Chords of magic: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>~~2011~~-12-~~22 23~~:42:31 UTC</tt>.<br>

: This revision was by author [[User:x31eq|x31eq]] and made on <tt>2014-08-17 05:03:57 UTC</tt>.<br>

: The original revision id was <tt>~~288251266~~</tt>.<br>

: The original revision id was <tt>518731298</tt>.<br>

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

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

Line 8:

<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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.

Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic~~+, the nonce name Graham Breed's [[http://x31eq.com/temper/|Temperament Finder]] gives to it~~. Finally, anything requiring three independent commas among those discussed above is labeled magic.

Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.

Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.

=Triads=

|| Number || Chord || Transversal || Type ||

|| 1 || 0-1-2 || 1-5/4-14/9 || marvel ||

Line 73:

|| 58 || 0-18-20 || 1-18/11-14/11 || otonal ||

=Tetrads=

|| Number || Chord || Transversal || Type ||

|| 1 || 0-1-2-9 || 1-5/4-14/9-9/5 || magic ||

Line 81:

|| 5 || 0-2-7-9 || 1-14/9-7/6-9/5 || sensamagic ||

|| 6 || 0-5-7-9 || 1-3/2-7/6-9/5 || sensamagic ||

|| 7 || 0-1-8-9 || 1-5/4-16/11-9/5 || supermagic+ ||

|| 7 || 0-1-8-9 || 1-5/4-16/11-9/5 || supermagic ||

|| 8 || 0-4-8-9 || 1-6/5-16/11-9/5 || ptolemismic ||

|| 9 || 0-7-8-9 || 1-7/6-16/11-9/5 || magic ||

Line 108:

|| 32 || 0-5-7-12 || 1-3/2-7/6-7/4 || ambitonal ||

|| 33 || 0-1-8-12 || 1-5/4-16/11-7/4 || keenanismic ||

|| 34 || 0-4-8-12 || 1-6/5-16/11-7/4 || supermagic+ ||

|| 34 || 0-4-8-12 || 1-6/5-16/11-7/4 || supermagic ||

|| 35 || 0-7-8-12 || 1-7/6-16/11-7/4 || keenanismic ||

|| 36 || 0-1-10-12 || 1-5/4-9/8-7/4 || otonal ||

Line 125:

|| 49 || 0-1-8-13 || 1-5/4-16/11-12/11 || keenanismic ||

|| 50 || 0-4-8-13 || 1-6/5-16/11-12/11 || ptolemismic ||

|| 51 || 0-1-9-13 || 1-5/4-9/5-12/11 || supermagic+ ||

|| 51 || 0-1-9-13 || 1-5/4-9/5-12/11 || supermagic ||

|| 52 || 0-2-9-13 || 1-14/9-9/5-12/11 || octarod ||

|| 53 || 0-4-9-13 || 1-6/5-9/5-12/11 || ptolemismic ||

Line 136:

|| 60 || 0-1-12-13 || 1-5/4-7/4-12/11 || keenanismic ||

|| 61 || 0-2-12-13 || 1-14/9-7/4-12/11 || unimarvel ||

|| 62 || 0-4-12-13 || 1-6/5-7/4-12/11 || supermagic+ ||

|| 62 || 0-4-12-13 || 1-6/5-7/4-12/11 || supermagic ||

|| 63 || 0-5-12-13 || 1-3/2-7/4-12/11 || keenanismic ||

|| 64 || 0-8-12-13 || 1-16/11-7/4-12/11 || keenanismic ||

Line 184:

|| 108 || 0-13-18-20 || 1-12/11-18/11-14/11 || otonal ||

=Pentads=

|| Number || Chord || Transversal || Type ||

|| 1 || 0-1-2-9-10 || 1-5/4-14/9-9/5-9/8 || magic ||

Line 205:

|| 18 || 0-1-2-9-13 || 1-5/4-14/9-9/5-12/11 || magic ||

|| 19 || 0-2-4-9-13 || 1-14/9-6/5-9/5-12/11 || octarod ||

|| 20 || 0-1-5-9-13 || 1-5/4-3/2-9/5-12/11 || supermagic+ ||

|| 20 || 0-1-5-9-13 || 1-5/4-3/2-9/5-12/11 || supermagic ||

|| 21 || 0-4-5-9-13 || 1-6/5-3/2-9/5-12/11 || ptolemismic ||

|| 22 || 0-1-8-9-13 || 1-5/4-16/11-9/5-12/11 || supermagic+ ||

|| 22 || 0-1-8-9-13 || 1-5/4-16/11-9/5-12/11 || supermagic ||

|| 23 || 0-4-8-9-13 || 1-6/5-16/11-9/5-12/11 || ptolemismic ||

|| 24 || 0-1-2-11-13 || 1-5/4-14/9-7/5-12/11 || unimarvel ||

Line 217:

|| 30 || 0-2-4-12-13 || 1-14/9-6/5-7/4-12/11 || magic ||

|| 31 || 0-1-5-12-13 || 1-5/4-3/2-7/4-12/11 || keenanismic ||

|| 32 || 0-4-5-12-13 || 1-6/5-3/2-7/4-12/11 || supermagic+ ||

|| 32 || 0-4-5-12-13 || 1-6/5-3/2-7/4-12/11 || supermagic ||

|| 33 || 0-1-8-12-13 || 1-5/4-16/11-7/4-12/11 || keenanismic ||

|| 34 || 0-4-8-12-13 || 1-6/5-16/11-7/4-12/11 || supermagic+ ||

|| 34 || 0-4-8-12-13 || 1-6/5-16/11-7/4-12/11 || supermagic ||

|| 35 || 0-1-11-12-13 || 1-5/4-7/5-7/4-12/11 || unimarvel ||

|| 36 || 0-2-11-12-13 || 1-14/9-7/5-7/4-12/11 || unimarvel ||

Line 267:

|| 80 || 0-11-13-18-20 || 1-7/5-12/11-18/11-14/11 || octarod ||

=Hexads=

|| Number || Chord || Transversal || Type ||

|| 1 || 0-1-2-9-10-11 || 1-5/4-14/9-9/5-9/8-7/5 || magic ||

Line 286:

|| 16 || 0-9-10-11-18-20 || 1-9/5-9/8-7/5-18/11-14/11 || magic ||

|| 17 || 0-8-9-13-18-20 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||

|| 18 || 0-9-11-13-18-20 || 1-9/5-7/5-12/11-18/11-14/11 || octarod ||

|| 18 || 0-9-11-13-18-20 || 1-9/5-7/5-12/11-18/11-14/11 || octarod ||</pre></div>

</pre></div>

<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chords of magic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Magic">magic temperament</a>. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.<br />

<br />

Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic~~+, the nonce name Graham Breed's <a class="wiki_link_ext" href="http://x31eq.com/temper/" rel="nofollow">Temperament Finder</a> gives to it~~. Finally, anything requiring three independent commas among those discussed above is labeled magic.<br />

Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.<br />

<br />

Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.<br />

<br />

<h1 id="toc0"><a name="Triads"></a>Triads</h1>

Line 894:

Line 892:

<br />

<h1 id="toc1"><a name="Tetrads"></a>Tetrads</h1>

Line 974:

Line 972:

</td>

<td>supermagic+<br />

<td>supermagic<br />

</td>

</tr>

Line 1,244:

Line 1,242:

</td>

<td>supermagic+<br />

<td>supermagic<br />

</td>

</tr>

Line 1,414:

Line 1,412:

</td>

<td>supermagic+<br />

<td>supermagic<br />

</td>

</tr>

Line 1,524:

Line 1,522:

</td>

<td>supermagic+<br />

<td>supermagic<br />

</td>

</tr>

Line 1,991:

Line 1,989:

<br />

<h1 id="toc2"><a name="Pentads"></a>Pentads</h1>

Line 2,201:

Line 2,199:

</td>

<td>supermagic+<br />

<td>supermagic<br />

</td>

</tr>

Line 2,221:

Line 2,219:

</td>

<td>supermagic+<br />

<td>supermagic<br />

</td>

</tr>

Line 2,321:

Line 2,319:

</td>

<td>supermagic+<br />

<td>supermagic<br />

</td>

</tr>

Line 2,341:

Line 2,339:

</td>

<td>supermagic+<br />

<td>supermagic<br />

</td>

</tr>

Line 2,808:

Line 2,806:

<br />

<h1 id="toc3"><a name="Hexads"></a>Hexads</h1>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-22 23:42:31 UTC</tt>.<br>
+: This revision was by author [[User:x31eq|x31eq]] and made on <tt>2014-08-17 05:03:57 UTC</tt>.<br>
-: The original revision id was <tt>288251266</tt>.<br>
+: The original revision id was <tt>518731298</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 8: / Line 8: @@
 <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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.
-Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic+, the nonce name Graham Breed's [[http://x31eq.com/temper/|Temperament Finder]] gives to it. Finally, anything requiring three independent commas among those discussed above is labeled magic.
+Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.
 Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.
 =Triads=
 || Number || Chord || Transversal || Type ||
 || 1 || 0-1-2 || 1-5/4-14/9 || marvel ||
@@ Line 73: / Line 73: @@
 || 58 || 0-18-20 || 1-18/11-14/11 || otonal ||
 =Tetrads=
 || Number || Chord || Transversal || Type ||
 || 1 || 0-1-2-9 || 1-5/4-14/9-9/5 || magic ||
@@ Line 81: / Line 81: @@
 || 5 || 0-2-7-9 || 1-14/9-7/6-9/5 || sensamagic ||
 || 6 || 0-5-7-9 || 1-3/2-7/6-9/5 || sensamagic ||
-|| 7 || 0-1-8-9 || 1-5/4-16/11-9/5 || supermagic+ ||
+|| 7 || 0-1-8-9 || 1-5/4-16/11-9/5 || supermagic ||
 || 8 || 0-4-8-9 || 1-6/5-16/11-9/5 || ptolemismic ||
 || 9 || 0-7-8-9 || 1-7/6-16/11-9/5 || magic ||
@@ Line 108: / Line 108: @@
 || 32 || 0-5-7-12 || 1-3/2-7/6-7/4 || ambitonal ||
 || 33 || 0-1-8-12 || 1-5/4-16/11-7/4 || keenanismic ||
-|| 34 || 0-4-8-12 || 1-6/5-16/11-7/4 || supermagic+ ||
+|| 34 || 0-4-8-12 || 1-6/5-16/11-7/4 || supermagic ||
 || 35 || 0-7-8-12 || 1-7/6-16/11-7/4 || keenanismic ||
 || 36 || 0-1-10-12 || 1-5/4-9/8-7/4 || otonal ||
@@ Line 125: / Line 125: @@
 || 49 || 0-1-8-13 || 1-5/4-16/11-12/11 || keenanismic ||
 || 50 || 0-4-8-13 || 1-6/5-16/11-12/11 || ptolemismic ||
-|| 51 || 0-1-9-13 || 1-5/4-9/5-12/11 || supermagic+ ||
+|| 51 || 0-1-9-13 || 1-5/4-9/5-12/11 || supermagic ||
 || 52 || 0-2-9-13 || 1-14/9-9/5-12/11 || octarod ||
 || 53 || 0-4-9-13 || 1-6/5-9/5-12/11 || ptolemismic ||
@@ Line 136: / Line 136: @@
 || 60 || 0-1-12-13 || 1-5/4-7/4-12/11 || keenanismic ||
 || 61 || 0-2-12-13 || 1-14/9-7/4-12/11 || unimarvel ||
-|| 62 || 0-4-12-13 || 1-6/5-7/4-12/11 || supermagic+ ||
+|| 62 || 0-4-12-13 || 1-6/5-7/4-12/11 || supermagic ||
 || 63 || 0-5-12-13 || 1-3/2-7/4-12/11 || keenanismic ||
 || 64 || 0-8-12-13 || 1-16/11-7/4-12/11 || keenanismic ||
@@ Line 184: / Line 184: @@
 || 108 || 0-13-18-20 || 1-12/11-18/11-14/11 || otonal ||
 =Pentads=
 || Number || Chord || Transversal || Type ||
 || 1 || 0-1-2-9-10 || 1-5/4-14/9-9/5-9/8 || magic ||
@@ Line 205: / Line 205: @@
 || 18 || 0-1-2-9-13 || 1-5/4-14/9-9/5-12/11 || magic ||
 || 19 || 0-2-4-9-13 || 1-14/9-6/5-9/5-12/11 || octarod ||
-|| 20 || 0-1-5-9-13 || 1-5/4-3/2-9/5-12/11 || supermagic+ ||
+|| 20 || 0-1-5-9-13 || 1-5/4-3/2-9/5-12/11 || supermagic ||
 || 21 || 0-4-5-9-13 || 1-6/5-3/2-9/5-12/11 || ptolemismic ||
-|| 22 || 0-1-8-9-13 || 1-5/4-16/11-9/5-12/11 || supermagic+ ||
+|| 22 || 0-1-8-9-13 || 1-5/4-16/11-9/5-12/11 || supermagic ||
 || 23 || 0-4-8-9-13 || 1-6/5-16/11-9/5-12/11 || ptolemismic ||
 || 24 || 0-1-2-11-13 || 1-5/4-14/9-7/5-12/11 || unimarvel ||
@@ Line 217: / Line 217: @@
 || 30 || 0-2-4-12-13 || 1-14/9-6/5-7/4-12/11 || magic ||
 || 31 || 0-1-5-12-13 || 1-5/4-3/2-7/4-12/11 || keenanismic ||
-|| 32 || 0-4-5-12-13 || 1-6/5-3/2-7/4-12/11 || supermagic+ ||
+|| 32 || 0-4-5-12-13 || 1-6/5-3/2-7/4-12/11 || supermagic ||
 || 33 || 0-1-8-12-13 || 1-5/4-16/11-7/4-12/11 || keenanismic ||
-|| 34 || 0-4-8-12-13 || 1-6/5-16/11-7/4-12/11 || supermagic+ ||
+|| 34 || 0-4-8-12-13 || 1-6/5-16/11-7/4-12/11 || supermagic ||
 || 35 || 0-1-11-12-13 || 1-5/4-7/5-7/4-12/11 || unimarvel ||
 || 36 || 0-2-11-12-13 || 1-14/9-7/5-7/4-12/11 || unimarvel ||
@@ Line 267: / Line 267: @@
 || 80 || 0-11-13-18-20 || 1-7/5-12/11-18/11-14/11 || octarod ||
 =Hexads=
 || Number || Chord || Transversal || Type ||
 || 1 || 0-1-2-9-10-11 || 1-5/4-14/9-9/5-9/8-7/5 || magic ||
@@ Line 286: / Line 286: @@
 || 16 || 0-9-10-11-18-20 || 1-9/5-9/8-7/5-18/11-14/11 || magic ||
 || 17 || 0-8-9-13-18-20 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||
-|| 18 || 0-9-11-13-18-20 || 1-9/5-7/5-12/11-18/11-14/11 || octarod ||
+|| 18 || 0-9-11-13-18-20 || 1-9/5-7/5-12/11-18/11-14/11 || octarod ||</pre></div>
-</pre></div>
 <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chords of magic&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;dyadic chords&lt;/a&gt; of 11-limit &lt;a class="wiki_link" href="/Magic"&gt;magic temperament&lt;/a&gt;. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.&lt;br /&gt;
 &lt;br /&gt;
-Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic+, the nonce name Graham Breed's &lt;a class="wiki_link_ext" href="http://x31eq.com/temper/" rel="nofollow"&gt;Temperament Finder&lt;/a&gt; gives to it. Finally, anything requiring three independent commas among those discussed above is labeled magic.&lt;br /&gt;
+Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.&lt;br /&gt;
 &lt;br /&gt;
 Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Triads&lt;/h1&gt;
 &lt;table class="wiki_table"&gt;
@@ Line 894: / Line 892: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Tetrads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Tetrads&lt;/h1&gt;
 &lt;table class="wiki_table"&gt;
@@ Line 974: / Line 972: @@
          &lt;td&gt;1-5/4-16/11-9/5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;supermagic+&lt;br /&gt;
+         &lt;td&gt;supermagic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,244: / Line 1,242: @@
          &lt;td&gt;1-6/5-16/11-7/4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;supermagic+&lt;br /&gt;
+         &lt;td&gt;supermagic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,414: / Line 1,412: @@
          &lt;td&gt;1-5/4-9/5-12/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;supermagic+&lt;br /&gt;
+         &lt;td&gt;supermagic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,524: / Line 1,522: @@
          &lt;td&gt;1-6/5-7/4-12/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;supermagic+&lt;br /&gt;
+         &lt;td&gt;supermagic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,991: / Line 1,989: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Pentads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentads&lt;/h1&gt;
 &lt;table class="wiki_table"&gt;
@@ Line 2,201: / Line 2,199: @@
          &lt;td&gt;1-5/4-3/2-9/5-12/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;supermagic+&lt;br /&gt;
+         &lt;td&gt;supermagic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 2,221: / Line 2,219: @@
          &lt;td&gt;1-5/4-16/11-9/5-12/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;supermagic+&lt;br /&gt;
+         &lt;td&gt;supermagic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 2,321: / Line 2,319: @@
          &lt;td&gt;1-6/5-3/2-7/4-12/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;supermagic+&lt;br /&gt;
+         &lt;td&gt;supermagic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 2,341: / Line 2,339: @@
          &lt;td&gt;1-6/5-16/11-7/4-12/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;supermagic+&lt;br /&gt;
+         &lt;td&gt;supermagic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 2,808: / Line 2,806: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Hexads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Hexads&lt;/h1&gt;
 &lt;table class="wiki_table"&gt;