Chromatic pairs: Difference between revisions

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**Imported revision 351884336 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 351902260 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2012-07-09 20:47:51 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-09 22:59:41 UTC</tt>.<br>
: The original revision id was <tt>351884336</tt>.<br>
: The original revision id was <tt>351902260</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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[[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
[[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]
=Sentry=
Group: 2.5/3.9/7
Commas: 245/243
Svalname: 3&amp;5
Related temperaments: sensi
[[Lp tuning|POL2 generator]]: ~9/7 = 440.902
[[Gencom]]: [2 9/7; 245/243]
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]
Map: [&lt;1 0 0|, &lt;0 2 1|]
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc
[[Lp tuning#L2 tuning|L2 error]]: 1.421 cents
[[xenharmonic/sentry5|Five note haplotonic scale]]
[[xenharmonic/sentry8|Eight note albitonic scale]]
[[xenharmonic/sentry11|Eleven note note chromatic scale]]


=Garibaldi=  
=Garibaldi=  
Line 605: Line 624:
[[xenharmonic/myna15|Fifteen note chromatic scale]]
[[xenharmonic/myna15|Fifteen note chromatic scale]]


=Skwares=  
=Lovecraft=  
Subgroup: 2.3.7.11
Group: 2.11.13
Commas: 99/98, 243/242
Commas: 1352/1331
Related temperament: [[xenharmonic/Meantone family|squares]]


[[Lp tuning|POL2 generator]]: ~9/7 = 425.244
[[Lp tuning|POL2 generator]]: ~13/11 = 279.318


[[Gencom]]: [2 9/7; 99/98 243/242]
[[Gencom]]: [2 13/11; 1352/1331]
Gencom map: [&lt;1 3 0 6 7|, &lt;0 -4 0 -9 -10|]
Gencom map: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
Map: [&lt;1 1 0|, &lt;0 2 3|]
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd
EDOS: 13, 30, 43, 73, 116b
[[Lp tuning#L2 tuning|L2 error]]: 2.457 cents
[[Lp tuning#L2 tuning|L2 error]]: 2.070 cents


[[image:skwares_206edo.png]]
[[image:lovecraft_116edo.png]]


[[xenharmonic/skwares8|Eight note albitonic scale]]
[[xenharmonic/lovecraft5|Five note haplotonic scale]]
[[xenharmonic/skwares11|Eleven note mega albitonic scale]]
[[xenharmonic/lovecraft9|Nine note albitonic scale]]
[[xenharmonic/skwares14|Fourteen note chromatic scale]]
[[xenharmonic/lovecraft13|Thirteen note chromatic scale]]


=Magic=  
=Greeley=  
Group: 2.3.5.7.11
Subgroup: 2.5/3.7/3.11/3
Commas: 100/99, 225/224, 245/243
Commas: 121/120, 126/125
Val name: 19&amp;22


[[Lp tuning|POL2 generator]]: ~5/4 = 380.696
[[Lp tuning|POL2 generator]]: ~11/10 = 155.776
Related temperament: [[Porcupine family#Opossum|Opossum]]
[[Gencom]]: [2 11/10; 121/120 126/125]
Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]


[[Gencom]]: [2 5/4; 100/99 225/224 245/243]
Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
Gencom map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd
[[Lp tuning#L2 tuning|L2 error]]: 2.313 cents


Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
[[image:greeley_100edo.png]]
EDOs: 19, 22, 41, 104, 145
[[Lp tuning#L2 tuning|L2 error]]: 2.741 cents


[[image:xenharmonic/magic_145edo.jpg]]
[[xenharmonic/greeley8|Eight note albitonic scale]]
 
[[xenharmonic/greeley15|Fifteen note chromatic scale]]
[[xenharmonic/magic7|Seven note haplotonic scale]]
[[xenharmonic/magic10|Ten note albitonic scale]]
[[xenharmonic/magic13|Thirteen note chromatic scale]]
[[xenharmonic/magic16|Sixteen note mega chromatic scale]]


==Music==  
==Music==  
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]////&lt;/span&gt; [[@http://www.chrisvaisvil.com/|Chris Vaisvil]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]////&lt;/span&gt;&lt;/span&gt; by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15


=Meantone=  
=Mothwelltri=  
Group: 2.3.5.7
Group: 2.7/3.11
Commas: 81/80, 126/125
Comma: 99/98
Val name: 12&amp;19
Svalname: 1&amp;4
Related temperament: Orwell


[[Lp tuning|POL2 generator]]: ~3/2 = 696.495
[[Lp tuning|POL2 generator]]: ~7/6 = 273.174


[[Gencom]]: [2 3/2; 81/80 126/125]
[[Gencom]]: [2 7/6; 99/98]
Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]
Gencom map: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]


Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
Map: [&lt;1 0 1|, &lt;0 1 2|]
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc
[[Lp tuning#L2 tuning|L2 error]]: 2.763 cents
[[Lp tuning#L2 tuning|L2 error]]: 2.380 cents


[[image:meantone_31edo.jpg]]
[[xenharmonic/mothwelltri5|Five note haplotonic scale]]
[[xenharmonic/mothwelltri9|Nine note albitonic scale]]
[[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]


[[xenharmonic/meantone5|Five note haplotonic scale]]
=Skwares=
[[xenharmonic/meantone7|Seven note albitonic scale]]
Subgroup: 2.3.7.11
[[xenharmonic/meantone12|Twelve note chromatic scale]]
Commas: 99/98, 243/242
Related temperament: [[xenharmonic/Meantone family|squares]]


=Sensi=
[[Lp tuning|POL2 generator]]: ~9/7 = 425.244
Group: 2.3.5.7
Commas: 126/125, 245/243
Val name: 19&amp;27


[[Lp tuning|POL2 generator]]: ~9/7 = 443.383
[[Gencom]]: [2 9/7; 99/98 243/242]
Gencom map: [&lt;1 3 0 6 7|, &lt;0 -4 0 -9 -10|]


[[Gencom]]: [2 9/7; 126/125 245/243]
Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd
[[Lp tuning#L2 tuning|L2 error]]: 2.457 cents


Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
[[image:skwares_206edo.png]]
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
[[Lp tuning#L2 tuning|L2 error]]: 2.647 cents


[[image:xenharmonic/sensi_46edo.jpg]]
[[xenharmonic/skwares8|Eight note albitonic scale]]
[[xenharmonic/skwares11|Eleven note mega albitonic scale]]
[[xenharmonic/skwares14|Fourteen note chromatic scale]]


[[xenharmonic/sensi5|Five note haplotonic scale]]
=Orwell=
[[xenharmonic/sensi8|Eight note albitonic scale]]
Group: 2.3.5.7.11
[[xenharmonic/sensi11|Eleven note mega albitonic scale]]
Commas: 99/98, 121/120, 176/175
[[xenharmonic/sensi19|Nineteen note chromatic scale]]
Val name: 9&amp;22


=Greeley=
[[Lp tuning|POL2 generator]]: ~7/6 = 271.426
Subgroup: 2.5/3.7/3.11/3
Commas: 121/120, 126/125


[[Lp tuning|POL2 generator]]: ~11/10 = 155.776
[[Gencom]]: [2 7/6; 99/98 121/120 176/175]
Related temperament: [[Porcupine family#Opossum|Opossum]]
Gencom map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
[[Gencom]]: [2 11/10; 121/120 126/125]
Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd
EDOs: 9, 22, 31, 53, 84e
[[Lp tuning#L2 tuning|L2 error]]: 2.313 cents
[[Lp tuning#L2 tuning|L2 error]]: 2.574 cents


[[image:greeley_100edo.png]]
[[image:xenharmonic/orwell_84edo.png]]


[[xenharmonic/greeley8|Eight note albitonic scale]]
[[xenharmonic/orwell5|Five note haplotonic scale]]
[[xenharmonic/greeley15|Fifteen note chromatic scale]]
[[xenharmonic/orwell9|Nine note albitonic scale]]
 
[[xenharmonic/orwell13|Thirteen note chromatic scale]]
==Music==
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]////&lt;/span&gt;&lt;/span&gt; by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15


=Semidim=  
=Semidim=  
Line 730: Line 742:
[[xenharmonic/semidim13|Thirteen note chromatic scale]]
[[xenharmonic/semidim13|Thirteen note chromatic scale]]


=Orwell=  
=Sensi=  
Group: 2.3.5.7.11
Group: 2.3.5.7
Commas: 99/98, 121/120, 176/175
Commas: 126/125, 245/243
Val name: 9&amp;22
Val name: 19&amp;27


[[Lp tuning|POL2 generator]]: ~7/6 = 271.426
[[Lp tuning|POL2 generator]]: ~9/7 = 443.383


[[Gencom]]: [2 7/6; 99/98 121/120 176/175]
[[Gencom]]: [2 9/7; 126/125 245/243]
Gencom map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]


Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
EDOs: 9, 22, 31, 53, 84e
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
[[Lp tuning#L2 tuning|L2 error]]: 2.574 cents
[[Lp tuning#L2 tuning|L2 error]]: 2.647 cents


[[image:xenharmonic/orwell_84edo.png]]
[[image:xenharmonic/sensi_46edo.jpg]]


[[xenharmonic/orwell5|Five note haplotonic scale]]
[[xenharmonic/sensi5|Five note haplotonic scale]]
[[xenharmonic/orwell9|Nine note albitonic scale]]
[[xenharmonic/sensi8|Eight note albitonic scale]]
[[xenharmonic/orwell13|Thirteen note chromatic scale]]
[[xenharmonic/sensi11|Eleven note mega albitonic scale]]
[[xenharmonic/sensi19|Nineteen note chromatic scale]]


=Magicaltet=  
=Magicaltet=  
Line 768: Line 781:
[[xenharmonic/magicaltet15|Fifteen note mega scale]]
[[xenharmonic/magicaltet15|Fifteen note mega scale]]


=Sentry=  
=Magic=  
Group: 2.5/3.9/7
Group: 2.3.5.7.11
Commas: 245/243
Commas: 100/99, 225/224, 245/243
Svalname: 3&amp;5
Val name: 19&amp;22
Related temperaments: sensi


[[Lp tuning|POL2 generator]]: ~9/7 = 440.902
[[Lp tuning|POL2 generator]]: ~5/4 = 380.696


[[Gencom]]: [2 9/7; 245/243]
[[Gencom]]: [2 5/4; 100/99 225/224 245/243]
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]
Gencom map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]


Map: [&lt;1 0 0|, &lt;0 2 1|]
Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc
EDOs: 19, 22, 41, 104, 145
[[Lp tuning#L2 tuning|L2 error]]: 1.421 cents
[[Lp tuning#L2 tuning|L2 error]]: 2.741 cents


[[xenharmonic/sentry5|Five note haplotonic scale]]
[[image:xenharmonic/magic_145edo.jpg]]
[[xenharmonic/sentry8|Eight note albitonic scale]]
[[xenharmonic/sentry11|Eleven note note chromatic scale]]


=Mothwelltri=
[[xenharmonic/magic7|Seven note haplotonic scale]]
Group: 2.7/3.11
[[xenharmonic/magic10|Ten note albitonic scale]]
Comma: 99/98
[[xenharmonic/magic13|Thirteen note chromatic scale]]
Svalname: 1&amp;4
[[xenharmonic/magic16|Sixteen note mega chromatic scale]]
Related temperament: Orwell


[[Lp tuning|POL2 generator]]: ~7/6 = 273.174
==Music==
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]////&lt;/span&gt; [[@http://www.chrisvaisvil.com/|Chris Vaisvil]]


[[Gencom]]: [2 7/6; 99/98]
=Meantone=
Gencom map: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]
Group: 2.3.5.7
Commas: 81/80, 126/125
Val name: 12&amp;19


Map: [&lt;1 0 1|, &lt;0 1 2|]
[[Lp tuning|POL2 generator]]: ~3/2 = 696.495
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc
[[Lp tuning#L2 tuning|L2 error]]: 2.380 cents


[[xenharmonic/mothwelltri5|Five note haplotonic scale]]
[[Gencom]]: [2 3/2; 81/80 126/125]
[[xenharmonic/mothwelltri9|Nine note albitonic scale]]
Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]
[[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]


=Lovecraft=
Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
Group: 2.11.13
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
Commas: 1352/1331
[[Lp tuning#L2 tuning|L2 error]]: 2.763 cents


[[Lp tuning|POL2 generator]]: ~13/11 = 279.318
[[image:meantone_31edo.jpg]]


[[Gencom]]: [2 13/11; 1352/1331]
[[xenharmonic/meantone5|Five note haplotonic scale]]
Gencom map: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]
[[xenharmonic/meantone7|Seven note albitonic scale]]
[[xenharmonic/meantone12|Twelve note chromatic scale]]


Map: [&lt;1 1 0|, &lt;0 2 3|]
=Mohaha=
EDOS: 13, 30, 43, 73, 116b
Subgroup: 2.3.5.11
[[Lp tuning#L2 tuning|L2 error]]: 2.070 cents
Commas: 81/80, 121/120
Related temperament: [[xenharmonic/Meantone family|mohajira]]


[[image:lovecraft_116edo.png]]
[[Lp tuning|POL2 generator]]: ~11/9 = 348.094


[[xenharmonic/lovecraft5|Five note haplotonic scale]]
[[Gencom]]: [2 11/9; 81/80 121/120]
[[xenharmonic/lovecraft9|Nine note albitonic scale]]
Gencom map: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]
[[xenharmonic/lovecraft13|Thirteen note chromatic scale]]


=Bleu=
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
Group: 2.3.7.11.13
EDOs: 24, 31, 69d, 100d, 131bd
Commas: 78/77, 99/98, 144/143
[[Lp tuning#L2 tuning|L2 error]]: 3.113 cents
Sval name: 9&amp;17


[[Lp tuning|POL2 generator]]: ~13/12 = 139.990
[[image:mohaha_131edo.png]]


[[Gencom]]: [2 13/12; 78/77 99/98 144/143]
[[xenharmonic/mohaha7|Seven note albitonic scale]]
Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]
[[xenharmonic/mohaha10|Ten note chromatic scale]]


Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
===Music===
EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]]//// by [[Billy Stiltner]]
[[Lp tuning#L2 tuning|L2 error]]: 4.292 cents


[[image:blue_60edo.png]]
=Tutone=
Subgroup: 2.9.5.7.11
Commas: 81/80, 99/98, 126/125
Related temperament: [[xenharmonic/Meantone family|meantone]]


[[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[Lp tuning|POL2 generator]]: ~9/8 = 193.937
[[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]


=Mohaha=
[[Gencom]]: [2 9/8; 81/80 99/98 126/125]
Subgroup: 2.3.5.11
Gencom map: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]
Commas: 81/80, 121/120
Related temperament: [[xenharmonic/Meantone family|mohajira]]


[[Lp tuning|POL2 generator]]: ~11/9 = 348.094
Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
EDOs: 25, 31, 68b, 99b
[[Lp tuning#L2 tuning|L2 error]]: 3.218 cents


[[Gencom]]: [2 11/9; 81/80 121/120]
[[xenharmonic/tutone6|Six note haplotonic scale]]
Gencom map: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]
[[xenharmonic/tutone7|Seven note albitonic scale]]
[[xenharmonic/tutone13|Thirteen note chromatic scale]]


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
[[image:tutone_99edo.png]]
EDOs: 24, 31, 69d, 100d, 131bd
[[Lp tuning#L2 tuning|L2 error]]: 3.113 cents


[[image:mohaha_131edo.png]]
=Stacks=
Subgroup: 2.9.15.7.11.13
Commas: 100/99, 105/104, 144/143, 196/195
Svalname: 11&amp;30


[[xenharmonic/mohaha7|Seven note albitonic scale]]
[[Lp tuning|POL2 generator]]: ~9/7 = 439.146
[[xenharmonic/mohaha10|Ten note chromatic scale]]


===Music===
[[Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]]//// by [[Billy Stiltner]]
Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]
 
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
[[Lp tuning#L2 tuning|L2 error]]: 3.772 cents
 
[[xenharmonic/stacks5|Five note haplotonic scale]]
[[xenharmonic/stacks8|Eight note albitonic scale]]
[[xenharmonic/stacks11|Eleven note note chromatic scale]]
[[xenharmonic/stacks19|Nineteen note note mega chromatic scale]]
 
=Bleu=  
Group: 2.3.7.11.13
Commas: 78/77, 99/98, 144/143
Sval name: 9&amp;17
 
[[Lp tuning|POL2 generator]]: ~13/12 = 139.990
 
[[Gencom]]: [2 13/12; 78/77 99/98 144/143]
Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]
 
Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
[[Lp tuning#L2 tuning|L2 error]]: 4.292 cents
 
[[image:blue_60edo.png]]
 
[[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]


==Mohoho==  
==Mohoho==  
Line 880: Line 919:
[[Lp tuning#L2 tuning|L2 error]]: 4.829 cents
[[Lp tuning#L2 tuning|L2 error]]: 4.829 cents


=Stacks=  
=Leantone=  
Subgroup: 2.9.15.7.11.13
Subgroup: 2.9.5.7.11
Commas: 100/99, 105/104, 144/143, 196/195
Commas: 45/44, 56/55, 81/80
Svalname: 11&amp;30
Related temperament: [[meanenneadecal]]


[[Lp tuning|POL2 generator]]: ~9/7 = 439.146
[[Lp tuning|POL2 generator]]: ~9/8 = 192.500


[[Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
[[Gencom]]: [2 9/8; 45/44 56/55 81/80]
Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]
Gencom map: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]


Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
[[Lp tuning#L2 tuning|L2 error]]: 3.772 cents
[[Lp tuning#L2 tuning|L2 error]]: 8.680 cents


[[xenharmonic/stacks5|Five note haplotonic scale]]
[[image:leantone_81edo.png]]
[[xenharmonic/stacks8|Eight note albitonic scale]]
[[xenharmonic/stacks11|Eleven note note chromatic scale]]
[[xenharmonic/stacks19|Nineteen note note mega chromatic scale]]


=Tutone=
[[xenharmonic/leantone6|Six note haplotonic scale]]
Subgroup: 2.9.5.7.11
[[xenharmonic/leantone7|Seven note albitonic scale]]
Commas: 81/80, 99/98, 126/125
[[xenharmonic/leantone13|Thirteen note chromatic scale]]
Related temperament: [[xenharmonic/Meantone family|meantone]]


[[Lp tuning|POL2 generator]]: ~9/8 = 193.937
=Score=
Subgroup: 2.7.11.13
Commas: 343/338, 847/832


[[Gencom]]: [2 9/8; 81/80 99/98 126/125]
[[Lp tuning|POL2 generator]]: ~11/8 = 540.099
Gencom map: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
[[Gencom]]: [2 11/8; 343/338 847/832]
EDOs: 25, 31, 68b, 99b
Gencom map: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]
[[Lp tuning#L2 tuning|L2 error]]: 3.218 cents


[[xenharmonic/tutone6|Six note haplotonic scale]]
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
[[xenharmonic/tutone7|Seven note albitonic scale]]
EDOs: 5, 7, 9, 11, 20
[[xenharmonic/tutone13|Thirteen note chromatic scale]]
[[Lp tuning#L2 tuning|L2 error]]: 3.141 cents


[[image:tutone_99edo.png]]
[[image:xenharmonic/score_20edo.jpg]]


=Leantone=
[[xenharmonic/score5|Five note haplotonic scale]]
Subgroup: 2.9.5.7.11
[[xenharmonic/score7|Seven note albitonic scale]]
Commas: 45/44, 56/55, 81/80
[[xenharmonic/score9|Nine note mega albitonic scale]]
Related temperament: [[meanenneadecal]]
[[xenharmonic/score11|Eleven note chromatic scale]]


[[Lp tuning|POL2 generator]]: ~9/8 = 192.500
=Supra=
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[xenharmonic/suprapyth|suprapyth]]


[[Gencom]]: [2 9/8; 45/44 56/55 81/80]
[[Lp tuning|POL2 generator]]: ~3/2 = 707.192
Gencom map: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
[[Gencom]]: [2 3/2; 64/63 99/98]
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
Gencom map: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]
[[Lp tuning#L2 tuning|L2 error]]: 8.680 cents


[[image:leantone_81edo.png]]
Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents


[[xenharmonic/leantone6|Six note haplotonic scale]]
[[image:supra_56edo.png]]
[[xenharmonic/leantone7|Seven note albitonic scale]]
[[xenharmonic/leantone13|Thirteen note chromatic scale]]


=Score=
[[xenharmonic/supra7|Seven note albitonic scale]]
Subgroup: 2.7.11.13
[[xenharmonic/supra12|Twelve note chromatic scale]]
Commas: 343/338, 847/832


[[Lp tuning|POL2 generator]]: ~11/8 = 540.099
==Supraphon==
Subgroup: 2.3.7.11.13
Commas: 64/63, 78/77, 99/98


[[Gencom]]: [2 11/8; 343/338 847/832]
[[Lp tuning|POL2 generator]]: ~3/2 = 706.137
Gencom map: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
[[Gencom]]: [2 3/2; 64/63 78/77 99/98]
EDOs: 5, 7, 9, 11, 20
Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]
[[Lp tuning#L2 tuning|L2 error]]: 3.141 cents


[[image:xenharmonic/score_20edo.jpg]]
Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
EDOs: 5, 7, 12, 17
[[Lp tuning#L2 tuning|L2 error]]: 5.132 cents


[[xenharmonic/score5|Five note haplotonic scale]]
==Machine==  
[[xenharmonic/score7|Seven note albitonic scale]]
Subgroup: 2.9.7.11
[[xenharmonic/score9|Nine note mega albitonic scale]]
[[xenharmonic/score11|Eleven note chromatic scale]]
 
=Supra=  
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Commas: 64/63, 99/98
Related temperament: [[xenharmonic/suprapyth|suprapyth]]


[[Lp tuning|POL2 generator]]: ~3/2 = 707.192
[[Lp tuning|POL2 generator]]: ~9/8 = 214.384


[[Gencom]]: [2 3/2; 64/63 99/98]
[[Gencom]]: [2 9/8; 64/63 99/98]
Gencom map: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]
Gencom map: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
EDOs: 5, 6, 11, 17, 28
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents


[[image:supra_56edo.png]]
[[image:machine_28edo.png]]
 
[[xenharmonic/machine5|Five note haplotonic scale]]
[[xenharmonic/machine6|Six note albitonic scale]]
[[xenharmonic/machine11|Eleven note chromatic scale]]


[[xenharmonic/supra7|Seven note albitonic scale]]
=Antikythera=
[[xenharmonic/supra12|Twelve note chromatic scale]]
Subgroup: 2.9.5.7
Commas: 50/49, 64/63
Related temperament: [[xenharmonic/pajara|pajara]]


==Supraphon==
[[Lp tuning|POL2 generator]]: ~8/7 = 214.095
Subgroup: 2.3.7.11.13
Commas: 64/63, 78/77, 99/98


[[Lp tuning|POL2 generator]]: ~3/2 = 706.137
[[Gencom]]: [7/5 8/7; 50/49 64/63]
Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]


[[Gencom]]: [2 3/2; 64/63 78/77 99/98]
Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]
EDOS: 4, 6, 10, 16, 22, 28
[[Lp tuning#L2 tuning|L2 error]]: 5.145 cents


Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
[[image:antikythera_28edo.png]]
EDOs: 5, 7, 12, 17
[[Lp tuning#L2 tuning|L2 error]]: 5.132 cents


==Machine==
[[xenharmonic/antikythera6|Six note haplotonic scale]]
Subgroup: 2.9.7.11
[[xenharmonic/antikythera10|Ten note albitonic scale]]
Commas: 64/63, 99/98
[[xenharmonic/antikythera16|Sixteen note chromatic scale]]


[[Lp tuning|POL2 generator]]: ~9/8 = 214.384
=Deutone=
Subgroup: 2.9.5.7.13
Commas: 65/64, 81/80, 91/90
Related temperament: [[xenharmonic/Meantone family|meanpop]]


[[Gencom]]: [2 9/8; 64/63 99/98]
[[Lp tuning|POL2 generator]]: ~9/8 = 191.059
Gencom map: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]


Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
[[Gencom]]: [2 9/8; 65/64 81/80 91/90]
EDOs: 5, 6, 11, 17, 28
Gencom map: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents


[[image:machine_28edo.png]]
Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
EDOs: 6, 7, 13, 19, 25e, 44de
[[Lp tuning#L2 tuning|L2 error]]: 4.906 cents


[[xenharmonic/machine5|Five note haplotonic scale]]
[[image:deutone_44edo.png]]
[[xenharmonic/machine6|Six note albitonic scale]]
[[xenharmonic/machine11|Eleven note chromatic scale]]


=Antikythera=
[[xenharmonic/deutone6|Six note haplotonic scale]]
Subgroup: 2.9.5.7
[[xenharmonic/deutone7|seven note albitonic scale]]
Commas: 50/49, 64/63
[[xenharmonic/deutone13|Thirteen note chromatic scale]]
Related temperament: [[xenharmonic/pajara|pajara]]


[[Lp tuning|POL2 generator]]: ~8/7 = 214.095
=Semaphore=
Subgroup: 2.3.7
Comma: 49/48


[[Gencom]]: [7/5 8/7; 50/49 64/63]
[[Lp tuning|POL2 generator]]: ~7/6 = 250.385
Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]


Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
[[Gencom]]: [2 7/6; 49/48]
EDOS: 4, 6, 10, 16, 22, 28
Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]
[[Lp tuning#L2 tuning|L2 error]]: 5.145 cents


[[image:antikythera_28edo.png]]
Map: [&lt;1 0 2|, &lt;0 2 1|]
EDOs: 5, 9, 14, 19, 24, 67c, 91c
[[Lp tuning#L2 tuning|L2 error]]: 5.046 cents


[[xenharmonic/antikythera6|Six note haplotonic scale]]
[[image:semaphore_24edo.png]]
[[xenharmonic/antikythera10|Ten note albitonic scale]]
[[xenharmonic/antikythera16|Sixteen note chromatic scale]]


=Deutone=
[[xenharmonic/semiphore5|Five note haplotonic scale]]
Subgroup: 2.9.5.7.13
[[xenharmonic/semiphore9|Nine note albitonic scale]]
Commas: 65/64, 81/80, 91/90
[[xenharmonic/semiphore14|Fourteen note chromatic scale]]
Related temperament: [[xenharmonic/Meantone family|meanpop]]


[[Lp tuning|POL2 generator]]: ~9/8 = 191.059
=Augment=
Subgroup: 2.5.7.11
Commas: 56/55, 128/125
Related temperament: [[xenharmonic/Augmented family|augmented]]


[[Gencom]]: [2 9/8; 65/64 81/80 91/90]
[[Lp tuning|POL2 generator]]: ~8/7 = 228.275
Gencom map: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]


Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
[[Gencom]]: [5/4 8/7; 56/55 128/125]
EDOs: 6, 7, 13, 19, 25e, 44de
Gencom map: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]
[[Lp tuning#L2 tuning|L2 error]]: 4.906 cents


[[image:deutone_44edo.png]]
Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
EDOs: 3, 6, 9, 15, 21
[[Lp tuning#L2 tuning|L2 error]]: 5.415 cents


[[xenharmonic/deutone6|Six note haplotonic scale]]
[[image:augment_21edo.png]]
[[xenharmonic/deutone7|seven note albitonic scale]]
[[xenharmonic/deutone13|Thirteen note chromatic scale]]


=Semaphore=
[[xenharmonic/augment6|Six note haplotonic scale]]
Subgroup: 2.3.7
[[xenharmonic/augment9|Nine note albitonic scale]]
Comma: 49/48
[[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div>
 
<h4>Original HTML content:</h4>
[[Lp tuning|POL2 generator]]: ~7/6 = 250.385
<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;Chromatic pairs&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:123:&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:123 --&gt;&lt;!-- ws:start:WikiTextTocRule:124: --&gt;&lt;a href="#Definitions"&gt;Definitions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:124 --&gt;&lt;!-- ws:start:WikiTextTocRule:125: --&gt; | &lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:125 --&gt;&lt;!-- ws:start:WikiTextTocRule:126: --&gt; | &lt;a href="#Petrtri"&gt;Petrtri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:126 --&gt;&lt;!-- ws:start:WikiTextTocRule:127: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:127 --&gt;&lt;!-- ws:start:WikiTextTocRule:128: --&gt; | &lt;a href="#Orgone"&gt;Orgone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:128 --&gt;&lt;!-- ws:start:WikiTextTocRule:129: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:129 --&gt;&lt;!-- ws:start:WikiTextTocRule:130: --&gt; | &lt;a href="#Marveltwintri"&gt;Marveltwintri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:130 --&gt;&lt;!-- ws:start:WikiTextTocRule:131: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:131 --&gt;&lt;!-- ws:start:WikiTextTocRule:132: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:132 --&gt;&lt;!-- ws:start:WikiTextTocRule:133: --&gt;&lt;!-- ws:end:WikiTextTocRule:133 --&gt;&lt;!-- ws:start:WikiTextTocRule:134: --&gt; | &lt;a href="#Slendric"&gt;Slendric&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:134 --&gt;&lt;!-- ws:start:WikiTextTocRule:135: --&gt;&lt;!-- ws:end:WikiTextTocRule:135 --&gt;&lt;!-- ws:start:WikiTextTocRule:136: --&gt; | &lt;a href="#Neutraltet"&gt;Neutraltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:136 --&gt;&lt;!-- ws:start:WikiTextTocRule:137: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:137 --&gt;&lt;!-- ws:start:WikiTextTocRule:138: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:138 --&gt;&lt;!-- ws:start:WikiTextTocRule:139: --&gt; | &lt;a href="#Penta"&gt;Penta&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:139 --&gt;&lt;!-- ws:start:WikiTextTocRule:140: --&gt; | &lt;a href="#Marveltri"&gt;Marveltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:140 --&gt;&lt;!-- ws:start:WikiTextTocRule:141: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:141 --&gt;&lt;!-- ws:start:WikiTextTocRule:142: --&gt; | &lt;a href="#Shoe"&gt;Shoe&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:142 --&gt;&lt;!-- ws:start:WikiTextTocRule:143: --&gt; | &lt;a href="#Guanyintet"&gt;Guanyintet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:143 --&gt;&lt;!-- ws:start:WikiTextTocRule:144: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:144 --&gt;&lt;!-- ws:start:WikiTextTocRule:145: --&gt; | &lt;a href="#Sentry"&gt;Sentry&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:145 --&gt;&lt;!-- ws:start:WikiTextTocRule:146: --&gt; | &lt;a href="#Garibaldi"&gt;Garibaldi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:146 --&gt;&lt;!-- ws:start:WikiTextTocRule:147: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:147 --&gt;&lt;!-- ws:start:WikiTextTocRule:148: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:148 --&gt;&lt;!-- ws:start:WikiTextTocRule:149: --&gt; | &lt;a href="#Photia"&gt;Photia&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:149 --&gt;&lt;!-- ws:start:WikiTextTocRule:150: --&gt; | &lt;a href="#Mabila"&gt;Mabila&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:150 --&gt;&lt;!-- ws:start:WikiTextTocRule:151: --&gt; | &lt;a href="#Silver"&gt;Silver&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:151 --&gt;&lt;!-- ws:start:WikiTextTocRule:152: --&gt; | &lt;a href="#Starlingtet"&gt;Starlingtet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:152 --&gt;&lt;!-- ws:start:WikiTextTocRule:153: --&gt; | &lt;a href="#Gariberttet"&gt;Gariberttet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:153 --&gt;&lt;!-- ws:start:WikiTextTocRule:154: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:154 --&gt;&lt;!-- ws:start:WikiTextTocRule:155: --&gt;&lt;!-- ws:end:WikiTextTocRule:155 --&gt;&lt;!-- ws:start:WikiTextTocRule:156: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:156 --&gt;&lt;!-- ws:start:WikiTextTocRule:157: --&gt; | &lt;a href="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:157 --&gt;&lt;!-- ws:start:WikiTextTocRule:158: --&gt; | &lt;a href="#Lovecraft"&gt;Lovecraft&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:158 --&gt;&lt;!-- ws:start:WikiTextTocRule:159: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:159 --&gt;&lt;!-- ws:start:WikiTextTocRule:160: --&gt;&lt;!-- ws:end:WikiTextTocRule:160 --&gt;&lt;!-- ws:start:WikiTextTocRule:161: --&gt; | &lt;a href="#Mothwelltri"&gt;Mothwelltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:161 --&gt;&lt;!-- ws:start:WikiTextTocRule:162: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:162 --&gt;&lt;!-- ws:start:WikiTextTocRule:163: --&gt; | &lt;a href="#Orwell"&gt;Orwell&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:163 --&gt;&lt;!-- ws:start:WikiTextTocRule:164: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:164 --&gt;&lt;!-- ws:start:WikiTextTocRule:165: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:165 --&gt;&lt;!-- ws:start:WikiTextTocRule:166: --&gt; | &lt;a href="#Magicaltet"&gt;Magicaltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:166 --&gt;&lt;!-- ws:start:WikiTextTocRule:167: --&gt; | &lt;a href="#Magic"&gt;Magic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:167 --&gt;&lt;!-- ws:start:WikiTextTocRule:168: --&gt;&lt;!-- ws:end:WikiTextTocRule:168 --&gt;&lt;!-- ws:start:WikiTextTocRule:169: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:169 --&gt;&lt;!-- ws:start:WikiTextTocRule:170: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:170 --&gt;&lt;!-- ws:start:WikiTextTocRule:171: --&gt;&lt;!-- ws:end:WikiTextTocRule:171 --&gt;&lt;!-- ws:start:WikiTextTocRule:172: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:172 --&gt;&lt;!-- ws:start:WikiTextTocRule:173: --&gt; | &lt;a href="#Stacks"&gt;Stacks&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:173 --&gt;&lt;!-- ws:start:WikiTextTocRule:174: --&gt; | &lt;a href="#Bleu"&gt;Bleu&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:174 --&gt;&lt;!-- ws:start:WikiTextTocRule:175: --&gt;&lt;!-- ws:end:WikiTextTocRule:175 --&gt;&lt;!-- ws:start:WikiTextTocRule:176: --&gt; | &lt;a href="#Leantone"&gt;Leantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:176 --&gt;&lt;!-- ws:start:WikiTextTocRule:177: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:177 --&gt;&lt;!-- ws:start:WikiTextTocRule:178: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:178 --&gt;&lt;!-- ws:start:WikiTextTocRule:179: --&gt;&lt;!-- ws:end:WikiTextTocRule:179 --&gt;&lt;!-- ws:start:WikiTextTocRule:180: --&gt;&lt;!-- ws:end:WikiTextTocRule:180 --&gt;&lt;!-- ws:start:WikiTextTocRule:181: --&gt; | &lt;a href="#Antikythera"&gt;Antikythera&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:181 --&gt;&lt;!-- ws:start:WikiTextTocRule:182: --&gt; | &lt;a href="#Deutone"&gt;Deutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:182 --&gt;&lt;!-- ws:start:WikiTextTocRule:183: --&gt; | &lt;a href="#Semaphore"&gt;Semaphore&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:183 --&gt;&lt;!-- ws:start:WikiTextTocRule:184: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:184 --&gt;&lt;!-- ws:start:WikiTextTocRule:185: --&gt;
 
&lt;!-- ws:end:WikiTextTocRule:185 --&gt;&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/11052942?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;11052942&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://mediaplayer.yahoo.com/js"&gt;
[[Gencom]]: [2 7/6; 49/48]
&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]
&lt;hr /&gt;
 
&lt;br /&gt;
Map: [&lt;1 0 2|, &lt;0 2 1|]
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Definitions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Definitions&lt;/h1&gt;
EDOs: 5, 9, 14, 19, 24, 67c, 91c
By a &lt;em&gt;chromatic pair&lt;/em&gt; is meant a pair of &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales"&gt;MOS&lt;/a&gt; in some rank two temperament (which may often be a &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups"&gt;subgroup temperament&lt;/a&gt;) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &amp;quot;albitonic&amp;quot; from the Latin word for &amp;quot;white&amp;quot;. Also included at times are &amp;quot;haplotonic&amp;quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing &lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 error&lt;/a&gt;, which is an appropriate error measure for subgroups as well as full p-limit groups.&lt;br /&gt;
[[Lp tuning#L2 tuning|L2 error]]: 5.046 cents
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Terrain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Terrain&lt;/h1&gt;
[[image:semaphore_24edo.png]]
Subgroup: 2.9/5.9/7&lt;br /&gt;
 
Commas: 250047/250000&lt;br /&gt;
[[xenharmonic/semiphore5|Five note haplotonic scale]]
Sval name: 6&amp;amp;21&lt;br /&gt;
[[xenharmonic/semiphore9|Nine note albitonic scale]]
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
[[xenharmonic/semiphore14|Fourteen note chromatic scale]]
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~10/9 = 182.461&lt;br /&gt;
=Augment=
&lt;br /&gt;
Subgroup: 2.5.7.11
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [63/50 10/9; 250047/250000]&lt;br /&gt;
Commas: 56/55, 128/125
Gencom map: [&amp;lt;3 10/9 -7/9 2/9|, &amp;lt;0 -2/3 -1/3 2/3|]&lt;br /&gt;
Related temperament: [[xenharmonic/Augmented family|augmented]]
 
[[Lp tuning|POL2 generator]]: ~8/7 = 228.275
 
[[Gencom]]: [5/4 8/7; 56/55 128/125]
Gencom map: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]
 
Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
EDOs: 3, 6, 9, 15, 21
[[Lp tuning#L2 tuning|L2 error]]: 5.415 cents
 
[[image:augment_21edo.png]]
 
[[xenharmonic/augment6|Six note haplotonic scale]]
[[xenharmonic/augment9|Nine note albitonic scale]]
[[xenharmonic/augment12|Twelve note chromatic scale]]</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;Chromatic pairs&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:123:&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:123 --&gt;&lt;!-- ws:start:WikiTextTocRule:124: --&gt;&lt;a href="#Definitions"&gt;Definitions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:124 --&gt;&lt;!-- ws:start:WikiTextTocRule:125: --&gt; | &lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:125 --&gt;&lt;!-- ws:start:WikiTextTocRule:126: --&gt; | &lt;a href="#Petrtri"&gt;Petrtri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:126 --&gt;&lt;!-- ws:start:WikiTextTocRule:127: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:127 --&gt;&lt;!-- ws:start:WikiTextTocRule:128: --&gt; | &lt;a href="#Orgone"&gt;Orgone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:128 --&gt;&lt;!-- ws:start:WikiTextTocRule:129: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:129 --&gt;&lt;!-- ws:start:WikiTextTocRule:130: --&gt; | &lt;a href="#Marveltwintri"&gt;Marveltwintri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:130 --&gt;&lt;!-- ws:start:WikiTextTocRule:131: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:131 --&gt;&lt;!-- ws:start:WikiTextTocRule:132: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:132 --&gt;&lt;!-- ws:start:WikiTextTocRule:133: --&gt;&lt;!-- ws:end:WikiTextTocRule:133 --&gt;&lt;!-- ws:start:WikiTextTocRule:134: --&gt; | &lt;a href="#Slendric"&gt;Slendric&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:134 --&gt;&lt;!-- ws:start:WikiTextTocRule:135: --&gt;&lt;!-- ws:end:WikiTextTocRule:135 --&gt;&lt;!-- ws:start:WikiTextTocRule:136: --&gt; | &lt;a href="#Neutraltet"&gt;Neutraltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:136 --&gt;&lt;!-- ws:start:WikiTextTocRule:137: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:137 --&gt;&lt;!-- ws:start:WikiTextTocRule:138: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:138 --&gt;&lt;!-- ws:start:WikiTextTocRule:139: --&gt; | &lt;a href="#Penta"&gt;Penta&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:139 --&gt;&lt;!-- ws:start:WikiTextTocRule:140: --&gt; | &lt;a href="#Marveltri"&gt;Marveltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:140 --&gt;&lt;!-- ws:start:WikiTextTocRule:141: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:141 --&gt;&lt;!-- ws:start:WikiTextTocRule:142: --&gt; | &lt;a href="#Shoe"&gt;Shoe&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:142 --&gt;&lt;!-- ws:start:WikiTextTocRule:143: --&gt; | &lt;a href="#Guanyintet"&gt;Guanyintet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:143 --&gt;&lt;!-- ws:start:WikiTextTocRule:144: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:144 --&gt;&lt;!-- ws:start:WikiTextTocRule:145: --&gt; | &lt;a href="#Garibaldi"&gt;Garibaldi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:145 --&gt;&lt;!-- ws:start:WikiTextTocRule:146: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:146 --&gt;&lt;!-- ws:start:WikiTextTocRule:147: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:147 --&gt;&lt;!-- ws:start:WikiTextTocRule:148: --&gt; | &lt;a href="#Photia"&gt;Photia&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:148 --&gt;&lt;!-- ws:start:WikiTextTocRule:149: --&gt; | &lt;a href="#Mabila"&gt;Mabila&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:149 --&gt;&lt;!-- ws:start:WikiTextTocRule:150: --&gt; | &lt;a href="#Silver"&gt;Silver&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:150 --&gt;&lt;!-- ws:start:WikiTextTocRule:151: --&gt; | &lt;a href="#Starlingtet"&gt;Starlingtet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:151 --&gt;&lt;!-- ws:start:WikiTextTocRule:152: --&gt; | &lt;a href="#Gariberttet"&gt;Gariberttet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:152 --&gt;&lt;!-- ws:start:WikiTextTocRule:153: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:153 --&gt;&lt;!-- ws:start:WikiTextTocRule:154: --&gt;&lt;!-- ws:end:WikiTextTocRule:154 --&gt;&lt;!-- ws:start:WikiTextTocRule:155: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:155 --&gt;&lt;!-- ws:start:WikiTextTocRule:156: --&gt; | &lt;a href="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:156 --&gt;&lt;!-- ws:start:WikiTextTocRule:157: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:157 --&gt;&lt;!-- ws:start:WikiTextTocRule:158: --&gt; | &lt;a href="#Magic"&gt;Magic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:158 --&gt;&lt;!-- ws:start:WikiTextTocRule:159: --&gt;&lt;!-- ws:end:WikiTextTocRule:159 --&gt;&lt;!-- ws:start:WikiTextTocRule:160: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:160 --&gt;&lt;!-- ws:start:WikiTextTocRule:161: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:161 --&gt;&lt;!-- ws:start:WikiTextTocRule:162: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:162 --&gt;&lt;!-- ws:start:WikiTextTocRule:163: --&gt;&lt;!-- ws:end:WikiTextTocRule:163 --&gt;&lt;!-- ws:start:WikiTextTocRule:164: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:164 --&gt;&lt;!-- ws:start:WikiTextTocRule:165: --&gt; | &lt;a href="#Orwell"&gt;Orwell&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:165 --&gt;&lt;!-- ws:start:WikiTextTocRule:166: --&gt; | &lt;a href="#Magicaltet"&gt;Magicaltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:166 --&gt;&lt;!-- ws:start:WikiTextTocRule:167: --&gt; | &lt;a href="#Sentry"&gt;Sentry&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:167 --&gt;&lt;!-- ws:start:WikiTextTocRule:168: --&gt; | &lt;a href="#Mothwelltri"&gt;Mothwelltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:168 --&gt;&lt;!-- ws:start:WikiTextTocRule:169: --&gt; | &lt;a href="#Lovecraft"&gt;Lovecraft&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:169 --&gt;&lt;!-- ws:start:WikiTextTocRule:170: --&gt; | &lt;a href="#Bleu"&gt;Bleu&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:170 --&gt;&lt;!-- ws:start:WikiTextTocRule:171: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:171 --&gt;&lt;!-- ws:start:WikiTextTocRule:172: --&gt;&lt;!-- ws:end:WikiTextTocRule:172 --&gt;&lt;!-- ws:start:WikiTextTocRule:173: --&gt;&lt;!-- ws:end:WikiTextTocRule:173 --&gt;&lt;!-- ws:start:WikiTextTocRule:174: --&gt; | &lt;a href="#Stacks"&gt;Stacks&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:174 --&gt;&lt;!-- ws:start:WikiTextTocRule:175: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:175 --&gt;&lt;!-- ws:start:WikiTextTocRule:176: --&gt; | &lt;a href="#Leantone"&gt;Leantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:176 --&gt;&lt;!-- ws:start:WikiTextTocRule:177: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:177 --&gt;&lt;!-- ws:start:WikiTextTocRule:178: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:178 --&gt;&lt;!-- ws:start:WikiTextTocRule:179: --&gt;&lt;!-- ws:end:WikiTextTocRule:179 --&gt;&lt;!-- ws:start:WikiTextTocRule:180: --&gt;&lt;!-- ws:end:WikiTextTocRule:180 --&gt;&lt;!-- ws:start:WikiTextTocRule:181: --&gt; | &lt;a href="#Antikythera"&gt;Antikythera&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:181 --&gt;&lt;!-- ws:start:WikiTextTocRule:182: --&gt; | &lt;a href="#Deutone"&gt;Deutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:182 --&gt;&lt;!-- ws:start:WikiTextTocRule:183: --&gt; | &lt;a href="#Semaphore"&gt;Semaphore&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:183 --&gt;&lt;!-- ws:start:WikiTextTocRule:184: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:184 --&gt;&lt;!-- ws:start:WikiTextTocRule:185: --&gt;
&lt;!-- ws:end:WikiTextTocRule:185 --&gt;&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/11052942?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;11052942&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://mediaplayer.yahoo.com/js"&gt;
&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
&lt;hr /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Definitions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Definitions&lt;/h1&gt;
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
By a &lt;em&gt;chromatic pair&lt;/em&gt; is meant a pair of &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales"&gt;MOS&lt;/a&gt; in some rank two temperament (which may often be a &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups"&gt;subgroup temperament&lt;/a&gt;) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &amp;quot;albitonic&amp;quot; from the Latin word for &amp;quot;white&amp;quot;. Also included at times are &amp;quot;haplotonic&amp;quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing &lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 error&lt;/a&gt;, which is an appropriate error measure for subgroups as well as full p-limit groups.&lt;br /&gt;
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.0169 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Terrain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Terrain&lt;/h1&gt;
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.&lt;br /&gt;
Subgroup: 2.9/5.9/7&lt;br /&gt;
Commas: 250047/250000&lt;br /&gt;
Sval name: 6&amp;amp;21&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~10/9 = 182.461&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [63/50 10/9; 250047/250000]&lt;br /&gt;
Gencom map: [&amp;lt;3 10/9 -7/9 2/9|, &amp;lt;0 -2/3 -1/3 2/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.0169 cents&lt;br /&gt;
&lt;br /&gt;
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:187:&amp;lt;img src=&amp;quot;/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png" alt="terrain_3558edo.png" title="terrain_3558edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:187 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:187:&amp;lt;img src=&amp;quot;/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png" alt="terrain_3558edo.png" title="terrain_3558edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:187 --&gt;&lt;br /&gt;
Line 1,470: Line 1,470:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19"&gt;roulette19&lt;/a&gt; - nineteen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale"&gt;mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19"&gt;roulette19&lt;/a&gt; - nineteen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale"&gt;mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:43:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:43 --&gt;Garibaldi&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:43:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Sentry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:43 --&gt;Sentry&lt;/h1&gt;
  Group: 2.3.5.7&lt;br /&gt;
  Group: 2.5/3.9/7&lt;br /&gt;
Commas: 225/224, 3125/3087&lt;br /&gt;
Commas: 245/243&lt;br /&gt;
Val name: 12&amp;amp;29&lt;br /&gt;
Svalname: 3&amp;amp;5&lt;br /&gt;
Related temperaments: sensi&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 702.085&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 440.902&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 225/224 3125/3087]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 245/243]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 11], &amp;lt;0 1 -8 -14|]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0|, &amp;lt;0 0 2 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0|, &amp;lt;0 2 1|]&lt;br /&gt;
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.421 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry11"&gt;Eleven note note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:45:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:45 --&gt;Garibaldi&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 225/224, 3125/3087&lt;br /&gt;
Val name: 12&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 702.085&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 225/224 3125/3087]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 11], &amp;lt;0 1 -8 -14|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 25|, &amp;lt;0 1 -8 -14|]&lt;br /&gt;
Map: [&amp;lt;1 0 15 25|, &amp;lt;0 1 -8 -14|]&lt;br /&gt;
Line 1,489: Line 1,508:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:45:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:45 --&gt;Radon&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:47:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:47 --&gt;Radon&lt;/h1&gt;
  Subgroup: 2.3.7.11&lt;br /&gt;
  Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 896/891, 1029/1024&lt;br /&gt;
Commas: 896/891, 1029/1024&lt;br /&gt;
Line 1,510: Line 1,529:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:47:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:47 --&gt;Baldy&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:49:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:49 --&gt;Baldy&lt;/h1&gt;
  Subgroup: 2.9.5.7.13&lt;br /&gt;
  Subgroup: 2.9.5.7.13&lt;br /&gt;
Commas: 225/224, 325/324, 640/637&lt;br /&gt;
Commas: 225/224, 325/324, 640/637&lt;br /&gt;
Line 1,531: Line 1,550:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17"&gt;baldy17&lt;/a&gt; - seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17"&gt;baldy17&lt;/a&gt; - seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:49:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:49 --&gt;Photia&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:51:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:51 --&gt;Photia&lt;/h1&gt;
  Subgroup: 2.3.5.17.19&lt;br /&gt;
  Subgroup: 2.3.5.17.19&lt;br /&gt;
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
Line 1,551: Line 1,570:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:51:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Mabila"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:51 --&gt;Mabila&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:53:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="Mabila"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:53 --&gt;Mabila&lt;/h1&gt;
  Subgroup: 2.5.7&lt;br /&gt;
  Subgroup: 2.5.7&lt;br /&gt;
Comma: 1071875/1048576&lt;br /&gt;
Comma: 1071875/1048576&lt;br /&gt;
Line 1,571: Line 1,590:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:53:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="Silver"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:53 --&gt;Silver&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:55:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc27"&gt;&lt;a name="Silver"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:55 --&gt;Silver&lt;/h1&gt;
  Subgroup: 2.5.7.13.17&lt;br /&gt;
  Subgroup: 2.5.7.13.17&lt;br /&gt;
Commas: 170/169, 640/637, 5525/5488&lt;br /&gt;
Commas: 170/169, 640/637, 5525/5488&lt;br /&gt;
Line 1,591: Line 1,610:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver17"&gt;silver17&lt;/a&gt; - seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver17"&gt;silver17&lt;/a&gt; - seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:55:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc27"&gt;&lt;a name="Starlingtet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:55 --&gt;Starlingtet&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:57:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Starlingtet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:57 --&gt;Starlingtet&lt;/h1&gt;
  Group: 2.5/3.7/3&lt;br /&gt;
  Group: 2.5/3.7/3&lt;br /&gt;
Comma: 126/125&lt;br /&gt;
Comma: 126/125&lt;br /&gt;
Line 1,609: Line 1,628:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:57:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Gariberttet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:57 --&gt;Gariberttet&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:59:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="Gariberttet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:59 --&gt;Gariberttet&lt;/h1&gt;
  Subgroup: 2.5/3.7/3.13/11&lt;br /&gt;
  Subgroup: 2.5/3.7/3.13/11&lt;br /&gt;
Commas: 275/273, 847/845&lt;br /&gt;
Commas: 275/273, 847/845&lt;br /&gt;
Line 1,627: Line 1,646:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:59:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="Indium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:59 --&gt;Indium&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:61:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc30"&gt;&lt;a name="Indium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:61 --&gt;Indium&lt;/h1&gt;
  Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
  Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Commas: 3025/3024, 3125/3087&lt;br /&gt;
Commas: 3025/3024, 3125/3087&lt;br /&gt;
Line 1,646: Line 1,665:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:61:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc30"&gt;&lt;a name="Indium-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:61 --&gt;Music&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:63:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc31"&gt;&lt;a name="Indium-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:63 --&gt;Music&lt;/h2&gt;
  &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow"&gt;The Cry of Indium&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; (in Indium 17) by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; =&amp;gt; &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank"&gt;details&lt;/a&gt;&lt;br /&gt;
  &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow"&gt;The Cry of Indium&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; (in Indium 17) by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; =&amp;gt; &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank"&gt;details&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:63:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc31"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:63 --&gt;Hemif&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:65:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:65 --&gt;Hemif&lt;/h1&gt;
  Subgroup: 2.3.7.11.13&lt;br /&gt;
  Subgroup: 2.3.7.11.13&lt;br /&gt;
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
Line 1,669: Line 1,688:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:65:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Myna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:65 --&gt;Myna&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:67:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Myna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:67 --&gt;Myna&lt;/h1&gt;
  Group: 2.3.5.7&lt;br /&gt;
  Group: 2.3.5.7&lt;br /&gt;
Commas: 126/125, 1728/1715&lt;br /&gt;
Commas: 126/125, 1728/1715&lt;br /&gt;
Line 1,689: Line 1,708:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:67:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:67 --&gt;Skwares&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:69:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc34"&gt;&lt;a name="Lovecraft"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:69 --&gt;Lovecraft&lt;/h1&gt;
  Subgroup: 2.3.7.11&lt;br /&gt;
  Group: 2.11.13&lt;br /&gt;
Commas: 99/98, 243/242&lt;br /&gt;
Commas: 1352/1331&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 425.244&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/11 = 279.318&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 99/98 243/242]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/11; 1352/1331]&lt;br /&gt;
Gencom map: [&amp;lt;1 3 0 6 7|, &amp;lt;0 -4 0 -9 -10|]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0 3 3|, &amp;lt;0 0 0 0 2 3|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
Map: [&amp;lt;1 1 0|, &amp;lt;0 2 3|]&lt;br /&gt;
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd&lt;br /&gt;
EDOS: 13, 30, 43, 73, 116b&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;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.070 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:211:&amp;lt;img src=&amp;quot;/file/view/skwares_206edo.png/284589566/skwares_206edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:211 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:211:&amp;lt;img src=&amp;quot;/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="lovecraft_116edo.png" title="lovecraft_116edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:211 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:69:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc34"&gt;&lt;a name="Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:69 --&gt;Magic&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:71:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc35"&gt;&lt;a name="Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:71 --&gt;Greeley&lt;/h1&gt;
  Group: 2.3.5.7.11&lt;br /&gt;
  Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Commas: 100/99, 225/224, 245/243&lt;br /&gt;
Commas: 121/120, 126/125&lt;br /&gt;
Val name: 19&amp;amp;22&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~5/4 = 380.696&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/10 = 155.776&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Porcupine%20family#Opossum"&gt;Opossum&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/10; 121/120 126/125]&lt;br /&gt;
Gencom map: &amp;lt;1 -5/4 -1/4 3/4 3/4|, &amp;lt;0 9/4 1/4 -15/4 5/4|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 5/4; 100/99 225/224 245/243]&lt;br /&gt;
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&lt;br /&gt;
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.313 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:212:&amp;lt;img src=&amp;quot;/file/view/greeley_100edo.png/284867960/greeley_100edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="greeley_100edo.png" title="greeley_100edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:212 --&gt;&lt;br /&gt;
EDOs: 19, 22, 41, 104, 145&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.741 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:212:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:212 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:73:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc36"&gt;&lt;a name="Greeley-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:73 --&gt;Music&lt;/h2&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow"&gt;A Greeley Steals Halloween&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; in Greeley 15&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16"&gt;Sixteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:71:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc35"&gt;&lt;a name="Magic-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:71 --&gt;Music&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:75:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Mothwelltri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:75 --&gt;Mothwelltri&lt;/h1&gt;
  &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow"&gt;Chromatic piece in magic 16&lt;/a&gt;&lt;/span&gt; &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
  Group: 2.7/3.11&lt;br /&gt;
Comma: 99/98&lt;br /&gt;
Svalname: 1&amp;amp;4&lt;br /&gt;
Related temperament: Orwell&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:73:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc36"&gt;&lt;a name="Meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:73 --&gt;Meantone&lt;/h1&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 273.174&lt;br /&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 81/80, 126/125&lt;br /&gt;
Val name: 12&amp;amp;19&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 696.495&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 99/98]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1/2 0 1/2 3|, &amp;lt;0 -1/2 0 1/2 2|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 81/80 126/125]&lt;br /&gt;
Map: [&amp;lt;1 0 1|, &amp;lt;0 1 2|]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 -3|, &amp;lt;0 1 4 10|]&lt;br /&gt;
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.380 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13|, &amp;lt;0 1 4 10|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.763 cents&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:213:&amp;lt;img src=&amp;quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:213 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:77:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc38"&gt;&lt;a name="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:77 --&gt;Skwares&lt;/h1&gt;
Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 99/98, 243/242&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 425.244&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:75:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:75 --&gt;Sensi&lt;/h1&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 99/98 243/242]&lt;br /&gt;
Group: 2.3.5.7&lt;br /&gt;
Gencom map: [&amp;lt;1 3 0 6 7|, &amp;lt;0 -4 0 -9 -10|]&lt;br /&gt;
Commas: 126/125, 245/243&lt;br /&gt;
Val name: 19&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 443.383&lt;br /&gt;
Map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd&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;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 126/125 245/243]&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:213:&amp;lt;img src=&amp;quot;/file/view/skwares_206edo.png/284589566/skwares_206edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:213 --&gt;&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 -1 -2|, &amp;lt;0 7 9 13|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11|, &amp;lt;0 -7 -9 -13|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.647 cents&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:214:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:214 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:79:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc39"&gt;&lt;a name="Orwell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:79 --&gt;Orwell&lt;/h1&gt;
Group: 2.3.5.7.11&lt;br /&gt;
Commas: 99/98, 121/120, 176/175&lt;br /&gt;
Val name: 9&amp;amp;22&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 271.426&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19"&gt;Nineteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:77:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc38"&gt;&lt;a name="Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:77 --&gt;Greeley&lt;/h1&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 99/98 121/120 176/175]&lt;br /&gt;
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Gencom map: [&amp;lt;1 0 3 1 3|, &amp;lt;0 7 -3 8 2|]&lt;br /&gt;
Commas: 121/120, 126/125&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/10 = 155.776&lt;br /&gt;
Map: [&amp;lt;1 0 3 1 3|, &amp;lt;0 7 -3 8 2|]&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Porcupine%20family#Opossum"&gt;Opossum&lt;/a&gt;&lt;br /&gt;
EDOs: 9, 22, 31, 53, 84e&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/10; 121/120 126/125]&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.574 cents&lt;br /&gt;
Gencom map: &amp;lt;1 -5/4 -1/4 3/4 3/4|, &amp;lt;0 9/4 1/4 -15/4 5/4|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:214:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:214 --&gt;&lt;br /&gt;
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.313 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:215:&amp;lt;img src=&amp;quot;/file/view/greeley_100edo.png/284867960/greeley_100edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="greeley_100edo.png" title="greeley_100edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:215 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:79:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc39"&gt;&lt;a name="Greeley-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:79 --&gt;Music&lt;/h2&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow"&gt;A Greeley Steals Halloween&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; in Greeley 15&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:81:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc40"&gt;&lt;a name="Semidim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:81 --&gt;Semidim&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:81:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc40"&gt;&lt;a name="Semidim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:81 --&gt;Semidim&lt;/h1&gt;
Line 1,809: Line 1,821:
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.577 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.577 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:216:&amp;lt;img src=&amp;quot;/file/view/semidim_770edo.png/284868918/semidim_770edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:216 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:215:&amp;lt;img src=&amp;quot;/file/view/semidim_770edo.png/284868918/semidim_770edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:215 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:83:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc41"&gt;&lt;a name="Orwell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:83 --&gt;Orwell&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:83:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc41"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:83 --&gt;Sensi&lt;/h1&gt;
  Group: 2.3.5.7.11&lt;br /&gt;
  Group: 2.3.5.7&lt;br /&gt;
Commas: 99/98, 121/120, 176/175&lt;br /&gt;
Commas: 126/125, 245/243&lt;br /&gt;
Val name: 9&amp;amp;22&lt;br /&gt;
Val name: 19&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 271.426&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 443.383&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 99/98 121/120 176/175]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 126/125 245/243]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 3 1 3|, &amp;lt;0 7 -3 8 2|]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 -1 -2|, &amp;lt;0 7 9 13|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 3 1 3|, &amp;lt;0 7 -3 8 2|]&lt;br /&gt;
Map: [&amp;lt;1 6 8 11|, &amp;lt;0 -7 -9 -13|]&lt;br /&gt;
EDOs: 9, 22, 31, 53, 84e&lt;br /&gt;
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.574 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.647 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:217:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:217 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:216:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:216 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19"&gt;Nineteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:85:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc42"&gt;&lt;a name="Magicaltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:85 --&gt;Magicaltet&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:85:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc42"&gt;&lt;a name="Magicaltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:85 --&gt;Magicaltet&lt;/h1&gt;
Line 1,852: Line 1,865:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet15"&gt;Fifteen note mega scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet15"&gt;Fifteen note mega scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:87:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc43"&gt;&lt;a name="Sentry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:87 --&gt;Sentry&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:87:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc43"&gt;&lt;a name="Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:87 --&gt;Magic&lt;/h1&gt;
  Group: 2.5/3.9/7&lt;br /&gt;
  Group: 2.3.5.7.11&lt;br /&gt;
Commas: 245/243&lt;br /&gt;
Commas: 100/99, 225/224, 245/243&lt;br /&gt;
Svalname: 3&amp;amp;5&lt;br /&gt;
Val name: 19&amp;amp;22&lt;br /&gt;
Related temperaments: sensi&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 440.902&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~5/4 = 380.696&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 245/243]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 5/4; 100/99 225/224 245/243]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0|, &amp;lt;0 0 2 -1|]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0|, &amp;lt;0 2 1|]&lt;br /&gt;
Map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&lt;br /&gt;
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc&lt;br /&gt;
EDOs: 19, 22, 41, 104, 145&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.421 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.741 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:217:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:217 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry11"&gt;Eleven note note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:89:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc44"&gt;&lt;a name="Mothwelltri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:89 --&gt;Mothwelltri&lt;/h1&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Group: 2.7/3.11&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
Comma: 99/98&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Svalname: 1&amp;amp;4&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16"&gt;Sixteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
Related temperament: Orwell&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 273.174&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:89:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc44"&gt;&lt;a name="Magic-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:89 --&gt;Music&lt;/h2&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow"&gt;Chromatic piece in magic 16&lt;/a&gt;&lt;/span&gt; &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 99/98]&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:91:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc45"&gt;&lt;a name="Meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:91 --&gt;Meantone&lt;/h1&gt;
Gencom map: [&amp;lt;1 -1/2 0 1/2 3|, &amp;lt;0 -1/2 0 1/2 2|]&lt;br /&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 81/80, 126/125&lt;br /&gt;
Val name: 12&amp;amp;19&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1|, &amp;lt;0 1 2|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 696.495&lt;br /&gt;
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.380 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 81/80 126/125]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 -3|, &amp;lt;0 1 4 10|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:91:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc45"&gt;&lt;a name="Lovecraft"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:91 --&gt;Lovecraft&lt;/h1&gt;
Map: [&amp;lt;1 0 -4 -13|, &amp;lt;0 1 4 10|]&lt;br /&gt;
Group: 2.11.13&lt;br /&gt;
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b&lt;br /&gt;
Commas: 1352/1331&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.763 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/11 = 279.318&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:218:&amp;lt;img src=&amp;quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:218 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/11; 1352/1331]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0 3 3|, &amp;lt;0 0 0 0 2 3|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0|, &amp;lt;0 2 3|]&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:93:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc46"&gt;&lt;a name="Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:93 --&gt;Mohaha&lt;/h1&gt;
EDOS: 13, 30, 43, 73, 116b&lt;br /&gt;
Subgroup: 2.3.5.11&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.070 cents&lt;br /&gt;
Commas: 81/80, 121/120&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:218:&amp;lt;img src=&amp;quot;/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="lovecraft_116edo.png" title="lovecraft_116edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:218 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 348.094&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 81/80 121/120]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2|, &amp;lt;[0 2 8 0 5|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:93:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc46"&gt;&lt;a name="Bleu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:93 --&gt;Bleu&lt;/h1&gt;
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
Group: 2.3.7.11.13&lt;br /&gt;
EDOs: 24, 31, 69d, 100d, 131bd&lt;br /&gt;
Commas: 78/77, 99/98, 144/143&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.113 cents&lt;br /&gt;
Sval name: 9&amp;amp;17&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/12 = 139.990&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:219:&amp;lt;img src=&amp;quot;/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="mohaha_131edo.png" title="mohaha_131edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:219 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/12; 78/77 99/98 144/143]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 2 3 3|, &amp;lt;0 5 0 7 4 6|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 3 3|, &amp;lt;0 5 7 4 6|]&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:95:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc47"&gt;&lt;a name="Mohaha--Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:95 --&gt;Music&lt;/h3&gt;
EDOs: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo"&gt;43&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo"&gt;60c&lt;/a&gt;&lt;br /&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;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.292 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:219:&amp;lt;img src=&amp;quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:219 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:97:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc48"&gt;&lt;a name="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:97 --&gt;Tutone&lt;/h1&gt;
Subgroup: 2.9.5.7.11&lt;br /&gt;
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8"&gt;bleu8&lt;/a&gt; - Eight note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/8 = 193.937&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu9"&gt;bleu9&lt;/a&gt; - Nine note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu17"&gt;bleu17&lt;/a&gt; - Seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:95:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc47"&gt;&lt;a name="Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:95 --&gt;Mohaha&lt;/h1&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 81/80 99/98 126/125]&lt;br /&gt;
Subgroup: 2.3.5.11&lt;br /&gt;
Gencom map: [&amp;lt;1 3/2 2 2 2|, &amp;lt;0 1/2 2 5 9|]&lt;br /&gt;
Commas: 81/80, 121/120&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 348.094&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
EDOs: 25, 31, 68b, 99b&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.218 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 81/80 121/120]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2|, &amp;lt;[0 2 8 0 5|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
EDOs: 24, 31, 69d, 100d, 131bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.113 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:220:&amp;lt;img src=&amp;quot;/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="mohaha_131edo.png" title="mohaha_131edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:220 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:220:&amp;lt;img src=&amp;quot;/file/view/tutone_99edo.png/284592004/tutone_99edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="tutone_99edo.png" title="tutone_99edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:220 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:97:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc48"&gt;&lt;a name="Mohaha--Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:97 --&gt;Music&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:99:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc49"&gt;&lt;a name="Stacks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:99 --&gt;Stacks&lt;/h1&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:99:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc49"&gt;&lt;a name="Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:99 --&gt;Mohoho&lt;/h2&gt;
Subgroup: 2.3.5.11.13&lt;br /&gt;
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 348.916&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 66/65 81/80 121/120]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2 4|, &amp;lt;0 2 8 0 5 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
EDOs: 17c, 24, 31, 55, 86de, 141cde&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.829 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:101:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc50"&gt;&lt;a name="Stacks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:101 --&gt;Stacks&lt;/h1&gt;
  Subgroup: 2.9.15.7.11.13&lt;br /&gt;
  Subgroup: 2.9.15.7.11.13&lt;br /&gt;
Commas: 100/99, 105/104, 144/143, 196/195&lt;br /&gt;
Commas: 100/99, 105/104, 144/143, 196/195&lt;br /&gt;
Line 1,983: Line 1,970:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks19"&gt;Nineteen note note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks19"&gt;Nineteen note note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:103:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc51"&gt;&lt;a name="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:103 --&gt;Tutone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:101:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc50"&gt;&lt;a name="Bleu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:101 --&gt;Bleu&lt;/h1&gt;
  Subgroup: 2.9.5.7.11&lt;br /&gt;
  Group: 2.3.7.11.13&lt;br /&gt;
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
Commas: 78/77, 99/98, 144/143&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
Sval name: 9&amp;amp;17&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/12 = 139.990&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/12; 78/77 99/98 144/143]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 2 3 3|, &amp;lt;0 5 0 7 4 6|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 3 3|, &amp;lt;0 5 7 4 6|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo"&gt;43&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo"&gt;60c&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.292 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:221:&amp;lt;img src=&amp;quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:221 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/8 = 193.937&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8"&gt;bleu8&lt;/a&gt; - Eight note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu9"&gt;bleu9&lt;/a&gt; - Nine note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu17"&gt;bleu17&lt;/a&gt; - Seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 81/80 99/98 126/125]&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:103:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc51"&gt;&lt;a name="Bleu-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:103 --&gt;Mohoho&lt;/h2&gt;
Gencom map: [&amp;lt;1 3/2 2 2 2|, &amp;lt;0 1/2 2 5 9|]&lt;br /&gt;
Subgroup: 2.3.5.11.13&lt;br /&gt;
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 348.916&lt;br /&gt;
EDOs: 25, 31, 68b, 99b&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.218 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 66/65 81/80 121/120]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2 4|, &amp;lt;0 2 8 0 5 -1|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:221:&amp;lt;img src=&amp;quot;/file/view/tutone_99edo.png/284592004/tutone_99edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="tutone_99edo.png" title="tutone_99edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:221 --&gt;&lt;br /&gt;
Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
EDOs: 17c, 24, 31, 55, 86de, 141cde&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.829 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:105:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc52"&gt;&lt;a name="Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:105 --&gt;Leantone&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:105:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc52"&gt;&lt;a name="Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:105 --&gt;Leantone&lt;/h1&gt;

Revision as of 22:59, 9 July 2012

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author genewardsmith and made on 2012-07-09 22:59:41 UTC.
The original revision id was 351902260.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[toc|flat]]
[[media type="custom" key="11052942"]]
----

=Definitions= 
By a //chromatic pair// is meant a pair of [[xenharmonic/MOSScales|MOS]] in some rank two temperament (which may often be a [[xenharmonic/Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing [[Lp tuning|POL2 error]], which is an appropriate error measure for subgroups as well as full p-limit groups.

=Terrain= 
Subgroup: 2.9/5.9/7
Commas: 250047/250000
Sval name: 6&21
Related temperament: [[xenharmonic/Minortonic family#Domain|domain]]

[[Lp tuning|POL2 generator]]: ~10/9 = 182.461

[[Gencom]]: [63/50 10/9; 250047/250000]
Gencom map: [<3 10/9 -7/9 2/9|, <0 -2/3 -1/3 2/3|]

Map: [<3 0 -4|, <0 1 2|]
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
[[Lp tuning#L2 tuning|L2 error]]: 0.0169 cents

Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.

[[image:terrain_3558edo.png]]

[[xenharmonic/terrain9|Nine note albitonic scale]]
[[xenharmonic/terrain15|Fifteen note chromatic scale]]

=Petrtri= 
Subgroup: 2.11/5.13/5
Comma: 2200/2197
Svalname: 3&5

[[Lp tuning|POL2 generator]]: ~13/10 = 455.012

[[Gencom]]: [2 13/10; 2200/2197]
Gencom map: [<1 0 -1/3 0 -1/3 2/3|, <0 0 -4/3 0 5/3 -1/3|]

Map: [<1 0 1|, <0 3 1|]
EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c
[[Lp tuning#L2 tuning|L2 error]]: 0.1835 cents

[[image:petrtri_385edo.png]]

[[xenharmonic/petrtri5|Five note haplotonic scale]]
[[xenharmonic/petrtri8|Eight note albitonic scale]]
[[xenharmonic/petrtri13|Thirteen note chromatic scale]]

=Tridec= 
Subgroup: 2.7/5.11/5.13/5
Commas: 847/845, 1001/1000
Sval name: 5&8

[[Lp tuning|POL2 generator]]: ~13/10 = 454.556

[[Gencom]]: [2 13/10; 847/845 1001/1000]
Gencom map: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|]

Map: [<1 2 0 1|, <0 -4 3 1|]
EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc
[[Lp tuning#L2 tuning|L2 error]]: 0.3950 cents

[[image:tridec_235edo.png]]

[[xenharmonic/Tridec8|Eight note albitonic scale]]
[[xenharmonic/Tridec13|Thirteen note chromatic scale]]

=Orgone= 
Subgroup: 2.7.11
Commas: 65536/65219
Svals: 4&7
Related temperament: [[Gamelismic clan#superkleismic|superkleismic]]
[[Lp tuning|POL2 generator]]: ~77/64 = 323.372

[[Gencom]]: [2 77/64; 65536/65219]
Gencom map: [<1 0 0 2 4|, <0 0 0 3 -2|]

Map: [<1 2 4|, <0 3 -2|]
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc
[[Lp tuning#L2 tuning|L2 error]]: 0.4222 cents

[[image:orgone_308edo.jpg]]

[[xenharmonic/orgone7|Seven note albitonic scale]]
[[xenharmonic/orgone11|Eleven note chromatic scale]]
[[xenharmonic/orgone15|Fifteen note mega chromatic scale]]

=Nestoria= 
Subgroup: 2.3.5.19
Commas: 361/360, 513/512
Sval name: 12&29
Related temperament: [[xenharmonic/Schismatic family|schismatic]]

[[Lp tuning|POL2 generator]]: ~3/2 = 701.746

[[Gencom]]: [2 3/2; 361/360 513/512]
Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 0 -3|]

Map: [<1 0 15 9|, <0 1 -8 -3|]
EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d
[[Lp tuning#L2 tuning|L2 error]]: 0.4987 cents

[[image:nestoria_171edo.png]]

[[xenharmonic/nestoria7|Seven note albitonic scale]]
[[xenharmonic/nestoria12|Twelve note chromatic scale]]
[[xenharmonic/nestoria17|Seventeen note mega chromatic scale]]

=Marveltwintri= 
Subgroup: 2.5/3.13/9
Comma: 325/324
Svalname: 3&4

[[Lp tuning|POL2 generator]]: ~6/5 = 317.139

[[Gencom]]: [2 6/5; 325/324]
Gencom map: [<1 -1/6 5/6 0 0 -1/3|, <0 -1/2 -3/2 0 0 1|]

Map: [<1 0 2|, <0 1 -2|]
EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b
[[Lp tuning#L2 tuning|L2 error]]: 0.5985 cents

[[image:marveltwintri_321edo.png]]

[[xenharmonic/marveltwintri7|Seven note albitonic scale]]
[[xenharmonic/marveltwintri11|Eleven note chromatic scale]]
[[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]]

=Cata= 
Subgroup: 2.3.5.13
Commas: 325/324, 625/624
Sval name: 15&19
Related temperament: [[xenharmonic/Kleismic family|catakleismic]]

[[Lp tuning|POL2 generator]]: ~6/5 = 317.076

[[Gencom]]: [2 6/5; 325/324 625/624]
Gencom map: [<1 0 1 0 0 0|, <0 6 5 0 0 14|]

Map: [<1 0 1 0|, <0 6 5 14|]
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
[[Lp tuning#L2 tuning|L2 error]]: 0.6001 cents

[[image:xenharmonic/cata_246edo2.jpg]]
[[xenharmonic/cata7|Seven note albitonic scale]]
[[xenharmonic/cata11|Eleven note mega albitonic scale]]
[[xenharmonic/cata15|Fifteen note chromatic scale]]
[[xenharmonic/cata19|Nineteen note mega chromatic scale]]

=Bridgetown= 
Subgroup: 2.3.11/5.13/5
Commas: 352/351, 676/675
Sval name: 5&24
Related temperament: [[xenharmonic/The Archipelago|barabados]]

[[Lp tuning|POL2 generator]]: ~15/13 = 248.399

[[Gencom]]: [2 15/13; 352/351 676/675]
Gencom map: [<1 2 -5/3 0 4/3 1/3|, <0 -2 4 0 -5 1|]

Map: [<1 0 -6 -1|, <0 2 9 3|]
EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314
[[Lp tuning#L2 tuning|L2 error]]: 0.6154 cents

[[image:bridgetown_29edo.png]]

[[xenharmonic/bridgetown9|Nine note albitonic scale]]
[[xenharmonic/bridgetown14|Fourteen note chromatic scale]]

==Music== 
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]]////</span></span> by [[xenharmonic/Igliashon Jones|Igliashon Jones]]
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]////</span></span> by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]

=Slendric= 
Subgroup: 2.3.7
Comma: 1029/1024
Sval name: 5&21

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

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

Map: [<1 1 3|, <0 3 -1|]
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
[[Lp tuning#L2 tuning|L2 error]]: 0.6403 cents

[[image:xenharmonic/slendric_190edo.jpg]]

[[xenharmonic/slendric5|Five note haplotonic scale]]
[[xenharmonic/slendric6|Six note haplotonic scale]]
[[xenharmonic/slendric11|Eleven note albitonic scale]]
[[xenharmonic/slendric16|Sixteen note chromatic scale]]

==Music== 
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]////</span></span>
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]////</span></span>
by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]

=Neutraltet= 
Subgroup: 2.3.11
Commas: 243/242
Svalname: 7&17

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

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

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

[[image:neutraltet_380edo.png]]

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

=Huntington= 
Subgroup: 2.5.7.13
Commas: 640/637, 10985/10976
Sval name: 10&27

[[Lp tuning|POL2 generator]]: ~16/13 = 357.002

[[Gencom]]: [2 16/13; 640/637 10985/10976]
Gencom map: [<1 0 5 4 0 4|, <0 0 -9 -4 0 -1|]

Map: [<1 5 4 4|, <0 -9 -4 -1|]
EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd
[[Lp tuning#L2 tuning|L2 error]]: 0.8455 cents

[[image:huntington_400edo.jpg]]

[[xenharmonic/huntington7|Seven note haplotonic scale]]
[[xenharmonic/huntington10|Ten note albitonic scale]]
[[xenharmonic/huntington17|Seventeen note chromatic scale]]

=Pepperoni= 
Subgroup: 2.3.11/7.13/7
Commas: 352/351, 364/363
Sval name: 5&12
Related temperament: The [[xenharmonic/Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.

[[Lp tuning|POL2 generator]]: ~3/2 = 703.856

[[Gencom]]: [2 3/2; 352/351 364/363]
Gencom map: [<1 1 0 -8/3 1/3 7/3|, <0 1 0 11/3 -1/3 -10/3|]

Map: [<1 0 7 12|, <0 1 -4 -7|]
EDOs: 5, 7, 12, 17, 29, 46, 75, 104, 196, 271, 595bcd
[[Lp tuning#L2 tuning|L2 error]]: 0.9282 cents

[[image:pepperoni_271edo.png]]

[[xenharmonic/pepperoni7|Seven note albitonic scale]]
[[xenharmonic/pepperoni12|Twelve note chromatic scale]]

=Penta= 
Subgroup: 2.9.7.11
Commas: 896/891, 26411/26244
Svalname: 8&11

[[Lp tuning|POL2 generator]]: ~9/7 = 438.465

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

Map: [<1 0 -1 6|, <0 5 6 -4|]
EDOs: 8, 11, 30, 41, 52
[[Lp tuning#L2 tuning|L2 error]]: 0.9531 cents

[[xenharmonic/penta5|Five note haplotonic scale]]
[[xenharmonic/penta9|Nine note albitonic scale]]
[[xenharmonic/penta13|Thirteen chromatic note scale]]
[[xenharmonic/penta17|Seventeen note mega chromatic scale]]

=Marveltri= 
Subgroup: 2.5.9/7
Comma: 225/224
Sval name: 3&13
Related temperaments: marvel, 22&47, magic

[[Lp tuning|POL2 generator]]: ~5/4 = 383.638

[[Gencom]]: [2 5/4; 225/224]
Gencom map: [<1 2/5 2 -1/5|, <0 -4/5 1 2/5|]

Map: [<1 0 5|, <0 1 -2|]
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc 
[[Lp tuning#L2 tuning|L2 error]]: 0.9602 cents

[[xenharmonic/marveltri7|Seven note albitonic scale]]
[[xenharmonic/marveltri10|Ten note chromatic scale]]
[[xenharmonic/marveltri13|Thirteen note mega chromatic scale]]

=Bossier= 
Subgroup: 2.7.11.13
Commas: 1573/1568, 15488/15379
Sval name: 3&17

[[Lp tuning|POL2 generator]]: ~14/11 = 421.309

[[Gencom]]: [2 14/11; 1573/1568 15488/15379]
Gencom map: [<1 0 0 0 1 3|, <0 0 0 8 7 2|]

Map: [<1 0 1 3|, <0 8 7 2|]
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd
[[Lp tuning#L2 tuning|L2 error]]: 0.9904 cents

[[image:bossier_225edo.jpg]]

[[xenharmonic/bossier8|Eight note albitonic scale]]
[[xenharmonic/bossier11|Eleven note chromatic scale]]
[[xenharmonic/bossier14|Fourteen note mega chromatic scale]]

=Shoe= 
Subgroup: 2.5.7.11.13
Commas: 176/175, 640/637, 847/845
Sval name: 16&21

[[Lp tuning|POL2 generator]]: ~8/7 = 227.108

[[Gencom]]: [2 8/7; 176/175 640/637 847/845]
Gencom map: [<1 0 1 3 1 2|, <0 0 7 -1 13 9|]

Map: [<1 1 3 1 2|, <0 7 -1 13 9|]
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce
[[Lp tuning#L2 tuning|L2 error]]: 1.331 cents

[[image:xenharmonic/shoe_37edo.jpg]]

[[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]

=Guanyintet= 
Subgroup: 2.5.7/3.11/3
Commas: 176/175, 540/539
Svalname: 4&9
Related temperaments: guanyin, orwell

[[Lp tuning|POL2 generator]]: ~7/6 = 270.093

[[Gencom]]: [2 7/6; 176/175 540/539]
Gencom map: [<1 -4/3 3 -1/3 5/3|, <0 4/3 -3 7/3 -11/3|]

Map: [<1 0 2 -2|, <0 3 -1 5|]
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd
[[Lp tuning#L2 tuning|L2 error]]: 1.348 cents

[[xenharmonic/guanyintet5|Five note haplotonic scale]]
[[xenharmonic/guanyintet9|Nine note albitonic scale]]
[[xenharmonic/guanyintet13|Thirteen note chromatic scale]]

=Roulette= 
Subgroup: 2.5.7.11.13
Commas: 176/175, 1375/1372, 640/637
Sval name: 6&25
Related temperament: [[xenharmonic/Würschmidt family|Hemiwürschmidt]]

[[Lp tuning|POL2 generator]]: ~28/25 = 194.594

[[Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
Gencom map: [<1 0 2 2 2 5|, <0 0 2 5 9 -8|]

Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
EDOs: 6, 7, 13, 19, 25, 31, 37
[[Lp tuning#L2 tuning|L2 error]]: 1.364 cents

[[image:xenharmonic/roulette_37edo.jpg]]

[[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]

=Sentry= 
Group: 2.5/3.9/7
Commas: 245/243
Svalname: 3&5
Related temperaments: sensi

[[Lp tuning|POL2 generator]]: ~9/7 = 440.902

[[Gencom]]: [2 9/7; 245/243]
Gencom map: [<1 0 0 0|, <0 0 2 -1|]

Map: [<1 0 0|, <0 2 1|]
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc
[[Lp tuning#L2 tuning|L2 error]]: 1.421 cents

[[xenharmonic/sentry5|Five note haplotonic scale]]
[[xenharmonic/sentry8|Eight note albitonic scale]]
[[xenharmonic/sentry11|Eleven note note chromatic scale]]

=Garibaldi= 
Group: 2.3.5.7
Commas: 225/224, 3125/3087
Val name: 12&29

[[Lp tuning|POL2 generator]]: ~3/2 = 702.085

[[Gencom]]: [2 3/2; 225/224 3125/3087]
Gencom map: [<1 1 7 11], <0 1 -8 -14|]

Map: [<1 0 15 25|, <0 1 -8 -14|]
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c
[[Lp tuning#L2 tuning|L2 error]]: 1.451 cents

[[image:garibaldi_94edo.png]]

[[xenharmonic/garibaldi12|Twelve note albitonic scale]]
[[xenharmonic/garibaldi17|Seventeen note chromatic scale]]

=Radon= 
Subgroup: 2.3.7.11
Commas: 896/891, 1029/1024
Sval name: 5&36
Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]

[[Lp tuning|POL2 generator]]: ~8/7 = 234.381

[[Gencom]]: [2 8/7; 896/891 1029/1024]
Gencom map: [<1 1 0 3 6|, <0 3 0 -1 -13|]

Map: [<1 1 3 6|, <0 3 -1 -13|]
EDOs: 5, 36, 41, 87, 128
[[Lp tuning#L2 tuning|L2 error]]: 1.454 cents

[[image:radon_128edo.jpg]]

[[xenharmonic/radon5|Five note haplotonic scale]]
[[xenharmonic/radon11|Eleven note albitonic scale]]
[[xenharmonic/radon16|Sixteen note chromatic scale]]

=Baldy= 
Subgroup: 2.9.5.7.13
Commas: 225/224, 325/324, 640/637
Sval name: 6&35
Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]

[[Lp tuning|POL2 generator]]: ~9/8 = 204.090

[[Gencom]]: [2 9/8; 225/224 325/324 640/637]
Gencom map: [<1 3/2 3 4 0 2|, <0 1/2 -4 -7 0 10|]

Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]], 488cd, 635cd
[[Lp tuning#L2 tuning|L2 error]]: 1.469 cents

[[image:baldy_147edo.jpg]]

[[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]

=Photia= 
Subgroup: 2.3.5.17.19
Commas: 171/170, 256/255, 324/323
Sval name: 12&41
Related temperament: [[xenharmonic/Schismatic family|schismatic]]

[[Lp tuning|POL2 generator]]: ~3/2 = 701.470

[[Gencom]]: [2 3/2; 171/170 256/255 324/323]
Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 7 -3|]

Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d
[[Lp tuning#L2 tuning|L2 error]]: 1.520 cents

[[image:photia_65edo.png]]

[[xenharmonic/photia7|Seven note albitonic scale]]
[[xenharmonic/photia12|Twelve note chromatic scale]]

=Mabila= 
Subgroup: 2.5.7
Comma: 1071875/1048576
Sval name: 7&9

[[Lp tuning|POL2 generator]]: ~175/128 = 527.236

[[Gencom]]: [2 175/128; 1071875/1048576]
Gencom map: [<1 0 1 5}, <0, 0, 3, -5|]

Map: [<1 1 5|, <0 3 -5|]
EDOs: 7, 9, 16, 25, 41, 66, 305bc
[[Lp tuning#L2 tuning|L2 error]]: 1.546 cents

[[image:mabila_66edo.jpg]]

[[xenharmonic/mabila7|Seven note haplotonic scale]]
[[xenharmonic/mabila9|Nine note albitonic scale]]
[[xenharmonic/mabila16|Sixteen note chromatic scale]]

=Silver= 
Subgroup: 2.5.7.13.17
Commas: 170/169, 640/637, 5525/5488
Sval name: 10&27

[[Lp tuning|POL2 generator]]: ~13/8 = 842.711

[[Gencom]]: [2 13/8; 170/169 640/637 5525/5488]
Gencom map: [<1 0 -4 0 0 3 9|, <0 0 9 4 0 1 -7|]

Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, 178e, 309cde, [[xenharmonic/487edo|487bcdee]]
[[Lp tuning#L2 tuning|L2 error]]: 1.557 cents

[[image:silver_487edo.jpg]]

[[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]

=Starlingtet= 
Group: 2.5/3.7/3
Comma: 126/125
Svalname: 4&15
Related temperaments: starling; becomes myna
[[Lp tuning|POL2 generator]]: ~6/5 = 311.154

[[Gencom]]: [2 6/5; 126/125]
Gencom map: [<1 -1 0 1|, <0 4/3 1/3 -5/3|]

Map: [<1 0 -1|, <0 1 3|]
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
[[Lp tuning#L2 tuning|L2 error]]: 1.680 cents

[[xenharmonic/starlingtet4|Four note haplotonic scale]]
[[xenharmonic/starlingtet7|Seven note albitonic scale]]
[[xenharmonic/starlingtet11|Eleven note chromatic scale]]

=Gariberttet= 
Subgroup: 2.5/3.7/3.13/11
Commas: 275/273, 847/845
Svalname: 4&29

[[Lp tuning|POL2 generator]]: ~13/11 = 293.679

[[Gencom]]: [2 13/11; 275/273 847/845]
Gencom map: [<1 0 0 0 0 0|, <0 -8/3 1/3 7/3 -1/2 1/2|]

Map: [<1 0 0 0|, <0 3 5 1|]
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd
[[Lp tuning#L2 tuning|L2 error]]: 1.694 cents

[[xenharmonic/gariberttet5|Five note haplotonic scale]]
[[xenharmonic/gariberttet9|Nine note albitonic scale]]
[[xenharmonic/gariberttet13|Thirteen note chromatic scale]]

=Indium= 
Subgroup: 2.5/3.7/3.11/3
Commas: 3025/3024, 3125/3087
Sval name: 8&33

[[Lp tuning|POL2 generator]]: ~12/11 = 147.010

[[Gencom]]: [2 12/11; 3025/3024 3125/3087]
Gencom map: [<1 -1/2 -1/2 -1/2 3/2|, <0 -15/4 9/4 25/4 -19/4|]

Map: [<1 0 0 2|, <0 6 10 -1|]
EDOs: 33, 41, 49, 57, 106, 204, 253
[[Lp tuning#L2 tuning|L2 error]]: 1.741 cents

[[image:indium_253edo.png]]

[[xenharmonic/indium8|Eight note albitonic scale]]
[[xenharmonic/indium17|Seventeen note chromatic scale]]

==Music== 
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]]////</span></span> (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1532|details]]

=Hemif= 
Subgroup: 2.3.7.11.13
Commas: 144/143, 243/242, 364/363
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]

[[Lp tuning|POL2 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
[[Lp tuning#L2 tuning|L2 error]]: 1.756 cents

[[image:hemif_58edo.jpg]]

[[xenharmonic/hemif7|Seven note haplotonic scale]]
[[xenharmonic/hemif10|Ten note albitonic scale]]
[[xenharmonic/hemif17|Seventeen note chromatic scale]]

=Myna= 
Group: 2.3.5.7
Commas: 126/125, 1728/1715
Val name: 4&27

[[Lp tuning|POL2 generator]]: ~6/5 = 310.146

[[Gencom]]: [2 6/5; 126/125 1728/1715]
Gencom map: [<1 -1 0 1|,<0 10 9 7|]

Map: [<1 9 9 8|, <0 -10 -9 -7|]
EDOs: 4, 27, 31, 58, 89, 236c, 325cd
[[Lp tuning#L2 tuning|L2 error]]: 1.903 cents

[[image:myna_89edo.jpg]]

[[xenharmonic/myna7|Seven note haplotonic scale]]
[[xenharmonic/myna11|Eleven note albitonic scale]]
[[xenharmonic/myna15|Fifteen note chromatic scale]]

=Lovecraft= 
Group: 2.11.13
Commas: 1352/1331

[[Lp tuning|POL2 generator]]: ~13/11 = 279.318

[[Gencom]]: [2 13/11; 1352/1331]
Gencom map: [<1 0 0 0 3 3|, <0 0 0 0 2 3|]

Map: [<1 1 0|, <0 2 3|]
EDOS: 13, 30, 43, 73, 116b
[[Lp tuning#L2 tuning|L2 error]]: 2.070 cents

[[image:lovecraft_116edo.png]]

[[xenharmonic/lovecraft5|Five note haplotonic scale]]
[[xenharmonic/lovecraft9|Nine note albitonic scale]]
[[xenharmonic/lovecraft13|Thirteen note chromatic scale]]

=Greeley= 
Subgroup: 2.5/3.7/3.11/3
Commas: 121/120, 126/125

[[Lp tuning|POL2 generator]]: ~11/10 = 155.776
Related temperament: [[Porcupine family#Opossum|Opossum]]
[[Gencom]]: [2 11/10; 121/120 126/125]
Gencom map: <1 -5/4 -1/4 3/4 3/4|, <0 9/4 1/4 -15/4 5/4|]

Map: [<1 1 2 2|, <0 -2 -6 -1|]
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd
[[Lp tuning#L2 tuning|L2 error]]: 2.313 cents

[[image:greeley_100edo.png]]

[[xenharmonic/greeley8|Eight note albitonic scale]]
[[xenharmonic/greeley15|Fifteen note chromatic scale]]

==Music== 
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]////</span></span> by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15

=Mothwelltri= 
Group: 2.7/3.11
Comma: 99/98
Svalname: 1&4
Related temperament: Orwell

[[Lp tuning|POL2 generator]]: ~7/6 = 273.174

[[Gencom]]: [2 7/6; 99/98]
Gencom map: [<1 -1/2 0 1/2 3|, <0 -1/2 0 1/2 2|]

Map: [<1 0 1|, <0 1 2|]
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc
[[Lp tuning#L2 tuning|L2 error]]: 2.380 cents

[[xenharmonic/mothwelltri5|Five note haplotonic scale]]
[[xenharmonic/mothwelltri9|Nine note albitonic scale]]
[[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]

=Skwares= 
Subgroup: 2.3.7.11
Commas: 99/98, 243/242
Related temperament: [[xenharmonic/Meantone family|squares]]

[[Lp tuning|POL2 generator]]: ~9/7 = 425.244

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

Map: [<1 3 6 7|, <0 -4 -9 -10|]
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd
[[Lp tuning#L2 tuning|L2 error]]: 2.457 cents

[[image:skwares_206edo.png]]

[[xenharmonic/skwares8|Eight note albitonic scale]]
[[xenharmonic/skwares11|Eleven note mega albitonic scale]]
[[xenharmonic/skwares14|Fourteen note chromatic scale]]

=Orwell= 
Group: 2.3.5.7.11
Commas: 99/98, 121/120, 176/175
Val name: 9&22

[[Lp tuning|POL2 generator]]: ~7/6 = 271.426

[[Gencom]]: [2 7/6; 99/98 121/120 176/175]
Gencom map: [<1 0 3 1 3|, <0 7 -3 8 2|]

Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
EDOs: 9, 22, 31, 53, 84e
[[Lp tuning#L2 tuning|L2 error]]: 2.574 cents

[[image:xenharmonic/orwell_84edo.png]]

[[xenharmonic/orwell5|Five note haplotonic scale]]
[[xenharmonic/orwell9|Nine note albitonic scale]]
[[xenharmonic/orwell13|Thirteen note chromatic scale]]

=Semidim= 
Subgroup: 2.5/3.7/3.11/3.13/3
Commas: 121/120, 169/168, 275/273
Sval name: 8&29

[[Lp tuning|POL2 generator]]: ~13/10 = 453.242

[[Gencom]]: [2 13/10; 121/120 169/168 275/273]
Gencom map: [<1 -3 0 2 0 1|, <0 24/5 -6/5 -26/5 9/5 -1/5|]

Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde, 
[[Lp tuning#L2 tuning|L2 error]]: 2.577 cents

[[image:semidim_770edo.png]]

[[xenharmonic/semidim8|Eight note albitonic scale]]
[[xenharmonic/semidim13|Thirteen note chromatic scale]]

=Sensi= 
Group: 2.3.5.7
Commas: 126/125, 245/243
Val name: 19&27

[[Lp tuning|POL2 generator]]: ~9/7 = 443.383

[[Gencom]]: [2 9/7; 126/125 245/243]
Gencom map: [<1 -1 -1 -2|, <0 7 9 13|]

Map: [<1 6 8 11|, <0 -7 -9 -13|]
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
[[Lp tuning#L2 tuning|L2 error]]: 2.647 cents

[[image:xenharmonic/sensi_46edo.jpg]]

[[xenharmonic/sensi5|Five note haplotonic scale]]
[[xenharmonic/sensi8|Eight note albitonic scale]]
[[xenharmonic/sensi11|Eleven note mega albitonic scale]]
[[xenharmonic/sensi19|Nineteen note chromatic scale]]

=Magicaltet= 
Group: 2.5/3.7.11
Commas: 100/99, 385/384
Related temperaments: 4&7&15, magic

[[Lp tuning|POL2 generator]]: ~6/5 = 322.659

[[Gencom]]: [2 6/5; 100/99 385/384]
Gencom map: [<1 -1/2 1/2 2 4|, <0 1/2 -1/2 3 -2|]

Map: [<1 0 5 2|, <0 1 -3 2|]
EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd
[[Lp tuning#L2 tuning|L2 error]]: 2.696 cents

[[xenharmonic/magicaltet7|Seven note albitonic scale]]
[[xenharmonic/magicaltet11|Eleven note chromatic scale]]
[[xenharmonic/magicaltet15|Fifteen note mega scale]]

=Magic= 
Group: 2.3.5.7.11
Commas: 100/99, 225/224, 245/243
Val name: 19&22

[[Lp tuning|POL2 generator]]: ~5/4 = 380.696

[[Gencom]]: [2 5/4; 100/99 225/224 245/243]
Gencom map: [<1 0 2 -1 6|, <0 5 1 12 -8|]

Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
EDOs: 19, 22, 41, 104, 145
[[Lp tuning#L2 tuning|L2 error]]: 2.741 cents

[[image:xenharmonic/magic_145edo.jpg]]

[[xenharmonic/magic7|Seven note haplotonic scale]]
[[xenharmonic/magic10|Ten note albitonic scale]]
[[xenharmonic/magic13|Thirteen note chromatic scale]]
[[xenharmonic/magic16|Sixteen note mega chromatic scale]]

==Music== 
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">////[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]////</span> [[@http://www.chrisvaisvil.com/|Chris Vaisvil]]

=Meantone= 
Group: 2.3.5.7
Commas: 81/80, 126/125
Val name: 12&19

[[Lp tuning|POL2 generator]]: ~3/2 = 696.495

[[Gencom]]: [2 3/2; 81/80 126/125]
Gencom map: [<1 1 0 -3|, <0 1 4 10|]

Map: [<1 0 -4 -13|, <0 1 4 10|]
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
[[Lp tuning#L2 tuning|L2 error]]: 2.763 cents

[[image:meantone_31edo.jpg]]

[[xenharmonic/meantone5|Five note haplotonic scale]]
[[xenharmonic/meantone7|Seven note albitonic scale]]
[[xenharmonic/meantone12|Twelve note chromatic scale]]

=Mohaha= 
Subgroup: 2.3.5.11
Commas: 81/80, 121/120
Related temperament: [[xenharmonic/Meantone family|mohajira]]

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

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

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

[[image:mohaha_131edo.png]]

[[xenharmonic/mohaha7|Seven note albitonic scale]]
[[xenharmonic/mohaha10|Ten note chromatic scale]]

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

=Tutone= 
Subgroup: 2.9.5.7.11
Commas: 81/80, 99/98, 126/125
Related temperament: [[xenharmonic/Meantone family|meantone]]

[[Lp tuning|POL2 generator]]: ~9/8 = 193.937

[[Gencom]]: [2 9/8; 81/80 99/98 126/125]
Gencom map: [<1 3/2 2 2 2|, <0 1/2 2 5 9|]

Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
EDOs: 25, 31, 68b, 99b
[[Lp tuning#L2 tuning|L2 error]]: 3.218 cents

[[xenharmonic/tutone6|Six note haplotonic scale]]
[[xenharmonic/tutone7|Seven note albitonic scale]]
[[xenharmonic/tutone13|Thirteen note chromatic scale]]

[[image:tutone_99edo.png]]

=Stacks= 
Subgroup: 2.9.15.7.11.13
Commas: 100/99, 105/104, 144/143, 196/195
Svalname: 11&30

[[Lp tuning|POL2 generator]]: ~9/7 = 439.146

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

Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|]
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
[[Lp tuning#L2 tuning|L2 error]]: 3.772 cents

[[xenharmonic/stacks5|Five note haplotonic scale]]
[[xenharmonic/stacks8|Eight note albitonic scale]]
[[xenharmonic/stacks11|Eleven note note chromatic scale]]
[[xenharmonic/stacks19|Nineteen note note mega chromatic scale]]

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

[[Lp 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]]
[[Lp tuning#L2 tuning|L2 error]]: 4.292 cents

[[image:blue_60edo.png]]

[[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]

==Mohoho== 
Subgroup: 2.3.5.11.13
Commas: 66/65, 81/80, 121/120

[[Lp tuning|POL2 generator]]: ~11/9 = 348.916

[[Gencom]]: [2 11/9; 66/65 81/80 121/120]
Gencom map: [<1 1 0 0 2 4|, <0 2 8 0 5 -1|]

Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
EDOs: 17c, 24, 31, 55, 86de, 141cde
[[Lp tuning#L2 tuning|L2 error]]: 4.829 cents

=Leantone= 
Subgroup: 2.9.5.7.11
Commas: 45/44, 56/55, 81/80
Related temperament: [[meanenneadecal]]

[[Lp tuning|POL2 generator]]: ~9/8 = 192.500

[[Gencom]]: [2 9/8; 45/44 56/55 81/80]
Gencom map: [<1 3/2 2 2 3|, <0 1/2 2 5 3|]

Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
[[Lp tuning#L2 tuning|L2 error]]: 8.680 cents

[[image:leantone_81edo.png]]

[[xenharmonic/leantone6|Six note haplotonic scale]]
[[xenharmonic/leantone7|Seven note albitonic scale]]
[[xenharmonic/leantone13|Thirteen note chromatic scale]]

=Score= 
Subgroup: 2.7.11.13
Commas: 343/338, 847/832

[[Lp tuning|POL2 generator]]: ~11/8 = 540.099

[[Gencom]]: [2 11/8; 343/338 847/832]
Gencom map: [<1 0 0 1 3 1|, <0 0 0 4 1 6|]

Map: [<1 1 3 1|, <0 4 1 6|]
EDOs: 5, 7, 9, 11, 20
[[Lp tuning#L2 tuning|L2 error]]: 3.141 cents

[[image:xenharmonic/score_20edo.jpg]]

[[xenharmonic/score5|Five note haplotonic scale]]
[[xenharmonic/score7|Seven note albitonic scale]]
[[xenharmonic/score9|Nine note mega albitonic scale]]
[[xenharmonic/score11|Eleven note chromatic scale]]

=Supra= 
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[xenharmonic/suprapyth|suprapyth]]

[[Lp tuning|POL2 generator]]: ~3/2 = 707.192

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

Map: [<1 0 6 13|, <0 1 -2 -6|]
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents

[[image:supra_56edo.png]]

[[xenharmonic/supra7|Seven note albitonic scale]]
[[xenharmonic/supra12|Twelve note chromatic scale]]

==Supraphon== 
Subgroup: 2.3.7.11.13
Commas: 64/63, 78/77, 99/98

[[Lp tuning|POL2 generator]]: ~3/2 = 706.137

[[Gencom]]: [2 3/2; 64/63 78/77 99/98]
Gencom map: [<1 1 0 4 7 9|, <0 1 0 -2 -6 -9|]

Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
EDOs: 5, 7, 12, 17
[[Lp tuning#L2 tuning|L2 error]]: 5.132 cents

==Machine== 
Subgroup: 2.9.7.11
Commas: 64/63, 99/98

[[Lp tuning|POL2 generator]]: ~9/8 = 214.384

[[Gencom]]: [2 9/8; 64/63 99/98]
Gencom map: [<1 3/2 0 3 4|, <0 1/2 0 -1 -3|]

Map: [<1 0 6 13|, <0 1 -1 -3|]
EDOs: 5, 6, 11, 17, 28
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents

[[image:machine_28edo.png]]

[[xenharmonic/machine5|Five note haplotonic scale]]
[[xenharmonic/machine6|Six note albitonic scale]]
[[xenharmonic/machine11|Eleven note chromatic scale]]

=Antikythera= 
Subgroup: 2.9.5.7
Commas: 50/49, 64/63
Related temperament: [[xenharmonic/pajara|pajara]]

[[Lp tuning|POL2 generator]]: ~8/7 = 214.095

[[Gencom]]: [7/5 8/7; 50/49 64/63]
Gencom map: [<2 3 5 6|, <0 1/2 -1 -1|]

Map: [<2 0 11 12|, <0 1 -1 -1|]
EDOS: 4, 6, 10, 16, 22, 28
[[Lp tuning#L2 tuning|L2 error]]: 5.145 cents

[[image:antikythera_28edo.png]]

[[xenharmonic/antikythera6|Six note haplotonic scale]]
[[xenharmonic/antikythera10|Ten note albitonic scale]]
[[xenharmonic/antikythera16|Sixteen note chromatic scale]]

=Deutone= 
Subgroup: 2.9.5.7.13
Commas: 65/64, 81/80, 91/90
Related temperament: [[xenharmonic/Meantone family|meanpop]]

[[Lp tuning|POL2 generator]]: ~9/8 = 191.059

[[Gencom]]: [2 9/8; 65/64 81/80 91/90]
Gencom map: [<1 3/2 2 2 0 4|, <0 1/2 2 5 0 -2|]

Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
EDOs: 6, 7, 13, 19, 25e, 44de
[[Lp tuning#L2 tuning|L2 error]]: 4.906 cents

[[image:deutone_44edo.png]]

[[xenharmonic/deutone6|Six note haplotonic scale]]
[[xenharmonic/deutone7|seven note albitonic scale]]
[[xenharmonic/deutone13|Thirteen note chromatic scale]]

=Semaphore= 
Subgroup: 2.3.7
Comma: 49/48

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

[[Gencom]]: [2 7/6; 49/48]
Gencom map: [<1 2 0 3}, <0 -2 0 -1|]

Map: [<1 0 2|, <0 2 1|]
EDOs: 5, 9, 14, 19, 24, 67c, 91c
[[Lp tuning#L2 tuning|L2 error]]: 5.046 cents

[[image:semaphore_24edo.png]]

[[xenharmonic/semiphore5|Five note haplotonic scale]]
[[xenharmonic/semiphore9|Nine note albitonic scale]]
[[xenharmonic/semiphore14|Fourteen note chromatic scale]]

=Augment= 
Subgroup: 2.5.7.11
Commas: 56/55, 128/125
Related temperament: [[xenharmonic/Augmented family|augmented]]

[[Lp tuning|POL2 generator]]: ~8/7 = 228.275

[[Gencom]]: [5/4 8/7; 56/55 128/125]
Gencom map: [<3 0 7 9 11|, <0 0 0 -1 -1|]

Map: [<3 7 0 2|, <0 0 1 1|]
EDOs: 3, 6, 9, 15, 21
[[Lp tuning#L2 tuning|L2 error]]: 5.415 cents

[[image:augment_21edo.png]]

[[xenharmonic/augment6|Six note haplotonic scale]]
[[xenharmonic/augment9|Nine note albitonic scale]]
[[xenharmonic/augment12|Twelve note chromatic scale]]

Original HTML content:

<html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:123:&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:123 --><!-- ws:start:WikiTextTocRule:124: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:134 --><!-- ws:start:WikiTextTocRule:135: --><!-- ws:end:WikiTextTocRule:135 --><!-- ws:start:WikiTextTocRule:136: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:136 --><!-- ws:start:WikiTextTocRule:137: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:137 --><!-- ws:start:WikiTextTocRule:138: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:138 --><!-- ws:start:WikiTextTocRule:139: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:139 --><!-- ws:start:WikiTextTocRule:140: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:140 --><!-- ws:start:WikiTextTocRule:141: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:141 --><!-- ws:start:WikiTextTocRule:142: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:142 --><!-- ws:start:WikiTextTocRule:143: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:143 --><!-- ws:start:WikiTextTocRule:144: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:144 --><!-- ws:start:WikiTextTocRule:145: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:145 --><!-- ws:start:WikiTextTocRule:146: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:146 --><!-- ws:start:WikiTextTocRule:147: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:147 --><!-- ws:start:WikiTextTocRule:148: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:148 --><!-- ws:start:WikiTextTocRule:149: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:149 --><!-- ws:start:WikiTextTocRule:150: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:150 --><!-- ws:start:WikiTextTocRule:151: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:151 --><!-- ws:start:WikiTextTocRule:152: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:152 --><!-- ws:start:WikiTextTocRule:153: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:153 --><!-- ws:start:WikiTextTocRule:154: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: --><!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextTocRule:156: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:156 --><!-- ws:start:WikiTextTocRule:157: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:157 --><!-- ws:start:WikiTextTocRule:158: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:158 --><!-- ws:start:WikiTextTocRule:159: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:159 --><!-- ws:start:WikiTextTocRule:160: --><!-- ws:end:WikiTextTocRule:160 --><!-- ws:start:WikiTextTocRule:161: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:161 --><!-- ws:start:WikiTextTocRule:162: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:162 --><!-- ws:start:WikiTextTocRule:163: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Semaphore">Semaphore</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: -->
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<!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Definitions"></a><!-- ws:end:WikiTextHeadingRule:1 -->Definitions</h1>
 By a <em>chromatic pair</em> is meant a pair of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales">MOS</a> in some rank two temperament (which may often be a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups">subgroup temperament</a>) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &quot;albitonic&quot; from the Latin word for &quot;white&quot;. Also included at times are &quot;haplotonic&quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing <a class="wiki_link" href="/Lp%20tuning">POL2 error</a>, which is an appropriate error measure for subgroups as well as full p-limit groups.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:3 -->Terrain</h1>
 Subgroup: 2.9/5.9/7<br />
Commas: 250047/250000<br />
Sval name: 6&amp;21<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain">domain</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~10/9 = 182.461<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [63/50 10/9; 250047/250000]<br />
Gencom map: [&lt;3 10/9 -7/9 2/9|, &lt;0 -2/3 -1/3 2/3|]<br />
<br />
Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.0169 cents<br />
<br />
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
<br />
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15">Fifteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Petrtri"></a><!-- ws:end:WikiTextHeadingRule:5 -->Petrtri</h1>
 Subgroup: 2.11/5.13/5<br />
Comma: 2200/2197<br />
Svalname: 3&amp;5<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/10 = 455.012<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 2200/2197]<br />
Gencom map: [&lt;1 0 -1/3 0 -1/3 2/3|, &lt;0 0 -4/3 0 5/3 -1/3|]<br />
<br />
Map: [&lt;1 0 1|, &lt;0 3 1|]<br />
EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.1835 cents<br />
<br />
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<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:7 -->Tridec</h1>
 Subgroup: 2.7/5.11/5.13/5<br />
Commas: 847/845, 1001/1000<br />
Sval name: 5&amp;8<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/10 = 454.556<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 847/845 1001/1000]<br />
Gencom map: [&lt;1 0 -3/4 5/4 -3/4 1/4|, &lt;0 0 0 -4 3 1|]<br />
<br />
Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.3950 cents<br />
<br />
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<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Orgone"></a><!-- ws:end:WikiTextHeadingRule:9 -->Orgone</h1>
 Subgroup: 2.7.11<br />
Commas: 65536/65219<br />
Svals: 4&amp;7<br />
Related temperament: <a class="wiki_link" href="/Gamelismic%20clan#superkleismic">superkleismic</a><br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~77/64 = 323.372<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 77/64; 65536/65219]<br />
Gencom map: [&lt;1 0 0 2 4|, &lt;0 0 0 3 -2|]<br />
<br />
Map: [&lt;1 2 4|, &lt;0 3 -2|]<br />
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4222 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:190:&lt;img src=&quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:190 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11">Eleven note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone15">Fifteen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:11 -->Nestoria</h1>
 Subgroup: 2.3.5.19<br />
Commas: 361/360, 513/512<br />
Sval name: 12&amp;29<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 701.746<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 361/360 513/512]<br />
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 0 -3|]<br />
<br />
Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]<br />
EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4987 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:191:&lt;img src=&quot;/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png" alt="nestoria_171edo.png" title="nestoria_171edo.png" /><!-- ws:end:WikiTextLocalImageRule:191 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria12">Twelve note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria17">Seventeen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Marveltwintri"></a><!-- ws:end:WikiTextHeadingRule:13 -->Marveltwintri</h1>
 Subgroup: 2.5/3.13/9<br />
Comma: 325/324<br />
Svalname: 3&amp;4<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~6/5 = 317.139<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 325/324]<br />
Gencom map: [&lt;1 -1/6 5/6 0 0 -1/3|, &lt;0 -1/2 -3/2 0 0 1|]<br />
<br />
Map: [&lt;1 0 2|, &lt;0 1 -2|]<br />
EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.5985 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:192:&lt;img src=&quot;/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png" alt="marveltwintri_321edo.png" title="marveltwintri_321edo.png" /><!-- ws:end:WikiTextLocalImageRule:192 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri11">Eleven note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri15">Fifteen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc7"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:15 -->Cata</h1>
 Subgroup: 2.3.5.13<br />
Commas: 325/324, 625/624<br />
Sval name: 15&amp;19<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family">catakleismic</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~6/5 = 317.076<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 325/324 625/624]<br />
Gencom map: [&lt;1 0 1 0 0 0|, &lt;0 6 5 0 0 14|]<br />
<br />
Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6001 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:193:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /><!-- ws:end:WikiTextLocalImageRule:193 --><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata15">Fifteen note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata19">Nineteen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc8"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:17 -->Bridgetown</h1>
 Subgroup: 2.3.11/5.13/5<br />
Commas: 352/351, 676/675<br />
Sval name: 5&amp;24<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago">barabados</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~15/13 = 248.399<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/13; 352/351 676/675]<br />
Gencom map: [&lt;1 2 -5/3 0 4/3 1/3|, &lt;0 -2 4 0 -5 1|]<br />
<br />
Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6154 cents<br />
<br />
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<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14">Fourteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:19:&lt;h2&gt; --><h2 id="toc9"><a name="Bridgetown-Music"></a><!-- ws:end:WikiTextHeadingRule:19 -->Music</h2>
 <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow">Paint in the Water 29</a></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones">Igliashon Jones</a><br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:21:&lt;h1&gt; --><h1 id="toc10"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:21 -->Slendric</h1>
 Subgroup: 2.3.7<br />
Comma: 1029/1024<br />
Sval name: 5&amp;21<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~8/7 = 233.688<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 1029/1024]<br />
Gencom map: [&lt;1 1 0 3|, &lt;0 3 0 -1|]<br />
<br />
Map: [&lt;1 1 3|, &lt;0 3 -1|]<br />
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6403 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:195:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:195 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric6">Six note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric11">Eleven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:23:&lt;h2&gt; --><h2 id="toc11"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:23 -->Music</h2>
 <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a></span></span><br />
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a></span></span><br />
by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:25:&lt;h1&gt; --><h1 id="toc12"><a name="Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:25 -->Neutraltet</h1>
 Subgroup: 2.3.11<br />
Commas: 243/242<br />
Svalname: 7&amp;17<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/9 = 350.525<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 243/242]<br />
Gencom map: [&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, 17, 24, 65, 89, 202, 291, 380<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6756 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:196:&lt;img src=&quot;/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="neutraltet_380edo.png" title="neutraltet_380edo.png" /><!-- ws:end:WikiTextLocalImageRule:196 --><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:27:&lt;h1&gt; --><h1 id="toc13"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:27 -->Huntington</h1>
 Subgroup: 2.5.7.13<br />
Commas: 640/637, 10985/10976<br />
Sval name: 10&amp;27<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~16/13 = 357.002<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 16/13; 640/637 10985/10976]<br />
Gencom map: [&lt;1 0 5 4 0 4|, &lt;0 0 -9 -4 0 -1|]<br />
<br />
Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.8455 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:197:&lt;img src=&quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:197 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7">Seven note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington10">Ten note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington17">Seventeen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc14"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:29 -->Pepperoni</h1>
 Subgroup: 2.3.11/7.13/7<br />
Commas: 352/351, 364/363<br />
Sval name: 5&amp;12<br />
Related temperament: The <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Peppermint-24">Pepper fifth</a>, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 703.856<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 352/351 364/363]<br />
Gencom map: [&lt;1 1 0 -8/3 1/3 7/3|, &lt;0 1 0 11/3 -1/3 -10/3|]<br />
<br />
Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
EDOs: 5, 7, 12, 17, 29, 46, 75, 104, 196, 271, 595bcd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9282 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:198:&lt;img src=&quot;/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png" alt="pepperoni_271edo.png" title="pepperoni_271edo.png" /><!-- ws:end:WikiTextLocalImageRule:198 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12">Twelve note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:31:&lt;h1&gt; --><h1 id="toc15"><a name="Penta"></a><!-- ws:end:WikiTextHeadingRule:31 -->Penta</h1>
 Subgroup: 2.9.7.11<br />
Commas: 896/891, 26411/26244<br />
Svalname: 8&amp;11<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 438.465<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 896/891 26411/26244]<br />
Gencom map: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]<br />
<br />
Map: [&lt;1 0 -1 6|, &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>: 0.9531 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta13">Thirteen chromatic note scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta17">Seventeen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:33:&lt;h1&gt; --><h1 id="toc16"><a name="Marveltri"></a><!-- ws:end:WikiTextHeadingRule:33 -->Marveltri</h1>
 Subgroup: 2.5.9/7<br />
Comma: 225/224<br />
Sval name: 3&amp;13<br />
Related temperaments: marvel, 22&amp;47, magic<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~5/4 = 383.638<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 5/4; 225/224]<br />
Gencom map: [&lt;1 2/5 2 -1/5|, &lt;0 -4/5 1 2/5|]<br />
<br />
Map: [&lt;1 0 5|, &lt;0 1 -2|]<br />
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc <br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9602 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri10">Ten note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13">Thirteen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:35:&lt;h1&gt; --><h1 id="toc17"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:35 -->Bossier</h1>
 Subgroup: 2.7.11.13<br />
Commas: 1573/1568, 15488/15379<br />
Sval name: 3&amp;17<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~14/11 = 421.309<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 14/11; 1573/1568 15488/15379]<br />
Gencom map: [&lt;1 0 0 0 1 3|, &lt;0 0 0 8 7 2|]<br />
<br />
Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9904 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:199:&lt;img src=&quot;/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:199 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier11">Eleven note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier14">Fourteen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:37:&lt;h1&gt; --><h1 id="toc18"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:37 -->Shoe</h1>
 Subgroup: 2.5.7.11.13<br />
Commas: 176/175, 640/637, 847/845<br />
Sval name: 16&amp;21<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~8/7 = 227.108<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 176/175 640/637 847/845]<br />
Gencom map: [&lt;1 0 1 3 1 2|, &lt;0 0 7 -1 13 9|]<br />
<br />
Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]<br />
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.331 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:200:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="shoe_37edo.jpg" title="shoe_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:200 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe6">shoe6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe11">shoe11</a> - eleven note note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe16">shoe16</a> - sixteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:39:&lt;h1&gt; --><h1 id="toc19"><a name="Guanyintet"></a><!-- ws:end:WikiTextHeadingRule:39 -->Guanyintet</h1>
 Subgroup: 2.5.7/3.11/3<br />
Commas: 176/175, 540/539<br />
Svalname: 4&amp;9<br />
Related temperaments: guanyin, orwell<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~7/6 = 270.093<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 176/175 540/539]<br />
Gencom map: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]<br />
<br />
Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]<br />
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.348 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:41:&lt;h1&gt; --><h1 id="toc20"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:41 -->Roulette</h1>
 Subgroup: 2.5.7.11.13<br />
Commas: 176/175, 1375/1372, 640/637<br />
Sval name: 6&amp;25<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family">Hemiwürschmidt</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~28/25 = 194.594<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 28/25; 176/175 1375/1372 640/637]<br />
Gencom map: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]<br />
<br />
Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]<br />
EDOs: 6, 7, 13, 19, 25, 31, 37<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.364 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:201:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:201 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette7">roulette7</a> - seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette13">roulette13</a> - thirteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19">roulette19</a> - nineteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale">mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:43:&lt;h1&gt; --><h1 id="toc21"><a name="Sentry"></a><!-- ws:end:WikiTextHeadingRule:43 -->Sentry</h1>
 Group: 2.5/3.9/7<br />
Commas: 245/243<br />
Svalname: 3&amp;5<br />
Related temperaments: sensi<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 440.902<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 245/243]<br />
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]<br />
<br />
Map: [&lt;1 0 0|, &lt;0 2 1|]<br />
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.421 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry11">Eleven note note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:45:&lt;h1&gt; --><h1 id="toc22"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:45 -->Garibaldi</h1>
 Group: 2.3.5.7<br />
Commas: 225/224, 3125/3087<br />
Val name: 12&amp;29<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 702.085<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 225/224 3125/3087]<br />
Gencom map: [&lt;1 1 7 11], &lt;0 1 -8 -14|]<br />
<br />
Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br />
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.451 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:202:&lt;img src=&quot;/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png" alt="garibaldi_94edo.png" title="garibaldi_94edo.png" /><!-- ws:end:WikiTextLocalImageRule:202 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12">Twelve note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17">Seventeen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:47:&lt;h1&gt; --><h1 id="toc23"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:47 -->Radon</h1>
 Subgroup: 2.3.7.11<br />
Commas: 896/891, 1029/1024<br />
Sval name: 5&amp;36<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gamelismic%20clan">Rodan</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~8/7 = 234.381<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 896/891 1029/1024]<br />
Gencom map: [&lt;1 1 0 3 6|, &lt;0 3 0 -1 -13|]<br />
<br />
Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
EDOs: 5, 36, 41, 87, 128<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.454 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:203:&lt;img src=&quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:203 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon11">Eleven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16">Sixteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:49:&lt;h1&gt; --><h1 id="toc24"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:49 -->Baldy</h1>
 Subgroup: 2.9.5.7.13<br />
Commas: 225/224, 325/324, 640/637<br />
Sval name: 6&amp;35<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">Garibaldi</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/8 = 204.090<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 225/224 325/324 640/637]<br />
Gencom map: [&lt;1 3/2 3 4 0 2|, &lt;0 1/2 -4 -7 0 10|]<br />
<br />
Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]<br />
EDOs: 6, 11, 17, 23, 29, 35, 41, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 100, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/147edo">147</a>, 488cd, 635cd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.469 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:204:&lt;img src=&quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:204 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6">baldy6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy11">baldy11</a> - eleven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17">baldy17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:51:&lt;h1&gt; --><h1 id="toc25"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:51 -->Photia</h1>
 Subgroup: 2.3.5.17.19<br />
Commas: 171/170, 256/255, 324/323<br />
Sval name: 12&amp;41<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 701.470<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 171/170 256/255 324/323]<br />
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]<br />
<br />
Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.520 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:205:&lt;img src=&quot;/file/view/photia_65edo.png/284863542/photia_65edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /><!-- ws:end:WikiTextLocalImageRule:205 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12">Twelve note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:53:&lt;h1&gt; --><h1 id="toc26"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:53 -->Mabila</h1>
 Subgroup: 2.5.7<br />
Comma: 1071875/1048576<br />
Sval name: 7&amp;9<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~175/128 = 527.236<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 175/128; 1071875/1048576]<br />
Gencom map: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]<br />
<br />
Map: [&lt;1 1 5|, &lt;0 3 -5|]<br />
EDOs: 7, 9, 16, 25, 41, 66, 305bc<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.546 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:206:&lt;img src=&quot;/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:206 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7">Seven note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16">Sixteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:55:&lt;h1&gt; --><h1 id="toc27"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:55 -->Silver</h1>
 Subgroup: 2.5.7.13.17<br />
Commas: 170/169, 640/637, 5525/5488<br />
Sval name: 10&amp;27<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/8 = 842.711<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/8; 170/169 640/637 5525/5488]<br />
Gencom map: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]<br />
<br />
Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br />
EDOs: 7, 10, 17, 27, 37, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 84, 131, 178e, 309cde, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo">487bcdee</a><br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.557 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:207:&lt;img src=&quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:207 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7">silver7</a> -seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver10">silver10</a> - ten note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver17">silver17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:57:&lt;h1&gt; --><h1 id="toc28"><a name="Starlingtet"></a><!-- ws:end:WikiTextHeadingRule:57 -->Starlingtet</h1>
 Group: 2.5/3.7/3<br />
Comma: 126/125<br />
Svalname: 4&amp;15<br />
Related temperaments: starling; becomes myna<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~6/5 = 311.154<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 126/125]<br />
Gencom map: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]<br />
<br />
Map: [&lt;1 0 -1|, &lt;0 1 3|]<br />
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.680 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet4">Four note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11">Eleven note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:59:&lt;h1&gt; --><h1 id="toc29"><a name="Gariberttet"></a><!-- ws:end:WikiTextHeadingRule:59 -->Gariberttet</h1>
 Subgroup: 2.5/3.7/3.13/11<br />
Commas: 275/273, 847/845<br />
Svalname: 4&amp;29<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/11 = 293.679<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/11; 275/273 847/845]<br />
Gencom map: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]<br />
<br />
Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]<br />
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.694 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:61:&lt;h1&gt; --><h1 id="toc30"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:61 -->Indium</h1>
 Subgroup: 2.5/3.7/3.11/3<br />
Commas: 3025/3024, 3125/3087<br />
Sval name: 8&amp;33<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~12/11 = 147.010<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 12/11; 3025/3024 3125/3087]<br />
Gencom map: [&lt;1 -1/2 -1/2 -1/2 3/2|, &lt;0 -15/4 9/4 25/4 -19/4|]<br />
<br />
Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
EDOs: 33, 41, 49, 57, 106, 204, 253<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.741 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:208:&lt;img src=&quot;/file/view/indium_253edo.png/284867050/indium_253edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/indium_253edo.png/284867050/indium_253edo.png" alt="indium_253edo.png" title="indium_253edo.png" /><!-- ws:end:WikiTextLocalImageRule:208 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium17">Seventeen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:63:&lt;h2&gt; --><h2 id="toc31"><a name="Indium-Music"></a><!-- ws:end:WikiTextHeadingRule:63 -->Music</h2>
 <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow">The Cry of Indium</a></span></span> (in Indium 17) by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank">details</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:65:&lt;h1&gt; --><h1 id="toc32"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:65 -->Hemif</h1>
 Subgroup: 2.3.7.11.13<br />
Commas: 144/143, 243/242, 364/363<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments">Hemififths</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 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="/Lp%20tuning#L2 tuning">L2 error</a>: 1.756 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:209:&lt;img src=&quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:209 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7">Seven note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif10">Ten note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif17">Seventeen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:67:&lt;h1&gt; --><h1 id="toc33"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:67 -->Myna</h1>
 Group: 2.3.5.7<br />
Commas: 126/125, 1728/1715<br />
Val name: 4&amp;27<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~6/5 = 310.146<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 126/125 1728/1715]<br />
Gencom map: [&lt;1 -1 0 1|,&lt;0 10 9 7|]<br />
<br />
Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br />
EDOs: 4, 27, 31, 58, 89, 236c, 325cd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.903 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:210:&lt;img src=&quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:210 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7">Seven note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11">Eleven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15">Fifteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:69:&lt;h1&gt; --><h1 id="toc34"><a name="Lovecraft"></a><!-- ws:end:WikiTextHeadingRule:69 -->Lovecraft</h1>
 Group: 2.11.13<br />
Commas: 1352/1331<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/11 = 279.318<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/11; 1352/1331]<br />
Gencom map: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]<br />
<br />
Map: [&lt;1 1 0|, &lt;0 2 3|]<br />
EDOS: 13, 30, 43, 73, 116b<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.070 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:211:&lt;img src=&quot;/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="lovecraft_116edo.png" title="lovecraft_116edo.png" /><!-- ws:end:WikiTextLocalImageRule:211 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:71:&lt;h1&gt; --><h1 id="toc35"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:71 -->Greeley</h1>
 Subgroup: 2.5/3.7/3.11/3<br />
Commas: 121/120, 126/125<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/10 = 155.776<br />
Related temperament: <a class="wiki_link" href="/Porcupine%20family#Opossum">Opossum</a><br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/10; 121/120 126/125]<br />
Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]<br />
<br />
Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.313 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:212:&lt;img src=&quot;/file/view/greeley_100edo.png/284867960/greeley_100edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="greeley_100edo.png" title="greeley_100edo.png" /><!-- ws:end:WikiTextLocalImageRule:212 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley15">Fifteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:73:&lt;h2&gt; --><h2 id="toc36"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:73 -->Music</h2>
 <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow">A Greeley Steals Halloween</a></span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank">Chris Vaisvil</a> in Greeley 15<br />
<br />
<!-- ws:start:WikiTextHeadingRule:75:&lt;h1&gt; --><h1 id="toc37"><a name="Mothwelltri"></a><!-- ws:end:WikiTextHeadingRule:75 -->Mothwelltri</h1>
 Group: 2.7/3.11<br />
Comma: 99/98<br />
Svalname: 1&amp;4<br />
Related temperament: Orwell<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~7/6 = 273.174<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 99/98]<br />
Gencom map: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]<br />
<br />
Map: [&lt;1 0 1|, &lt;0 1 2|]<br />
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.380 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:77:&lt;h1&gt; --><h1 id="toc38"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:77 -->Skwares</h1>
 Subgroup: 2.3.7.11<br />
Commas: 99/98, 243/242<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">squares</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 425.244<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 99/98 243/242]<br />
Gencom map: [&lt;1 3 0 6 7|, &lt;0 -4 0 -9 -10|]<br />
<br />
Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
EDOs: 5, 8, 11, 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:WikiTextLocalImageRule:213:&lt;img src=&quot;/file/view/skwares_206edo.png/284589566/skwares_206edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /><!-- ws:end:WikiTextLocalImageRule:213 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares11">Eleven note mega albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14">Fourteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:79:&lt;h1&gt; --><h1 id="toc39"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:79 -->Orwell</h1>
 Group: 2.3.5.7.11<br />
Commas: 99/98, 121/120, 176/175<br />
Val name: 9&amp;22<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~7/6 = 271.426<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 99/98 121/120 176/175]<br />
Gencom map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br />
<br />
Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br />
EDOs: 9, 22, 31, 53, 84e<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.574 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:214:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /><!-- ws:end:WikiTextLocalImageRule:214 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:81:&lt;h1&gt; --><h1 id="toc40"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:81 -->Semidim</h1>
 Subgroup: 2.5/3.7/3.11/3.13/3<br />
Commas: 121/120, 169/168, 275/273<br />
Sval name: 8&amp;29<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/10 = 453.242<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 121/120 169/168 275/273]<br />
Gencom map: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]<br />
<br />
Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br />
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde, <br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.577 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:215:&lt;img src=&quot;/file/view/semidim_770edo.png/284868918/semidim_770edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" /><!-- ws:end:WikiTextLocalImageRule:215 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:83:&lt;h1&gt; --><h1 id="toc41"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:83 -->Sensi</h1>
 Group: 2.3.5.7<br />
Commas: 126/125, 245/243<br />
Val name: 19&amp;27<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 443.383<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 126/125 245/243]<br />
Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]<br />
<br />
Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br />
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.647 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:216:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:216 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11">Eleven note mega albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:85:&lt;h1&gt; --><h1 id="toc42"><a name="Magicaltet"></a><!-- ws:end:WikiTextHeadingRule:85 -->Magicaltet</h1>
 Group: 2.5/3.7.11<br />
Commas: 100/99, 385/384<br />
Related temperaments: 4&amp;7&amp;15, magic<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~6/5 = 322.659<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 100/99 385/384]<br />
Gencom map: [&lt;1 -1/2 1/2 2 4|, &lt;0 1/2 -1/2 3 -2|]<br />
<br />
Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]<br />
EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.696 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet11">Eleven note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet15">Fifteen note mega scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:87:&lt;h1&gt; --><h1 id="toc43"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:87 -->Magic</h1>
 Group: 2.3.5.7.11<br />
Commas: 100/99, 225/224, 245/243<br />
Val name: 19&amp;22<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~5/4 = 380.696<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 5/4; 100/99 225/224 245/243]<br />
Gencom map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br />
<br />
Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br />
EDOs: 19, 22, 41, 104, 145<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.741 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:217:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:217 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7">Seven note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10">Ten note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13">Thirteen note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16">Sixteen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:89:&lt;h2&gt; --><h2 id="toc44"><a name="Magic-Music"></a><!-- ws:end:WikiTextHeadingRule:89 -->Music</h2>
 <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a></span> <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:91:&lt;h1&gt; --><h1 id="toc45"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:91 -->Meantone</h1>
 Group: 2.3.5.7<br />
Commas: 81/80, 126/125<br />
Val name: 12&amp;19<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 696.495<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 81/80 126/125]<br />
Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]<br />
<br />
Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br />
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.763 cents<br />
<br />
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<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12">Twelve note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:93:&lt;h1&gt; --><h1 id="toc46"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:93 -->Mohaha</h1>
 Subgroup: 2.3.5.11<br />
Commas: 81/80, 121/120<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">mohajira</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/9 = 348.094<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 81/80 121/120]<br />
Gencom map: [&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: 24, 31, 69d, 100d, 131bd<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.113 cents<br />
<br />
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<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10">Ten note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:95:&lt;h3&gt; --><h3 id="toc47"><a name="Mohaha--Music"></a><!-- ws:end:WikiTextHeadingRule:95 -->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:97:&lt;h1&gt; --><h1 id="toc48"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:97 -->Tutone</h1>
 Subgroup: 2.9.5.7.11<br />
Commas: 81/80, 99/98, 126/125<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/8 = 193.937<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 81/80 99/98 126/125]<br />
Gencom map: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]<br />
<br />
Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
EDOs: 25, 31, 68b, 99b<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.218 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6">Six note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13">Thirteen note chromatic scale</a><br />
<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:99:&lt;h1&gt; --><h1 id="toc49"><a name="Stacks"></a><!-- ws:end:WikiTextHeadingRule:99 -->Stacks</h1>
 Subgroup: 2.9.15.7.11.13<br />
Commas: 100/99, 105/104, 144/143, 196/195<br />
Svalname: 11&amp;30<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 439.146<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 100/99 105/104 144/143 196/195]<br />
Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]<br />
<br />
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="/Lp%20tuning#L2 tuning">L2 error</a>: 3.772 cents<br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks11">Eleven note note chromatic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks19">Nineteen note note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:101:&lt;h1&gt; --><h1 id="toc50"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:101 -->Bleu</h1>
 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="/Lp%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="/Lp%20tuning#L2 tuning">L2 error</a>: 4.292 cents<br />
<br />
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<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8">bleu8</a> - Eight note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu9">bleu9</a> - Nine note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu17">bleu17</a> - Seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:103:&lt;h2&gt; --><h2 id="toc51"><a name="Bleu-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:103 -->Mohoho</h2>
 Subgroup: 2.3.5.11.13<br />
Commas: 66/65, 81/80, 121/120<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/9 = 348.916<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 66/65 81/80 121/120]<br />
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]<br />
<br />
Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
EDOs: 17c, 24, 31, 55, 86de, 141cde<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.829 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:105:&lt;h1&gt; --><h1 id="toc52"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:105 -->Leantone</h1>
 Subgroup: 2.9.5.7.11<br />
Commas: 45/44, 56/55, 81/80<br />
Related temperament: <a class="wiki_link" href="/meanenneadecal">meanenneadecal</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/8 = 192.500<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 45/44 56/55 81/80]<br />
Gencom map: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]<br />
<br />
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 8.680 cents<br />
<br />
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<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6">Six note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:107:&lt;h1&gt; --><h1 id="toc53"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:107 -->Score</h1>
 Subgroup: 2.7.11.13<br />
Commas: 343/338, 847/832<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/8 = 540.099<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/8; 343/338 847/832]<br />
Gencom map: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]<br />
<br />
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
EDOs: 5, 7, 9, 11, 20<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.141 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:223:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="score_20edo.jpg" title="score_20edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:223 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score9">Nine note mega albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score11">Eleven note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:109:&lt;h1&gt; --><h1 id="toc54"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:109 -->Supra</h1>
 Subgroup: 2.3.7.11<br />
Commas: 64/63, 99/98<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth">suprapyth</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 707.192<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 64/63 99/98]<br />
Gencom map: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]<br />
<br />
Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.421 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:224:&lt;img src=&quot;/file/view/supra_56edo.png/284870878/supra_56edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/supra_56edo.png/284870878/supra_56edo.png" alt="supra_56edo.png" title="supra_56edo.png" /><!-- ws:end:WikiTextLocalImageRule:224 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra12">Twelve note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:111:&lt;h2&gt; --><h2 id="toc55"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:111 -->Supraphon</h2>
 Subgroup: 2.3.7.11.13<br />
Commas: 64/63, 78/77, 99/98<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 706.137<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 64/63 78/77 99/98]<br />
Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]<br />
<br />
Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
EDOs: 5, 7, 12, 17<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.132 cents<br />
<br />
<!-- ws:start:WikiTextHeadingRule:113:&lt;h2&gt; --><h2 id="toc56"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:113 -->Machine</h2>
 Subgroup: 2.9.7.11<br />
Commas: 64/63, 99/98<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/8 = 214.384<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 64/63 99/98]<br />
Gencom map: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]<br />
<br />
Map: [&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>: 4.421 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:225:&lt;img src=&quot;/file/view/machine_28edo.png/284594814/machine_28edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/machine_28edo.png/284594814/machine_28edo.png" alt="machine_28edo.png" title="machine_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:225 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine6">Six note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11">Eleven note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:115:&lt;h1&gt; --><h1 id="toc57"><a name="Antikythera"></a><!-- ws:end:WikiTextHeadingRule:115 -->Antikythera</h1>
 Subgroup: 2.9.5.7<br />
Commas: 50/49, 64/63<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara">pajara</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~8/7 = 214.095<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [7/5 8/7; 50/49 64/63]<br />
Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]<br />
<br />
Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br />
EDOS: 4, 6, 10, 16, 22, 28<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.145 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:226:&lt;img src=&quot;/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png" alt="antikythera_28edo.png" title="antikythera_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:226 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera10">Ten note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16">Sixteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:117:&lt;h1&gt; --><h1 id="toc58"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:117 -->Deutone</h1>
 Subgroup: 2.9.5.7.13<br />
Commas: 65/64, 81/80, 91/90<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meanpop</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/8 = 191.059<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 65/64 81/80 91/90]<br />
Gencom map: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]<br />
<br />
Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br />
EDOs: 6, 7, 13, 19, 25e, 44de<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.906 cents<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:227:&lt;img src=&quot;/file/view/deutone_44edo.png/284596634/deutone_44edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/deutone_44edo.png/284596634/deutone_44edo.png" alt="deutone_44edo.png" title="deutone_44edo.png" /><!-- ws:end:WikiTextLocalImageRule:227 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone7">seven note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:119:&lt;h1&gt; --><h1 id="toc59"><a name="Semaphore"></a><!-- ws:end:WikiTextHeadingRule:119 -->Semaphore</h1>
 Subgroup: 2.3.7<br />
Comma: 49/48<br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~7/6 = 250.385<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 49/48]<br />
Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]<br />
<br />
Map: [&lt;1 0 2|, &lt;0 2 1|]<br />
EDOs: 5, 9, 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:WikiTextLocalImageRule:228:&lt;img src=&quot;/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png" alt="semaphore_24edo.png" title="semaphore_24edo.png" /><!-- ws:end:WikiTextLocalImageRule:228 --><br />
<br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14">Fourteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:121:&lt;h1&gt; --><h1 id="toc60"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:121 -->Augment</h1>
 Subgroup: 2.5.7.11<br />
Commas: 56/55, 128/125<br />
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Augmented%20family">augmented</a><br />
<br />
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~8/7 = 228.275<br />
<br />
<a class="wiki_link" href="/Gencom">Gencom</a>: [5/4 8/7; 56/55 128/125]<br />
Gencom map: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]<br />
<br />
Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
EDOs: 3, 6, 9, 15, 21<br />
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.415 cents<br />
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a></body></html>
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