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
[[Tp tuning#T2%20tuning|RMS error]]: 2.523 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
[[Tp tuning#T2%20tuning|RMS error]]: 1.856 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
[[Tp tuning#T2%20tuning|RMS error]]: 0.3202 cents

==Lee==
Comma: 177147/175616

[[Lp tuning|POL2 generator]]: ~81/56 = 633.525

Map: [<1 0 -3|, <0 3 11|]
EDOs: 17, 36, 89, 125, 161, 358, 519b
[[Tp tuning#T2%20tuning|RMS error]]: 0.3519 cents

==Skwares==
Comma: 19683/19208

[[Lp tuning|POL2 generator]]: ~9/7 = 425.365 cents

Map: [<1 3 6|, <0 -4 -9|]
EDOs: 14, 17, 31, 48, 79, 189b, 268bc, 347bc
[[Tp tuning#T2%20tuning|RMS error]]: 1.149 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
[[Tp tuning#T2%20tuning|RMS error]]: 0.3021 cents

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

=2.3.5.11= 

==Porkypine== 
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
[[Tp tuning#T2%20tuning|RMS error]]: 2.287 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, 55, 69d, 100d, 131bd
[[Tp tuning#T2%20tuning|RMS error]]: 1.392 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
[[Tp tuning#T2%20tuning|RMS error]]: 0.0383 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
[[Tp tuning#T2%20tuning|RMS error]]: 1.977 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
[[Tp tuning#T2%20tuning|RMS error]]: 1.099 cents

==Hemif (11 limit)== 
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, 99d
[[Tp tuning#T2%20tuning|RMS error]]: 0.6108 cents

=2.3.7.11.13= 

==Suhajira==
Commas: 64/63, 78/77, 144/143

Gencom: [2 11/9; 64/63 78/77 144/143]
Gencom map: [<1 1 0 4 2 4|, <0 2 0 -4 5 -1|]

[[Tp tuning|POT2 generator]]: ~11/9 = 353.775

Map: [<1 1 4 2 4|, <0 2 -4 5 -1|]
EDOs: 7, 10, 17, 44d, 61cd, 78cd
[[Tp tuning#T2%20tuning|RMS error]]: 1.953 cents

==Hemif== 
Commas: 144/143, 243/242, 364/363
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]], namo

[[Tp tuning|POT2 generator]]: ~11/9 = 351.691

[[Gencom]]: [2 11/9; 144/143 243/242 364/363]
Gencom map: [<1 1 0 -1 2 4|, <0 2 0 13 5 -1|]

Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
EDOs: 7, 10, 17, 24, 41, 58
[[Tp tuning#T2%20tuning|RMS error]]: 0.7167 cents

==Skwares==
Commas: 78/77, 99/98, 243/242

[[Tp tuning|POT2 generator]]: ~9/7 = 424.457

Map: [<1 3 6 7 9|, <0 -4 -9 -10 -15|]
EDOs: 17, 48e, 65de, 82c, 147ce
[[Tp tuning#T2%20tuning|RMS error]]: 1.769 cents

==Leapfrog== 
Commas: 169/168, 352/351, 364/363

[[Lp tuning|POL2 generator]]: ~3/2 = 704.745 cents

Gencom: [2 3/2; 169/169 352/351 364/363]
Gencom mapping: [<1 1 0 -6 -3 -1|, <0 1 0 15 11 8|]

Sval map: [<1 0 -21 -14 -9|, <0 1 15 11 8|]
EDOs: 17, 46, 63
[[Tp tuning#T2%20tuning|RMS error]]: 0.7541 cents

==Bleu== 
Group: 2.3.7.11.13
Commas: 78/77, 99/98, 144/143
Sval name: 9&17

[[Tp tuning|POL2 generator]]: ~13/12 = 139.990

[[Gencom]]: [2 13/12; 78/77 99/98 144/143]
Gencom map: [<1 1 0 2 3 3|, <0 5 0 7 4 6|]

Map: [<1 1 2 3 3|, <0 5 7 4 6|]
EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
[[Tp tuning#T2%20tuning|RMS error]]: 1.752 cents

==Parapyth (Rank 3)== 
Commas: 352/351, 364/363

[[Lp tuning|POL2 tuning]]: <1200.000 1903.856 (2787.774) 3369.907 4154.482 4442.913|

The gencom below gives [[Margo Schulter]]'s favored basis
Gencom: [2 3/2 28/27; 352/351 364/363]
Gencom mapping: [<1 1 0 1 4 6|, <0 1 0 3 -1 -4|, <0 0 0 1 1 1|]

Sval map: [<1 0 0 7 12|, <0 1 0 -4 -7|, <0 0 1 1 1|]
EDOs: 17, 41, 46, 58, 87, 104
[[Tp tuning#T2%20tuning|RMS error]]: 0.3789 cents

=2.3.5.11= 

==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
[[Tp tuning#T2%20tuning|RMS error]]: 0.3025 cents

=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
[[Tp tuning#T2%20tuning|RMS error]]: 1.977 cents

==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
[[Tp tuning#T2%20tuning|RMS error]]: 0.0673 cents

==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
[[Tp tuning#T2%20tuning|RMS error]]: 0.4262 cents

=2.9.15.7.11.13= 

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

[[Lp tuning|POL2 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, 153cdef, 194cdef, 235cdef
[[Tp tuning#T2%20tuning|RMS error]]: 1.540 cents

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

[[Lp tuning|POL2 generator]]: ~9/7 = 438.607

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, 93, 145, 342bce,
[[Tp tuning#T2%20tuning|RMS error]]: 1.226 cents

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

[[Lp tuning|POL2 generator]]: ~9/7 = 439.296

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, 71, 93, 112c, 134c, 175c
[[Tp tuning#T2%20tuning|RMS error]]: 1.074 cents

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

[[Lp tuning|POL2 generator]]: ~21/16 = 467.375

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, 77, 95
[[Tp tuning#T2%20tuning|RMS error]]: 0.3202 cents

=2.3.7/5.11/5.13/5= 
==Historical== 
Subgroup: 2.3.7/5.11/5.13/5
Commas: 364/363, 441/440, 1001/1000

[[Lp tuning|POL2 generator]]: ~21/20 = 83.016

[[Gencom]]: [2 21/20; 364/363 441/440 1001/1000]
Gencom map: [<1 2 -3/4 -3/4 1/4 5/4|, <0 -6 0 7 2 -9|]

Sval map: [<1 2 0 1 2|, <0 -6 7 2 -9|]
EDOs: 14, 29, 72, 101, 130, 159
[[Tp tuning#T2%20tuning|RMS error]]: 0.2562 cents

=2.3.7.11/5.13= 
==Hypnosis== 
Subgroup: 2.3.7.11/5.13
Commas: 169/168, 540/539, 729/728
Related temperament: [[Swetismic temperaments#Hypnos-13-limit|hypnos]], [[Hemifamity temperaments#Tricot-13-limit|tricot]]

[[Gencom]]: [2 13/9; 169/168, 540/539, 729/728]
Gencom map: [<1 0 -4 -3 4 0|, <0 3 13/2 11 -13/2 7|]

Sval map: [<1 0 -3 8 0|, <0 3 11 -13 7|]
EDOs: 17, 36, 118e, 125e, 161e, 197e
[[Tp tuning#T2%20tuning|RMS error]]: 0.5379 cents

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<html><head><title>Subgroup temperaments</title></head><body><!-- ws:start:WikiTextTocRule:80:&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:80 --><!-- ws:start:WikiTextTocRule:81: --><a href="#x2.3.7">2.3.7</a><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --> | <a href="#x2.3.11">2.3.11</a><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --> | <a href="#x2.3.7.11">2.3.7.11</a><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --><!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --><!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --> | <a href="#x2.3.7.11.13">2.3.7.11.13</a><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --><!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --><!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --> | <a href="#x2.9.7.11">2.9.7.11</a><!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --><!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: --><!-- ws:end:WikiTextTocRule:109 --><!-- ws:start:WikiTextTocRule:110: --><!-- ws:end:WikiTextTocRule:110 --><!-- ws:start:WikiTextTocRule:111: --> | <a href="#x2.9.15.7.11.13">2.9.15.7.11.13</a><!-- ws:end:WikiTextTocRule:111 --><!-- ws:start:WikiTextTocRule:112: --><!-- ws:end:WikiTextTocRule:112 --><!-- ws:start:WikiTextTocRule:113: --><!-- ws:end:WikiTextTocRule:113 --><!-- ws:start:WikiTextTocRule:114: --><!-- ws:end:WikiTextTocRule:114 --><!-- ws:start:WikiTextTocRule:115: --> | <a href="#x2.9.21">2.9.21</a><!-- ws:end:WikiTextTocRule:115 --><!-- ws:start:WikiTextTocRule:116: --><!-- ws:end:WikiTextTocRule:116 --><!-- ws:start:WikiTextTocRule:117: --> | <a href="#x2.3.7/5.11/5.13/5">2.3.7/5.11/5.13/5</a><!-- ws:end:WikiTextTocRule:117 --><!-- ws:start:WikiTextTocRule:118: --><!-- ws:end:WikiTextTocRule:118 --><!-- ws:start:WikiTextTocRule:119: --> | <a href="#x2.3.7.11/5.13">2.3.7.11/5.13</a><!-- ws:end:WikiTextTocRule:119 --><!-- ws:start:WikiTextTocRule:120: --><!-- ws:end:WikiTextTocRule:120 --><!-- ws:start:WikiTextTocRule:121: -->
<!-- ws:end:WikiTextTocRule:121 -->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="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.523 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="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.856 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="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3202 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x2.3.7-Lee"></a><!-- ws:end:WikiTextHeadingRule:8 -->Lee</h2>
Comma: 177147/175616<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~81/56 = 633.525<br />
<br />
Map: [&lt;1 0 -3|, &lt;0 3 11|]<br />
EDOs: 17, 36, 89, 125, 161, 358, 519b<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3519 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x2.3.7-Skwares"></a><!-- ws:end:WikiTextHeadingRule:10 -->Skwares</h2>
Comma: 19683/19208<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 425.365 cents<br />
<br />
Map: [&lt;1 3 6|, &lt;0 -4 -9|]<br />
EDOs: 14, 17, 31, 48, 79, 189b, 268bc, 347bc<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.149 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="x2.3.11"></a><!-- ws:end:WikiTextHeadingRule:12 -->2.3.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x2.3.11-Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:14 -->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="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3021 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:16:&lt;h1&gt; --><h1 id="toc8"><a name="x2.3.5.11"></a><!-- ws:end:WikiTextHeadingRule:16 -->2.3.5.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="x2.3.5.11-Porkypine"></a><!-- ws:end:WikiTextHeadingRule:18 -->Porkypine</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="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.287 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="x2.3.5.11-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:20 -->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, 55, 69d, 100d, 131bd<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.392 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc11"><a name="x2.3.5.11-Mohaha-Music"></a><!-- ws:end:WikiTextHeadingRule:22 -->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:24:&lt;h1&gt; --><h1 id="toc12"><a name="x2.3.7.11"></a><!-- ws:end:WikiTextHeadingRule:24 -->2.3.7.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x2.3.7.11-Ennea"></a><!-- ws:end:WikiTextHeadingRule:26 -->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="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.0383 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x2.3.7.11-Supra"></a><!-- ws:end:WikiTextHeadingRule:28 -->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="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:30 -->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="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.099 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="x2.3.7.11-Hemif (11 limit)"></a><!-- ws:end:WikiTextHeadingRule:32 -->Hemif (11 limit)</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, 99d<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6108 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="x2.3.7.11.13"></a><!-- ws:end:WikiTextHeadingRule:34 -->2.3.7.11.13</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="x2.3.7.11.13-Suhajira"></a><!-- ws:end:WikiTextHeadingRule:36 -->Suhajira</h2>
Commas: 64/63, 78/77, 144/143<br />
<br />
Gencom: [2 11/9; 64/63 78/77 144/143]<br />
Gencom map: [&lt;1 1 0 4 2 4|, &lt;0 2 0 -4 5 -1|]<br />
<br />
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 353.775<br />
<br />
Map: [&lt;1 1 4 2 4|, &lt;0 2 -4 5 -1|]<br />
EDOs: 7, 10, 17, 44d, 61cd, 78cd<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.953 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="x2.3.7.11.13-Hemif"></a><!-- ws:end:WikiTextHeadingRule:38 -->Hemif</h2>
 Commas: 144/143, 243/242, 364/363<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments">Hemififths</a>, namo<br />
<br />
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 351.691<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 144/143 243/242 364/363]<br />
Gencom map: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]<br />
<br />
Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
EDOs: 7, 10, 17, 24, 41, 58<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7167 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="x2.3.7.11.13-Skwares"></a><!-- ws:end:WikiTextHeadingRule:40 -->Skwares</h2>
Commas: 78/77, 99/98, 243/242<br />
<br />
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 424.457<br />
<br />
Map: [&lt;1 3 6 7 9|, &lt;0 -4 -9 -10 -15|]<br />
EDOs: 17, 48e, 65de, 82c, 147ce<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.769 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="x2.3.7.11.13-Leapfrog"></a><!-- ws:end:WikiTextHeadingRule:42 -->Leapfrog</h2>
 Commas: 169/168, 352/351, 364/363<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 704.745 cents<br />
<br />
Gencom: [2 3/2; 169/169 352/351 364/363]<br />
Gencom mapping: [&lt;1 1 0 -6 -3 -1|, &lt;0 1 0 15 11 8|]<br />
<br />
Sval map: [&lt;1 0 -21 -14 -9|, &lt;0 1 15 11 8|]<br />
EDOs: 17, 46, 63<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7541 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="x2.3.7.11.13-Bleu"></a><!-- ws:end:WikiTextHeadingRule:44 -->Bleu</h2>
 Group: 2.3.7.11.13<br />
Commas: 78/77, 99/98, 144/143<br />
Sval name: 9&amp;17<br />
<br />
<a class="wiki_link" href="/Tp%20tuning">POL2 generator</a>: ~13/12 = 139.990<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/12; 78/77 99/98 144/143]<br />
Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]<br />
<br />
Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br />
EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a><br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.752 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="x2.3.7.11.13-Parapyth (Rank 3)"></a><!-- ws:end:WikiTextHeadingRule:46 -->Parapyth (Rank 3)</h2>
 Commas: 352/351, 364/363<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 tuning</a>: &lt;1200.000 1903.856 (2787.774) 3369.907 4154.482 4442.913|<br />
<br />
The gencom below gives <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>'s favored basis<br />
Gencom: [2 3/2 28/27; 352/351 364/363]<br />
Gencom mapping: [&lt;1 1 0 1 4 6|, &lt;0 1 0 3 -1 -4|, &lt;0 0 0 1 1 1|]<br />
<br />
Sval map: [&lt;1 0 0 7 12|, &lt;0 1 0 -4 -7|, &lt;0 0 1 1 1|]<br />
EDOs: 17, 41, 46, 58, 87, 104<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3789 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="x2.3.5.11"></a><!-- ws:end:WikiTextHeadingRule:48 -->2.3.5.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="x2.3.5.11-Larry"></a><!-- ws:end:WikiTextHeadingRule:50 -->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="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3025 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:52:&lt;h1&gt; --><h1 id="toc26"><a name="x2.9.7.11"></a><!-- ws:end:WikiTextHeadingRule:52 -->2.9.7.11</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="x2.9.7.11-Machine"></a><!-- ws:end:WikiTextHeadingRule:54 -->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="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:56:&lt;h2&gt; --><h2 id="toc28"><a name="x2.9.7.11-Apparatus"></a><!-- ws:end:WikiTextHeadingRule:56 -->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="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.0673 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="x2.9.7.11-Mechanism"></a><!-- ws:end:WikiTextHeadingRule:58 -->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="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4262 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:60:&lt;h1&gt; --><h1 id="toc30"><a name="x2.9.15.7.11.13"></a><!-- ws:end:WikiTextHeadingRule:60 -->2.9.15.7.11.13</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc31"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)"></a><!-- ws:end:WikiTextHeadingRule:62 -->Stacks (aka 2magic)</h2>
 Commas: 100/99, 105/104, 144/143, 196/195<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~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, 153cdef, 194cdef, 235cdef<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.540 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:64:&lt;h3&gt; --><h3 id="toc32"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7.11 stacks"></a><!-- ws:end:WikiTextHeadingRule:64 -->2.9.15.7.11 stacks</h3>
 Commas: 100/99, 225/224, 245/243<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 438.607<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, 93, 145, 342bce,<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.226 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:66:&lt;h3&gt; --><h3 id="toc33"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7 stacks"></a><!-- ws:end:WikiTextHeadingRule:66 -->2.9.15.7 stacks</h3>
 Commas: 225/224, 245/243<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 439.296<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, 71, 93, 112c, 134c, 175c<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.074 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:68:&lt;h1&gt; --><h1 id="toc34"><a name="x2.9.21"></a><!-- ws:end:WikiTextHeadingRule:68 -->2.9.21</h1>
 <!-- ws:start:WikiTextHeadingRule:70:&lt;h2&gt; --><h2 id="toc35"><a name="x2.9.21-A-team"></a><!-- ws:end:WikiTextHeadingRule:70 -->A-team</h2>
 Commas: 1029/1024<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~21/16 = 467.375<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, 77, 95<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3202 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:72:&lt;h1&gt; --><h1 id="toc36"><a name="x2.3.7/5.11/5.13/5"></a><!-- ws:end:WikiTextHeadingRule:72 -->2.3.7/5.11/5.13/5</h1>
 <!-- ws:start:WikiTextHeadingRule:74:&lt;h2&gt; --><h2 id="toc37"><a name="x2.3.7/5.11/5.13/5-Historical"></a><!-- ws:end:WikiTextHeadingRule:74 -->Historical</h2>
 Subgroup: 2.3.7/5.11/5.13/5<br />
Commas: 364/363, 441/440, 1001/1000<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~21/20 = 83.016<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 21/20; 364/363 441/440 1001/1000]<br />
Gencom map: [&lt;1 2 -3/4 -3/4 1/4 5/4|, &lt;0 -6 0 7 2 -9|]<br />
<br />
Sval map: [&lt;1 2 0 1 2|, &lt;0 -6 7 2 -9|]<br />
EDOs: 14, 29, 72, 101, 130, 159<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2562 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:76:&lt;h1&gt; --><h1 id="toc38"><a name="x2.3.7.11/5.13"></a><!-- ws:end:WikiTextHeadingRule:76 -->2.3.7.11/5.13</h1>
 <!-- ws:start:WikiTextHeadingRule:78:&lt;h2&gt; --><h2 id="toc39"><a name="x2.3.7.11/5.13-Hypnosis"></a><!-- ws:end:WikiTextHeadingRule:78 -->Hypnosis</h2>
 Subgroup: 2.3.7.11/5.13<br />
Commas: 169/168, 540/539, 729/728<br />
Related temperament: <a class="wiki_link" href="/Swetismic%20temperaments#Hypnos-13-limit">hypnos</a>, <a class="wiki_link" href="/Hemifamity%20temperaments#Tricot-13-limit">tricot</a><br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/9; 169/168, 540/539, 729/728]<br />
Gencom map: [&lt;1 0 -4 -3 4 0|, &lt;0 3 13/2 11 -13/2 7|]<br />
<br />
Sval map: [&lt;1 0 -3 8 0|, &lt;0 3 11 -13 7|]<br />
EDOs: 17, 36, 118e, 125e, 161e, 197e<br />
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5379 cents</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>2014-02-20 12:28:21 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-02-20 12:42:06 UTC</tt>.<br>
-: The original revision id was <tt>490782324</tt>.<br>
+: The original revision id was <tt>490785768</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 49: / Line 49: @@
 [[Tp tuning#T2%20tuning|RMS error]]: 0.3202 cents
-==Lie==
+==Lee==
 Comma: 177147/175616
@@ Line 57: / Line 57: @@
 EDOs: 17, 36, 89, 125, 161, 358, 519b
 [[Tp tuning#T2%20tuning|RMS error]]: 0.3519 cents
+==Skwares==
+Comma: 19683/19208
+[[Lp tuning|POL2 generator]]: ~9/7 = 425.365 cents
+Map: [&lt;1 3 6|, &lt;0 -4 -9|]
+EDOs: 14, 17, 31, 48, 79, 189b, 268bc, 347bc
+[[Tp tuning#T2%20tuning|RMS error]]: 1.149 cents
 =2.3.11=
@@ Line 363: / Line 372: @@
 [[Tp tuning#T2%20tuning|RMS error]]: 0.5379 cents</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:78:&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:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt;&lt;a href="#x2.3.7"&gt;2.3.7&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:79 --&gt;&lt;!-- ws:start:WikiTextTocRule:80: --&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;&lt;!-- ws:end:WikiTextTocRule:82 --&gt;&lt;!-- ws:start:WikiTextTocRule:83: --&gt;&lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt; | &lt;a href="#x2.3.11"&gt;2.3.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt;&lt;!-- ws:end:WikiTextTocRule:85 --&gt;&lt;!-- ws:start:WikiTextTocRule:86: --&gt; | &lt;a href="#x2.3.5.11"&gt;2.3.5.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:86 --&gt;&lt;!-- ws:start:WikiTextTocRule:87: --&gt;&lt;!-- ws:end:WikiTextTocRule:87 --&gt;&lt;!-- ws:start:WikiTextTocRule:88: --&gt;&lt;!-- ws:end:WikiTextTocRule:88 --&gt;&lt;!-- ws:start:WikiTextTocRule:89: --&gt;&lt;!-- ws:end:WikiTextTocRule:89 --&gt;&lt;!-- ws:start:WikiTextTocRule:90: --&gt; | &lt;a href="#x2.3.7.11"&gt;2.3.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:90 --&gt;&lt;!-- ws:start:WikiTextTocRule:91: --&gt;&lt;!-- ws:end:WikiTextTocRule:91 --&gt;&lt;!-- ws:start:WikiTextTocRule:92: --&gt;&lt;!-- ws:end:WikiTextTocRule:92 --&gt;&lt;!-- ws:start:WikiTextTocRule:93: --&gt;&lt;!-- ws:end:WikiTextTocRule:93 --&gt;&lt;!-- ws:start:WikiTextTocRule:94: --&gt;&lt;!-- ws:end:WikiTextTocRule:94 --&gt;&lt;!-- ws:start:WikiTextTocRule:95: --&gt; | &lt;a href="#x2.3.7.11.13"&gt;2.3.7.11.13&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:95 --&gt;&lt;!-- ws:start:WikiTextTocRule:96: --&gt;&lt;!-- ws:end:WikiTextTocRule:96 --&gt;&lt;!-- ws:start:WikiTextTocRule:97: --&gt;&lt;!-- ws:end:WikiTextTocRule:97 --&gt;&lt;!-- ws:start:WikiTextTocRule:98: --&gt;&lt;!-- ws:end:WikiTextTocRule:98 --&gt;&lt;!-- ws:start:WikiTextTocRule:99: --&gt;&lt;!-- ws:end:WikiTextTocRule:99 --&gt;&lt;!-- ws:start:WikiTextTocRule:100: --&gt;&lt;!-- ws:end:WikiTextTocRule:100 --&gt;&lt;!-- ws:start:WikiTextTocRule:101: --&gt;&lt;!-- ws:end:WikiTextTocRule:101 --&gt;&lt;!-- ws:start:WikiTextTocRule:102: --&gt; | &lt;a href="#x2.3.5.11"&gt;2.3.5.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:102 --&gt;&lt;!-- ws:start:WikiTextTocRule:103: --&gt;&lt;!-- ws:end:WikiTextTocRule:103 --&gt;&lt;!-- ws:start:WikiTextTocRule:104: --&gt; | &lt;a href="#x2.9.7.11"&gt;2.9.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:104 --&gt;&lt;!-- ws:start:WikiTextTocRule:105: --&gt;&lt;!-- ws:end:WikiTextTocRule:105 --&gt;&lt;!-- ws:start:WikiTextTocRule:106: --&gt;&lt;!-- ws:end:WikiTextTocRule:106 --&gt;&lt;!-- ws:start:WikiTextTocRule:107: --&gt;&lt;!-- ws:end:WikiTextTocRule:107 --&gt;&lt;!-- ws:start:WikiTextTocRule:108: --&gt; | &lt;a href="#x2.9.15.7.11.13"&gt;2.9.15.7.11.13&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:108 --&gt;&lt;!-- ws:start:WikiTextTocRule:109: --&gt;&lt;!-- ws:end:WikiTextTocRule:109 --&gt;&lt;!-- ws:start:WikiTextTocRule:110: --&gt;&lt;!-- ws:end:WikiTextTocRule:110 --&gt;&lt;!-- ws:start:WikiTextTocRule:111: --&gt;&lt;!-- ws:end:WikiTextTocRule:111 --&gt;&lt;!-- ws:start:WikiTextTocRule:112: --&gt; | &lt;a href="#x2.9.21"&gt;2.9.21&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:112 --&gt;&lt;!-- ws:start:WikiTextTocRule:113: --&gt;&lt;!-- ws:end:WikiTextTocRule:113 --&gt;&lt;!-- ws:start:WikiTextTocRule:114: --&gt; | &lt;a href="#x2.3.7/5.11/5.13/5"&gt;2.3.7/5.11/5.13/5&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:114 --&gt;&lt;!-- ws:start:WikiTextTocRule:115: --&gt;&lt;!-- ws:end:WikiTextTocRule:115 --&gt;&lt;!-- ws:start:WikiTextTocRule:116: --&gt; | &lt;a href="#x2.3.7.11/5.13"&gt;2.3.7.11/5.13&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:116 --&gt;&lt;!-- ws:start:WikiTextTocRule:117: --&gt;&lt;!-- ws:end:WikiTextTocRule:117 --&gt;&lt;!-- ws:start:WikiTextTocRule:118: --&gt;
+<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:80:&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:80 --&gt;&lt;!-- ws:start:WikiTextTocRule:81: --&gt;&lt;a href="#x2.3.7"&gt;2.3.7&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:81 --&gt;&lt;!-- ws:start:WikiTextTocRule:82: --&gt;&lt;!-- ws:end:WikiTextTocRule:82 --&gt;&lt;!-- ws:start:WikiTextTocRule:83: --&gt;&lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt;&lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt;&lt;!-- ws:end:WikiTextTocRule:85 --&gt;&lt;!-- ws:start:WikiTextTocRule:86: --&gt;&lt;!-- ws:end:WikiTextTocRule:86 --&gt;&lt;!-- ws:start:WikiTextTocRule:87: --&gt; | &lt;a href="#x2.3.11"&gt;2.3.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:87 --&gt;&lt;!-- ws:start:WikiTextTocRule:88: --&gt;&lt;!-- ws:end:WikiTextTocRule:88 --&gt;&lt;!-- ws:start:WikiTextTocRule:89: --&gt; | &lt;a href="#x2.3.5.11"&gt;2.3.5.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:89 --&gt;&lt;!-- ws:start:WikiTextTocRule:90: --&gt;&lt;!-- ws:end:WikiTextTocRule:90 --&gt;&lt;!-- ws:start:WikiTextTocRule:91: --&gt;&lt;!-- ws:end:WikiTextTocRule:91 --&gt;&lt;!-- ws:start:WikiTextTocRule:92: --&gt;&lt;!-- ws:end:WikiTextTocRule:92 --&gt;&lt;!-- ws:start:WikiTextTocRule:93: --&gt; | &lt;a href="#x2.3.7.11"&gt;2.3.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:93 --&gt;&lt;!-- ws:start:WikiTextTocRule:94: --&gt;&lt;!-- ws:end:WikiTextTocRule:94 --&gt;&lt;!-- ws:start:WikiTextTocRule:95: --&gt;&lt;!-- ws:end:WikiTextTocRule:95 --&gt;&lt;!-- ws:start:WikiTextTocRule:96: --&gt;&lt;!-- ws:end:WikiTextTocRule:96 --&gt;&lt;!-- ws:start:WikiTextTocRule:97: --&gt;&lt;!-- ws:end:WikiTextTocRule:97 --&gt;&lt;!-- ws:start:WikiTextTocRule:98: --&gt; | &lt;a href="#x2.3.7.11.13"&gt;2.3.7.11.13&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:98 --&gt;&lt;!-- ws:start:WikiTextTocRule:99: --&gt;&lt;!-- ws:end:WikiTextTocRule:99 --&gt;&lt;!-- ws:start:WikiTextTocRule:100: --&gt;&lt;!-- ws:end:WikiTextTocRule:100 --&gt;&lt;!-- ws:start:WikiTextTocRule:101: --&gt;&lt;!-- ws:end:WikiTextTocRule:101 --&gt;&lt;!-- ws:start:WikiTextTocRule:102: --&gt;&lt;!-- ws:end:WikiTextTocRule:102 --&gt;&lt;!-- ws:start:WikiTextTocRule:103: --&gt;&lt;!-- ws:end:WikiTextTocRule:103 --&gt;&lt;!-- ws:start:WikiTextTocRule:104: --&gt;&lt;!-- ws:end:WikiTextTocRule:104 --&gt;&lt;!-- ws:start:WikiTextTocRule:105: --&gt; | &lt;a href="#x2.3.5.11"&gt;2.3.5.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:105 --&gt;&lt;!-- ws:start:WikiTextTocRule:106: --&gt;&lt;!-- ws:end:WikiTextTocRule:106 --&gt;&lt;!-- ws:start:WikiTextTocRule:107: --&gt; | &lt;a href="#x2.9.7.11"&gt;2.9.7.11&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:107 --&gt;&lt;!-- ws:start:WikiTextTocRule:108: --&gt;&lt;!-- ws:end:WikiTextTocRule:108 --&gt;&lt;!-- ws:start:WikiTextTocRule:109: --&gt;&lt;!-- ws:end:WikiTextTocRule:109 --&gt;&lt;!-- ws:start:WikiTextTocRule:110: --&gt;&lt;!-- ws:end:WikiTextTocRule:110 --&gt;&lt;!-- ws:start:WikiTextTocRule:111: --&gt; | &lt;a href="#x2.9.15.7.11.13"&gt;2.9.15.7.11.13&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:111 --&gt;&lt;!-- ws:start:WikiTextTocRule:112: --&gt;&lt;!-- ws:end:WikiTextTocRule:112 --&gt;&lt;!-- ws:start:WikiTextTocRule:113: --&gt;&lt;!-- ws:end:WikiTextTocRule:113 --&gt;&lt;!-- ws:start:WikiTextTocRule:114: --&gt;&lt;!-- ws:end:WikiTextTocRule:114 --&gt;&lt;!-- ws:start:WikiTextTocRule:115: --&gt; | &lt;a href="#x2.9.21"&gt;2.9.21&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:115 --&gt;&lt;!-- ws:start:WikiTextTocRule:116: --&gt;&lt;!-- ws:end:WikiTextTocRule:116 --&gt;&lt;!-- ws:start:WikiTextTocRule:117: --&gt; | &lt;a href="#x2.3.7/5.11/5.13/5"&gt;2.3.7/5.11/5.13/5&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:117 --&gt;&lt;!-- ws:start:WikiTextTocRule:118: --&gt;&lt;!-- ws:end:WikiTextTocRule:118 --&gt;&lt;!-- ws:start:WikiTextTocRule:119: --&gt; | &lt;a href="#x2.3.7.11/5.13"&gt;2.3.7.11/5.13&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:119 --&gt;&lt;!-- ws:start:WikiTextTocRule:120: --&gt;&lt;!-- ws:end:WikiTextTocRule:120 --&gt;&lt;!-- ws:start:WikiTextTocRule:121: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:118 --&gt;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 &lt;a class="wiki_link" href="/Chromatic%20pairs"&gt;Chromatic pairs&lt;/a&gt;.&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:121 --&gt;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 &lt;a class="wiki_link" href="/Chromatic%20pairs"&gt;Chromatic pairs&lt;/a&gt;.&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="x2.3.7"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;2.3.7&lt;/h1&gt;
@@ Line 406: / Line 415: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.3202 cents&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="x2.3.7-Lie"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Lie&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x2.3.7-Lee"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Lee&lt;/h2&gt;
 Comma: 177147/175616&lt;br /&gt;
 &lt;br /&gt;
@@ Line 415: / Line 424: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.3519 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="x2.3.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;2.3.11&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x2.3.7-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Skwares&lt;/h2&gt;
+Comma: 19683/19208&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 425.365 cents&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 3 6|, &amp;lt;0 -4 -9|]&lt;br /&gt;
+EDOs: 14, 17, 31, 48, 79, 189b, 268bc, 347bc&lt;br /&gt;
+&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.149 cents&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x2.3.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;2.3.11&lt;/h1&gt;
   &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x2.3.11-Neutraltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Neutraltet&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x2.3.11-Neutraltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Neutraltet&lt;/h2&gt;
   Neutraltet can be thought of as 2.3.11 version of either &lt;a class="wiki_link" href="/mohajira"&gt;mohajira&lt;/a&gt; or &lt;a class="wiki_link" href="/maqamic"&gt;maqamic&lt;/a&gt;, and is the temperament optimizing the &lt;a class="wiki_link" href="/neutral%20tetrad"&gt;neutral tetrad&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
@@ Line 435: / Line 453: @@
 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17"&gt;Seventeen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="x2.3.5.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;2.3.5.11&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="x2.3.5.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;2.3.5.11&lt;/h1&gt;
   &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x2.3.5.11-Porkypine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Porkypine&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x2.3.5.11-Porkypine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Porkypine&lt;/h2&gt;
   Commas: 55/54, 100/99&lt;br /&gt;
 &lt;br /&gt;
@@ Line 449: / Line 467: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 2.287 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x2.3.5.11-Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Mohaha&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x2.3.5.11-Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Mohaha&lt;/h2&gt;
   Commas: 81/80, 121/120&lt;br /&gt;
 &lt;br /&gt;
@@ Line 461: / Line 479: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.392 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="x2.3.5.11-Mohaha-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Music&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc11"&gt;&lt;a name="x2.3.5.11-Mohaha-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Music&lt;/h3&gt;
   &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow"&gt;Mohaha10ping2&lt;/a&gt; by &lt;a class="wiki_link" href="/Billy%20Stiltner"&gt;Billy Stiltner&lt;/a&gt;&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="x2.3.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;2.3.7.11&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="x2.3.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;2.3.7.11&lt;/h1&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-Ennea"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Ennea&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x2.3.7.11-Ennea"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Ennea&lt;/h2&gt;
   Commas: 41503/41472, 43923/43904&lt;br /&gt;
 &lt;br /&gt;
@@ Line 478: / Line 496: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.0383 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-Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Supra&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x2.3.7.11-Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Supra&lt;/h2&gt;
   Commas: 64/63, 99/98&lt;br /&gt;
 &lt;br /&gt;
@@ Line 490: / Line 508: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.977 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-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Skwares&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="x2.3.7.11-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Skwares&lt;/h2&gt;
   Commas: 99/98, 243/242&lt;br /&gt;
 &lt;br /&gt;
@@ Line 502: / Line 520: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.099 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="x2.3.7.11-Hemif (11 limit)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Hemif (11 limit)&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="x2.3.7.11-Hemif (11 limit)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Hemif (11 limit)&lt;/h2&gt;
   Commas: 243/242, 896/891&lt;br /&gt;
 &lt;br /&gt;
@@ Line 514: / Line 532: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.6108 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="x2.3.7.11.13"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;2.3.7.11.13&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="x2.3.7.11.13"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;2.3.7.11.13&lt;/h1&gt;
   &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="x2.3.7.11.13-Suhajira"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Suhajira&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="x2.3.7.11.13-Suhajira"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Suhajira&lt;/h2&gt;
 Commas: 64/63, 78/77, 144/143&lt;br /&gt;
 &lt;br /&gt;
@@ Line 528: / Line 546: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.953 cents&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="x2.3.7.11.13-Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Hemif&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="x2.3.7.11.13-Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Hemif&lt;/h2&gt;
   Commas: 144/143, 243/242, 364/363&lt;br /&gt;
 Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;, namo&lt;br /&gt;
@@ Line 541: / Line 559: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.7167 cents&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="x2.3.7.11.13-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Skwares&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="x2.3.7.11.13-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Skwares&lt;/h2&gt;
 Commas: 78/77, 99/98, 243/242&lt;br /&gt;
 &lt;br /&gt;
@@ Line 550: / Line 568: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.769 cents&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="x2.3.7.11.13-Leapfrog"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Leapfrog&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="x2.3.7.11.13-Leapfrog"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Leapfrog&lt;/h2&gt;
   Commas: 169/168, 352/351, 364/363&lt;br /&gt;
 &lt;br /&gt;
@@ Line 562: / Line 580: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.7541 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="x2.3.7.11.13-Bleu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Bleu&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc22"&gt;&lt;a name="x2.3.7.11.13-Bleu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Bleu&lt;/h2&gt;
   Group: 2.3.7.11.13&lt;br /&gt;
 Commas: 78/77, 99/98, 144/143&lt;br /&gt;
@@ Line 576: / Line 594: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.752 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc22"&gt;&lt;a name="x2.3.7.11.13-Parapyth (Rank 3)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Parapyth (Rank 3)&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc23"&gt;&lt;a name="x2.3.7.11.13-Parapyth (Rank 3)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;Parapyth (Rank 3)&lt;/h2&gt;
   Commas: 352/351, 364/363&lt;br /&gt;
 &lt;br /&gt;
@@ Line 589: / Line 607: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.3789 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="x2.3.5.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;2.3.5.11&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="x2.3.5.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;2.3.5.11&lt;/h1&gt;
   &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc24"&gt;&lt;a name="x2.3.5.11-Larry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;Larry&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc25"&gt;&lt;a name="x2.3.5.11-Larry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Larry&lt;/h2&gt;
   Commas: 243/242, 4000/3993&lt;br /&gt;
 Related temperaments: &lt;a class="wiki_link" href="/Gravity%20family#Gravity"&gt;gravity&lt;/a&gt;, &lt;a class="wiki_link" href="/Gravity%20family#Harry"&gt;harry&lt;/a&gt;&lt;br /&gt;
@@ Line 604: / Line 622: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.3025 cents&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="x2.9.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;2.9.7.11&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="x2.9.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;2.9.7.11&lt;/h1&gt;
   &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc26"&gt;&lt;a name="x2.9.7.11-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;Machine&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc27"&gt;&lt;a name="x2.9.7.11-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;Machine&lt;/h2&gt;
   Commas: 64/63, 99/98&lt;br /&gt;
 &lt;br /&gt;
@@ Line 618: / Line 636: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.977 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc27"&gt;&lt;a name="x2.9.7.11-Apparatus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;Apparatus&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc28"&gt;&lt;a name="x2.9.7.11-Apparatus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;Apparatus&lt;/h2&gt;
   Commas: 41503/41472, 322102/321489&lt;br /&gt;
 &lt;br /&gt;
@@ Line 630: / Line 648: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.0673 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc28"&gt;&lt;a name="x2.9.7.11-Mechanism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;Mechanism&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:58:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc29"&gt;&lt;a name="x2.9.7.11-Mechanism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:58 --&gt;Mechanism&lt;/h2&gt;
   Commas: 896/891, 26411/26244&lt;br /&gt;
 &lt;br /&gt;
@@ Line 642: / Line 660: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.4262 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:58:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="x2.9.15.7.11.13"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:58 --&gt;2.9.15.7.11.13&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:60:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc30"&gt;&lt;a name="x2.9.15.7.11.13"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&gt;2.9.15.7.11.13&lt;/h1&gt;
   &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:60:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc30"&gt;&lt;a name="x2.9.15.7.11.13-Stacks (aka 2magic)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&gt;Stacks (aka 2magic)&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc31"&gt;&lt;a name="x2.9.15.7.11.13-Stacks (aka 2magic)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:62 --&gt;Stacks (aka 2magic)&lt;/h2&gt;
   Commas: 100/99, 105/104, 144/143, 196/195&lt;br /&gt;
 &lt;br /&gt;
@@ Line 656: / Line 674: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.540 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc31"&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:62 --&gt;2.9.15.7.11 stacks&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:64:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc32"&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:64 --&gt;2.9.15.7.11 stacks&lt;/h3&gt;
   Commas: 100/99, 225/224, 245/243&lt;br /&gt;
 &lt;br /&gt;
@@ Line 668: / Line 686: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.226 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:64:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc32"&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:64 --&gt;2.9.15.7 stacks&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:66:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc33"&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:66 --&gt;2.9.15.7 stacks&lt;/h3&gt;
   Commas: 225/224, 245/243&lt;br /&gt;
 &lt;br /&gt;
@@ Line 680: / Line 698: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 1.074 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:66:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="x2.9.21"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:66 --&gt;2.9.21&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:68:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc34"&gt;&lt;a name="x2.9.21"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:68 --&gt;2.9.21&lt;/h1&gt;
-  &lt;!-- ws:start:WikiTextHeadingRule:68:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc34"&gt;&lt;a name="x2.9.21-A-team"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:68 --&gt;A-team&lt;/h2&gt;
+  &lt;!-- ws:start:WikiTextHeadingRule:70:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc35"&gt;&lt;a name="x2.9.21-A-team"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:70 --&gt;A-team&lt;/h2&gt;
   Commas: 1029/1024&lt;br /&gt;
 &lt;br /&gt;
@@ Line 693: / Line 711: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.3202 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:70:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc35"&gt;&lt;a name="x2.3.7/5.11/5.13/5"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:70 --&gt;2.3.7/5.11/5.13/5&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:72:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc36"&gt;&lt;a name="x2.3.7/5.11/5.13/5"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:72 --&gt;2.3.7/5.11/5.13/5&lt;/h1&gt;
-  &lt;!-- ws:start:WikiTextHeadingRule:72:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc36"&gt;&lt;a name="x2.3.7/5.11/5.13/5-Historical"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:72 --&gt;Historical&lt;/h2&gt;
+  &lt;!-- ws:start:WikiTextHeadingRule:74:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc37"&gt;&lt;a name="x2.3.7/5.11/5.13/5-Historical"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:74 --&gt;Historical&lt;/h2&gt;
   Subgroup: 2.3.7/5.11/5.13/5&lt;br /&gt;
 Commas: 364/363, 441/440, 1001/1000&lt;br /&gt;
@@ Line 707: / Line 725: @@
 &lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.2562 cents&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:74:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="x2.3.7.11/5.13"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:74 --&gt;2.3.7.11/5.13&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:76:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc38"&gt;&lt;a name="x2.3.7.11/5.13"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:76 --&gt;2.3.7.11/5.13&lt;/h1&gt;
-  &lt;!-- ws:start:WikiTextHeadingRule:76:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc38"&gt;&lt;a name="x2.3.7.11/5.13-Hypnosis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:76 --&gt;Hypnosis&lt;/h2&gt;
+  &lt;!-- ws:start:WikiTextHeadingRule:78:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc39"&gt;&lt;a name="x2.3.7.11/5.13-Hypnosis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:78 --&gt;Hypnosis&lt;/h2&gt;
   Subgroup: 2.3.7.11/5.13&lt;br /&gt;
 Commas: 169/168, 540/539, 729/728&lt;br /&gt;

Subgroup temperaments: Difference between revisions

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