Aberschismic temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>2012-05-~~26 17~~:33:16 UTC</tt>.<br>

: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-07-03 16:41:40 UTC</tt>.<br>

: The original revision id was <tt>~~339763950~~</tt>.<br>

: The original revision id was <tt>350130538</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>

<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]]

The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1> = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.

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Badness: 0.0184

==Buteo==

Commas: 99/98, 385/384, 2200/2187

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Badness: 0.0602

===13-limit===

Commas: 99/98, 275/273, 385/384, 572/567

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Commas: 5120/5103, 235298/234375

[[POTE tuning|POTE generator]]: 703.039

[[POTE tuning|POTE generator]]: ~3/2 = 703.039

Map: [<1 0 61 71|, <0 1 -37 -43|]

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Badness: 0.5232

==7-limit==

Commas: 686/675, 5120/5103

[[POTE tuning|POTE generator]]: 704.263

[[POTE tuning|POTE generator]]: ~3/2 = 704.263

Map: [<1 0 -31 -21|, <0 1 21 15|]

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Commas: 121/120, 441/440, 686/675

[[POTE tuning|POTE generator]]: 704.250

[[POTE tuning|POTE generator]]: ~3/2 = 704.250

Map: [<1 0 -31 -21 -14|, <0 1 21 15 11|]

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Commas: 91/90, 121/120, 169/168, 441/440

[[POTE tuning|POTE generator]]: 704.214

[[POTE tuning|POTE generator]]: ~3/2 = 704.214

Map: [<1 0 -31 -21 -14 -9|, <0 1 21 15 11 8|]

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Commas: 5120/5103, 50421/50000

[[POTE tuning|POTE generator]]: 388.646

[[POTE tuning|POTE generator]]: ~5/4 = 388.646

Map: [<29 46 0 14|, <0 0 1 1|]

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Commas: 441/440, 896/891, 3388/3375

[[POTE tuning|POTE generator]]: 388.460

[[POTE tuning|POTE generator]]: ~5/4 = 388.460

Map: [<29 46 0 14 33|, <0 0 1 1 1|]

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Commas: 196/195, 352/351, 364/363, 676/675

[[POTE tuning|POTE generator]]: 388.354

[[POTE tuning|POTE generator]]: ~5/4 = 388.354

Map: [<29 46 0 14 33 40|, <0 0 1 1 1 1|]

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Badness: 0.0325

==17-limit==

Commas: 352/351, 442/441, 540/539, 715/714, 847/845

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Badness: 0.0211

==19-limit==

Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714

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Badness: 0.0173

=Supers=

Commas: 5120/5103, 118098/117649

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Badness: 92.748

==11-limit==

Commas: 540/539, 4000/3993, 5120/5103

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Badness: 0.0282

==13-limit==

Commas: 352/351, 540/539, 729/728, 1575/1573

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Badness: 0.0216

=Alphaquarter=

Commas: 5120/5103, 29360128/29296875

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Badness: 0.1166

==11-limit==

Commas: 3025/3024, 4000/3993, 5120/5103

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Badness: 0.0296

=Septiquarter=

Commas: 5120/5103, 420175/419904

POTE generator: ~147/128 = 242.453

Map: [<1 3 10 2|, <0 -7 -38 4|]

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Badness: 0.0538

=Tricot=

Commas: 2430/2401, 5120/5103

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Badness: 0.1001

==11-limit==

Commas: 99/98, 121/120, 5120/5103

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Badness: 0.0561

==13-limit==

Commas: 99/98, 121/120, 169/168, 352/351

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Map: [[< 3 16 8 11 7|, <0 -3 -29 -11 -16 -7|]

EDOs: 53

Badness: 0.0321

Badness: 0.0321</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>Hemifamity temperaments</title></head><body><div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 1em;"><a href="#Buzzard">Buzzard</a></div>

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<div style="margin-left: 2em;"><a href="#Tricot-13-limit">13-limit</a></div>

</div>

~~<br />~~

The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.<br />

The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.<br />

<br />

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

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<br />

<h2 id="toc4"><a name="Buzzard-Buteo"></a>Buteo</h2>

Commas: 99/98, 385/384, 2200/2187<br />

<br />

POTE generator: ~21/16 = 475.436<br />

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<br />

<h3 id="toc5"><a name="Buzzard-Buteo-13-limit"></a>13-limit</h3>

Commas: 99/98, 275/273, 385/384, 572/567<br />

<br />

POTE generator: ~21/16 = 475.464<br />

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Commas: 5120/5103, 235298/234375<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.039<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 703.039<br />

<br />

Map: [&lt;1 0 61 71|, &lt;0 1 -37 -43|]<br />

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<br />

<h2 id="toc8"><a name="Leapday-7-limit"></a>7-limit</h2>

Commas: 686/675, 5120/5103<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 704.263<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 704.263<br />

<br />

Map: [&lt;1 0 -31 -21|, &lt;0 1 21 15|]<br />

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Commas: 121/120, 441/440, 686/675<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 704.250<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 704.250<br />

<br />

Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]<br />

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Commas: 91/90, 121/120, 169/168, 441/440<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 704.214<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 704.214<br />

<br />

Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]<br />

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Commas: 5120/5103, 50421/50000<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 388.646<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~5/4 = 388.646<br />

<br />

Map: [&lt;29 46 0 14|, &lt;0 0 1 1|]<br />

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Commas: 441/440, 896/891, 3388/3375<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 388.460<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~5/4 = 388.460<br />

<br />

Map: [&lt;29 46 0 14 33|, &lt;0 0 1 1 1|]<br />

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Commas: 196/195, 352/351, 364/363, 676/675<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 388.354<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~5/4 = 388.354<br />

<br />

Map: [&lt;29 46 0 14 33 40|, &lt;0 0 1 1 1 1|]<br />

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<br />

<h2 id="toc17"><a name="Quanic-17-limit"></a>17-limit</h2>

Commas: 352/351, 442/441, 540/539, 715/714, 847/845<br />

<br />

POTE generator: ~13/12 = 140.497<br />

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<br />

<h2 id="toc18"><a name="Quanic-19-limit"></a>19-limit</h2>

Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714<br />

<br />

POTE generator: ~13/12 = 140.496<br />

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<br />

<h1 id="toc19"><a name="Supers"></a>Supers</h1>

Commas: 5120/5103, 118098/117649<br />

<br />

POTE generator: ~9/7 = 434.218<br />

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<br />

<h2 id="toc20"><a name="Supers-11-limit"></a>11-limit</h2>

Commas: 540/539, 4000/3993, 5120/5103<br />

<br />

POTE generator: ~9/7 = 434.217<br />

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<br />

<h2 id="toc21"><a name="Supers-13-limit"></a>13-limit</h2>

Commas: 352/351, 540/539, 729/728, 1575/1573<br />

<br />

POTE generator: ~9/7 = 434.221<br />

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<br />

<h1 id="toc22"><a name="Alphaquarter"></a>Alphaquarter</h1>

Commas: 5120/5103, 29360128/29296875<br />

<br />

POTE generator: ~16128/15625 = 55.243<br />

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<br />

<h2 id="toc23"><a name="Alphaquarter-11-limit"></a>11-limit</h2>

Commas: 3025/3024, 4000/3993, 5120/5103<br />

<br />

POTE generator: ~33/32 = 55.243<br />

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<br />

<h1 id="toc24"><a name="Septiquarter"></a>Septiquarter</h1>

Commas: 5120/5103, 420175/419904<br />

<br />

POTE generator: ~147/128 = 242.453<br />

<br />

Map: [&lt;1 3 10 2|, &lt;0 -7 -38 4|]<br />

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<br />

<h1 id="toc25"><a name="Tricot"></a>Tricot</h1>

Commas: 2430/2401, 5120/5103<br />

<br />

POTE generator: ~81/56 = 634.026<br />

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<br />

<h2 id="toc26"><a name="Tricot-11-limit"></a>11-limit</h2>

Commas: 99/98, 121/120, 5120/5103<br />

<br />

POTE generator: ~63/44 = 634.027<br />

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<br />

<h2 id="toc27"><a name="Tricot-13-limit"></a>13-limit</h2>

Commas: 99/98, 121/120, 169/168, 352/351<br />

<br />

POTE generator: ~13/9 = 634.012<br />

@@ 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>2012-05-26 17:33:16 UTC</tt>.<br>
+: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-07-03 16:41:40 UTC</tt>.<br>
-: The original revision id was <tt>339763950</tt>.<br>
+: The original revision id was <tt>350130538</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>
 <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]]
 The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.
@@ Line 47: / Line 46: @@
 Badness: 0.0184
 ==Buteo==
 Commas: 99/98, 385/384, 2200/2187
@@ Line 56: / Line 55: @@
 Badness: 0.0602
 ===13-limit===
 Commas: 99/98, 275/273, 385/384, 572/567
@@ Line 68: / Line 67: @@
 Commas: 5120/5103, 235298/234375
-[[POTE tuning|POTE generator]]: 703.039
+[[POTE tuning|POTE generator]]: ~3/2 = 703.039
 Map: [&lt;1 0 61 71|, &lt;0 1 -37 -43|]
@@ Line 83: / Line 82: @@
 Badness: 0.5232
 ==7-limit==
 Commas: 686/675, 5120/5103
-[[POTE tuning|POTE generator]]: 704.263
+[[POTE tuning|POTE generator]]: ~3/2 = 704.263
 Map: [&lt;1 0 -31 -21|, &lt;0 1 21 15|]
@@ Line 96: / Line 95: @@
 Commas: 121/120, 441/440, 686/675
-[[POTE tuning|POTE generator]]: 704.250
+[[POTE tuning|POTE generator]]: ~3/2 = 704.250
 Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]
@@ Line 105: / Line 104: @@
 Commas: 91/90, 121/120, 169/168, 441/440
-[[POTE tuning|POTE generator]]: 704.214
+[[POTE tuning|POTE generator]]: ~3/2 = 704.214
 Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]
@@ Line 114: / Line 113: @@
 Commas: 5120/5103, 50421/50000
-[[POTE tuning|POTE generator]]: 388.646
+[[POTE tuning|POTE generator]]: ~5/4 = 388.646
 Map: [&lt;29 46 0 14|, &lt;0 0 1 1|]
@@ Line 124: / Line 123: @@
 Commas: 441/440, 896/891, 3388/3375
-[[POTE tuning|POTE generator]]: 388.460
+[[POTE tuning|POTE generator]]: ~5/4 = 388.460
 Map: [&lt;29 46 0 14 33|, &lt;0 0 1 1 1|]
@@ Line 133: / Line 132: @@
 Commas: 196/195, 352/351, 364/363, 676/675
-[[POTE tuning|POTE generator]]: 388.354
+[[POTE tuning|POTE generator]]: ~5/4 = 388.354
 Map: [&lt;29 46 0 14 33 40|, &lt;0 0 1 1 1 1|]
@@ Line 166: / Line 165: @@
 Badness: 0.0325
 ==17-limit==
 Commas: 352/351, 442/441, 540/539, 715/714, 847/845
@@ Line 175: / Line 174: @@
 Badness: 0.0211
 ==19-limit==
 Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714
@@ Line 184: / Line 183: @@
 Badness: 0.0173
 =Supers=
 Commas: 5120/5103, 118098/117649
@@ Line 194: / Line 193: @@
 Badness: 92.748
 ==11-limit==
 Commas: 540/539, 4000/3993, 5120/5103
@@ Line 203: / Line 202: @@
 Badness: 0.0282
 ==13-limit==
 Commas: 352/351, 540/539, 729/728, 1575/1573
@@ Line 212: / Line 211: @@
 Badness: 0.0216
 =Alphaquarter=
 Commas: 5120/5103, 29360128/29296875
@@ Line 222: / Line 221: @@
 Badness: 0.1166
 ==11-limit==
 Commas: 3025/3024, 4000/3993, 5120/5103
@@ Line 230: / Line 229: @@
 Badness: 0.0296
 =Septiquarter=
 Commas: 5120/5103, 420175/419904
-POTE generator: ~147/128 =  242.453
+POTE generator: ~147/128 = 242.453
 Map: [&lt;1 3 10 2|, &lt;0 -7 -38 4|]
@@ Line 240: / Line 239: @@
 Badness: 0.0538
 =Tricot=
 Commas: 2430/2401, 5120/5103
@@ Line 250: / Line 249: @@
 Badness: 0.1001
 ==11-limit==
 Commas: 99/98, 121/120, 5120/5103
@@ Line 259: / Line 258: @@
 Badness: 0.0561
 ==13-limit==
 Commas: 99/98, 121/120, 169/168, 352/351
@@ Line 266: / Line 265: @@
 Map: [[&lt; 3 16 8 11 7|, &lt;0 -3 -29 -11 -16 -7|]
 EDOs: 53
-Badness: 0.0321
+Badness: 0.0321</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;Hemifamity temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:56:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Buzzard"&gt;Buzzard&lt;/a&gt;&lt;/div&gt;
@@ Line 304: / Line 296: @@
 &lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Tricot-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
 &lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:85 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:85 --&gt;The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&amp;gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.&lt;br /&gt;
-The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&amp;gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.&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="Buzzard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Buzzard&lt;/h1&gt;
@@ Line 345: / Line 336: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Buzzard-Buteo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Buteo&lt;/h2&gt;
-Commas: 99/98, 385/384, 2200/2187&lt;br /&gt;
+ Commas: 99/98, 385/384, 2200/2187&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~21/16 = 475.436&lt;br /&gt;
@@ Line 354: / Line 345: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="Buzzard-Buteo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit&lt;/h3&gt;
-Commas: 99/98, 275/273, 385/384, 572/567&lt;br /&gt;
+ Commas: 99/98, 275/273, 385/384, 572/567&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~21/16 = 475.464&lt;br /&gt;
@@ Line 365: / Line 356: @@
   Commas: 5120/5103, 235298/234375&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.039&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 703.039&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 61 71|, &amp;lt;0 1 -37 -43|]&lt;br /&gt;
@@ Line 381: / Line 372: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Leapday-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;7-limit&lt;/h2&gt;
-Commas: 686/675, 5120/5103&lt;br /&gt;
+ Commas: 686/675, 5120/5103&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 704.263&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.263&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 -31 -21|, &amp;lt;0 1 21 15|]&lt;br /&gt;
@@ Line 393: / Line 384: @@
   Commas: 121/120, 441/440, 686/675&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 704.250&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.250&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 -31 -21 -14|, &amp;lt;0 1 21 15 11|]&lt;br /&gt;
@@ Line 402: / Line 393: @@
   Commas: 91/90, 121/120, 169/168, 441/440&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 704.214&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.214&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 -31 -21 -14 -9|, &amp;lt;0 1 21 15 11 8|]&lt;br /&gt;
@@ Line 411: / Line 402: @@
   Commas: 5120/5103, 50421/50000&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 388.646&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~5/4 = 388.646&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;29 46 0 14|, &amp;lt;0 0 1 1|]&lt;br /&gt;
@@ Line 421: / Line 412: @@
   Commas: 441/440, 896/891, 3388/3375&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 388.460&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~5/4 = 388.460&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;29 46 0 14 33|, &amp;lt;0 0 1 1 1|]&lt;br /&gt;
@@ Line 430: / Line 421: @@
   Commas: 196/195, 352/351, 364/363, 676/675&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 388.354&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~5/4 = 388.354&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;29 46 0 14 33 40|, &amp;lt;0 0 1 1 1 1|]&lt;br /&gt;
@@ Line 464: / Line 455: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="Quanic-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;17-limit&lt;/h2&gt;
-Commas: 352/351, 442/441, 540/539, 715/714, 847/845&lt;br /&gt;
+ Commas: 352/351, 442/441, 540/539, 715/714, 847/845&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~13/12 = 140.497&lt;br /&gt;
@@ Line 473: / Line 464: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Quanic-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;19-limit&lt;/h2&gt;
-Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714&lt;br /&gt;
+ Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~13/12 = 140.496&lt;br /&gt;
@@ Line 482: / Line 473: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Supers"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Supers&lt;/h1&gt;
-Commas: 5120/5103, 118098/117649&lt;br /&gt;
+ Commas: 5120/5103, 118098/117649&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~9/7 = 434.218&lt;br /&gt;
@@ Line 492: / Line 483: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Supers-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;11-limit&lt;/h2&gt;
-Commas: 540/539, 4000/3993, 5120/5103&lt;br /&gt;
+ Commas: 540/539, 4000/3993, 5120/5103&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~9/7 = 434.217&lt;br /&gt;
@@ Line 501: / Line 492: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="Supers-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;13-limit&lt;/h2&gt;
-Commas: 352/351, 540/539, 729/728, 1575/1573&lt;br /&gt;
+ Commas: 352/351, 540/539, 729/728, 1575/1573&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~9/7 = 434.221&lt;br /&gt;
@@ Line 510: / Line 501: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Alphaquarter"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Alphaquarter&lt;/h1&gt;
-Commas: 5120/5103, 29360128/29296875&lt;br /&gt;
+ Commas: 5120/5103, 29360128/29296875&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~16128/15625 = 55.243&lt;br /&gt;
@@ Line 520: / Line 511: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc23"&gt;&lt;a name="Alphaquarter-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;11-limit&lt;/h2&gt;
-Commas: 3025/3024, 4000/3993, 5120/5103&lt;br /&gt;
+ Commas: 3025/3024, 4000/3993, 5120/5103&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~33/32 = 55.243&lt;br /&gt;
@@ Line 528: / Line 519: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Septiquarter"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;Septiquarter&lt;/h1&gt;
-Commas: 5120/5103, 420175/419904&lt;br /&gt;
+ Commas: 5120/5103, 420175/419904&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~147/128 =  242.453&lt;br /&gt;
+POTE generator: ~147/128 = 242.453&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 3 10 2|, &amp;lt;0 -7 -38 4|]&lt;br /&gt;
@@ Line 538: / Line 529: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Tricot"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Tricot&lt;/h1&gt;
-Commas: 2430/2401, 5120/5103&lt;br /&gt;
+ Commas: 2430/2401, 5120/5103&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~81/56 = 634.026&lt;br /&gt;
@@ Line 548: / Line 539: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc26"&gt;&lt;a name="Tricot-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;11-limit&lt;/h2&gt;
-Commas: 99/98, 121/120, 5120/5103&lt;br /&gt;
+ Commas: 99/98, 121/120, 5120/5103&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~63/44 = 634.027&lt;br /&gt;
@@ Line 557: / Line 548: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc27"&gt;&lt;a name="Tricot-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;13-limit&lt;/h2&gt;
-Commas: 99/98, 121/120, 169/168, 352/351&lt;br /&gt;
+ Commas: 99/98, 121/120, 169/168, 352/351&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~13/9 = 634.012&lt;br /&gt;