Subgroup temperaments: Difference between revisions

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[[toc|flat]]
Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on [[Chromatic pairs]].

=2.3.7= 

==[[Semaphore and Godzilla|Semaphore]]== 
Comma: 49/48

[[Lp tuning|POL2 generator]]: ~8/7~7/6 = 250.385

[[Gencom]]: [2 8/7; 49/48]
Gencom mapping: [<1 2 0 3|, <0 -2 0 -1|]

Map: [<1 2 3|, <0 -2 -1|]
EDOs: 5, 14, 19, 24, 67c, 91c
[[Lp tuning#L2 tuning|L2 error]]: 5.046 cents

==Archy== 
Archy can be thought of as "no-5's [[dominant]]" or "no-5's [[superpyth]]". The name comes from the fact that it tempers out 64/63, the Archytas comma.

Comma: 64/63

[[Lp tuning|POL2 generator]]: ~3/2 = 709.321

Gencom: [2 3/2; 64/63]
Gencom mapping: [<1 1 0 4|, <0 1 0 -2|]

Map: [<1 2 2|, <0 -1 2|]
EDOs: 5, 12, 17, 22, 27, 137bc
[[Lp tuning#L2 tuning|L2 error]]: 3.713 cents

==[[Slendric]]== 
Comma: 1029/1024

[[Lp tuning|POL2 generator]]: ~8/7 = 233.688

Gencom: [2 8/7; 1029/1024]
Gencom mapping: [<1 1 0 3|, <0 3 0 -1|]

Map: [<1 1 3|, <0 3 -1|]
EDOs: 5, 21, 26, 31, 36, 77, 113, 190
[[Lp tuning#L2 tuning|L2 error]]: 0.6403 cents

=2.3.11= 

==Neutraltet== 
Neutraltet can be thought of as 2.3.11 version of either [[mohajira]] or [[maqamic]], and is the temperament optimizing the [[neutral tetrad]].

Comma: 243/242

[[Lp tuning|POL2 generator]]: ~11/9 = 350.525

Gencom: [2 11/9; 243/242]
Gencom mapping: [<1 1 0 0 2|, <0 2 0 0 5|]

Map: [<1 1 2|, <0 2 5|]
EDOs: 7, 10, 17, 24, 41, 65, 89, 202, 291, 380
[[Lp tuning#L2 tuning|L2 error]]: 0.6756 cents

[[xenharmonic/neutraltet7|Seven note albitonic scale]]
[[xenharmonic/neutraltet10|Ten note chromatic scale]]
[[xenharmonic/neutraltet17|Seventeen note mega chromatic scale]]

=2.3.5.11= 

==Porcupine== 
Commas: 55/54, 100/99

[[Lp tuning|POL2 generator]]: ~10/9 = 164.078

Gencom: [2 10/9; 55/54, 100/99]
Gencom mapping: [<1 2 3 0 4|, <0 -3 -5 0 -4|]

Map: [<1 2 3 4|, <0 -3 -5 -4|]
EDOs: 7, 15, 22, 37, 73cd, 95cd, 117bcd
[[Lp tuning#L2 tuning|L2 error]]: 5.114 cents

==Mohaha== 
Commas: 81/80, 121/120

[[Lp tuning|POL2 generator]]: ~11/9 = 348.094

Gencom: [2 11/9; 81/80 121/120]
Gencom mapping: [<1 1 0 0 2|, <0 2 8 0 5|]

Map: [<1 1 0 2|, <0 2 8 5|]
EDOs: 7, 10, 17, 24, 31, 69d, 100d, 131bd
[[Lp tuning#L2 tuning|L2 error]]: 3.113 cents

===Music===
[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]] by [[Billy Stiltner]]

=2.3.7.11= 

==Ennea== 
Commas: 41503/41472, 43923/43904

[[Lp tuning|POL2 generator]]: ~99/98 = 17.6258

Gencom: [2 99/98; 41503/41472, 43923/43904]
Gencom mapping: [<1 14/9 0 25/9 31/9|, <0 2 0 2 1|]

Sval map: [<9 0 11 24|, <0 2 2 1|]
EDOs: 54, 63, 68, 72, 135, 342, 477, 525, 613, 681, 749, 817, 2159bcd, 3336bcd, 4153bcd
[[Lp tuning#L2 tuning|L2 error]]: 0.0857 cents

==Supra== 
Commas: 64/63, 99/98

[[POTE tuning|POTE generator]]: ~3/2 = 707.192

Gencom: [2 3/2; 64/63 99/98]
Gencom mapping: [<1 1 0 4 7|, <0 1 0 -2 -6|]

Sval map: [<1 0 6 13|, <0 1 -2 -6|]
EDOs: 5, 12, 17, 39c, 56c
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents

==Skwares== 
Commas: 99/98, 243/242

[[POTE tuning|POTE generator]]: ~9/7 = 425.244

Gencom: [2 9/7; 99/98 243/242]
Gencom mapping: [<1 3 0 6 7|, <0 -4 0 -9 -10]]

Sval map: [<1 3 6 7|, <0 -4 -9 -10|]
EDOs: 14, 17, 31, 48, 79, 127, 206bcd
[[Lp tuning#L2 tuning|L2 error]]: 2.457 cents

==Hemif== 
Commas: 243/242, 896/891

POTE generator: ~11/9 = 351.535

Gencom: [2 11/9; 243/242 896/891]
Gencom mapping: [<1 1 0 -1 2|, <0 2 0 13 5|]

Sval map: [<1 1 -1 2|, <0 2 13 5|]
EDOs: 7, 17, 41, 58, 99
[[Lp tuning#L2 tuning|L2 error]]: 

=2.5.7.11= 

==Larry== 
Commas: 243/242, 4000/3993
Related temperaments: [[Gravity family#Gravity|gravity]], [[Gravity family#Harry|harry]]

POTE generator: ~40/27 = 683.166

Gencom: [2 40/27; 243/242 4000/3993]
Gencom mapping: [<1 5 12 0 12|, <0 -6 -17 0 -15|]

Map: [<1 5 12 12|, <0 -6 -17 -15|]
EDOs: 7, 58, 65, 137, 202
[[Lp tuning#L2 tuning|L2 error]]: 

=2.9.7.11= 

==Machine== 
Commas: 64/63, 99/98

[[POTE tuning|POTE generator]]: ~8/7 = 214.384

Gencom: [2 8/7; 64/63 99/98]
Gencom mapping: [<1 3/2 0 3 4|, <0 1/2 0 -1 -3|]

[[Smonzos and Svals|Sval map]]: [<1 0 6 13|, <0 1 -1 -3|]
EDOs: 5, 6, 11, 17, 28
[[Lp tuning#L2 tuning|L2 error]]: 

==Apparatus== 
Commas: 41503/41472, 322102/321489

[[POTE tuning|POTE generator]]: ~77/72 = 115.570

Gencom: [2 77/72; 41503/41472 322102/321489]
Gencom mapping: [<1 5/2 0 3 5|, <0 -19/2 0 -2 -16|]

[[Smonzos and Svals|Sval map]]: [<1 5 3 5|, <0 -19 -2 -16|]
EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623
[[Lp tuning#L2 tuning|L2 error]]: 

==Mechanism== 
Commas: 896/891, 26411/26244

[[POTE tuning|POTE generator]]: ~9/7 = 438.465

Gencom: [2 9/7; 896/891 26411/26244]
Gencom mapping: [<1 5/2 0 5 2|, <0 -5/2 0 -6 4|]

[[Smonzos and Svals|Sval map]]: [<1 5 5 2|, <0 -5 -6 4|]
EDOs: 8, 11, 30, 41, 52
[[Lp tuning#L2 tuning|L2 error]]: 

=2.9.15.7.11.13= 

==Stacks (aka 2magic)== 
Commas: 100/99, 105/104, 144/143, 196/195

POTE generator: ~9/7 = 438.977

Gencom: [2 9/7; 100/99 105/104 144/143 196/195]
Gencom mapping: [<1 5/2 5/2 5 2 7|, <0 -5/2 -1/2 -6 4 -9|] 

Sval map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|]
EDOs: 11, 30, 41
[[Lp tuning#L2 tuning|L2 error]]: 

===2.9.15.7.11 stacks=== 
Commas: 100/99, 225/224, 245/243

POTE generator: ~9/7 =438.443

Gencom: [2 9/7; 100/99 225/224 245/243]
Gencom mapping: [<1 5/2 5/2 5 2|, <0 -5/2 -1/2 -6 4|]

Sval map: [<1 0 2 -1 6|, <0 5 3 6 -4|]
EDOs: 8, 11, 30, 41, 52
[[Lp tuning#L2 tuning|L2 error]]: 

===2.9.15.7 stacks=== 
Commas: 225/224, 245/243

POTE generator: ~9/7 = 438.850

Gencom: [2 9/7; 225/224 245/243]
Gencom mapping: [<1 5/2 5/2 5|, <0 -5/2 -1/2 -6|]

Sval map: [<1 0 2 -1|, <0 5 3 6|]
EDOs: 8, 11, 30, 41, 93, 134c, 175c
[[Lp tuning#L2 tuning|L2 error]]: 

=2.9.21= 
==A-team== 
Commas: 1029/1024

POTE generator: ~21/16 = 467.756

Gencom: [2 21/16; 1029/1024]
Gencom mapping: [<1 1 0 3|, <0 3/2 0 -1/2|]

Sval map: [<1 2 4|, <0 3 1|]
EDOs: 5, 13, 18, 41, 59, 254c, 313c, 372c, 472c, 490c
[[Lp tuning#L2 tuning|L2 error]]:

Original HTML content:

<html><head><title>Subgroup temperaments</title></head><body><!-- ws:start:WikiTextTocRule:54:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><a href="#x2.3.7">2.3.7</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#x2.3.11">2.3.11</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --> | <a href="#x2.3.7.11">2.3.7.11</a><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#x2.5.7.11">2.5.7.11</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#x2.9.7.11">2.9.7.11</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --> | <a href="#x2.9.15.7.11.13">2.9.15.7.11.13</a><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --> | <a href="#x2.9.21">2.9.21</a><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: -->
<!-- ws:end:WikiTextTocRule:82 -->Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on <a class="wiki_link" href="/Chromatic%20pairs">Chromatic pairs</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x2.3.7-Semaphore"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/Semaphore%20and%20Godzilla">Semaphore</a></h2>
 Comma: 49/48<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~8/7~7/6 = 250.385<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 49/48]<br />
Gencom mapping: [&lt;1 2 0 3|, &lt;0 -2 0 -1|]<br />
<br />
Map: [&lt;1 2 3|, &lt;0 -2 -1|]<br />
EDOs: 5, 14, 19, 24, 67c, 91c<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.046 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x2.3.7-Archy"></a><!-- ws:end:WikiTextHeadingRule:4 -->Archy</h2>
 Archy can be thought of as &quot;no-5's <a class="wiki_link" href="/dominant">dominant</a>&quot; or &quot;no-5's <a class="wiki_link" href="/superpyth">superpyth</a>&quot;. The name comes from the fact that it tempers out 64/63, the Archytas comma.<br />
<br />
Comma: 64/63<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 709.321<br />
<br />
Gencom: [2 3/2; 64/63]<br />
Gencom mapping: [&lt;1 1 0 4|, &lt;0 1 0 -2|]<br />
<br />
Map: [&lt;1 2 2|, &lt;0 -1 2|]<br />
EDOs: 5, 12, 17, 22, 27, 137bc<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.713 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x2.3.7-Slendric"></a><!-- ws:end:WikiTextHeadingRule:6 --><a class="wiki_link" href="/Slendric">Slendric</a></h2>
 Comma: 1029/1024<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~8/7 = 233.688<br />
<br />
Gencom: [2 8/7; 1029/1024]<br />
Gencom mapping: [&lt;1 1 0 3|, &lt;0 3 0 -1|]<br />
<br />
Map: [&lt;1 1 3|, &lt;0 3 -1|]<br />
EDOs: 5, 21, 26, 31, 36, 77, 113, 190<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6403 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="x2.3.11"></a><!-- ws:end:WikiTextHeadingRule:8 -->2.3.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x2.3.11-Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:10 -->Neutraltet</h2>
 Neutraltet can be thought of as 2.3.11 version of either <a class="wiki_link" href="/mohajira">mohajira</a> or <a class="wiki_link" href="/maqamic">maqamic</a>, and is the temperament optimizing the <a class="wiki_link" href="/neutral%20tetrad">neutral tetrad</a>.<br />
<br />
Comma: 243/242<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/9 = 350.525<br />
<br />
Gencom: [2 11/9; 243/242]<br />
Gencom mapping: [&lt;1 1 0 0 2|, &lt;0 2 0 0 5|]<br />
<br />
Map: [&lt;1 1 2|, &lt;0 2 5|]<br />
EDOs: 7, 10, 17, 24, 41, 65, 89, 202, 291, 380<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6756 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet10">Ten note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="x2.3.5.11"></a><!-- ws:end:WikiTextHeadingRule:12 -->2.3.5.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x2.3.5.11-Porcupine"></a><!-- ws:end:WikiTextHeadingRule:14 -->Porcupine</h2>
 Commas: 55/54, 100/99<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~10/9 = 164.078<br />
<br />
Gencom: [2 10/9; 55/54, 100/99]<br />
Gencom mapping: [&lt;1 2 3 0 4|, &lt;0 -3 -5 0 -4|]<br />
<br />
Map: [&lt;1 2 3 4|, &lt;0 -3 -5 -4|]<br />
EDOs: 7, 15, 22, 37, 73cd, 95cd, 117bcd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.114 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x2.3.5.11-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mohaha</h2>
 Commas: 81/80, 121/120<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/9 = 348.094<br />
<br />
Gencom: [2 11/9; 81/80 121/120]<br />
Gencom mapping: [&lt;1 1 0 0 2|, &lt;0 2 8 0 5|]<br />
<br />
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
EDOs: 7, 10, 17, 24, 31, 69d, 100d, 131bd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.113 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x2.3.5.11-Mohaha-Music"></a><!-- ws:end:WikiTextHeadingRule:18 -->Music</h3>
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow">Mohaha10ping2</a> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="x2.3.7.11"></a><!-- ws:end:WikiTextHeadingRule:20 -->2.3.7.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="x2.3.7.11-Ennea"></a><!-- ws:end:WikiTextHeadingRule:22 -->Ennea</h2>
 Commas: 41503/41472, 43923/43904<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~99/98 = 17.6258<br />
<br />
Gencom: [2 99/98; 41503/41472, 43923/43904]<br />
Gencom mapping: [&lt;1 14/9 0 25/9 31/9|, &lt;0 2 0 2 1|]<br />
<br />
Sval map: [&lt;9 0 11 24|, &lt;0 2 2 1|]<br />
EDOs: 54, 63, 68, 72, 135, 342, 477, 525, 613, 681, 749, 817, 2159bcd, 3336bcd, 4153bcd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.0857 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="x2.3.7.11-Supra"></a><!-- ws:end:WikiTextHeadingRule:24 -->Supra</h2>
 Commas: 64/63, 99/98<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 707.192<br />
<br />
Gencom: [2 3/2; 64/63 99/98]<br />
Gencom mapping: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]<br />
<br />
Sval map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
EDOs: 5, 12, 17, 39c, 56c<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.421 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:26 -->Skwares</h2>
 Commas: 99/98, 243/242<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 425.244<br />
<br />
Gencom: [2 9/7; 99/98 243/242]<br />
Gencom mapping: [&lt;1 3 0 6 7|, &lt;0 -4 0 -9 -10]]<br />
<br />
Sval map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
EDOs: 14, 17, 31, 48, 79, 127, 206bcd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.457 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x2.3.7.11-Hemif"></a><!-- ws:end:WikiTextHeadingRule:28 -->Hemif</h2>
 Commas: 243/242, 896/891<br />
<br />
POTE generator: ~11/9 = 351.535<br />
<br />
Gencom: [2 11/9; 243/242 896/891]<br />
Gencom mapping: [&lt;1 1 0 -1 2|, &lt;0 2 0 13 5|]<br />
<br />
Sval map: [&lt;1 1 -1 2|, &lt;0 2 13 5|]<br />
EDOs: 7, 17, 41, 58, 99<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: <br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="x2.5.7.11"></a><!-- ws:end:WikiTextHeadingRule:30 -->2.5.7.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="x2.5.7.11-Larry"></a><!-- ws:end:WikiTextHeadingRule:32 -->Larry</h2>
 Commas: 243/242, 4000/3993<br />
Related temperaments: <a class="wiki_link" href="/Gravity%20family#Gravity">gravity</a>, <a class="wiki_link" href="/Gravity%20family#Harry">harry</a><br />
<br />
POTE generator: ~40/27 = 683.166<br />
<br />
Gencom: [2 40/27; 243/242 4000/3993]<br />
Gencom mapping: [&lt;1 5 12 0 12|, &lt;0 -6 -17 0 -15|]<br />
<br />
Map: [&lt;1 5 12 12|, &lt;0 -6 -17 -15|]<br />
EDOs: 7, 58, 65, 137, 202<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: <br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="x2.9.7.11"></a><!-- ws:end:WikiTextHeadingRule:34 -->2.9.7.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="x2.9.7.11-Machine"></a><!-- ws:end:WikiTextHeadingRule:36 -->Machine</h2>
 Commas: 64/63, 99/98<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~8/7 = 214.384<br />
<br />
Gencom: [2 8/7; 64/63 99/98]<br />
Gencom mapping: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]<br />
<br />
<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
EDOs: 5, 6, 11, 17, 28<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: <br />
<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="x2.9.7.11-Apparatus"></a><!-- ws:end:WikiTextHeadingRule:38 -->Apparatus</h2>
 Commas: 41503/41472, 322102/321489<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~77/72 = 115.570<br />
<br />
Gencom: [2 77/72; 41503/41472 322102/321489]<br />
Gencom mapping: [&lt;1 5/2 0 3 5|, &lt;0 -19/2 0 -2 -16|]<br />
<br />
<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 5 3 5|, &lt;0 -19 -2 -16|]<br />
EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: <br />
<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="x2.9.7.11-Mechanism"></a><!-- ws:end:WikiTextHeadingRule:40 -->Mechanism</h2>
 Commas: 896/891, 26411/26244<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 438.465<br />
<br />
Gencom: [2 9/7; 896/891 26411/26244]<br />
Gencom mapping: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]<br />
<br />
<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 5 5 2|, &lt;0 -5 -6 4|]<br />
EDOs: 8, 11, 30, 41, 52<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: <br />
<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="x2.9.15.7.11.13"></a><!-- ws:end:WikiTextHeadingRule:42 -->2.9.15.7.11.13</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)"></a><!-- ws:end:WikiTextHeadingRule:44 -->Stacks (aka 2magic)</h2>
 Commas: 100/99, 105/104, 144/143, 196/195<br />
<br />
POTE generator: ~9/7 = 438.977<br />
<br />
Gencom: [2 9/7; 100/99 105/104 144/143 196/195]<br />
Gencom mapping: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|] <br />
<br />
Sval map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br />
EDOs: 11, 30, 41<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: <br />
<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h3&gt; --><h3 id="toc23"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7.11 stacks"></a><!-- ws:end:WikiTextHeadingRule:46 -->2.9.15.7.11 stacks</h3>
 Commas: 100/99, 225/224, 245/243<br />
<br />
POTE generator: ~9/7 =438.443<br />
<br />
Gencom: [2 9/7; 100/99 225/224 245/243]<br />
Gencom mapping: [&lt;1 5/2 5/2 5 2|, &lt;0 -5/2 -1/2 -6 4|]<br />
<br />
Sval map: [&lt;1 0 2 -1 6|, &lt;0 5 3 6 -4|]<br />
EDOs: 8, 11, 30, 41, 52<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: <br />
<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h3&gt; --><h3 id="toc24"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7 stacks"></a><!-- ws:end:WikiTextHeadingRule:48 -->2.9.15.7 stacks</h3>
 Commas: 225/224, 245/243<br />
<br />
POTE generator: ~9/7 = 438.850<br />
<br />
Gencom: [2 9/7; 225/224 245/243]<br />
Gencom mapping: [&lt;1 5/2 5/2 5|, &lt;0 -5/2 -1/2 -6|]<br />
<br />
Sval map: [&lt;1 0 2 -1|, &lt;0 5 3 6|]<br />
EDOs: 8, 11, 30, 41, 93, 134c, 175c<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: <br />
<br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="x2.9.21"></a><!-- ws:end:WikiTextHeadingRule:50 -->2.9.21</h1>
 <!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="x2.9.21-A-team"></a><!-- ws:end:WikiTextHeadingRule:52 -->A-team</h2>
 Commas: 1029/1024<br />
<br />
POTE generator: ~21/16 = 467.756<br />
<br />
Gencom: [2 21/16; 1029/1024]<br />
Gencom mapping: [&lt;1 1 0 3|, &lt;0 3/2 0 -1/2|]<br />
<br />
Sval map: [&lt;1 2 4|, &lt;0 3 1|]<br />
EDOs: 5, 13, 18, 41, 59, 254c, 313c, 372c, 472c, 490c<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>:</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-10 03:54:41 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-10 14:21:16 UTC</tt>.<br>
-: The original revision id was <tt>351932256</tt>.<br>
+: The original revision id was <tt>352025028</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 103: / Line 103: @@
 Commas: 41503/41472, 43923/43904
-POTE generator: ~99/98 = 17.6258
+[[Lp tuning|POL2 generator]]: ~99/98 = 17.6258
 Gencom: [2 99/98; 41503/41472, 43923/43904]
@@ Line 109: / Line 109: @@
 Sval map: [&lt;9 0 11 24|, &lt;0 2 2 1|]
-EDOs: 54, 63, 72, 135, 342, 477, 1089, 1566
+EDOs: 54, 63, 68, 72, 135, 342, 477, 525, 613, 681, 749, 817, 2159bcd, 3336bcd, 4153bcd
-Badness: 0.00426
+[[Lp tuning#L2 tuning|L2 error]]: 0.0857 cents
 ==Supra==
@@ Line 121: / Line 121: @@
 Sval map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
-EDOs: 5, 12, 17, 39, 56
+EDOs: 5, 12, 17, 39c, 56c
-Badness: 0.00933
+[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents
 ==Skwares==
 Commas: 99/98, 243/242
-POTE generator: ~9/7 = 425.244
+[[POTE tuning|POTE generator]]: ~9/7 = 425.244
 Gencom: [2 9/7; 99/98 243/242]
@@ Line 133: / Line 133: @@
 Sval map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
-EDOs: 14, 17, 31, 48, 79, 127, 206
+EDOs: 14, 17, 31, 48, 79, 127, 206bcd
-Badness: 0.0107
+[[Lp tuning#L2 tuning|L2 error]]: 2.457 cents
 ==Hemif==
@@ Line 146: / Line 146: @@
 Sval map: [&lt;1 1 -1 2|, &lt;0 2 13 5|]
 EDOs: 7, 17, 41, 58, 99
-Badness: 0.0109
+[[Lp tuning#L2 tuning|L2 error]]:
 =2.5.7.11=
@@ Line 161: / Line 161: @@
 Map: [&lt;1 5 12 12|, &lt;0 -6 -17 -15|]
 EDOs: 7, 58, 65, 137, 202
-Badness: 0.0125
+[[Lp tuning#L2 tuning|L2 error]]:
 =2.9.7.11=
@@ Line 175: / Line 175: @@
 [[Smonzos and Svals|Sval map]]: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
 EDOs: 5, 6, 11, 17, 28
-Badness: 0.00233
+[[Lp tuning#L2 tuning|L2 error]]:
 ==Apparatus==
@@ Line 187: / Line 187: @@
 [[Smonzos and Svals|Sval map]]: [&lt;1 5 3 5|, &lt;0 -19 -2 -16|]
 EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623
-Badness: 0.00263
+[[Lp tuning#L2 tuning|L2 error]]:
 ==Mechanism==
@@ Line 199: / Line 199: @@
 [[Smonzos and Svals|Sval map]]: [&lt;1 5 5 2|, &lt;0 -5 -6 4|]
 EDOs: 8, 11, 30, 41, 52
-Badness: 0.00439
+[[Lp tuning#L2 tuning|L2 error]]:
 =2.9.15.7.11.13=
@@ Line 213: / Line 213: @@
 Sval map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
 EDOs: 11, 30, 41
-Badness: 0.00602
+[[Lp tuning#L2 tuning|L2 error]]:
 ===2.9.15.7.11 stacks===
@@ Line 225: / Line 225: @@
 Sval map: [&lt;1 0 2 -1 6|, &lt;0 5 3 6 -4|]
 EDOs: 8, 11, 30, 41, 52
-Badness: 0.00371
+[[Lp tuning#L2 tuning|L2 error]]:
 ===2.9.15.7 stacks===
@@ Line 237: / Line 237: @@
 Sval map: [&lt;1 0 2 -1|, &lt;0 5 3 6|]
 EDOs: 8, 11, 30, 41, 93, 134c, 175c
-Badness: 0.00245
+[[Lp tuning#L2 tuning|L2 error]]:
 =2.9.21=
@@ Line 250: / Line 250: @@
 Sval map: [&lt;1 2 4|, &lt;0 3 1|]
 EDOs: 5, 13, 18, 41, 59, 254c, 313c, 372c, 472c, 490c
-Badness: 0.000246</pre></div>
+[[Lp tuning#L2 tuning|L2 error]]: </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;Subgroup temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:54:&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:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt;&lt;a href="#x2.3.7"&gt;2.3.7&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt;&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt; | &lt;a href="#x2.3.11"&gt;2.3.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt;&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt; | &lt;a href="#x2.3.5.11"&gt;2.3.5.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;!-- ws:start:WikiTextTocRule:62: --&gt;&lt;!-- ws:end:WikiTextTocRule:62 --&gt;&lt;!-- ws:start:WikiTextTocRule:63: --&gt;&lt;!-- ws:end:WikiTextTocRule:63 --&gt;&lt;!-- ws:start:WikiTextTocRule:64: --&gt;&lt;!-- ws:end:WikiTextTocRule:64 --&gt;&lt;!-- ws:start:WikiTextTocRule:65: --&gt; | &lt;a href="#x2.3.7.11"&gt;2.3.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:65 --&gt;&lt;!-- ws:start:WikiTextTocRule:66: --&gt;&lt;!-- ws:end:WikiTextTocRule:66 --&gt;&lt;!-- ws:start:WikiTextTocRule:67: --&gt;&lt;!-- ws:end:WikiTextTocRule:67 --&gt;&lt;!-- ws:start:WikiTextTocRule:68: --&gt;&lt;!-- ws:end:WikiTextTocRule:68 --&gt;&lt;!-- ws:start:WikiTextTocRule:69: --&gt;&lt;!-- ws:end:WikiTextTocRule:69 --&gt;&lt;!-- ws:start:WikiTextTocRule:70: --&gt; | &lt;a href="#x2.5.7.11"&gt;2.5.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:70 --&gt;&lt;!-- ws:start:WikiTextTocRule:71: --&gt;&lt;!-- ws:end:WikiTextTocRule:71 --&gt;&lt;!-- ws:start:WikiTextTocRule:72: --&gt; | &lt;a href="#x2.9.7.11"&gt;2.9.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:72 --&gt;&lt;!-- ws:start:WikiTextTocRule:73: --&gt;&lt;!-- ws:end:WikiTextTocRule:73 --&gt;&lt;!-- ws:start:WikiTextTocRule:74: --&gt;&lt;!-- ws:end:WikiTextTocRule:74 --&gt;&lt;!-- ws:start:WikiTextTocRule:75: --&gt;&lt;!-- ws:end:WikiTextTocRule:75 --&gt;&lt;!-- ws:start:WikiTextTocRule:76: --&gt; | &lt;a href="#x2.9.15.7.11.13"&gt;2.9.15.7.11.13&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:76 --&gt;&lt;!-- ws:start:WikiTextTocRule:77: --&gt;&lt;!-- ws:end:WikiTextTocRule:77 --&gt;&lt;!-- ws:start:WikiTextTocRule:78: --&gt;&lt;!-- ws:end:WikiTextTocRule:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt;&lt;!-- ws:end:WikiTextTocRule:79 --&gt;&lt;!-- ws:start:WikiTextTocRule:80: --&gt; | &lt;a href="#x2.9.21"&gt;2.9.21&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:80 --&gt;&lt;!-- ws:start:WikiTextTocRule:81: --&gt;&lt;!-- ws:end:WikiTextTocRule:81 --&gt;&lt;!-- ws:start:WikiTextTocRule:82: --&gt;
@@ Line 349: / Line 349: @@
   Commas: 41503/41472, 43923/43904&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~99/98 = 17.6258&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~99/98 = 17.6258&lt;br /&gt;
 &lt;br /&gt;
 Gencom: [2 99/98; 41503/41472, 43923/43904]&lt;br /&gt;
@@ Line 355: / Line 355: @@
 &lt;br /&gt;
 Sval map: [&amp;lt;9 0 11 24|, &amp;lt;0 2 2 1|]&lt;br /&gt;
-EDOs: 54, 63, 72, 135, 342, 477, 1089, 1566&lt;br /&gt;
+EDOs: 54, 63, 68, 72, 135, 342, 477, 525, 613, 681, 749, 817, 2159bcd, 3336bcd, 4153bcd&lt;br /&gt;
-Badness: 0.00426&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.0857 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x2.3.7.11-Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Supra&lt;/h2&gt;
@@ Line 367: / Line 367: @@
 &lt;br /&gt;
 Sval map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
-EDOs: 5, 12, 17, 39, 56&lt;br /&gt;
+EDOs: 5, 12, 17, 39c, 56c&lt;br /&gt;
-Badness: 0.00933&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.421 cents&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="x2.3.7.11-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Skwares&lt;/h2&gt;
   Commas: 99/98, 243/242&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~9/7 = 425.244&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~9/7 = 425.244&lt;br /&gt;
 &lt;br /&gt;
 Gencom: [2 9/7; 99/98 243/242]&lt;br /&gt;
@@ Line 379: / Line 379: @@
 &lt;br /&gt;
 Sval map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
-EDOs: 14, 17, 31, 48, 79, 127, 206&lt;br /&gt;
+EDOs: 14, 17, 31, 48, 79, 127, 206bcd&lt;br /&gt;
-Badness: 0.0107&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.457 cents&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="x2.3.7.11-Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Hemif&lt;/h2&gt;
@@ Line 392: / Line 392: @@
 Sval map: [&amp;lt;1 1 -1 2|, &amp;lt;0 2 13 5|]&lt;br /&gt;
 EDOs: 7, 17, 41, 58, 99&lt;br /&gt;
-Badness: 0.0109&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: &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="x2.5.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;2.5.7.11&lt;/h1&gt;
@@ Line 407: / Line 407: @@
 Map: [&amp;lt;1 5 12 12|, &amp;lt;0 -6 -17 -15|]&lt;br /&gt;
 EDOs: 7, 58, 65, 137, 202&lt;br /&gt;
-Badness: 0.0125&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: &lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="x2.9.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;2.9.7.11&lt;/h1&gt;
@@ Line 421: / Line 421: @@
 &lt;a class="wiki_link" href="/Smonzos%20and%20Svals"&gt;Sval map&lt;/a&gt;: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -1 -3|]&lt;br /&gt;
 EDOs: 5, 6, 11, 17, 28&lt;br /&gt;
-Badness: 0.00233&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: &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="x2.9.7.11-Apparatus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Apparatus&lt;/h2&gt;
@@ Line 433: / Line 433: @@
 &lt;a class="wiki_link" href="/Smonzos%20and%20Svals"&gt;Sval map&lt;/a&gt;: [&amp;lt;1 5 3 5|, &amp;lt;0 -19 -2 -16|]&lt;br /&gt;
 EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623&lt;br /&gt;
-Badness: 0.00263&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: &lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="x2.9.7.11-Mechanism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Mechanism&lt;/h2&gt;
@@ Line 445: / Line 445: @@
 &lt;a class="wiki_link" href="/Smonzos%20and%20Svals"&gt;Sval map&lt;/a&gt;: [&amp;lt;1 5 5 2|, &amp;lt;0 -5 -6 4|]&lt;br /&gt;
 EDOs: 8, 11, 30, 41, 52&lt;br /&gt;
-Badness: 0.00439&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: &lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="x2.9.15.7.11.13"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;2.9.15.7.11.13&lt;/h1&gt;
@@ Line 459: / Line 459: @@
 Sval map: [&amp;lt;1 0 2 -1 6 -2|, &amp;lt;0 5 3 6 -4 9|]&lt;br /&gt;
 EDOs: 11, 30, 41&lt;br /&gt;
-Badness: 0.00602&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: &lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc23"&gt;&lt;a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7.11 stacks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;2.9.15.7.11 stacks&lt;/h3&gt;
@@ Line 471: / Line 471: @@
 Sval map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 3 6 -4|]&lt;br /&gt;
 EDOs: 8, 11, 30, 41, 52&lt;br /&gt;
-Badness: 0.00371&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: &lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc24"&gt;&lt;a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7 stacks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;2.9.15.7 stacks&lt;/h3&gt;
@@ Line 483: / Line 483: @@
 Sval map: [&amp;lt;1 0 2 -1|, &amp;lt;0 5 3 6|]&lt;br /&gt;
 EDOs: 8, 11, 30, 41, 93, 134c, 175c&lt;br /&gt;
-Badness: 0.00245&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: &lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="x2.9.21"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;2.9.21&lt;/h1&gt;
@@ Line 496: / Line 496: @@
 Sval map: [&amp;lt;1 2 4|, &amp;lt;0 3 1|]&lt;br /&gt;
 EDOs: 5, 13, 18, 41, 59, 254c, 313c, 372c, 472c, 490c&lt;br /&gt;
-Badness: 0.000246&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;:&lt;/body&gt;&lt;/html&gt;</pre></div>

Subgroup temperaments: Difference between revisions

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