Gamelismic family: 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>~~2013~~-10-26 13:~~48:20~~ UTC</tt>.<br>

: This revision was by author [[User:Gedankenwelt|Gedankenwelt]] and made on <tt>2014-02-08 20:13:15 UTC</tt>.<br>

: The original revision id was <tt>~~463337328~~</tt>.<br>

: The original revision id was <tt>488195934</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|flat]]

=Gamelan=

//Gamelan temperament// is the rank three [[Harmonic Limit|7-limit]] [[Regular Temperaments|temperament]] tempering out 1029/1024.

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[[Minkowski lattice basis]]: 8/7 length 0.5192, 5/4 length = log2(5)

Angle(8/7, 5/4) = 90 degrees

Map to lattice: [<0 3 0 -1|, <0 0 1 0|]

Map: [<1 1 0 3|, <0 3 0 -1|,<0 0 1 0|]

[[edo|EDOs]]: 5, 10, 15, 26, 31, 41, 72~~, 118~~, [[118edo|118]], [[159edo|159]], [[190edo|190]]

[[edo|EDOs]]: 5, 10, 15, 26, 31, 41, 72, [[118edo|118]], [[159edo|159]], [[190edo|190]]

Badness: 0.000176

[[Projection pair]]: 3 1024/343 to 2.5.7

=Portent=

Portent has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440.

[[Comma|Commas]]: c = 1029/1024, e = 385/384

Minimax: 3 1/7c flat, 5 and 7 2/7c flat, 11 e-3/7c flat

[|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>,

|39/14 4/7 1/2 -2/7 -1/2>,

|20/7 -2/7 0 1/7 0>,

|39/14 4/7 -1/2 -2/7 1/2>]

[[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 9/7

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Map: [<1 1 0 3 5|, <0 3 0 -1 4| <0 0 1 0 -1|]

[[Generator|Generators]]: 2, 8/7, 5

~~Edos~~: 10, 15, 26, 31, 41, 46, 57, 72, 77, 103, 118, 149, 159, 190

EDOs: 10, 15, 26, 31, 41, 46, 57, 72, 77, 103, 118, 149, 159, 190

Badness: 0.000234

Projection pairs: 3 1024/343 11 131072/12005 to 2.5.7

==Portending==

Commas: 325/324, 364/363, 441/440

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Badness: 0.000627

==Portentous==

Commas: 385/384, 441/440, 625/624

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Badness: 0.000662

==Ominous==

Commas: 351/350, 385/384, 441/440

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Badness: 0.000751

===17-limit===

Commas: 273/272, 351/350, 441/440, 561/560

Minimax tuning

[|1 0 0 0 0 0 0>,

|7/4 9/10 0 0 -3/10 -3/20 0>,

|5/2 7/5 0 0 -4/5 1/10 0>,

|11/4 -3/10 0 0 1/10 1/20 0>,

|7/2 -1/5 0 0 2/5 -3/10 0>,

|7/2 -1/5 0 0 -3/5 7/10 0>,

|4 2/5 0 0 -4/5 3/5 0>]

Eigenmonzos: 2, 13/11, 11/9

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Map to lattice: [<0 1 1 0 0 -1 0|, <0 -1 -1 0 -1 2 1|]

Map: [<1 1 0 3 5 1 1|, <0 3 0 -1 4 -10 -8|,

<0 0 1 0 -1 2 2|]

Generators: 2, 8/7, 5

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Badness: 0.000612

==Momentous==

Commas: 196/195, 352/351, 385/384

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Badness: 0.000832

==Foreboding==

Commas: 105/104, 144/143, 275/273

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Badness: 0.000873

=Gamel=

Commas: 1029/1024, 540/539

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<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>Gamelismic family</title></head><body><a href="#Gamelan">Gamelan</a> | <a href="#Portent">Portent</a> | <a href="#Gamel">Gamel</a>

~~<br />~~

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

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

<em>Gamelan temperament</em> is the rank three <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> <a class="wiki_link" href="/Regular%20Temperaments">temperament</a> tempering out 1029/1024.<br />

<em>Gamelan temperament</em> is the rank three <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> <a class="wiki_link" href="/Regular%20Temperaments">temperament</a> tempering out 1029/1024. <br />

<br />

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<a class="wiki_link" href="/Minkowski%20lattice%20basis">Minkowski lattice basis</a>: 8/7 length 0.5192, 5/4 length = log2(5)<br />

Angle(8/7, 5/4) = 90 degrees<br />

Map to lattice: [&lt;0 3 0 -1|, &lt;0 0 1 0|] <br />

Map to lattice: [&lt;0 3 0 -1|, &lt;0 0 1 0|]<br />

<br />

Map: [&lt;1 1 0 3|, &lt;0 3 0 -1|,&lt;0 0 1 0|]<br />

Badness: 0.000176<br />

<br />

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<br />

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

Portent has a <a class="wiki_link" href="/Normal%20lists">normal comma list</a> [1029/1024, 385/384] and also tempers out 441/440. <br />

Portent has a <a class="wiki_link" href="/Normal%20lists">normal comma list</a> [1029/1024, 385/384] and also tempers out 441/440.<br />

<br />

<a class="wiki_link" href="/Comma">Commas</a>: c = 1029/1024, e = 385/384<br />

<br />

Minimax: 3 1/7c flat, 5 and 7 2/7c flat, 11 e-3/7c flat<br />

[|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;, <br />

[|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;,<br />

|39/14 4/7 1/2 -2/7 -1/2&gt;,<br />

|20/7 -2/7 0 1/7 0&gt;, <br />

|20/7 -2/7 0 1/7 0&gt;,<br />

|39/14 4/7 -1/2 -2/7 1/2&gt;]<br />

<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/10, 9/7<br />

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Map: [&lt;1 1 0 3 5|, &lt;0 3 0 -1 4| &lt;0 0 1 0 -1|]<br />

<a class="wiki_link" href="/Generator">Generators</a>: 2, 8/7, 5<br />

~~Edos~~: 10, 15, 26, 31, 41, 46, 57, 72, 77, 103, 118, 149, 159, 190<br />

EDOs: 10, 15, 26, 31, 41, 46, 57, 72, 77, 103, 118, 149, 159, 190<br />

Badness: 0.000234<br />

<br />

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<br />

<h2 id="toc2"><a name="Portent-Portending"></a>Portending</h2>

Commas: 325/324, 364/363, 441/440<br />

<br />

Map: [&lt;1 1 0 3 5 6|, &lt;0 3 0 -1 4 12| &lt;0 0 1 0 -1 -2|]<br />

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<br />

<h2 id="toc3"><a name="Portent-Portentous"></a>Portentous</h2>

Commas: 385/384, 441/440, 625/624<br />

<br />

Map: [&lt;1 1 0 3 5 -5|, &lt;0 3 0 -1 4 -3| &lt;0 0 1 0 -1 4|]<br />

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<br />

<h2 id="toc4"><a name="Portent-Ominous"></a>Ominous</h2>

Commas: 351/350, 385/384, 441/440<br />

<br />

Map: [&lt;1 1 0 3 5 1|, &lt;0 3 0 -1 4 -10| &lt;0 0 1 0 -1 2|]<br />

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<br />

<h3 id="toc5"><a name="Portent-Ominous-17-limit"></a>17-limit</h3>

Commas: 273/272, 351/350, 441/440, 561/560<br />

<br />

Minimax tuning<br />

[|1 0 0 0 0 0 0&gt;, <br />

[|1 0 0 0 0 0 0&gt;,<br />

|7/4 9/10 0 0 -3/10 -3/20 0&gt;, <br />

|7/4 9/10 0 0 -3/10 -3/20 0&gt;,<br />

|5/2 7/5 0 0 -4/5 1/10 0&gt;, <br />

|5/2 7/5 0 0 -4/5 1/10 0&gt;,<br />

|11/4 -3/10 0 0 1/10 1/20 0&gt;, <br />

|11/4 -3/10 0 0 1/10 1/20 0&gt;,<br />

|7/2 -1/5 0 0 2/5 -3/10 0&gt;, <br />

|7/2 -1/5 0 0 2/5 -3/10 0&gt;,<br />

|7/2 -1/5 0 0 -3/5 7/10 0&gt;, <br />

|7/2 -1/5 0 0 -3/5 7/10 0&gt;,<br />

|4 2/5 0 0 -4/5 3/5 0&gt;]<br />

Eigenmonzos: 2, 13/11, 11/9<br />

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Map to lattice: [&lt;0 1 1 0 0 -1 0|, &lt;0 -1 -1 0 -1 2 1|]<br />

<br />

Map: [&lt;1 1 0 3 5 1 1|, &lt;0 3 0 -1 4 -10 -8|, <br />

Map: [&lt;1 1 0 3 5 1 1|, &lt;0 3 0 -1 4 -10 -8|,<br />

&lt;0 0 1 0 -1 2 2|]<br />

Generators: 2, 8/7, 5<br />

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<br />

<h2 id="toc6"><a name="Portent-Momentous"></a>Momentous</h2>

Commas: 196/195, 352/351, 385/384<br />

<br />

Map: [&lt;1 1 0 3 5 7|, &lt;0 3 0 -4 1 -5|, &lt;0 0 1 0 -1 -1|]<br />

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<br />

<h2 id="toc7"><a name="Portent-Foreboding"></a>Foreboding</h2>

Commas: 105/104, 144/143, 275/273<br />

<br />

Map: [&lt;1 1 0 3 5 1|, &lt;0 3 0 -1 4 2|, &lt;0 0 1 0 -1 1|]<br />

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<br />

<h1 id="toc8"><a name="Gamel"></a>Gamel</h1>

Commas: 1029/1024, 540/539<br />

<br />

Map: [&lt;1 1 0 3 -1|, &lt;0 3 0 -1 11|, &lt;0 0 1 0 1|]<br />

EDOs: 10, 31, 41, 72<br />

Badness: 0.000853</body></html></pre></div>

@@ 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>2013-10-26 13:48:20 UTC</tt>.<br>
+: This revision was by author [[User:Gedankenwelt|Gedankenwelt]] and made on <tt>2014-02-08 20:13:15 UTC</tt>.<br>
-: The original revision id was <tt>463337328</tt>.<br>
+: The original revision id was <tt>488195934</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|flat]]
+=Gamelan=
-=Gamelan=
+//Gamelan temperament// is the rank three [[Harmonic Limit|7-limit]] [[Regular Temperaments|temperament]] tempering out 1029/1024.
-//Gamelan temperament// is the rank three [[Harmonic Limit|7-limit]] [[Regular Temperaments|temperament]] tempering out 1029/1024.
@@ Line 19: / Line 18: @@
 [[Minkowski lattice basis]]: 8/7 length 0.5192, 5/4 length = log2(5)
 Angle(8/7, 5/4) = 90 degrees
 Map to lattice: [&lt;0 3 0 -1|, &lt;0 0 1 0|]
 Map: [&lt;1 1 0 3|, &lt;0 3 0 -1|,&lt;0 0 1 0|]
-[[edo|EDOs]]: 5, 10, 15, 26, 31, 41, 72, 118, [[118edo|118]], [[159edo|159]], [[190edo|190]]
+[[edo|EDOs]]: 5, 10, 15, 26, 31, 41, 72, [[118edo|118]], [[159edo|159]], [[190edo|190]]
 Badness: 0.000176
 [[Projection pair]]: 3 1024/343 to 2.5.7
 =Portent=
 Portent has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440.
 [[Comma|Commas]]: c = 1029/1024, e = 385/384
-Minimax:  3 1/7c flat, 5 and 7 2/7c flat, 11  e-3/7c flat
+Minimax: 3 1/7c flat, 5 and 7 2/7c flat, 11 e-3/7c flat
 [|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;,
 |39/14 4/7 1/2 -2/7 -1/2&gt;,
 |20/7 -2/7 0 1/7 0&gt;,
 |39/14 4/7 -1/2 -2/7 1/2&gt;]
 [[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 9/7
@@ Line 45: / Line 44: @@
 Map: [&lt;1 1 0 3 5|, &lt;0 3 0 -1 4| &lt;0 0 1 0 -1|]
 [[Generator|Generators]]: 2, 8/7, 5
-Edos: 10, 15, 26, 31, 41, 46, 57, 72, 77, 103, 118, 149, 159, 190
+EDOs: 10, 15, 26, 31, 41, 46, 57, 72, 77, 103, 118, 149, 159, 190
 Badness: 0.000234
 Projection pairs: 3 1024/343 11 131072/12005 to 2.5.7
 ==Portending==
 Commas: 325/324, 364/363, 441/440
@@ Line 57: / Line 56: @@
 Badness: 0.000627
 ==Portentous==
 Commas: 385/384, 441/440, 625/624
@@ Line 64: / Line 63: @@
 Badness: 0.000662
 ==Ominous==
 Commas: 351/350, 385/384, 441/440
@@ Line 71: / Line 70: @@
 Badness: 0.000751
 ===17-limit===
 Commas: 273/272, 351/350, 441/440, 561/560
 Minimax tuning
 [|1 0 0 0 0 0 0&gt;,
 |7/4 9/10 0 0 -3/10 -3/20 0&gt;,
 |5/2 7/5 0 0 -4/5 1/10 0&gt;,
 |11/4 -3/10 0 0 1/10 1/20 0&gt;,
 |7/2 -1/5 0 0 2/5 -3/10 0&gt;,
 |7/2 -1/5 0 0 -3/5 7/10 0&gt;,
 |4 2/5 0 0 -4/5 3/5 0&gt;]
 Eigenmonzos: 2, 13/11, 11/9
@@ Line 88: / Line 87: @@
 Map to lattice: [&lt;0 1 1 0 0 -1 0|, &lt;0 -1 -1 0 -1 2 1|]
 Map: [&lt;1 1 0 3 5 1 1|, &lt;0 3 0 -1 4 -10 -8|,
 &lt;0 0 1 0 -1 2 2|]
 Generators: 2, 8/7, 5
@@ Line 94: / Line 93: @@
 Badness: 0.000612
 ==Momentous==
 Commas: 196/195, 352/351, 385/384
@@ Line 101: / Line 100: @@
 Badness: 0.000832
 ==Foreboding==
 Commas: 105/104, 144/143, 275/273
@@ Line 108: / Line 107: @@
 Badness: 0.000873
 =Gamel=
 Commas: 1029/1024, 540/539
@@ Line 116: / Line 115: @@
 <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;Gamelismic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:18:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;a href="#Gamelan"&gt;Gamelan&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt; | &lt;a href="#Portent"&gt;Portent&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt;&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt; | &lt;a href="#Gamel"&gt;Gamel&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Gamelan"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Gamelan&lt;/h1&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Gamelan"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Gamelan&lt;/h1&gt;
+ &lt;em&gt;Gamelan temperament&lt;/em&gt; is the rank three &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;7-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;temperament&lt;/a&gt; tempering out 1029/1024.&lt;br /&gt;
-&lt;em&gt;Gamelan temperament&lt;/em&gt; is the rank three &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;7-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;temperament&lt;/a&gt; tempering out 1029/1024. &lt;br /&gt;
 &lt;br /&gt;
 &lt;br /&gt;
@@ Line 128: / Line 126: @@
 &lt;a class="wiki_link" href="/Minkowski%20lattice%20basis"&gt;Minkowski lattice basis&lt;/a&gt;: 8/7 length 0.5192, 5/4 length = log2(5)&lt;br /&gt;
 Angle(8/7, 5/4) = 90 degrees&lt;br /&gt;
-Map to lattice: [&amp;lt;0 3 0 -1|, &amp;lt;0 0 1 0|] &lt;br /&gt;
+Map to lattice: [&amp;lt;0 3 0 -1|, &amp;lt;0 0 1 0|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 3|, &amp;lt;0 3 0 -1|,&amp;lt;0 0 1 0|]&lt;br /&gt;
-&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: 5, 10, 15, 26, 31, 41, 72, 118, &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/159edo"&gt;159&lt;/a&gt;, &lt;a class="wiki_link" href="/190edo"&gt;190&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: 5, 10, 15, 26, 31, 41, 72, &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/159edo"&gt;159&lt;/a&gt;, &lt;a class="wiki_link" href="/190edo"&gt;190&lt;/a&gt;&lt;br /&gt;
 Badness: 0.000176&lt;br /&gt;
 &lt;br /&gt;
@@ Line 137: / Line 135: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Portent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Portent&lt;/h1&gt;
-Portent has a &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt; [1029/1024, 385/384] and also tempers out 441/440. &lt;br /&gt;
+ Portent has a &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt; [1029/1024, 385/384] and also tempers out 441/440.&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: c = 1029/1024, e = 385/384&lt;br /&gt;
 &lt;br /&gt;
-Minimax:  3 1/7c flat, 5 and 7 2/7c flat, 11  e-3/7c flat&lt;br /&gt;
+Minimax: 3 1/7c flat, 5 and 7 2/7c flat, 11 e-3/7c flat&lt;br /&gt;
-[|1 0 0 0 0&amp;gt;, |10/7 6/7 0 -3/7 0&amp;gt;, &lt;br /&gt;
+[|1 0 0 0 0&amp;gt;, |10/7 6/7 0 -3/7 0&amp;gt;,&lt;br /&gt;
 |39/14 4/7 1/2 -2/7 -1/2&amp;gt;,&lt;br /&gt;
-|20/7 -2/7 0 1/7 0&amp;gt;, &lt;br /&gt;
+|20/7 -2/7 0 1/7 0&amp;gt;,&lt;br /&gt;
 |39/14 4/7 -1/2 -2/7 1/2&amp;gt;]&lt;br /&gt;
 &lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/10, 9/7&lt;br /&gt;
@@ Line 154: / Line 152: @@
 Map: [&amp;lt;1 1 0 3 5|, &amp;lt;0 3 0 -1 4| &amp;lt;0 0 1 0 -1|]&lt;br /&gt;
 &lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 8/7, 5&lt;br /&gt;
-Edos: 10, 15, 26, 31, 41, 46, 57, 72, 77, 103, 118, 149, 159, 190&lt;br /&gt;
+EDOs: 10, 15, 26, 31, 41, 46, 57, 72, 77, 103, 118, 149, 159, 190&lt;br /&gt;
 Badness: 0.000234&lt;br /&gt;
 &lt;br /&gt;
@@ Line 160: / Line 158: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Portent-Portending"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Portending&lt;/h2&gt;
-Commas: 325/324, 364/363, 441/440&lt;br /&gt;
+ Commas: 325/324, 364/363, 441/440&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 3 5 6|, &amp;lt;0 3 0 -1 4 12| &amp;lt;0 0 1 0 -1 -2|]&lt;br /&gt;
@@ Line 167: / Line 165: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Portent-Portentous"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Portentous&lt;/h2&gt;
-Commas: 385/384, 441/440, 625/624&lt;br /&gt;
+ Commas: 385/384, 441/440, 625/624&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 3 5 -5|, &amp;lt;0 3 0 -1 4 -3| &amp;lt;0 0 1 0 -1 4|]&lt;br /&gt;
@@ Line 174: / Line 172: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Portent-Ominous"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Ominous&lt;/h2&gt;
-Commas: 351/350, 385/384, 441/440&lt;br /&gt;
+ Commas: 351/350, 385/384, 441/440&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 3 5 1|, &amp;lt;0 3 0 -1 4 -10| &amp;lt;0 0 1 0 -1 2|]&lt;br /&gt;
@@ Line 181: / Line 179: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="Portent-Ominous-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;17-limit&lt;/h3&gt;
-Commas: 273/272, 351/350, 441/440, 561/560&lt;br /&gt;
+ Commas: 273/272, 351/350, 441/440, 561/560&lt;br /&gt;
 &lt;br /&gt;
 Minimax tuning&lt;br /&gt;
-[|1 0 0 0 0 0 0&amp;gt;, &lt;br /&gt;
+[|1 0 0 0 0 0 0&amp;gt;,&lt;br /&gt;
-|7/4 9/10 0 0 -3/10 -3/20 0&amp;gt;, &lt;br /&gt;
+|7/4 9/10 0 0 -3/10 -3/20 0&amp;gt;,&lt;br /&gt;
-|5/2 7/5 0 0 -4/5 1/10 0&amp;gt;, &lt;br /&gt;
+|5/2 7/5 0 0 -4/5 1/10 0&amp;gt;,&lt;br /&gt;
-|11/4 -3/10 0 0 1/10 1/20 0&amp;gt;, &lt;br /&gt;
+|11/4 -3/10 0 0 1/10 1/20 0&amp;gt;,&lt;br /&gt;
-|7/2 -1/5 0 0 2/5 -3/10 0&amp;gt;, &lt;br /&gt;
+|7/2 -1/5 0 0 2/5 -3/10 0&amp;gt;,&lt;br /&gt;
-|7/2 -1/5 0 0 -3/5 7/10 0&amp;gt;, &lt;br /&gt;
+|7/2 -1/5 0 0 -3/5 7/10 0&amp;gt;,&lt;br /&gt;
 |4 2/5 0 0 -4/5 3/5 0&amp;gt;]&lt;br /&gt;
 Eigenmonzos: 2, 13/11, 11/9&lt;br /&gt;
@@ Line 197: / Line 195: @@
 Map to lattice: [&amp;lt;0 1 1 0 0 -1 0|, &amp;lt;0 -1 -1 0 -1 2 1|]&lt;br /&gt;
 &lt;br /&gt;
-Map: [&amp;lt;1 1 0 3 5 1 1|, &amp;lt;0 3 0 -1 4 -10 -8|, &lt;br /&gt;
+Map: [&amp;lt;1 1 0 3 5 1 1|, &amp;lt;0 3 0 -1 4 -10 -8|,&lt;br /&gt;
 &amp;lt;0 0 1 0 -1 2 2|]&lt;br /&gt;
 Generators: 2, 8/7, 5&lt;br /&gt;
@@ Line 204: / Line 202: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Portent-Momentous"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Momentous&lt;/h2&gt;
-Commas: 196/195, 352/351, 385/384&lt;br /&gt;
+ Commas: 196/195, 352/351, 385/384&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 3 5 7|, &amp;lt;0 3 0 -4 1 -5|, &amp;lt;0 0 1 0 -1 -1|]&lt;br /&gt;
@@ Line 211: / Line 209: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Portent-Foreboding"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Foreboding&lt;/h2&gt;
-Commas: 105/104, 144/143, 275/273&lt;br /&gt;
+ Commas: 105/104, 144/143, 275/273&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 3 5 1|, &amp;lt;0 3 0 -1 4 2|, &amp;lt;0 0 1 0 -1 1|]&lt;br /&gt;
@@ Line 218: / Line 216: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Gamel"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Gamel&lt;/h1&gt;
-Commas: 1029/1024, 540/539&lt;br /&gt;
+ Commas: 1029/1024, 540/539&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 3 -1|, &amp;lt;0 3 0 -1 11|, &amp;lt;0 0 1 0 1|]&lt;br /&gt;
 EDOs: 10, 31, 41, 72&lt;br /&gt;
 Badness: 0.000853&lt;/body&gt;&lt;/html&gt;</pre></div>