Sensipent family: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
<span style="display: block; text-align: right;">[[:de:Sensi Deutsch]]</span>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2016-04-27 05:14:13 UTC</tt>.<br>
: The original revision id was <tt>581351073</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]]
&lt;span style="display: block; text-align: right;"&gt;[[xenharmonie/Sensi|Deutsch]]
&lt;/span&gt;
=Sensipent=
[[Comma]]: 78732/78125 = |2 9 -7&gt;


[[POTE tuning|POTE generator]]: 162/125 = 443.058 cents
=Sensipent=
[[Comma|Comma]]: 78732/78125 = |2 9 -7&gt;


[[Map]]: [&lt;1 6 8|, &lt;0 -7 -9|]
[[POTE_tuning|POTE generator]]: 162/125 = 443.058 cents
[[EDO]]s: [[8edo|8]], [[19edo|19]], [[46edo|46]], [[65edo|65]], [[539edo|539]], [[604edo|604c]], [[669edo|669c]], [[734edo|734c]], [[799edo|799c]], [[864edo|864c]], [[929edo|929c]]


[[Map|Map]]: [&lt;1 6 8|, &lt;0 -7 -9|]


=Sensi=  
[[EDO|EDO]]s: [[8edo|8]], [[19edo|19]], [[46edo|46]], [[65edo|65]], [[539edo|539]], [[604edo|604c]], [[669edo|669c]], [[734edo|734c]], [[799edo|799c]], [[864edo|864c]], [[929edo|929c]]
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;27 temperament. It has as a generator half the size of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as [[13-limit]] sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. [[46edo]] is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available. The name "sensi" is a play on the words "semi-" and "sixth."
 
=Sensi=
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;27 temperament. It has as a generator half the size of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as [[13-limit|13-limit]] sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. [[46edo|46edo]] is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available. The name "sensi" is a play on the words "semi-" and "sixth."


[[Comma|Commas]]: 126/125, 245/243
[[Comma|Commas]]: 126/125, 245/243


7-limit minimax
7-limit minimax
[|1 0 0 0&gt;, |1/13 0 0 7/13&gt;, |5/13 0 0 9/13&gt;, |0 0 0 1&gt;]
[|1 0 0 0&gt;, |1/13 0 0 7/13&gt;, |5/13 0 0 9/13&gt;, |0 0 0 1&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 7
[[Eigenmonzo|Eigenmonzos]]: 2, 7


9-limit minimax
9-limit minimax
[|1 0 0 0&gt;, |2/5 14/5 -7/5 0&gt;,
[|1 0 0 0&gt;, |2/5 14/5 -7/5 0&gt;,
|4/5 18/5 -9/5 0&gt;, |3/5 26/5 -13/5 0&gt;]
|4/5 18/5 -9/5 0&gt;, |3/5 26/5 -13/5 0&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 9/5
[[Eigenmonzo|Eigenmonzos]]: 2, 9/5


[[POTE tuning|POTE generator]]: ~9/7 = 443.383
[[POTE_tuning|POTE generator]]: ~9/7 = 443.383
Algebraic generator: The [[Algebraic number|real root]] of x^5+x^4-4x^2+x-1, at 443.3783 cents.
 
Algebraic generator: The [[Algebraic_number|real root]] of x^5+x^4-4x^2+x-1, at 443.3783 cents.
 
[[Map|Map]]: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]


[[Map]]: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
Wedgie: &lt;&lt;7 9 13 -2 1 5||
Wedgie: &lt;&lt;7 9 13 -2 1 5||
[[Generator|Generators]]: 2, 14/9
[[EDO]]s: [[19edo|19]], [[27edo|27]], [[46edo|46]], [[157edo|157d]], [[203edo|203cd]], [[249edo|249cd]], [[295edo|295cd]]
[[Badness]]: 0.0256


==Sensor==  
[[generator|Generators]]: 2, 14/9
[[Comma]]s: 126/125, 245/243, 385/384
 
[[EDO|EDO]]s: [[19edo|19]], [[27edo|27]], [[46edo|46]], [[157edo|157d]], [[203edo|203cd]], [[249edo|249cd]], [[295edo|295cd]]
 
[[Badness|Badness]]: 0.0256
 
==Sensor==
[[Comma|Comma]]s: 126/125, 245/243, 385/384
 
[[POTE_tuning|POTE generator]]: ~9/7 = 443.294
 
[[Map|Map]]: [&lt;1 6 8 11 -6|, &lt;0 -7 -9 -13 15|]
 
[[EDO|EDO]]s: 19, 27, 46, 111d, 157d, 268cd
 
[[Badness|Badness]]: 0.0379
 
===13-limit===
[[Comma|Comma]]s: 91/90, 126/125, 169/168, 385/384
 
[[POTE_tuning|POTE generator]]: ~9/7 = 443.321
 
[[Map|Map]]: [&lt;1 6 8 11 -6 10|, &lt;0 -7 -9 -13 15 -10|]
 
[[EDO|EDO]]s: [[19edo|19]], [[27edo|27]], [[46edo|46]], [[111edo|111df]], [[157edo|157df]]
 
[[Badness|Badness]]: 0.0256
 
==Sensis==
[[Comma|Comma]]s: 56/55, 100/99, 245/243
 
[[POTE_tuning|POTE generator]]: 443.962
 
[[Map|Map]]: [&lt;1 6 8 11 6|, &lt;0 -7 -9 -13 -4|]


[[POTE tuning|POTE generator]]: ~9/7 = 443.294
[[EDO|EDO]]s: [[19edo|19]], [[27edo|27e]], [[73edo|73e]]


[[Map]]: [&lt;1 6 8 11 -6|, &lt;0 -7 -9 -13 15|]
[[Badness|Badness]]: 0.0287
[[EDO]]s: 19, 27, 46, 111d, 157d, 268cd
[[Badness]]: 0.0379


===13-limit===  
===13-limit===
[[Comma]]s: 91/90, 126/125, 169/168, 385/384
[[Comma|Comma]]s: 56/55, 78/77, 91/90, 100/99


[[POTE tuning|POTE generator]]: ~9/7 = 443.321
[[POTE_tuning|POTE generator]]: 443.945


[[Map]]: [&lt;1 6 8 11 -6 10|, &lt;0 -7 -9 -13 15 -10|]
[[Map|Map]]: [&lt;1 6 8 11 6 10|, &lt;0 -7 -9 -13 -4 -10|]
[[EDO]]s: [[19edo|19]], [[27edo|27]], [[46edo|46]], [[111edo|111df]], [[157edo|157df]]
[[Badness]]: 0.0256


==Sensis==
[[EDO|EDO]]s: 19, 27e, 46e, 73e
[[Comma]]s: 56/55, 100/99, 245/243


[[POTE tuning|POTE generator]]: 443.962
[[Badness|Badness]]: 0.0200


[[Map]]: [&lt;1 6 8 11 6|, &lt;0 -7 -9 -13 -4|]
==Sensus==
[[EDO]]s: [[19edo|19]], [[27edo|27e]], [[73edo|73e]]
[[Comma|Comma]]s: 126/125, 176/175, 245/243
[[Badness]]: 0.0287


===13-limit===
[[POTE_generator|POTE generator]]: ~9/7 = 443.626
[[Comma]]s: 56/55, 78/77, 91/90, 100/99


[[POTE tuning|POTE generator]]: 443.945
[[Map|Map]]: [&lt;1 6 8 11 23|, &lt;0 -7 -9 -13 -31|]


[[Map]]: [&lt;1 6 8 11 6 10|, &lt;0 -7 -9 -13 -4 -10|]
[[EDO|EDO]]s: 46, 119c, 165c
[[EDO]]s: 19, 27e, 46e, 73e
[[Badness]]: 0.0200


==Sensus==
[[Badness|Badness]]: 0.0295
[[Comma]]s: 126/125, 176/175, 245/243


[[POTE generator]]: ~9/7 = 443.626
===13-limit===
[[Comma|Comma]]s: 91/90, 126/125, 169/168, 352/351


[[Map]]: [&lt;1 6 8 11 23|, &lt;0 -7 -9 -13 -31|]
[[POTE_generator|POTE generator]]: ~9/7 = 443.559
[[EDO]]s: 46, 119c, 165c
[[Badness]]: 0.0295


===13-limit===
[[Map|Map]]: [&lt;1 6 8 11 23 10|, &lt;0 -7 -9 -13 -31 -10|]
[[Comma]]s: 91/90, 126/125, 169/168, 352/351


[[POTE generator]]: ~9/7 = 443.559
[[EDO|EDO]]s: 46, 165cf, 211bcf, 257bcf, [[303edo|303bcdf]]


[[Map]]: [&lt;1 6 8 11 23 10|, &lt;0 -7 -9 -13 -31 -10|]
[[Badness|Badness]]: 0.0208
[[EDO]]s: 46, 165cf, 211bcf, 257bcf, [[303edo|303bcdf]]
[[Badness]]: 0.0208


See [[Chords of sensus]] for a listing of chords.
See [[Chords_of_sensus|Chords of sensus]] for a listing of chords.


==Sensa==  
==Sensa==
Commas: 55/54, 77/75, 99/98
Commas: 55/54, 77/75, 99/98


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Map: [&lt;1 6 8 11 11|, &lt;0 -7 -9 -13 -12|]
Map: [&lt;1 6 8 11 11|, &lt;0 -7 -9 -13 -12|]
EDOs: 19e, 27, 46e
EDOs: 19e, 27, 46e
Badness: 0.0368
Badness: 0.0368


===13-limit===  
===13-limit===
Commas: 55/54, 66/65, 77/75, 143/140
Commas: 55/54, 66/65, 77/75, 143/140


Line 112: Line 128:


Map: [&lt;1 6 8 11 11 10|, &lt;0 -7 -9 -13 -12 -11|]
Map: [&lt;1 6 8 11 11 10|, &lt;0 -7 -9 -13 -12 -11|]
EDOs: 19e, 27, 46e
EDOs: 19e, 27, 46e
Badness: 0.0233
Badness: 0.0233


=Hemisensi=  
=Hemisensi=
Commas: 126/125, 243/242, 245/242
Commas: 126/125, 243/242, 245/242


Line 121: Line 139:


Map: [&lt;1 13 17 24 32|, &lt;0 -14 -18 -26 -35|]
Map: [&lt;1 13 17 24 32|, &lt;0 -14 -18 -26 -35|]
EDOs: 27e, 65, 157de, 222cde
EDOs: 27e, 65, 157de, 222cde
Badness: 0.0487
Badness: 0.0487


=Sensei=  
=Sensei=
Commas: 225/224, 78732/78125
Commas: 225/224, 78732/78125


Line 130: Line 150:


Map: [&lt;1 6 8 23|, &lt;0 -7 -9 -32|]
Map: [&lt;1 6 8 23|, &lt;0 -7 -9 -32|]
Wedgie: &lt;&lt;7 9 32 -2 31 49||
Wedgie: &lt;&lt;7 9 32 -2 31 49||
EDOs: 19, 84, 103, 187, 290b
EDOs: 19, 84, 103, 187, 290b
Badness: 0.0592
Badness: 0.0592


=Bison=  
=Bison=
Commas: 6144/6125, 78732/78125
Commas: 6144/6125, 78732/78125


Line 140: Line 163:


Map: [&lt;2 5 7 3|, &lt;0 -7 -9 10|]
Map: [&lt;2 5 7 3|, &lt;0 -7 -9 10|]
Wedgie: &lt;&lt;14 18 -20 -4 -71 -97||
Wedgie: &lt;&lt;14 18 -20 -4 -71 -97||
EDOs: 8, 38, 46, 84, 130
EDOs: 8, 38, 46, 84, 130
Badness: 0.0704
Badness: 0.0704


==11-limit==  
==11-limit==
Commas: 441/440, 6144/6125, 8019/8000
Commas: 441/440, 6144/6125, 8019/8000


Line 150: Line 176:


Map: [&lt;2 5 7 3 3|, &lt;0 -7 -9 10 15|]
Map: [&lt;2 5 7 3 3|, &lt;0 -7 -9 10 15|]
EDOs: 46, 84, 130, 306, 436ce
EDOs: 46, 84, 130, 306, 436ce
Badness: 0.0371
Badness: 0.0371


==13-limit==  
==13-limit==
Commas: 351/350, 364/363, 441/440, 10985/10976
Commas: 351/350, 364/363, 441/440, 10985/10976


Line 159: Line 187:


Map: [&lt;2 5 7 3 3 4|, &lt;0 -7 -9 10 15 13|]
Map: [&lt;2 5 7 3 3 4|, &lt;0 -7 -9 10 15 13|]
EDOs: 46, 84, 130, 566ce, 596cef
EDOs: 46, 84, 130, 566ce, 596cef
Badness: 0.0235
Badness: 0.0235


=Heinz=  
=Heinz=
[[Comma]]s: 78732/78125, 1029/1024
[[Comma|Comma]]s: 78732/78125, 1029/1024
 
[[POTE_generator|POTE generator]]: ~48/35 = 546.815
 
[[Map|Map]]: [&lt;1 13 17 -1|, &lt;0 -21 -27 7|]
 
[[EDO|EDO]]s: [[46edo|46]], [[103edo|103]], [[149edo|149]], [[699edo|699bd]]
 
[[Badness|Badness]]: 0.1154
 
==11-limit==
[[Comma|Comma]]s: 385/384, 441/440, 88208/87500
 
[[POTE_generator|POTE generator]]: ~11/8 = 547.631
 
[[Map|Map]]: [&lt;1 13 17 -1 4|, &lt;0 -21 -27 7 -1|]
 
[[EDO|EDO]]s: 46, 103, 149
 
[[Badness|Badness]]: 0.0424
 
==13-limit==
[[Comma|Comma]]s: 351/350, 385/384, 441/440, 847/845


[[POTE generator]]: ~48/35 = 546.815
[[POTE_generator|POTE generator]]: ~11/8 = 547.629


[[Map]]: [&lt;1 13 17 -1|, &lt;0 -21 -27 7|]
[[Map|Map]]: [&lt;1 13 17 -1 4 -5|, &lt;0 -21 -27 7 -1 16|]
[[EDO]]s: [[46edo|46]], [[103edo|103]], [[149edo|149]], [[699edo|699bd]]
[[Badness]]: 0.1154


==11-limit==
[[EDO|EDO]]s: 46, 57, 103, 149, 252e, 401bde
[[Comma]]s: 385/384, 441/440, 88208/87500


[[POTE generator]]: ~11/8 = 547.631
[[Badness|Badness]]: 0.0258


[[Map]]: [&lt;1 13 17 -1 4|, &lt;0 -21 -27 7 -1|]
==17-limit==
[[EDO]]s: 46, 103, 149
[[Comma|Comma]]s: 273/272, 351/350, 385/384, 441/440, 847/845
[[Badness]]: 0.0424


==13-limit==
[[POTE_generator|POTE generator]]: ~11/8 = 547.635
[[Comma]]s: 351/350, 385/384, 441/440, 847/845


[[POTE generator]]: ~11/8 = 547.629
[[Map|Map]]: [&lt;1 13 17 -1 4 -5 3|, &lt;0 -21 -27 7 -1 16 2|]


[[Map]]: [&lt;1 13 17 -1 4 -5|, &lt;0 -21 -27 7 -1 16|]
[[EDO|EDO]]s: 46, 103, 149, [[252edo|252ef]], [[401edo|401bdef]]
[[EDO]]s: 46, 57, 103, 149, 252e, 401bde
[[Badness]]: 0.0258


==17-limit==
[[Badness|Badness]]: 0.0185
[[Comma]]s: 273/272, 351/350, 385/384, 441/440, 847/845


[[POTE generator]]: ~11/8 = 547.635
==19-limit==
[[Comma|Comma]]s: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968


[[Map]]: [&lt;1 13 17 -1 4 -5 3|, &lt;0 -21 -27 7 -1 16 2|]
[[POTE_generator|POTE generator]]: ~11/8 = 547.614
[[EDO]]s: 46, 103, 149, [[252edo|252ef]], [[401edo|401bdef]]
[[Badness]]: 0.0185


==19-limit==
[[Map|Map]]: [&lt;1 13 17 -1 4 -5 3 -5|, &lt;0 -21 -27 7 -1 16 2 17|]
[[Comma]]s: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968


[[POTE generator]]: ~11/8 = 547.614
[[EDO|EDO]]s: 46, 103h, 149h, 252efh


[[Map]]: [&lt;1 13 17 -1 4 -5 3 -5|, &lt;0 -21 -27 7 -1 16 2 17|]
[[Badness|Badness]]: 0.0190
[[EDO]]s: 46, 103h, 149h, 252efh
[[Category:family]]
[[Badness]]: 0.0190</pre></div>
[[Category:list]]
<h4>Original HTML content:</h4>
[[Category:sensipent]]
<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;Sensipent family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:40:&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:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Sensipent"&gt;Sensipent&lt;/a&gt;&lt;/div&gt;
[[Category:theory]]
&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensi-Sensor"&gt;Sensor&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Sensi-Sensor-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensi-Sensis"&gt;Sensis&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Sensi-Sensis-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensi-Sensus"&gt;Sensus&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Sensi-Sensus-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Sensi-Sensa"&gt;Sensa&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Sensi-Sensa-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Hemisensi"&gt;Hemisensi&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Sensei"&gt;Sensei&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Bison"&gt;Bison&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Bison-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Bison-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Heinz"&gt;Heinz&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Heinz-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Heinz-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Heinz-17-limit"&gt;17-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Heinz-19-limit"&gt;19-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;span style="display: block; text-align: right;"&gt;&lt;a class="wiki_link" href="http://xenharmonie.wikispaces.com/Sensi"&gt;Deutsch&lt;/a&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Sensipent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Sensipent&lt;/h1&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 78732/78125 = |2 9 -7&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 162/125 = 443.058 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8|, &amp;lt;0 -7 -9|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/8edo"&gt;8&lt;/a&gt;, &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46&lt;/a&gt;, &lt;a class="wiki_link" href="/65edo"&gt;65&lt;/a&gt;, &lt;a class="wiki_link" href="/539edo"&gt;539&lt;/a&gt;, &lt;a class="wiki_link" href="/604edo"&gt;604c&lt;/a&gt;, &lt;a class="wiki_link" href="/669edo"&gt;669c&lt;/a&gt;, &lt;a class="wiki_link" href="/734edo"&gt;734c&lt;/a&gt;, &lt;a class="wiki_link" href="/799edo"&gt;799c&lt;/a&gt;, &lt;a class="wiki_link" href="/864edo"&gt;864c&lt;/a&gt;, &lt;a class="wiki_link" href="/929edo"&gt;929c&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Sensi&lt;/h1&gt;
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;amp;27 temperament. It has as a generator half the size of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt; is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available. The name &amp;quot;sensi&amp;quot; is a play on the words &amp;quot;semi-&amp;quot; and &amp;quot;sixth.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 126/125, 245/243&lt;br /&gt;
&lt;br /&gt;
7-limit minimax&lt;br /&gt;
[|1 0 0 0&amp;gt;, |1/13 0 0 7/13&amp;gt;, |5/13 0 0 9/13&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7&lt;br /&gt;
&lt;br /&gt;
9-limit minimax&lt;br /&gt;
[|1 0 0 0&amp;gt;, |2/5 14/5 -7/5 0&amp;gt;,&lt;br /&gt;
|4/5 18/5 -9/5 0&amp;gt;, |3/5 26/5 -13/5 0&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 9/5&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.383&lt;br /&gt;
Algebraic generator: The &lt;a class="wiki_link" href="/Algebraic%20number"&gt;real root&lt;/a&gt; of x^5+x^4-4x^2+x-1, at 443.3783 cents.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11|, &amp;lt;0 -7 -9 -13|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;7 9 13 -2 1 5||&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 14/9&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/27edo"&gt;27&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46&lt;/a&gt;, &lt;a class="wiki_link" href="/157edo"&gt;157d&lt;/a&gt;, &lt;a class="wiki_link" href="/203edo"&gt;203cd&lt;/a&gt;, &lt;a class="wiki_link" href="/249edo"&gt;249cd&lt;/a&gt;, &lt;a class="wiki_link" href="/295edo"&gt;295cd&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0256&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Sensi-Sensor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Sensor&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 126/125, 245/243, 385/384&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.294&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 -6|, &amp;lt;0 -7 -9 -13 15|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 19, 27, 46, 111d, 157d, 268cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0379&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="Sensi-Sensor-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;13-limit&lt;/h3&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 91/90, 126/125, 169/168, 385/384&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.321&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 -6 10|, &amp;lt;0 -7 -9 -13 15 -10|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/27edo"&gt;27&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46&lt;/a&gt;, &lt;a class="wiki_link" href="/111edo"&gt;111df&lt;/a&gt;, &lt;a class="wiki_link" href="/157edo"&gt;157df&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0256&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Sensi-Sensis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Sensis&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 56/55, 100/99, 245/243&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 443.962&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 6|, &amp;lt;0 -7 -9 -13 -4|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/27edo"&gt;27e&lt;/a&gt;, &lt;a class="wiki_link" href="/73edo"&gt;73e&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0287&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="Sensi-Sensis-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit&lt;/h3&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 56/55, 78/77, 91/90, 100/99&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 443.945&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 6 10|, &amp;lt;0 -7 -9 -13 -4 -10|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 19, 27e, 46e, 73e&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0200&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Sensi-Sensus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Sensus&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 126/125, 176/175, 245/243&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.626&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 23|, &amp;lt;0 -7 -9 -13 -31|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 119c, 165c&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0295&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="Sensi-Sensus-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;13-limit&lt;/h3&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 91/90, 126/125, 169/168, 352/351&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.559&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 23 10|, &amp;lt;0 -7 -9 -13 -31 -10|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 165cf, 211bcf, 257bcf, &lt;a class="wiki_link" href="/303edo"&gt;303bcdf&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0208&lt;br /&gt;
&lt;br /&gt;
See &lt;a class="wiki_link" href="/Chords%20of%20sensus"&gt;Chords of sensus&lt;/a&gt; for a listing of chords.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Sensi-Sensa"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Sensa&lt;/h2&gt;
Commas: 55/54, 77/75, 99/98&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 443.518&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11 11|, &amp;lt;0 -7 -9 -13 -12|]&lt;br /&gt;
EDOs: 19e, 27, 46e&lt;br /&gt;
Badness: 0.0368&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="Sensi-Sensa-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;13-limit&lt;/h3&gt;
Commas: 55/54, 66/65, 77/75, 143/140&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 443.506&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11 11 10|, &amp;lt;0 -7 -9 -13 -12 -11|]&lt;br /&gt;
EDOs: 19e, 27, 46e&lt;br /&gt;
Badness: 0.0233&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Hemisensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Hemisensi&lt;/h1&gt;
Commas: 126/125, 243/242, 245/242&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~25/22 = 221.605&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 13 17 24 32|, &amp;lt;0 -14 -18 -26 -35|]&lt;br /&gt;
EDOs: 27e, 65, 157de, 222cde&lt;br /&gt;
Badness: 0.0487&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Sensei"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Sensei&lt;/h1&gt;
Commas: 225/224, 78732/78125&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~125/81 = 757.245&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 23|, &amp;lt;0 -7 -9 -32|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;7 9 32 -2 31 49||&lt;br /&gt;
EDOs: 19, 84, 103, 187, 290b&lt;br /&gt;
Badness: 0.0592&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Bison"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Bison&lt;/h1&gt;
Commas: 6144/6125, 78732/78125&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~35/32 = 156.925&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 5 7 3|, &amp;lt;0 -7 -9 10|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;14 18 -20 -4 -71 -97||&lt;br /&gt;
EDOs: 8, 38, 46, 84, 130&lt;br /&gt;
Badness: 0.0704&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Bison-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;11-limit&lt;/h2&gt;
Commas: 441/440, 6144/6125, 8019/8000&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~35/32 = 156.883&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 5 7 3 3|, &amp;lt;0 -7 -9 10 15|]&lt;br /&gt;
EDOs: 46, 84, 130, 306, 436ce&lt;br /&gt;
Badness: 0.0371&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="Bison-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;13-limit&lt;/h2&gt;
Commas: 351/350, 364/363, 441/440, 10985/10976&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~35/32 = 156.904&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 5 7 3 3 4|, &amp;lt;0 -7 -9 10 15 13|]&lt;br /&gt;
EDOs: 46, 84, 130, 566ce, 596cef&lt;br /&gt;
Badness: 0.0235&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Heinz"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Heinz&lt;/h1&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 78732/78125, 1029/1024&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~48/35 = 546.815&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1|, &amp;lt;0 -21 -27 7|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/46edo"&gt;46&lt;/a&gt;, &lt;a class="wiki_link" href="/103edo"&gt;103&lt;/a&gt;, &lt;a class="wiki_link" href="/149edo"&gt;149&lt;/a&gt;, &lt;a class="wiki_link" href="/699edo"&gt;699bd&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.1154&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="Heinz-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;11-limit&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 385/384, 441/440, 88208/87500&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~11/8 = 547.631&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1 4|, &amp;lt;0 -21 -27 7 -1|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 103, 149&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0424&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="Heinz-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;13-limit&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 351/350, 385/384, 441/440, 847/845&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~11/8 = 547.629&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1 4 -5|, &amp;lt;0 -21 -27 7 -1 16|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 57, 103, 149, 252e, 401bde&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0258&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Heinz-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;17-limit&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 273/272, 351/350, 385/384, 441/440, 847/845&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~11/8 = 547.635&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1 4 -5 3|, &amp;lt;0 -21 -27 7 -1 16 2|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 103, 149, &lt;a class="wiki_link" href="/252edo"&gt;252ef&lt;/a&gt;, &lt;a class="wiki_link" href="/401edo"&gt;401bdef&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0185&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Heinz-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;19-limit&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~11/8 = 547.614&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1 4 -5 3 -5|, &amp;lt;0 -21 -27 7 -1 16 2 17|]&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 103h, 149h, 252efh&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0190&lt;/body&gt;&lt;/html&gt;</pre></div>