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**Imported revision 351866806 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 351884336 - 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 18:31:04 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-09 20:47:51 UTC</tt>.<br>
: The original revision id was <tt>351866806</tt>.<br>
: The original revision id was <tt>351884336</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/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]


=Myna=  
=Starlingtet=  
Group: 2.3.5.7
Group: 2.5/3.7/3
Commas: 126/125, 1728/1715
Comma: 126/125
Val name: 4&amp;27
Svalname: 4&amp;15
Related temperaments: starling; becomes myna
[[Lp tuning|POL2 generator]]: ~6/5 = 311.154


[[Lp tuning|POL2 generator]]: ~6/5 = 310.146
[[Gencom]]: [2 6/5; 126/125]
Gencom map: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]


[[Gencom]]: [2 6/5; 126/125 1728/1715]
Map: [&lt;1 0 -1|, &lt;0 1 3|]
Gencom map: [&lt;1 -1 0 1|,&lt;0 10 9 7|]
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
[[Lp tuning#L2 tuning|L2 error]]: 1.680 cents


Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
[[xenharmonic/starlingtet4|Four note haplotonic scale]]
EDOs: 4, 27, 31, 58, 89, 236c, 325cd
[[xenharmonic/starlingtet7|Seven note albitonic scale]]
[[Lp tuning#L2 tuning|L2 error]]: 1.903 cents
[[xenharmonic/starlingtet11|Eleven note chromatic scale]]


[[image:myna_89edo.jpg]]
=Gariberttet=
 
Subgroup: 2.5/3.7/3.13/11
[[xenharmonic/myna7|Seven note haplotonic scale]]
Commas: 275/273, 847/845
[[xenharmonic/myna11|Eleven note albitonic scale]]
Svalname: 4&amp;29
[[xenharmonic/myna15|Fifteen note chromatic scale]]


=Meantone=
[[Lp tuning|POL2 generator]]: ~13/11 = 293.679
Group: 2.3.5.7
Commas: 81/80, 126/125
Val name: 12&amp;19


[[Lp tuning|POL2 generator]]: ~3/2 = 696.495
[[Gencom]]: [2 13/11; 275/273 847/845]
Gencom map: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]


[[Gencom]]: [2 3/2; 81/80 126/125]
Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]
Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd
[[Lp tuning#L2 tuning|L2 error]]: 1.694 cents


Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
[[xenharmonic/gariberttet5|Five note haplotonic scale]]
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
[[xenharmonic/gariberttet9|Nine note albitonic scale]]
[[Lp tuning#L2 tuning|L2 error]]: 2.763 cents
[[xenharmonic/gariberttet13|Thirteen note chromatic scale]]


[[image:meantone_31edo.jpg]]
=Indium=  
 
Subgroup: 2.5/3.7/3.11/3
[[xenharmonic/meantone5|Five note haplotonic scale]]
[[xenharmonic/meantone7|Seven note albitonic scale]]
[[xenharmonic/meantone12|Twelve note chromatic scale]]
 
=Starlingtet=
Group: 2.5/3.7/3
Comma: 126/125
Svalname: 4&amp;15
Related temperaments: starling; becomes myna
[[Lp tuning|POL2 generator]]: ~6/5 = 311.154
 
[[Gencom]]: [2 6/5; 126/125]
Gencom map: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]
 
Map: [&lt;1 0 -1|, &lt;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]]
 
=Indium=  
Subgroup: 2.5/3.7/3.11/3
Commas: 3025/3024, 3125/3087
Commas: 3025/3024, 3125/3087
Sval name: 8&amp;33
Sval name: 8&amp;33
Line 587: Line 565:
&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/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]]////&lt;/span&gt;&lt;/span&gt; (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] =&gt; [[@http://chrisvaisvil.com/?p=1532|details]]
&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/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]]////&lt;/span&gt;&lt;/span&gt; (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] =&gt; [[@http://chrisvaisvil.com/?p=1532|details]]


=Magic=  
=Hemif=  
Group: 2.3.5.7.11
Subgroup: 2.3.7.11.13
Commas: 100/99, 225/224, 245/243
Commas: 144/143, 243/242, 364/363
Val name: 19&amp;22
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]


[[Lp tuning|POL2 generator]]: ~5/4 = 380.696
[[Lp tuning|POL2 generator]]: ~11/9 = 351.691


[[Gencom]]: [2 5/4; 100/99 225/224 245/243]
[[Gencom]]: [2 11/9; 144/143 243/242 364/363]
Gencom map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
Gencom map: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]


Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
EDOs: 19, 22, 41, 104, 145
EDOs: 7, 10, 17, 24, 41, 58
[[Lp tuning#L2 tuning|L2 error]]: 2.741 cents
[[Lp tuning#L2 tuning|L2 error]]: 1.756 cents


[[image:xenharmonic/magic_145edo.jpg]]
[[image:hemif_58edo.jpg]]


[[xenharmonic/magic7|Seven note haplotonic scale]]
[[xenharmonic/hemif7|Seven note haplotonic scale]]
[[xenharmonic/magic10|Ten note albitonic scale]]
[[xenharmonic/hemif10|Ten note albitonic scale]]
[[xenharmonic/magic13|Thirteen note chromatic scale]]
[[xenharmonic/hemif17|Seventeen note chromatic scale]]
[[xenharmonic/magic16|Sixteen note mega chromatic scale]]


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


=Gariberttet=
[[Lp tuning|POL2 generator]]: ~6/5 = 310.146
Subgroup: 2.5/3.7/3.13/11
Commas: 275/273, 847/845
Svalname: 4&amp;29


[[Lp tuning|POL2 generator]]: ~13/11 = 293.679
[[Gencom]]: [2 6/5; 126/125 1728/1715]
Gencom map: [&lt;1 -1 0 1|,&lt;0 10 9 7|]


[[Gencom]]: [2 13/11; 275/273 847/845]
Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
Gencom map: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]
EDOs: 4, 27, 31, 58, 89, 236c, 325cd
[[Lp tuning#L2 tuning|L2 error]]: 1.903 cents


Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]
[[image:myna_89edo.jpg]]
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/myna7|Seven note haplotonic scale]]
[[xenharmonic/gariberttet9|Nine note albitonic scale]]
[[xenharmonic/myna11|Eleven note albitonic scale]]
[[xenharmonic/gariberttet13|Thirteen note chromatic scale]]
[[xenharmonic/myna15|Fifteen note chromatic scale]]


=Hemif=
=Skwares=  
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: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]
 
Map: [&lt;1 1 -1 2 4|, &lt;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]]
 
=Skwares=  
Subgroup: 2.3.7.11
Subgroup: 2.3.7.11
Commas: 99/98, 243/242
Commas: 99/98, 243/242
Line 669: Line 625:
[[xenharmonic/skwares14|Fourteen note chromatic scale]]
[[xenharmonic/skwares14|Fourteen note chromatic scale]]


=Sensi=  
=Magic=  
Group: 2.3.5.7
Group: 2.3.5.7.11
Commas: 126/125, 245/243
Commas: 100/99, 225/224, 245/243
Val name: 19&amp;27
Val name: 19&amp;22


[[Lp tuning|POL2 generator]]: ~9/7 = 443.383
[[Lp tuning|POL2 generator]]: ~5/4 = 380.696


[[Gencom]]: [2 9/7; 126/125 245/243]
[[Gencom]]: [2 5/4; 100/99 225/224 245/243]
Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]
Gencom map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]


Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
EDOs: 19, 22, 41, 104, 145
[[Lp tuning#L2 tuning|L2 error]]: 2.647 cents
[[Lp tuning#L2 tuning|L2 error]]: 2.741 cents


[[image:xenharmonic/sensi_46edo.jpg]]
[[image:xenharmonic/magic_145edo.jpg]]


[[xenharmonic/sensi5|Five note haplotonic scale]]
[[xenharmonic/magic7|Seven note haplotonic scale]]
[[xenharmonic/sensi8|Eight note albitonic scale]]
[[xenharmonic/magic10|Ten note albitonic scale]]
[[xenharmonic/sensi11|Eleven note mega albitonic scale]]
[[xenharmonic/magic13|Thirteen note chromatic scale]]
[[xenharmonic/sensi19|Nineteen note chromatic scale]]
[[xenharmonic/magic16|Sixteen note mega chromatic scale]]


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


[[Lp tuning|POL2 generator]]: ~11/10 = 155.776
=Meantone=
Related temperament: [[Porcupine family#Opossum|Opossum]]
Group: 2.3.5.7
[[Gencom]]: [2 11/10; 121/120 126/125]
Commas: 81/80, 126/125
Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]
Val name: 12&amp;19


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
[[Lp tuning|POL2 generator]]: ~3/2 = 696.495
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd
[[Lp tuning#L2 tuning|L2 error]]: 2.313 cents


[[image:greeley_100edo.png]]
[[Gencom]]: [2 3/2; 81/80 126/125]
Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]


[[xenharmonic/greeley8|Eight note albitonic scale]]
Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
[[xenharmonic/greeley15|Fifteen note chromatic scale]]
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
[[Lp tuning#L2 tuning|L2 error]]: 2.763 cents


==Music==
[[image:meantone_31edo.jpg]]
&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=
[[xenharmonic/meantone5|Five note haplotonic scale]]
Subgroup: 2.5/3.7/3.11/3.13/3
[[xenharmonic/meantone7|Seven note albitonic scale]]
Commas: 121/120, 169/168, 275/273
[[xenharmonic/meantone12|Twelve note chromatic scale]]
Sval name: 8&amp;29


[[Lp tuning|POL2 generator]]: ~13/10 = 453.242
=Sensi=
Group: 2.3.5.7
Commas: 126/125, 245/243
Val name: 19&amp;27


[[Gencom]]: [2 13/10; 121/120 169/168 275/273]
[[Lp tuning|POL2 generator]]: ~9/7 = 443.383
Gencom map: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]


Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
[[Gencom]]: [2 9/7; 126/125 245/243]
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,
Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]
[[Lp tuning#L2 tuning|L2 error]]: 2.577 cents


[[image:semidim_770edo.png]]
Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
[[Lp tuning#L2 tuning|L2 error]]: 2.647 cents


[[xenharmonic/semidim8|Eight note albitonic scale]]
[[image:xenharmonic/sensi_46edo.jpg]]
[[xenharmonic/semidim13|Thirteen note chromatic scale]]


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


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


[[Gencom]]: [2 7/6; 99/98 121/120 176/175]
[[Lp tuning|POL2 generator]]: ~11/10 = 155.776
Gencom map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
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|]


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


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


[[xenharmonic/orwell5|Five note haplotonic scale]]
[[xenharmonic/greeley8|Eight note albitonic scale]]
[[xenharmonic/orwell9|Nine note albitonic scale]]
[[xenharmonic/greeley15|Fifteen note chromatic scale]]
[[xenharmonic/orwell13|Thirteen note chromatic scale]]


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


[[Lp tuning|POL2 generator]]: ~6/5 = 322.659
=Semidim=
Subgroup: 2.5/3.7/3.11/3.13/3
Commas: 121/120, 169/168, 275/273
Sval name: 8&amp;29


[[Gencom]]: [2 6/5; 100/99 385/384]
[[Lp tuning|POL2 generator]]: ~13/10 = 453.242
Gencom map: [&lt;1 -1/2 1/2 2 4|, &lt;0 1/2 -1/2 3 -2|]


Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]
[[Gencom]]: [2 13/10; 121/120 169/168 275/273]
EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd
Gencom map: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]
[[Lp tuning#L2 tuning|L2 error]]: 2.696 cents


[[xenharmonic/magicaltet7|Seven note albitonic scale]]
Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
[[xenharmonic/magicaltet11|Eleven note chromatic scale]]
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,
[[xenharmonic/magicaltet15|Fifteen note mega scale]]
[[Lp tuning#L2 tuning|L2 error]]: 2.577 cents


=Sentry=
[[image:semidim_770edo.png]]
Group: 2.5/3.9/7
Commas: 245/243
Svalname: 3&amp;5
Related temperaments: sensi


[[Lp tuning|POL2 generator]]: ~9/7 = 440.902
[[xenharmonic/semidim8|Eight note albitonic scale]]
[[xenharmonic/semidim13|Thirteen note chromatic scale]]


[[Gencom]]: [2 9/7; 245/243]
=Orwell=
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]
Group: 2.3.5.7.11
Commas: 99/98, 121/120, 176/175
Val name: 9&amp;22


Map: [&lt;1 0 0|, &lt;0 2 1|]
[[Lp tuning|POL2 generator]]: ~7/6 = 271.426
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]]
[[Gencom]]: [2 7/6; 99/98 121/120 176/175]
[[xenharmonic/sentry8|Eight note albitonic scale]]
Gencom map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
[[xenharmonic/sentry11|Eleven note note chromatic scale]]


=Mothwelltri=
Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
Group: 2.7/3.11
EDOs: 9, 22, 31, 53, 84e
Comma: 99/98
[[Lp tuning#L2 tuning|L2 error]]: 2.574 cents
Svalname: 1&amp;4
Related temperament: Orwell


[[Lp tuning|POL2 generator]]: ~7/6 = 273.174
[[image:xenharmonic/orwell_84edo.png]]


[[Gencom]]: [2 7/6; 99/98]
[[xenharmonic/orwell5|Five note haplotonic scale]]
Gencom map: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]
[[xenharmonic/orwell9|Nine note albitonic scale]]
[[xenharmonic/orwell13|Thirteen note chromatic scale]]


Map: [&lt;1 0 1|, &lt;0 1 2|]
=Magicaltet=
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc
Group: 2.5/3.7.11
[[Lp tuning#L2 tuning|L2 error]]: 2.380 cents
Commas: 100/99, 385/384
Related temperaments: 4&amp;7&amp;15, magic


[[xenharmonic/mothwelltri5|Five note haplotonic scale]]
[[Lp tuning|POL2 generator]]: ~6/5 = 322.659
[[xenharmonic/mothwelltri9|Nine note albitonic scale]]
[[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]


=Lovecraft=
[[Gencom]]: [2 6/5; 100/99 385/384]
Group: 2.11.13
Gencom map: [&lt;1 -1/2 1/2 2 4|, &lt;0 1/2 -1/2 3 -2|]
Commas: 1352/1331


[[Lp tuning|POL2 generator]]: ~13/11 = 279.318
Map: [&lt;1 0 5 2|, &lt;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


[[Gencom]]: [2 13/11; 1352/1331]
[[xenharmonic/magicaltet7|Seven note albitonic scale]]
Gencom map: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]
[[xenharmonic/magicaltet11|Eleven note chromatic scale]]
[[xenharmonic/magicaltet15|Fifteen note mega scale]]


Map: [&lt;1 1 0|, &lt;0 2 3|]
=Sentry=
EDOS: 13, 30, 43, 73, 116b
Group: 2.5/3.9/7
[[Lp tuning#L2 tuning|L2 error]]: 2.070 cents
Commas: 245/243
Svalname: 3&amp;5
Related temperaments: sensi


[[image:lovecraft_116edo.png]]
[[Lp tuning|POL2 generator]]: ~9/7 = 440.902


[[xenharmonic/lovecraft5|Five note haplotonic scale]]
[[Gencom]]: [2 9/7; 245/243]
[[xenharmonic/lovecraft9|Nine note albitonic scale]]
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]
[[xenharmonic/lovecraft13|Thirteen note chromatic scale]]


=Bleu=
Map: [&lt;1 0 0|, &lt;0 2 1|]
Group: 2.3.7.11.13
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc
Commas: 78/77, 99/98, 144/143
[[Lp tuning#L2 tuning|L2 error]]: 1.421 cents
Sval name: 9&amp;17


[[Lp tuning|POL2 generator]]: ~13/12 = 139.990
[[xenharmonic/sentry5|Five note haplotonic scale]]
[[xenharmonic/sentry8|Eight note albitonic scale]]
[[xenharmonic/sentry11|Eleven note note chromatic scale]]


[[Gencom]]: [2 13/12; 78/77 99/98 144/143]
=Mothwelltri=
Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]
Group: 2.7/3.11
Comma: 99/98
Svalname: 1&amp;4
Related temperament: Orwell


Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
[[Lp tuning|POL2 generator]]: ~7/6 = 273.174
EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
[[Lp tuning#L2 tuning|L2 error]]: 4.292 cents


[[image:blue_60edo.png]]
[[Gencom]]: [2 7/6; 99/98]
Gencom map: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]


[[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
Map: [&lt;1 0 1|, &lt;0 1 2|]
[[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc
[[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
[[Lp tuning#L2 tuning|L2 error]]: 2.380 cents


=Mohaha=
[[xenharmonic/mothwelltri5|Five note haplotonic scale]]
Subgroup: 2.3.5.11
[[xenharmonic/mothwelltri9|Nine note albitonic scale]]
Commas: 81/80, 121/120
[[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]
Related temperament: [[xenharmonic/Meantone family|mohajira]]


[[Lp tuning|POL2 generator]]: ~11/9 = 348.094
=Lovecraft=
Group: 2.11.13
Commas: 1352/1331


[[Gencom]]: [2 11/9; 81/80 121/120]
[[Lp tuning|POL2 generator]]: ~13/11 = 279.318
Gencom map: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
[[Gencom]]: [2 13/11; 1352/1331]
EDOs: 24, 31, 69d, 100d, 131bd
Gencom map: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]
[[Lp tuning#L2 tuning|L2 error]]: 3.113 cents


[[image:mohaha_131edo.png]]
Map: [&lt;1 1 0|, &lt;0 2 3|]
EDOS: 13, 30, 43, 73, 116b
[[Lp tuning#L2 tuning|L2 error]]: 2.070 cents


[[xenharmonic/mohaha7|Seven note albitonic scale]]
[[image:lovecraft_116edo.png]]
[[xenharmonic/mohaha10|Ten note chromatic scale]]


===Music===
[[xenharmonic/lovecraft5|Five note haplotonic scale]]
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]]//// by [[Billy Stiltner]]
[[xenharmonic/lovecraft9|Nine note albitonic scale]]
[[xenharmonic/lovecraft13|Thirteen note chromatic scale]]


==Mohoho==  
=Bleu=  
Subgroup: 2.3.5.11.13
Group: 2.3.7.11.13
Commas: 66/65, 81/80, 121/120
Commas: 78/77, 99/98, 144/143
Sval name: 9&amp;17


[[Lp tuning|POL2 generator]]: ~11/9 = 348.916
[[Lp tuning|POL2 generator]]: ~13/12 = 139.990


[[Gencom]]: [2 11/9; 66/65 81/80 121/120]
[[Gencom]]: [2 13/12; 78/77 99/98 144/143]
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]
Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]


Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
EDOs: 17c, 24, 31, 55, 86de, 141cde
EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
[[Lp tuning#L2 tuning|L2 error]]: 4.829 cents
[[Lp tuning#L2 tuning|L2 error]]: 4.292 cents


=Stacks=
[[image:blue_60edo.png]]
Subgroup: 2.9.15.7.11.13
Commas: 100/99, 105/104, 144/143, 196/195
Svalname: 11&amp;30


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


[[Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
=Mohaha=
Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]
Subgroup: 2.3.5.11
Commas: 81/80, 121/120
Related temperament: [[xenharmonic/Meantone family|mohajira]]


Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
[[Lp tuning|POL2 generator]]: ~11/9 = 348.094
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
[[Lp tuning#L2 tuning|L2 error]]: 3.772 cents


[[xenharmonic/stacks5|Five note haplotonic scale]]
[[Gencom]]: [2 11/9; 81/80 121/120]
[[xenharmonic/stacks8|Eight note albitonic scale]]
Gencom map: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]
[[xenharmonic/stacks11|Eleven note note chromatic scale]]
[[xenharmonic/stacks19|Nineteen note note mega chromatic scale]]


=Tutone=
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
Subgroup: 2.9.5.7.11
EDOs: 24, 31, 69d, 100d, 131bd
Commas: 81/80, 99/98, 126/125
[[Lp tuning#L2 tuning|L2 error]]: 3.113 cents
Related temperament: [[xenharmonic/Meantone family|meantone]]


[[Lp tuning|POL2 generator]]: ~9/8 = 193.937
[[image:mohaha_131edo.png]]


[[Gencom]]: [2 9/8; 81/80 99/98 126/125]
[[xenharmonic/mohaha7|Seven note albitonic scale]]
Gencom map: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]
[[xenharmonic/mohaha10|Ten note chromatic scale]]


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
===Music===
EDOs: 25, 31, 68b, 99b
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]]//// by [[Billy Stiltner]]
[[Lp tuning#L2 tuning|L2 error]]: 3.218 cents


[[xenharmonic/tutone6|Six note haplotonic scale]]
==Mohoho==
[[xenharmonic/tutone7|Seven note albitonic scale]]
Subgroup: 2.3.5.11.13
[[xenharmonic/tutone13|Thirteen note chromatic scale]]
Commas: 66/65, 81/80, 121/120


[[image:tutone_99edo.png]]
[[Lp tuning|POL2 generator]]: ~11/9 = 348.916


=Leantone=
[[Gencom]]: [2 11/9; 66/65 81/80 121/120]
Subgroup: 2.9.5.7.11
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]
Commas: 45/44, 56/55, 81/80
Related temperament: [[meanenneadecal]]


[[Lp tuning|POL2 generator]]: ~9/8 = 192.500
Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
EDOs: 17c, 24, 31, 55, 86de, 141cde
[[Lp tuning#L2 tuning|L2 error]]: 4.829 cents


[[Gencom]]: [2 9/8; 45/44 56/55 81/80]
=Stacks=
Gencom map: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]
Subgroup: 2.9.15.7.11.13
Commas: 100/99, 105/104, 144/143, 196/195
Svalname: 11&amp;30


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
[[Lp tuning|POL2 generator]]: ~9/7 = 439.146
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
[[Lp tuning#L2 tuning|L2 error]]: 8.680 cents


[[image:leantone_81edo.png]]
[[Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]


[[xenharmonic/leantone6|Six note haplotonic scale]]
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
[[xenharmonic/leantone7|Seven note albitonic scale]]
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
[[xenharmonic/leantone13|Thirteen note chromatic scale]]
[[Lp tuning#L2 tuning|L2 error]]: 3.772 cents


=Score=
[[xenharmonic/stacks5|Five note haplotonic scale]]
Subgroup: 2.7.11.13
[[xenharmonic/stacks8|Eight note albitonic scale]]
Commas: 343/338, 847/832
[[xenharmonic/stacks11|Eleven note note chromatic scale]]
[[xenharmonic/stacks19|Nineteen note note mega chromatic scale]]


[[Lp tuning|POL2 generator]]: ~11/8 = 540.099
=Tutone=
Subgroup: 2.9.5.7.11
Commas: 81/80, 99/98, 126/125
Related temperament: [[xenharmonic/Meantone family|meantone]]


[[Gencom]]: [2 11/8; 343/338 847/832]
[[Lp tuning|POL2 generator]]: ~9/8 = 193.937
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 9/8; 81/80 99/98 126/125]
EDOs: 5, 7, 9, 11, 20
Gencom map: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]
[[Lp tuning#L2 tuning|L2 error]]: 3.141 cents


[[image:xenharmonic/score_20edo.jpg]]
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


[[xenharmonic/score5|Five note haplotonic scale]]
[[xenharmonic/tutone6|Six note haplotonic scale]]
[[xenharmonic/score7|Seven note albitonic scale]]
[[xenharmonic/tutone7|Seven note albitonic scale]]
[[xenharmonic/score9|Nine note mega albitonic scale]]
[[xenharmonic/tutone13|Thirteen note chromatic scale]]
[[xenharmonic/score11|Eleven note chromatic scale]]


=Supra=
[[image:tutone_99edo.png]]
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[xenharmonic/suprapyth|suprapyth]]


[[Lp tuning|POL2 generator]]: ~3/2 = 707.192
=Leantone=
Subgroup: 2.9.5.7.11
Commas: 45/44, 56/55, 81/80
Related temperament: [[meanenneadecal]]


[[Gencom]]: [2 3/2; 64/63 99/98]
[[Lp tuning|POL2 generator]]: ~9/8 = 192.500
Gencom map: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
[[Gencom]]: [2 9/8; 45/44 56/55 81/80]
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
Gencom map: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents


[[image:supra_56edo.png]]
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
[[Lp tuning#L2 tuning|L2 error]]: 8.680 cents


[[xenharmonic/supra7|Seven note albitonic scale]]
[[image:leantone_81edo.png]]
[[xenharmonic/supra12|Twelve note chromatic scale]]


==Supraphon==
[[xenharmonic/leantone6|Six note haplotonic scale]]
Subgroup: 2.3.7.11.13
[[xenharmonic/leantone7|Seven note albitonic scale]]
Commas: 64/63, 78/77, 99/98
[[xenharmonic/leantone13|Thirteen note chromatic scale]]


[[Lp tuning|POL2 generator]]: ~3/2 = 706.137
=Score=
Subgroup: 2.7.11.13
Commas: 343/338, 847/832


[[Gencom]]: [2 3/2; 64/63 78/77 99/98]
[[Lp tuning|POL2 generator]]: ~11/8 = 540.099
Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]


Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
[[Gencom]]: [2 11/8; 343/338 847/832]
EDOs: 5, 7, 12, 17
Gencom map: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]
[[Lp tuning#L2 tuning|L2 error]]: 5.132 cents


==Machine==  
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
Subgroup: 2.9.7.11
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
Commas: 64/63, 99/98
Related temperament: [[xenharmonic/suprapyth|suprapyth]]


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


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


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


[[image:machine_28edo.png]]
[[image:supra_56edo.png]]


[[xenharmonic/machine5|Five note haplotonic scale]]
[[xenharmonic/supra7|Seven note albitonic scale]]
[[xenharmonic/machine6|Six note albitonic scale]]
[[xenharmonic/supra12|Twelve note chromatic scale]]
[[xenharmonic/machine11|Eleven note chromatic scale]]


=Antikythera=  
==Supraphon==  
Subgroup: 2.9.5.7
Subgroup: 2.3.7.11.13
Commas: 50/49, 64/63
Commas: 64/63, 78/77, 99/98
Related temperament: [[xenharmonic/pajara|pajara]]


[[Lp tuning|POL2 generator]]: ~8/7 = 214.095
[[Lp tuning|POL2 generator]]: ~3/2 = 706.137


[[Gencom]]: [7/5 8/7; 50/49 64/63]
[[Gencom]]: [2 3/2; 64/63 78/77 99/98]
Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]
Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]


Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
EDOS: 4, 6, 10, 16, 22, 28
EDOs: 5, 7, 12, 17
[[Lp tuning#L2 tuning|L2 error]]: 5.145 cents
[[Lp tuning#L2 tuning|L2 error]]: 5.132 cents


[[image:antikythera_28edo.png]]
==Machine==
Subgroup: 2.9.7.11
Commas: 64/63, 99/98


[[xenharmonic/antikythera6|Six note haplotonic scale]]
[[Lp tuning|POL2 generator]]: ~9/8 = 214.384
[[xenharmonic/antikythera10|Ten note albitonic scale]]
[[xenharmonic/antikythera16|Sixteen note chromatic scale]]


=Deutone=
[[Gencom]]: [2 9/8; 64/63 99/98]
Subgroup: 2.9.5.7.13
Gencom map: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]
Commas: 65/64, 81/80, 91/90
Related temperament: [[xenharmonic/Meantone family|meanpop]]


[[Lp tuning|POL2 generator]]: ~9/8 = 191.059
Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
EDOs: 5, 6, 11, 17, 28
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents


[[Gencom]]: [2 9/8; 65/64 81/80 91/90]
[[image:machine_28edo.png]]
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|]
[[xenharmonic/machine5|Five note haplotonic scale]]
EDOs: 6, 7, 13, 19, 25e, 44de
[[xenharmonic/machine6|Six note albitonic scale]]
[[Lp tuning#L2 tuning|L2 error]]: 4.906 cents
[[xenharmonic/machine11|Eleven note chromatic scale]]


[[image:deutone_44edo.png]]
=Antikythera=
Subgroup: 2.9.5.7
Commas: 50/49, 64/63
Related temperament: [[xenharmonic/pajara|pajara]]


[[xenharmonic/deutone6|Six note haplotonic scale]]
[[Lp tuning|POL2 generator]]: ~8/7 = 214.095
[[xenharmonic/deutone7|seven note albitonic scale]]
[[xenharmonic/deutone13|Thirteen note chromatic scale]]


=Semaphore=
[[Gencom]]: [7/5 8/7; 50/49 64/63]
Subgroup: 2.3.7
Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]
Comma: 49/48


[[Lp tuning|POL2 generator]]: ~7/6 = 250.385
Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
EDOS: 4, 6, 10, 16, 22, 28
[[Lp tuning#L2 tuning|L2 error]]: 5.145 cents


[[Gencom]]: [2 7/6; 49/48]
[[image:antikythera_28edo.png]]
Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]


Map: [&lt;1 0 2|, &lt;0 2 1|]
[[xenharmonic/antikythera6|Six note haplotonic scale]]
EDOs: 5, 9, 14, 19, 24, 67c, 91c
[[xenharmonic/antikythera10|Ten note albitonic scale]]
[[Lp tuning#L2 tuning|L2 error]]: 5.046 cents
[[xenharmonic/antikythera16|Sixteen note chromatic scale]]


[[image:semaphore_24edo.png]]
=Deutone=
Subgroup: 2.9.5.7.13
Commas: 65/64, 81/80, 91/90
Related temperament: [[xenharmonic/Meantone family|meanpop]]


[[xenharmonic/semiphore5|Five note haplotonic scale]]
[[Lp tuning|POL2 generator]]: ~9/8 = 191.059
[[xenharmonic/semiphore9|Nine note albitonic scale]]
 
[[xenharmonic/semiphore14|Fourteen note chromatic scale]]
[[Gencom]]: [2 9/8; 65/64 81/80 91/90]
Gencom map: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]


=Augment=
Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
Subgroup: 2.5.7.11
EDOs: 6, 7, 13, 19, 25e, 44de
Commas: 56/55, 128/125
[[Lp tuning#L2 tuning|L2 error]]: 4.906 cents
Related temperament: [[xenharmonic/Augmented family|augmented]]


[[Lp tuning|POL2 generator]]: ~8/7 = 228.275
[[image:deutone_44edo.png]]


[[Gencom]]: [5/4 8/7; 56/55 128/125]
[[xenharmonic/deutone6|Six note haplotonic scale]]
Gencom map: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]
[[xenharmonic/deutone7|seven note albitonic scale]]
[[xenharmonic/deutone13|Thirteen note chromatic scale]]


Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
=Semaphore=
EDOs: 3, 6, 9, 15, 21
Subgroup: 2.3.7
[[Lp tuning#L2 tuning|L2 error]]: 5.415 cents
Comma: 49/48


[[image:augment_21edo.png]]
[[Lp tuning|POL2 generator]]: ~7/6 = 250.385


[[xenharmonic/augment6|Six note haplotonic scale]]
[[Gencom]]: [2 7/6; 49/48]
[[xenharmonic/augment9|Nine note albitonic scale]]
Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]
[[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div>
 
<h4>Original HTML content:</h4>
Map: [&lt;1 0 2|, &lt;0 2 1|]
<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="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:151 --&gt;&lt;!-- ws:start:WikiTextTocRule:152: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:152 --&gt;&lt;!-- ws:start:WikiTextTocRule:153: --&gt; | &lt;a href="#Starlingtet"&gt;Starlingtet&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="#Magic"&gt;Magic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:156 --&gt;&lt;!-- ws:start:WikiTextTocRule:157: --&gt;&lt;!-- ws:end:WikiTextTocRule:157 --&gt;&lt;!-- ws:start:WikiTextTocRule:158: --&gt; | &lt;a href="#Gariberttet"&gt;Gariberttet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:158 --&gt;&lt;!-- ws:start:WikiTextTocRule:159: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:159 --&gt;&lt;!-- ws:start:WikiTextTocRule:160: --&gt; | &lt;a href="#Skwares"&gt;Skwares&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;
EDOs: 5, 9, 14, 19, 24, 67c, 91c
&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;
[[Lp tuning#L2 tuning|L2 error]]: 5.046 cents
&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
 
&lt;hr /&gt;
[[image:semaphore_24edo.png]]
&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;
[[xenharmonic/semiphore5|Five note haplotonic scale]]
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;
[[xenharmonic/semiphore9|Nine note albitonic scale]]
&lt;br /&gt;
[[xenharmonic/semiphore14|Fourteen note chromatic scale]]
&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;
 
Subgroup: 2.9/5.9/7&lt;br /&gt;
=Augment=
Commas: 250047/250000&lt;br /&gt;
Subgroup: 2.5.7.11
Sval name: 6&amp;amp;21&lt;br /&gt;
Commas: 56/55, 128/125
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&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;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~10/9 = 182.461&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;
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;
&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;
&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;
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;
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;
&lt;br /&gt;
Line 1,591: Line 1,591:
&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="Myna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:55 --&gt;Myna&lt;/h1&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;
  Group: 2.3.5.7&lt;br /&gt;
  Group: 2.5/3.7/3&lt;br /&gt;
Commas: 126/125, 1728/1715&lt;br /&gt;
Comma: 126/125&lt;br /&gt;
Val name: 4&amp;amp;27&lt;br /&gt;
Svalname: 4&amp;amp;15&lt;br /&gt;
Related temperaments: starling; becomes myna&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 311.154&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 310.146&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 126/125]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 0 1|, &amp;lt;0 4/3 1/3 -5/3|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 126/125 1728/1715]&lt;br /&gt;
Map: [&amp;lt;1 0 -1|, &amp;lt;0 1 3|]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 0 1|,&amp;lt;0 10 9 7|]&lt;br /&gt;
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.680 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 9 9 8|, &amp;lt;0 -10 -9 -7|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet4"&gt;Four note haplotonic scale&lt;/a&gt;&lt;br /&gt;
EDOs: 4, 27, 31, 58, 89, 236c, 325cd&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet7"&gt;Seven 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;: 1.903 cents&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:WikiTextLocalImageRule:208:&amp;lt;img src=&amp;quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:208 --&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;
Subgroup: 2.5/3.7/3.13/11&lt;br /&gt;
Commas: 275/273, 847/845&lt;br /&gt;
Svalname: 4&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/11 = 293.679&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11"&gt;Eleven note albitonic 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:57:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:57 --&gt;Meantone&lt;/h1&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/11; 275/273 847/845]&lt;br /&gt;
Group: 2.3.5.7&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0 0 0|, &amp;lt;0 -8/3 1/3 7/3 -1/2 1/2|]&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;
Map: [&amp;lt;1 0 0 0|, &amp;lt;0 3 5 1|]&lt;br /&gt;
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.694 cents&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;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet5"&gt;Five note haplotonic 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/gariberttet9"&gt;Nine note albitonic 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;
Map: [&amp;lt;1 0 -4 -13|, &amp;lt;0 1 4 10|]&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;
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b&lt;br /&gt;
  Subgroup: 2.5/3.7/3.11/3&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;
Commas: 3025/3024, 3125/3087&lt;br /&gt;
&lt;br /&gt;
Sval name: 8&amp;amp;33&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:209:&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:209 --&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="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;!-- ws:start:WikiTextHeadingRule:59:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="Starlingtet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:59 --&gt;Starlingtet&lt;/h1&gt;
Group: 2.5/3.7/3&lt;br /&gt;
Comma: 126/125&lt;br /&gt;
Svalname: 4&amp;amp;15&lt;br /&gt;
Related temperaments: starling; becomes myna&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 311.154&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 126/125]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 0 1|, &amp;lt;0 4/3 1/3 -5/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -1|, &amp;lt;0 1 3|]&lt;br /&gt;
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.680 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet4"&gt;Four note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet7"&gt;Seven note albitonic 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;!-- 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;
Commas: 3025/3024, 3125/3087&lt;br /&gt;
Sval name: 8&amp;amp;33&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~12/11 = 147.010&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~12/11 = 147.010&lt;br /&gt;
Line 1,663: Line 1,641:
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.741 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.741 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:210:&amp;lt;img src=&amp;quot;/file/view/indium_253edo.png/284867050/indium_253edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/indium_253edo.png/284867050/indium_253edo.png" alt="indium_253edo.png" title="indium_253edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:210 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:208:&amp;lt;img src=&amp;quot;/file/view/indium_253edo.png/284867050/indium_253edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/indium_253edo.png/284867050/indium_253edo.png" alt="indium_253edo.png" title="indium_253edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:208 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8"&gt;Eight note albitonic 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;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: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;!-- 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;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:65:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:65 --&gt;Magic&lt;/h1&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;
  Group: 2.3.5.7.11&lt;br /&gt;
  Subgroup: 2.3.7.11.13&lt;br /&gt;
Commas: 100/99, 225/224, 245/243&lt;br /&gt;
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
Val name: 19&amp;amp;22&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments"&gt;Hemififths&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;: ~5/4 = 380.696&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 351.691&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;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 144/143 243/242 364/363]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 -1 2 4|, &amp;lt;0 2 0 13 5 -1|]&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;
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
EDOs: 19, 22, 41, 104, 145&lt;br /&gt;
EDOs: 7, 10, 17, 24, 41, 58&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;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.756 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:211:&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:211 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:209:&amp;lt;img src=&amp;quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:209 --&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;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&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;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif10"&gt;Ten note albitonic scale&lt;/a&gt;&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/hemif17"&gt;Seventeen 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:67:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc33"&gt;&lt;a name="Magic-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:67 --&gt;Music&lt;/h2&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;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: 2.3.5.7&lt;br /&gt;
Commas: 126/125, 1728/1715&lt;br /&gt;
Val name: 4&amp;amp;27&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="Gariberttet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:69 --&gt;Gariberttet&lt;/h1&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 310.146&lt;br /&gt;
Subgroup: 2.5/3.7/3.13/11&lt;br /&gt;
Commas: 275/273, 847/845&lt;br /&gt;
Svalname: 4&amp;amp;29&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 = 293.679&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 126/125 1728/1715]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 0 1|,&amp;lt;0 10 9 7|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/11; 275/273 847/845]&lt;br /&gt;
Map: [&amp;lt;1 9 9 8|, &amp;lt;0 -10 -9 -7|]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0 0 0|, &amp;lt;0 -8/3 1/3 7/3 -1/2 1/2|]&lt;br /&gt;
EDOs: 4, 27, 31, 58, 89, 236c, 325cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.903 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 0|, &amp;lt;0 3 5 1|]&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:210:&amp;lt;img src=&amp;quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:210 --&gt;&lt;br /&gt;
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.694 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11"&gt;Eleven note albitonic 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;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:71:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc35"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:71 --&gt;Hemif&lt;/h1&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;
  Subgroup: 2.3.7.11.13&lt;br /&gt;
  Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
Commas: 99/98, 243/242&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;&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;: ~11/9 = 351.691&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;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 144/143 243/242 364/363]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 -1 2 4|, &amp;lt;0 2 0 13 5 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.756 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:212:&amp;lt;img src=&amp;quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:212 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif10"&gt;Ten note albitonic 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;!-- ws:start:WikiTextHeadingRule:73:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc36"&gt;&lt;a name="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:73 --&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;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 425.244&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 9/7; 99/98 243/242]&lt;br /&gt;
Line 1,747: Line 1,703:
&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;: 2.457 cents&lt;br /&gt;
&lt;br /&gt;
&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;
&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;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/skwares8"&gt;Eight note albitonic 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/skwares11"&gt;Eleven note mega 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/skwares14"&gt;Fourteen note chromatic scale&lt;/a&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;
Group: 2.3.5.7.11&lt;br /&gt;
Commas: 100/99, 225/224, 245/243&lt;br /&gt;
Val name: 19&amp;amp;22&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;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 2 -1 6|, &amp;lt;0 5 1 12 -8|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&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;!-- 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;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;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10"&gt;Ten note albitonic scale&lt;/a&gt;&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;!-- 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;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;!-- 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;
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;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 696.495&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;
Gencom map: [&amp;lt;1 1 0 -3|, &amp;lt;0 1 4 10|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13|, &amp;lt;0 1 4 10|]&lt;br /&gt;
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b&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;
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&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="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;
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Revision as of 20:47, 9 July 2012

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[[toc|flat]]
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----

=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]]

=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]]

=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]]

=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]]

=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]]

=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

=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]]

=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]]

=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]]

=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]]

=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]]

=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]]

=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]]

=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]]

==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

=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]]

=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]]

=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]]

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<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="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:145 --><!-- ws:start:WikiTextTocRule:146: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:146 --><!-- ws:start:WikiTextTocRule:147: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:147 --><!-- ws:start:WikiTextTocRule:148: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:148 --><!-- ws:start:WikiTextTocRule:149: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:149 --><!-- ws:start:WikiTextTocRule:150: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:150 --><!-- ws:start:WikiTextTocRule:151: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:151 --><!-- ws:start:WikiTextTocRule:152: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:152 --><!-- ws:start:WikiTextTocRule:153: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:153 --><!-- ws:start:WikiTextTocRule:154: --><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextTocRule:156: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:156 --><!-- ws:start:WikiTextTocRule:157: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:157 --><!-- ws:start:WikiTextTocRule:158: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:158 --><!-- ws:start:WikiTextTocRule:159: --><!-- ws:end:WikiTextTocRule:159 --><!-- ws:start:WikiTextTocRule:160: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:160 --><!-- ws:start:WikiTextTocRule:161: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:161 --><!-- ws:start:WikiTextTocRule:162: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:162 --><!-- ws:start:WikiTextTocRule:163: --><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Tutone">Tutone</a><!-- 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 />
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<!-- 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 />
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<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 />
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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 />
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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 />
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<!-- 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 />
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<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 />
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<!-- 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 />
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<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/10 = 454.556<br />
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<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 />
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<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 />
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<!-- 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 />
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<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 />
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<!-- 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 />
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<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 701.746<br />
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<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 />
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<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 />
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<!-- 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 />
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<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~6/5 = 317.139<br />
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<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 />
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<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 />
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<!-- 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 />
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<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 />
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<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 />
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<!-- 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 />
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<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 />
<!-- ws:start:WikiTextLocalImageRule:194:&lt;img src=&quot;/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="bridgetown_29edo.png" title="bridgetown_29edo.png" /><!-- ws:end:WikiTextLocalImageRule:194 --><br />
<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="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:43 -->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:45:&lt;h1&gt; --><h1 id="toc22"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:45 -->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:47:&lt;h1&gt; --><h1 id="toc23"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:47 -->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 />
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<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:49:&lt;h1&gt; --><h1 id="toc24"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:49 -->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 />
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<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:51:&lt;h1&gt; --><h1 id="toc25"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:51 -->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:53:&lt;h1&gt; --><h1 id="toc26"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:53 -->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 />
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<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:55:&lt;h1&gt; --><h1 id="toc27"><a name="Starlingtet"></a><!-- ws:end:WikiTextHeadingRule:55 -->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:57:&lt;h1&gt; --><h1 id="toc28"><a name="Gariberttet"></a><!-- ws:end:WikiTextHeadingRule:57 -->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:59:&lt;h1&gt; --><h1 id="toc29"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:59 -->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 />
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<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:61:&lt;h2&gt; --><h2 id="toc30"><a name="Indium-Music"></a><!-- ws:end:WikiTextHeadingRule:61 -->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:63:&lt;h1&gt; --><h1 id="toc31"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:63 -->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:65:&lt;h1&gt; --><h1 id="toc32"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:65 -->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:67:&lt;h1&gt; --><h1 id="toc33"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:67 -->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:211:&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:211 --><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:69:&lt;h1&gt; --><h1 id="toc34"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:69 -->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:212:&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:212 --><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:71:&lt;h2&gt; --><h2 id="toc35"><a name="Magic-Music"></a><!-- ws:end:WikiTextHeadingRule:71 -->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:73:&lt;h1&gt; --><h1 id="toc36"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:73 -->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 />
<!-- ws:start:WikiTextLocalImageRule:213:&lt;img src=&quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:213 --><br />
<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:75:&lt;h1&gt; --><h1 id="toc37"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:75 -->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:214:&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:214 --><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:77:&lt;h1&gt; --><h1 id="toc38"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:77 -->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:215:&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:215 --><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:79:&lt;h2&gt; --><h2 id="toc39"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:79 -->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: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:216:&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:216 --><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="Orwell"></a><!-- ws:end:WikiTextHeadingRule:83 -->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:217:&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:217 --><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: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="Sentry"></a><!-- ws:end:WikiTextHeadingRule:87 -->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:89:&lt;h1&gt; --><h1 id="toc44"><a name="Mothwelltri"></a><!-- ws:end:WikiTextHeadingRule:89 -->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:91:&lt;h1&gt; --><h1 id="toc45"><a name="Lovecraft"></a><!-- ws:end:WikiTextHeadingRule:91 -->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:218:&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:218 --><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:93:&lt;h1&gt; --><h1 id="toc46"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:93 -->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 />
<!-- ws:start:WikiTextLocalImageRule:219:&lt;img src=&quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /><!-- ws:end:WikiTextLocalImageRule:219 --><br />
<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:95:&lt;h1&gt; --><h1 id="toc47"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:95 -->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 />
<!-- ws:start:WikiTextLocalImageRule:220:&lt;img src=&quot;/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="mohaha_131edo.png" title="mohaha_131edo.png" /><!-- ws:end:WikiTextLocalImageRule:220 --><br />
<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:97:&lt;h3&gt; --><h3 id="toc48"><a name="Mohaha--Music"></a><!-- ws:end:WikiTextHeadingRule:97 -->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:99:&lt;h2&gt; --><h2 id="toc49"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:99 -->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:101:&lt;h1&gt; --><h1 id="toc50"><a name="Stacks"></a><!-- ws:end:WikiTextHeadingRule:101 -->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:103:&lt;h1&gt; --><h1 id="toc51"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:103 -->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 />
<!-- ws:start:WikiTextLocalImageRule:221:&lt;img src=&quot;/file/view/tutone_99edo.png/284592004/tutone_99edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="tutone_99edo.png" title="tutone_99edo.png" /><!-- ws:end:WikiTextLocalImageRule:221 --><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 />
<!-- ws:start:WikiTextLocalImageRule:222:&lt;img src=&quot;/file/view/leantone_81edo.png/284593104/leantone_81edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/leantone_81edo.png/284593104/leantone_81edo.png" alt="leantone_81edo.png" title="leantone_81edo.png" /><!-- ws:end:WikiTextLocalImageRule:222 --><br />
<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 />
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<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 />
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<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 />
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<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 />
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<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 />
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<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 />
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<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 />
<br />
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<br />
<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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