jpg/520338662/tn_pts-3-5-7-e3-twtop.jpg" alt="tn_pts-3-5-7-e3-twtop.jpg" title="tn_pts-3-5-7-e3-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:287 --&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;!-- ws:start:WikiTextLocalImageRule:299:&amp;lt;a href=&amp;quot;/file/view/pts-3-5-7-e3-twtop.jpg&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tn_pts-3-5-7-e3-twtop.jpg/520338662/tn_pts-3-5-7-e3-twtop.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-3-5-7-e3-twtop.jpg"&gt;&lt;img src="/file/view/tn_pts-3-5-7-e3-twtop.jpg/520338662/tn_pts-3-5-7-e3-twtop.jpg" alt="tn_pts-3-5-7-e3-twtop.jpg" title="tn_pts-3-5-7-e3-twtop.jpg" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextLocalImageRule:299 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &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;

Gallery of projective tuning space images: Difference between revisions

Revision as of 15:09, 28 February 2016

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search