Chromatic pairs: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 472626410 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 472770436 - 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>2013-11-27 01:02:47 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-11-27 12:10:45 UTC</tt>.<br>
: The original revision id was <tt>472626410</tt>.<br>
: The original revision id was <tt>472770436</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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EDOs: 6, 16, 22, 28, 50, 122, 172, 222
EDOs: 6, 16, 22, 28, 50, 122, 172, 222
RMS error: 0.3997
[[Tp tuning#T2%20tuning|RMS error]]: 0.3997


[[xenharmonic/wizz6|Six note haplotonic scale]]
[[xenharmonic/wizz6|Six note haplotonic scale]]
[[xenharmonic/wizz10|Ten note albitonic scale]]
[[xenharmonic/wizz10|Ten note albitonic scale]]
[[xenharmonic/wizz16|Sixteen note chromatic scale]]
[[xenharmonic/wizz16|Sixteen note chromatic scale]]
=Bossier=
Subgroup: 2.7.11.13
Commas: 1573/1568, 15488/15379
Sval name: 3&amp;17
[[Tp tuning|POT2 generator]]: ~14/11 = 421.309
[[Gencom]]: [2 14/11; 1573/1568 15488/15379]
Gencom map: [&lt;1 0 0 0 1 3|, &lt;0 0 0 8 7 2|]
Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd
[[Tp tuning#T2%20tuning|RMS error]]: 0.4043 cents
[[image:bossier_225edo.jpg]]
[[xenharmonic/bossier8|Eight note albitonic scale]]
[[xenharmonic/bossier11|Eleven note chromatic scale]]
[[xenharmonic/bossier14|Fourteen note mega chromatic scale]]


=Penta=  
=Penta=  
Line 380: Line 400:
Map: [&lt;1 0 5|, &lt;0 1 -2|]
Map: [&lt;1 0 5|, &lt;0 1 -2|]
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc
[[Tp tuning#T2%20tuning|T2 error]]: 0.9602 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.4801 cents


[[xenharmonic/marveltri7|Seven note albitonic scale]]
[[xenharmonic/marveltri7|Seven note albitonic scale]]
Line 386: Line 406:
[[xenharmonic/marveltri13|Thirteen note mega chromatic scale]]
[[xenharmonic/marveltri13|Thirteen note mega chromatic scale]]


=Bossier=  
=Edson=  
Subgroup: 2.7.11.13
Subgroup: 2.3.7/5.11/5.13/5
Commas: 1573/1568, 15488/15379
Commas: 196/195, 352/351, 364/363
Sval name: 3&amp;17
Related temperaments: [[Hemifamity family#Pele|pele]], cassandra


[[Tp tuning|POT2 generator]]: ~14/11 = 421.309
[[Tp tuning|POT2 generator]]: ~3/2 = 703.414


[[Gencom]]: [2 14/11; 1573/1568 15488/15379]
[[Gencom]]: [2 3/2; 196/195, 352/351, 364/363]
Gencom map: [&lt;1 0 0 0 1 3|, &lt;0 0 0 8 7 2|]
 
Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd
[[Tp tuning#T2%20tuning|T2 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]]
 
=Edson=
Subgroup: 2.3.7/5.11/5.13/5
Commas: 196/195, 352/351, 364/363
Related temperaments: [[Hemifamity family#Pele|pele]], cassandra
 
[[Tp tuning|POT2 generator]]: ~3/2 = 703.414
 
[[Gencom]]: [2 3/2; 196/195, 352/351, 364/363]
Gencom map: [&lt;1 1 -5 -1 2 4|, &lt;0 1 29/4 5/4 -11/4 -23/4|]
Gencom map: [&lt;1 1 -5 -1 2 4|, &lt;0 1 29/4 5/4 -11/4 -23/4|]


Map: [&lt;1 0 10 17 22|, &lt;0 1 -6 -10 -13|]
Map: [&lt;1 0 10 17 22|, &lt;0 1 -6 -10 -13|]
EDOs: 12, 17, 29, 621bcde
EDOs: 12, 17, 29, 621bcde
[[Tp tuning#T2%20tuning|T2 error]]: 1.250 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.5102 cents


[[xenharmonic/edson5|Five note haplotonic scale]]
[[xenharmonic/edson5|Five note haplotonic scale]]
Line 425: Line 425:
[[xenharmonic/edson17|Seventeen note mega chromatic scale]]
[[xenharmonic/edson17|Seventeen note mega chromatic scale]]


=Shoe=  
=Photia=  
Subgroup: 2.5.7.11.13
Subgroup: 2.3.5.17.19
Commas: 176/175, 640/637, 847/845
Commas: 171/170, 256/255, 324/323
Sval name: 16&amp;21
Sval name: 12&amp;41
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


[[Tp tuning|POT2 generator]]: ~8/7 = 227.108
[[Tp tuning|POT2 generator]]: ~3/2 = 701.470
 
[[Gencom]]: [2 3/2; 171/170 256/255 324/323]
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]
 
Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d
[[Tp tuning#T2%20tuning|RMS error]]: 0.5374 cents
 
[[image:photia_65edo.png]]
 
[[xenharmonic/photia7|Seven note albitonic scale]]
[[xenharmonic/photia12|Twelve note chromatic scale]]
 
=Shoe=
Subgroup: 2.5.7.11.13
Commas: 176/175, 640/637, 847/845
Sval name: 16&amp;21
 
[[Tp tuning|POT2 generator]]: ~8/7 = 227.108


[[Gencom]]: [2 8/7; 176/175 640/637 847/845]
[[Gencom]]: [2 8/7; 176/175 640/637 847/845]
Line 437: Line 457:
Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce
[[Tp tuning#T2%20tuning|T2 error]]: 1.331 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.5433 cents


[[image:xenharmonic/shoe_37edo.jpg]]
[[image:xenharmonic/shoe_37edo.jpg]]
Line 446: Line 466:
[[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]
[[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]


=Guanyintet=  
=Roulette=  
Subgroup: 2.5.7/3.11/3
Subgroup: 2.5.7.11.13
Commas: 176/175, 540/539
Commas: 176/175, 1375/1372, 640/637
Svalname: 4&amp;9
Sval name: 6&amp;25
Related temperaments: guanyin, orwell
Related temperament: [[xenharmonic/Würschmidt family|Hemiwürschmidt]]


[[Tp tuning|POT2 generator]]: ~7/6 = 270.093
[[Tp tuning|POT2 generator]]: ~28/25 = 194.594


[[Gencom]]: [2 7/6; 176/175 540/539]
[[Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
Gencom map: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]
 
Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd
[[Tp tuning#T2%20tuning|T2 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&amp;25
Related temperament: [[xenharmonic/Würschmidt family|Hemiwürschmidt]]
 
[[Tp tuning|POT2 generator]]: ~28/25 = 194.594
 
[[Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
Gencom map: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]
Gencom map: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]


Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
EDOs: 6, 7, 13, 19, 25, 31, 37
EDOs: 6, 7, 13, 19, 25, 31, 37
[[Tp tuning#T2%20tuning|T2 error]]: 1.364 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.5567 cents


[[image:xenharmonic/roulette_37edo.jpg]]
[[image:xenharmonic/roulette_37edo.jpg]]
Line 487: Line 488:
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]


=Sentry=  
=Silver=  
Group: 2.5/3.9/7
Subgroup: 2.5.7.13.17
Commas: 245/243
Commas: 170/169, 640/637, 5525/5488
Svalname: 3&amp;5
Sval name: 10&amp;27
Related temperaments: sensi


[[Tp tuning|POT2 generator]]: ~9/7 = 440.902
[[Tp tuning|POT2 generator]]: ~13/8 = 842.711


[[Gencom]]: [2 9/7; 245/243]
[[Gencom]]: [2 13/8; 170/169 640/637 5525/5488]
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]
Gencom map: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]


Map: [&lt;1 0 0|, &lt;0 2 1|]
Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc
EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, 178e, 309cde, [[xenharmonic/487edo|487bcdee]]
[[Tp tuning#T2%20tuning|T2 error]]: 1.421 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.5886 cents


[[xenharmonic/sentry5|Five note haplotonic scale]]
[[image:silver_487edo.jpg]]
[[xenharmonic/sentry8|Eight note albitonic scale]]
[[xenharmonic/sentry11|Eleven note note chromatic scale]]


=Garibaldi=
[[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]]
Group: 2.3.5.7
[[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
Commas: 225/224, 3125/3087
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
Val name: 12&amp;29


[[Tp tuning|POT2 generator]]: ~3/2 = 702.085
=Baldy=
Subgroup: 2.9.5.7.13
Commas: 225/224, 325/324, 640/637
Sval name: 6&amp;35
Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]


[[Gencom]]: [2 3/2; 225/224 3125/3087]
[[Tp tuning|POT2 generator]]: ~9/8 = 204.090
Gencom map: [&lt;1 1 7 11], &lt;0 1 -8 -14|]


Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
[[Gencom]]: [2 9/8; 225/224 325/324 640/637]
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c
Gencom map: [&lt;1 3/2 3 4 0 2|, &lt;0 1/2 -4 -7 0 10|]
[[Tp tuning#T2%20tuning|T2 error]]: 1.451 cents


[[image:garibaldi_94edo.png]]
Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]], 488cd, 635cd
[[Tp tuning#T2%20tuning|RMS error]]: 0.5999 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]]
 
=Guanyintet=
Subgroup: 2.5.7/3.11/3
Commas: 176/175, 540/539
Svalname: 4&amp;9
Related temperaments: guanyin, orwell
 
[[Tp tuning|POT2 generator]]: ~7/6 = 270.093
 
[[Gencom]]: [2 7/6; 176/175 540/539]
Gencom map: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]
 
Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd
[[Tp tuning#T2%20tuning|RMS error]]: 0.6028 cents


[[xenharmonic/garibaldi12|Twelve note albitonic scale]]
[[xenharmonic/guanyintet5|Five note haplotonic scale]]
[[xenharmonic/garibaldi17|Seventeen note chromatic scale]]
[[xenharmonic/guanyintet9|Nine note albitonic scale]]
[[xenharmonic/guanyintet13|Thirteen note chromatic scale]]


=Radon=  
=Radon=  
Line 538: Line 561:
Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
EDOs: 5, 36, 41, 87, 128
EDOs: 5, 36, 41, 87, 128
[[Tp tuning#T2%20tuning|T2 error]]: 1.454 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.6502 cents


[[image:radon_128edo.jpg]]
[[image:radon_128edo.jpg]]
Line 546: Line 569:
[[xenharmonic/radon16|Sixteen note chromatic scale]]
[[xenharmonic/radon16|Sixteen note chromatic scale]]


=Baldy=  
=Gariberttet=  
Subgroup: 2.9.5.7.13
Subgroup: 2.5/3.7/3.13/11
Commas: 225/224, 325/324, 640/637
Commas: 275/273, 847/845
Sval name: 6&amp;35
Svalname: 4&amp;29
Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]
 
[[Tp tuning|POT2 generator]]: ~13/11 = 293.679


[[Tp tuning|POT2 generator]]: ~9/8 = 204.090
[[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 9/8; 225/224 325/324 640/637]
Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]
Gencom map: [&lt;1 3/2 3 4 0 2|, &lt;0 1/2 -4 -7 0 10|]
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd
[[Tp tuning#T2%20tuning|RMS error]]: 0.6914 cents


Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
[[xenharmonic/gariberttet5|Five note haplotonic scale]]
EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]], 488cd, 635cd
[[xenharmonic/gariberttet9|Nine note albitonic scale]]
[[Tp tuning#T2%20tuning|T2 error]]: 1.469 cents
[[xenharmonic/gariberttet13|Thirteen note chromatic scale]]


[[image:baldy_147edo.jpg]]
=Namo=
Subgroup: 2.3.11.13
Commas: 144/143, 243/242
Related temperament: [[Valinorismic temperaments#Mandos|mandos]], mohajira, hemif


[[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[Tp tuning|POT2 generator]]: ~11/9 = 351.488
[[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]


=Photia=
[[Gencom]]: [2 11/9; 144/143 243/242]
Subgroup: 2.3.5.17.19
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 0 0 5 -1|]
Commas: 171/170, 256/255, 324/323
Sval name: 12&amp;41
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


[[Tp tuning|POT2 generator]]: ~3/2 = 701.470
Map: [&lt;1 1 2 4|, &lt;0 2 5 -1|]
EDOs: 7, 10, 17, 41, 58, 99cd
[[Tp tuning#T2%20tuning|RMS error]]: 0.7038 cents


[[Gencom]]: [2 3/2; 171/170 256/255 324/323]
[[xenharmonic/namo7|Seven note haplotonic scale]]
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]
[[xenharmonic/namo10|Ten note albitonic scale]]
[[xenharmonic/namo17|Seventeen note chromatic scale]]


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
=Sentry=
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d
Group: 2.5/3.9/7
[[Tp tuning#T2%20tuning|T2 error]]: 1.520 cents
Commas: 245/243
Svalname: 3&amp;5
Related temperaments: sensi


[[image:photia_65edo.png]]
[[Tp tuning|POT2 generator]]: ~9/7 = 440.902


[[xenharmonic/photia7|Seven note albitonic scale]]
[[Gencom]]: [2 9/7; 245/243]
[[xenharmonic/photia12|Twelve note chromatic scale]]
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]


=Mabila=
Map: [&lt;1 0 0|, &lt;0 2 1|]
Subgroup: 2.5.7
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc
Comma: 1071875/1048576
[[Tp tuning#T2%20tuning|RMS error]]: 0.7105 cents
Sval name: 7&amp;9


[[Tp tuning|POT2 generator]]: ~175/128 = 527.236
[[xenharmonic/sentry5|Five note haplotonic scale]]
[[xenharmonic/sentry8|Eight note albitonic scale]]
[[xenharmonic/sentry11|Eleven note note chromatic scale]]


[[Gencom]]: [2 175/128; 1071875/1048576]
=Hemif=
Gencom map: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]
Subgroup: 2.3.7.11.13
Commas: 144/143, 243/242, 364/363
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]], namo


Map: [&lt;1 1 5|, &lt;0 3 -5|]
[[Tp tuning|POT2 generator]]: ~11/9 = 351.691
EDOs: 7, 9, 16, 25, 41, 66, 305bc
[[Tp tuning#T2%20tuning|T2 error]]: 1.546 cents


[[image:mabila_66edo.jpg]]
[[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|]


[[xenharmonic/mabila7|Seven note haplotonic scale]]
Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
[[xenharmonic/mabila9|Nine note albitonic scale]]
EDOs: 7, 10, 17, 24, 41, 58
[[xenharmonic/mabila16|Sixteen note chromatic scale]]
[[Tp tuning#T2%20tuning|RMS error]]: 0.7167 cents


=Silver=
[[image:hemif_58edo.jpg]]
Subgroup: 2.5.7.13.17
Commas: 170/169, 640/637, 5525/5488
Sval name: 10&amp;27


[[Tp tuning|POT2 generator]]: ~13/8 = 842.711
[[xenharmonic/hemif7|Seven note haplotonic scale]]
[[xenharmonic/hemif10|Ten note albitonic scale]]
[[xenharmonic/hemif17|Seventeen note chromatic scale]]


[[Gencom]]: [2 13/8; 170/169 640/637 5525/5488]
=Garibaldi=
Gencom map: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]
Group: 2.3.5.7
Commas: 225/224, 3125/3087
Val name: 12&amp;29


Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
[[Tp tuning|POT2 generator]]: ~3/2 = 702.085
EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, 178e, 309cde, [[xenharmonic/487edo|487bcdee]]
[[Tp tuning#T2%20tuning|T2 error]]: 1.557 cents


[[image:silver_487edo.jpg]]
[[Gencom]]: [2 3/2; 225/224 3125/3087]
Gencom map: [&lt;1 1 7 11], &lt;0 1 -8 -14|]


[[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]]
Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
[[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
[[Tp tuning#T2%20tuning|RMS error]]: 0.7257 cents


=Starlingtet=
[[image:garibaldi_94edo.png]]
Group: 2.5/3.7/3
Comma: 126/125
Svalname: 4&amp;15
Related temperaments: starling; becomes myna
[[Tp tuning|POT2 generator]]: ~6/5 = 311.154


[[Gencom]]: [2 6/5; 126/125]
[[xenharmonic/garibaldi12|Twelve note albitonic scale]]
Gencom map: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]
[[xenharmonic/garibaldi17|Seventeen note chromatic scale]]


Map: [&lt;1 0 -1|, &lt;0 1 3|]
=Mabila=
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
Subgroup: 2.5.7
[[Tp tuning#T2%20tuning|T2 error]]: 1.680 cents
Comma: 1071875/1048576
Sval name: 7&amp;9


[[xenharmonic/starlingtet4|Four note haplotonic scale]]
[[Tp tuning|POT2 generator]]: ~175/128 = 527.236
[[xenharmonic/starlingtet7|Seven note albitonic scale]]
[[xenharmonic/starlingtet11|Eleven note chromatic scale]]


=Gariberttet=
[[Gencom]]: [2 175/128; 1071875/1048576]
Subgroup: 2.5/3.7/3.13/11
Gencom map: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]
Commas: 275/273, 847/845
Svalname: 4&amp;29


[[Tp tuning|POT2 generator]]: ~13/11 = 293.679
Map: [&lt;1 1 5|, &lt;0 3 -5|]
EDOs: 7, 9, 16, 25, 41, 66, 305bc
[[Tp tuning#T2%20tuning|RMS error]]: 0.7729 cents


[[Gencom]]: [2 13/11; 275/273 847/845]
[[image:mabila_66edo.jpg]]
Gencom map: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]


Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]
[[xenharmonic/mabila7|Seven note haplotonic scale]]
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd
[[xenharmonic/mabila9|Nine note albitonic scale]]
[[Tp tuning#T2%20tuning|T2 error]]: 1.694 cents
[[xenharmonic/mabila16|Sixteen note chromatic scale]]


[[xenharmonic/gariberttet5|Five note haplotonic scale]]
=Indium=
[[xenharmonic/gariberttet9|Nine note albitonic scale]]
Subgroup: 2.5/3.7/3.11/3
[[xenharmonic/gariberttet13|Thirteen note chromatic scale]]
Commas: 3025/3024, 3125/3087
Sval name: 8&amp;33


=Namo=
[[Tp tuning|POT2 generator]]: ~12/11 = 147.010
Subgroup: 2.3.11.13
Commas: 144/143, 243/242
Related temperament: [[Valinorismic temperaments#Mandos|mandos]], mohajira, hemif
 
[[Tp tuning|POT2 generator]]: ~11/9 = 351.488
 
[[Gencom]]: [2 11/9; 144/143 243/242]
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 0 0 5 -1|]
 
Map: [&lt;1 1 2 4|, &lt;0 2 5 -1|]
EDOs: 7, 10, 17, 41, 58, 99cd
[[Tp tuning#T2%20tuning|T2 error]]: 1.724 cents
 
[[xenharmonic/namo7|Seven note haplotonic scale]]
[[xenharmonic/namo10|Ten note albitonic scale]]
[[xenharmonic/namo17|Seventeen note chromatic scale]]
 
=Indium=
Subgroup: 2.5/3.7/3.11/3
Commas: 3025/3024, 3125/3087
Sval name: 8&amp;33
 
[[Tp tuning|POT2 generator]]: ~12/11 = 147.010


[[Gencom]]: [2 12/11; 3025/3024 3125/3087]
[[Gencom]]: [2 12/11; 3025/3024 3125/3087]
Line 693: Line 695:
Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
EDOs: 33, 41, 49, 57, 106, 204, 253
EDOs: 33, 41, 49, 57, 106, 204, 253
[[Tp tuning#T2%20tuning|T2 error]]: 1.741 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.7788 cents


[[image:indium_253edo.png]]
[[image:indium_253edo.png]]
Line 703: Line 705:
&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]]


=Hemif=  
=Starlingtet=  
Subgroup: 2.3.7.11.13
Group: 2.5/3.7/3
Commas: 144/143, 243/242, 364/363
Comma: 126/125
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]], namo
Svalname: 4&amp;15
Related temperaments: starling; becomes myna
[[Tp tuning|POT2 generator]]: ~6/5 = 311.154


[[Tp tuning|POT2 generator]]: ~11/9 = 351.691
[[Gencom]]: [2 6/5; 126/125]
Gencom map: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]


[[Gencom]]: [2 11/9; 144/143 243/242 364/363]
Map: [&lt;1 0 -1|, &lt;0 1 3|]
Gencom map: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
[[Tp tuning#T2%20tuning|RMS error]]: 0.8398 cents


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
[[xenharmonic/starlingtet4|Four note haplotonic scale]]
EDOs: 7, 10, 17, 24, 41, 58
[[xenharmonic/starlingtet7|Seven note albitonic scale]]
[[Tp tuning#T2%20tuning|T2 error]]: 1.756 cents
[[xenharmonic/starlingtet11|Eleven note chromatic scale]]
 
[[image:hemif_58edo.jpg]]
 
[[xenharmonic/hemif7|Seven note haplotonic scale]]
[[xenharmonic/hemif10|Ten note albitonic scale]]
[[xenharmonic/hemif17|Seventeen note chromatic scale]]


=Myna=  
=Myna=  
Line 735: Line 735:
Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
EDOs: 4, 27, 31, 58, 89, 236c, 325cd
EDOs: 4, 27, 31, 58, 89, 236c, 325cd
[[Tp tuning#T2%20tuning|T2 error]]: 1.903 cents
[[Tp tuning#T2%20tuning|RMS error]]: 0.9516 cents


[[image:myna_89edo.jpg]]
[[image:myna_89edo.jpg]]
Line 1,438: Line 1,438:
[[xenharmonic/leantone13|Thirteen note chromatic scale]]</pre></div>
[[xenharmonic/leantone13|Thirteen note chromatic scale]]</pre></div>
<h4>Original HTML content:</h4>
<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:163:&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:163 --&gt;&lt;!-- ws:start:WikiTextTocRule:164: --&gt;&lt;a href="#Definitions"&gt;Definitions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:164 --&gt;&lt;!-- ws:start:WikiTextTocRule:165: --&gt; | &lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:165 --&gt;&lt;!-- ws:start:WikiTextTocRule:166: --&gt; | &lt;a href="#Petrtri"&gt;Petrtri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:166 --&gt;&lt;!-- ws:start:WikiTextTocRule:167: --&gt; | &lt;a href="#Barton"&gt;Barton&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:167 --&gt;&lt;!-- ws:start:WikiTextTocRule:168: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:168 --&gt;&lt;!-- ws:start:WikiTextTocRule:169: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:169 --&gt;&lt;!-- ws:start:WikiTextTocRule:170: --&gt; | &lt;a href="#Orgone"&gt;Orgone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:170 --&gt;&lt;!-- ws:start:WikiTextTocRule:171: --&gt; | &lt;a href="#Marveltwintri"&gt;Marveltwintri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:171 --&gt;&lt;!-- ws:start:WikiTextTocRule:172: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:172 --&gt;&lt;!-- ws:start:WikiTextTocRule:173: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:173 --&gt;&lt;!-- ws:start:WikiTextTocRule:174: --&gt;&lt;!-- ws:end:WikiTextTocRule:174 --&gt;&lt;!-- ws:start:WikiTextTocRule:175: --&gt; | &lt;a href="#Haumea"&gt;Haumea&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:175 --&gt;&lt;!-- ws:start:WikiTextTocRule:176: --&gt; | &lt;a href="#Neutraltet"&gt;Neutraltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:176 --&gt;&lt;!-- ws:start:WikiTextTocRule:177: --&gt;&lt;!-- ws:end:WikiTextTocRule:177 --&gt;&lt;!-- ws:start:WikiTextTocRule:178: --&gt; | &lt;a href="#Slendric"&gt;Slendric&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;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:180 --&gt;&lt;!-- ws:start:WikiTextTocRule:181: --&gt; | &lt;a href="#Tobago"&gt;Tobago&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:181 --&gt;&lt;!-- ws:start:WikiTextTocRule:182: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:182 --&gt;&lt;!-- ws:start:WikiTextTocRule:183: --&gt; | &lt;a href="#Wizz"&gt;Wizz&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:183 --&gt;&lt;!-- ws:start:WikiTextTocRule:184: --&gt; | &lt;a href="#Penta"&gt;Penta&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:184 --&gt;&lt;!-- ws:start:WikiTextTocRule:185: --&gt; | &lt;a href="#Marveltri"&gt;Marveltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:185 --&gt;&lt;!-- ws:start:WikiTextTocRule:186: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:186 --&gt;&lt;!-- ws:start:WikiTextTocRule:187: --&gt; | &lt;a href="#Edson"&gt;Edson&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:187 --&gt;&lt;!-- ws:start:WikiTextTocRule:188: --&gt; | &lt;a href="#Shoe"&gt;Shoe&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:188 --&gt;&lt;!-- ws:start:WikiTextTocRule:189: --&gt; | &lt;a href="#Guanyintet"&gt;Guanyintet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:189 --&gt;&lt;!-- ws:start:WikiTextTocRule:190: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:190 --&gt;&lt;!-- ws:start:WikiTextTocRule:191: --&gt; | &lt;a href="#Sentry"&gt;Sentry&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:191 --&gt;&lt;!-- ws:start:WikiTextTocRule:192: --&gt; | &lt;a href="#Garibaldi"&gt;Garibaldi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:192 --&gt;&lt;!-- ws:start:WikiTextTocRule:193: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:193 --&gt;&lt;!-- ws:start:WikiTextTocRule:194: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:194 --&gt;&lt;!-- ws:start:WikiTextTocRule:195: --&gt; | &lt;a href="#Photia"&gt;Photia&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:195 --&gt;&lt;!-- ws:start:WikiTextTocRule:196: --&gt; | &lt;a href="#Mabila"&gt;Mabila&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:196 --&gt;&lt;!-- ws:start:WikiTextTocRule:197: --&gt; | &lt;a href="#Silver"&gt;Silver&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:197 --&gt;&lt;!-- ws:start:WikiTextTocRule:198: --&gt; | &lt;a href="#Starlingtet"&gt;Starlingtet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:198 --&gt;&lt;!-- ws:start:WikiTextTocRule:199: --&gt; | &lt;a href="#Gariberttet"&gt;Gariberttet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:199 --&gt;&lt;!-- ws:start:WikiTextTocRule:200: --&gt; | &lt;a href="#Namo"&gt;Namo&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:200 --&gt;&lt;!-- ws:start:WikiTextTocRule:201: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:201 --&gt;&lt;!-- ws:start:WikiTextTocRule:202: --&gt;&lt;!-- ws:end:WikiTextTocRule:202 --&gt;&lt;!-- ws:start:WikiTextTocRule:203: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:203 --&gt;&lt;!-- ws:start:WikiTextTocRule:204: --&gt; | &lt;a href="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:204 --&gt;&lt;!-- ws:start:WikiTextTocRule:205: --&gt; | &lt;a href="#Lovecraft"&gt;Lovecraft&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:205 --&gt;&lt;!-- ws:start:WikiTextTocRule:206: --&gt; | &lt;a href="#Laz"&gt;Laz&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:206 --&gt;&lt;!-- ws:start:WikiTextTocRule:207: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:207 --&gt;&lt;!-- ws:start:WikiTextTocRule:208: --&gt;&lt;!-- ws:end:WikiTextTocRule:208 --&gt;&lt;!-- ws:start:WikiTextTocRule:209: --&gt; | &lt;a href="#Mothwelltri"&gt;Mothwelltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:209 --&gt;&lt;!-- ws:start:WikiTextTocRule:210: --&gt; | &lt;a href="#Sulis"&gt;Sulis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:210 --&gt;&lt;!-- ws:start:WikiTextTocRule:211: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:211 --&gt;&lt;!-- ws:start:WikiTextTocRule:212: --&gt; | &lt;a href="#Orwell"&gt;Orwell&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:212 --&gt;&lt;!-- ws:start:WikiTextTocRule:213: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:213 --&gt;&lt;!-- ws:start:WikiTextTocRule:214: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:214 --&gt;&lt;!-- ws:start:WikiTextTocRule:215: --&gt; | &lt;a href="#Magicaltet"&gt;Magicaltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:215 --&gt;&lt;!-- ws:start:WikiTextTocRule:216: --&gt; | &lt;a href="#Magic"&gt;Magic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:216 --&gt;&lt;!-- ws:start:WikiTextTocRule:217: --&gt;&lt;!-- ws:end:WikiTextTocRule:217 --&gt;&lt;!-- ws:start:WikiTextTocRule:218: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:218 --&gt;&lt;!-- ws:start:WikiTextTocRule:219: --&gt; | &lt;a href="#Kiribati"&gt;Kiribati&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:219 --&gt;&lt;!-- ws:start:WikiTextTocRule:220: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:220 --&gt;&lt;!-- ws:start:WikiTextTocRule:221: --&gt;&lt;!-- ws:end:WikiTextTocRule:221 --&gt;&lt;!-- ws:start:WikiTextTocRule:222: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:222 --&gt;&lt;!-- ws:start:WikiTextTocRule:223: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:223 --&gt;&lt;!-- ws:start:WikiTextTocRule:224: --&gt; | &lt;a href="#Sensation"&gt;Sensation&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:224 --&gt;&lt;!-- ws:start:WikiTextTocRule:225: --&gt; | &lt;a href="#Archy"&gt;Archy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:225 --&gt;&lt;!-- ws:start:WikiTextTocRule:226: --&gt; | &lt;a href="#Stacks"&gt;Stacks&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:226 --&gt;&lt;!-- ws:start:WikiTextTocRule:227: --&gt; | &lt;a href="#Bleu"&gt;Bleu&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:227 --&gt;&lt;!-- ws:start:WikiTextTocRule:228: --&gt; | &lt;a href="#Suhajira (aka 2.3.7.11 maqamic)"&gt;Suhajira (aka 2.3.7.11 maqamic)&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:228 --&gt;&lt;!-- ws:start:WikiTextTocRule:229: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:229 --&gt;&lt;!-- ws:start:WikiTextTocRule:230: --&gt; | &lt;a href="#Machine"&gt;Machine&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:230 --&gt;&lt;!-- ws:start:WikiTextTocRule:231: --&gt; | &lt;a href="#Sephiroth"&gt;Sephiroth&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:231 --&gt;&lt;!-- ws:start:WikiTextTocRule:232: --&gt; | &lt;a href="#Mohoho"&gt;Mohoho&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:232 --&gt;&lt;!-- ws:start:WikiTextTocRule:233: --&gt; | &lt;a href="#Deutone"&gt;Deutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:233 --&gt;&lt;!-- ws:start:WikiTextTocRule:234: --&gt; | &lt;a href="#Semaphore"&gt;Semaphore&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:234 --&gt;&lt;!-- ws:start:WikiTextTocRule:235: --&gt; | &lt;a href="#Porkypine"&gt;Porkypine&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:235 --&gt;&lt;!-- ws:start:WikiTextTocRule:236: --&gt; | &lt;a href="#Supraphon"&gt;Supraphon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:236 --&gt;&lt;!-- ws:start:WikiTextTocRule:237: --&gt; | &lt;a href="#Negra"&gt;Negra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:237 --&gt;&lt;!-- ws:start:WikiTextTocRule:238: --&gt; | &lt;a href="#Antikythera"&gt;Antikythera&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:238 --&gt;&lt;!-- ws:start:WikiTextTocRule:239: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:239 --&gt;&lt;!-- ws:start:WikiTextTocRule:240: --&gt; | &lt;a href="#Oregon"&gt;Oregon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:240 --&gt;&lt;!-- ws:start:WikiTextTocRule:241: --&gt; | &lt;a href="#Skateboard"&gt;Skateboard&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:241 --&gt;&lt;!-- ws:start:WikiTextTocRule:242: --&gt; | &lt;a href="#Kryptonite"&gt;Kryptonite&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:242 --&gt;&lt;!-- ws:start:WikiTextTocRule:243: --&gt; | &lt;a href="#Glacial"&gt;Glacial&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:243 --&gt;&lt;!-- ws:start:WikiTextTocRule:244: --&gt; | &lt;a href="#Leantone"&gt;Leantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:244 --&gt;&lt;!-- ws:start:WikiTextTocRule:245: --&gt;
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chromatic pairs&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:163:&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:163 --&gt;&lt;!-- ws:start:WikiTextTocRule:164: --&gt;&lt;a href="#Definitions"&gt;Definitions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:164 --&gt;&lt;!-- ws:start:WikiTextTocRule:165: --&gt; | &lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:165 --&gt;&lt;!-- ws:start:WikiTextTocRule:166: --&gt; | &lt;a href="#Petrtri"&gt;Petrtri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:166 --&gt;&lt;!-- ws:start:WikiTextTocRule:167: --&gt; | &lt;a href="#Barton"&gt;Barton&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:167 --&gt;&lt;!-- ws:start:WikiTextTocRule:168: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:168 --&gt;&lt;!-- ws:start:WikiTextTocRule:169: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:169 --&gt;&lt;!-- ws:start:WikiTextTocRule:170: --&gt; | &lt;a href="#Orgone"&gt;Orgone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:170 --&gt;&lt;!-- ws:start:WikiTextTocRule:171: --&gt; | &lt;a href="#Marveltwintri"&gt;Marveltwintri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:171 --&gt;&lt;!-- ws:start:WikiTextTocRule:172: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:172 --&gt;&lt;!-- ws:start:WikiTextTocRule:173: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:173 --&gt;&lt;!-- ws:start:WikiTextTocRule:174: --&gt;&lt;!-- ws:end:WikiTextTocRule:174 --&gt;&lt;!-- ws:start:WikiTextTocRule:175: --&gt; | &lt;a href="#Haumea"&gt;Haumea&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:175 --&gt;&lt;!-- ws:start:WikiTextTocRule:176: --&gt; | &lt;a href="#Neutraltet"&gt;Neutraltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:176 --&gt;&lt;!-- ws:start:WikiTextTocRule:177: --&gt;&lt;!-- ws:end:WikiTextTocRule:177 --&gt;&lt;!-- ws:start:WikiTextTocRule:178: --&gt; | &lt;a href="#Slendric"&gt;Slendric&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;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:180 --&gt;&lt;!-- ws:start:WikiTextTocRule:181: --&gt; | &lt;a href="#Tobago"&gt;Tobago&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:181 --&gt;&lt;!-- ws:start:WikiTextTocRule:182: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:182 --&gt;&lt;!-- ws:start:WikiTextTocRule:183: --&gt; | &lt;a href="#Wizz"&gt;Wizz&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:183 --&gt;&lt;!-- ws:start:WikiTextTocRule:184: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:184 --&gt;&lt;!-- ws:start:WikiTextTocRule:185: --&gt; | &lt;a href="#Penta"&gt;Penta&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:185 --&gt;&lt;!-- ws:start:WikiTextTocRule:186: --&gt; | &lt;a href="#Marveltri"&gt;Marveltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:186 --&gt;&lt;!-- ws:start:WikiTextTocRule:187: --&gt; | &lt;a href="#Edson"&gt;Edson&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:187 --&gt;&lt;!-- ws:start:WikiTextTocRule:188: --&gt; | &lt;a href="#Photia"&gt;Photia&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:188 --&gt;&lt;!-- ws:start:WikiTextTocRule:189: --&gt; | &lt;a href="#Shoe"&gt;Shoe&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:189 --&gt;&lt;!-- ws:start:WikiTextTocRule:190: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:190 --&gt;&lt;!-- ws:start:WikiTextTocRule:191: --&gt; | &lt;a href="#Silver"&gt;Silver&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:191 --&gt;&lt;!-- ws:start:WikiTextTocRule:192: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:192 --&gt;&lt;!-- ws:start:WikiTextTocRule:193: --&gt; | &lt;a href="#Guanyintet"&gt;Guanyintet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:193 --&gt;&lt;!-- ws:start:WikiTextTocRule:194: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:194 --&gt;&lt;!-- ws:start:WikiTextTocRule:195: --&gt; | &lt;a href="#Gariberttet"&gt;Gariberttet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:195 --&gt;&lt;!-- ws:start:WikiTextTocRule:196: --&gt; | &lt;a href="#Namo"&gt;Namo&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:196 --&gt;&lt;!-- ws:start:WikiTextTocRule:197: --&gt; | &lt;a href="#Sentry"&gt;Sentry&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:197 --&gt;&lt;!-- ws:start:WikiTextTocRule:198: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:198 --&gt;&lt;!-- ws:start:WikiTextTocRule:199: --&gt; | &lt;a href="#Garibaldi"&gt;Garibaldi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:199 --&gt;&lt;!-- ws:start:WikiTextTocRule:200: --&gt; | &lt;a href="#Mabila"&gt;Mabila&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:200 --&gt;&lt;!-- ws:start:WikiTextTocRule:201: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:201 --&gt;&lt;!-- ws:start:WikiTextTocRule:202: --&gt;&lt;!-- ws:end:WikiTextTocRule:202 --&gt;&lt;!-- ws:start:WikiTextTocRule:203: --&gt; | &lt;a href="#Starlingtet"&gt;Starlingtet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:203 --&gt;&lt;!-- ws:start:WikiTextTocRule:204: --&gt; | &lt;a href="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:204 --&gt;&lt;!-- ws:start:WikiTextTocRule:205: --&gt; | &lt;a href="#Lovecraft"&gt;Lovecraft&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:205 --&gt;&lt;!-- ws:start:WikiTextTocRule:206: --&gt; | &lt;a href="#Laz"&gt;Laz&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:206 --&gt;&lt;!-- ws:start:WikiTextTocRule:207: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:207 --&gt;&lt;!-- ws:start:WikiTextTocRule:208: --&gt;&lt;!-- ws:end:WikiTextTocRule:208 --&gt;&lt;!-- ws:start:WikiTextTocRule:209: --&gt; | &lt;a href="#Mothwelltri"&gt;Mothwelltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:209 --&gt;&lt;!-- ws:start:WikiTextTocRule:210: --&gt; | &lt;a href="#Sulis"&gt;Sulis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:210 --&gt;&lt;!-- ws:start:WikiTextTocRule:211: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:211 --&gt;&lt;!-- ws:start:WikiTextTocRule:212: --&gt; | &lt;a href="#Orwell"&gt;Orwell&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:212 --&gt;&lt;!-- ws:start:WikiTextTocRule:213: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:213 --&gt;&lt;!-- ws:start:WikiTextTocRule:214: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:214 --&gt;&lt;!-- ws:start:WikiTextTocRule:215: --&gt; | &lt;a href="#Magicaltet"&gt;Magicaltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:215 --&gt;&lt;!-- ws:start:WikiTextTocRule:216: --&gt; | &lt;a href="#Magic"&gt;Magic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:216 --&gt;&lt;!-- ws:start:WikiTextTocRule:217: --&gt;&lt;!-- ws:end:WikiTextTocRule:217 --&gt;&lt;!-- ws:start:WikiTextTocRule:218: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:218 --&gt;&lt;!-- ws:start:WikiTextTocRule:219: --&gt; | &lt;a href="#Kiribati"&gt;Kiribati&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:219 --&gt;&lt;!-- ws:start:WikiTextTocRule:220: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:220 --&gt;&lt;!-- ws:start:WikiTextTocRule:221: --&gt;&lt;!-- ws:end:WikiTextTocRule:221 --&gt;&lt;!-- ws:start:WikiTextTocRule:222: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:222 --&gt;&lt;!-- ws:start:WikiTextTocRule:223: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:223 --&gt;&lt;!-- ws:start:WikiTextTocRule:224: --&gt; | &lt;a href="#Sensation"&gt;Sensation&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:224 --&gt;&lt;!-- ws:start:WikiTextTocRule:225: --&gt; | &lt;a href="#Archy"&gt;Archy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:225 --&gt;&lt;!-- ws:start:WikiTextTocRule:226: --&gt; | &lt;a href="#Stacks"&gt;Stacks&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:226 --&gt;&lt;!-- ws:start:WikiTextTocRule:227: --&gt; | &lt;a href="#Bleu"&gt;Bleu&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:227 --&gt;&lt;!-- ws:start:WikiTextTocRule:228: --&gt; | &lt;a href="#Suhajira (aka 2.3.7.11 maqamic)"&gt;Suhajira (aka 2.3.7.11 maqamic)&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:228 --&gt;&lt;!-- ws:start:WikiTextTocRule:229: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:229 --&gt;&lt;!-- ws:start:WikiTextTocRule:230: --&gt; | &lt;a href="#Machine"&gt;Machine&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:230 --&gt;&lt;!-- ws:start:WikiTextTocRule:231: --&gt; | &lt;a href="#Sephiroth"&gt;Sephiroth&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:231 --&gt;&lt;!-- ws:start:WikiTextTocRule:232: --&gt; | &lt;a href="#Mohoho"&gt;Mohoho&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:232 --&gt;&lt;!-- ws:start:WikiTextTocRule:233: --&gt; | &lt;a href="#Deutone"&gt;Deutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:233 --&gt;&lt;!-- ws:start:WikiTextTocRule:234: --&gt; | &lt;a href="#Semaphore"&gt;Semaphore&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:234 --&gt;&lt;!-- ws:start:WikiTextTocRule:235: --&gt; | &lt;a href="#Porkypine"&gt;Porkypine&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:235 --&gt;&lt;!-- ws:start:WikiTextTocRule:236: --&gt; | &lt;a href="#Supraphon"&gt;Supraphon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:236 --&gt;&lt;!-- ws:start:WikiTextTocRule:237: --&gt; | &lt;a href="#Negra"&gt;Negra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:237 --&gt;&lt;!-- ws:start:WikiTextTocRule:238: --&gt; | &lt;a href="#Antikythera"&gt;Antikythera&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:238 --&gt;&lt;!-- ws:start:WikiTextTocRule:239: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:239 --&gt;&lt;!-- ws:start:WikiTextTocRule:240: --&gt; | &lt;a href="#Oregon"&gt;Oregon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:240 --&gt;&lt;!-- ws:start:WikiTextTocRule:241: --&gt; | &lt;a href="#Skateboard"&gt;Skateboard&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:241 --&gt;&lt;!-- ws:start:WikiTextTocRule:242: --&gt; | &lt;a href="#Kryptonite"&gt;Kryptonite&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:242 --&gt;&lt;!-- ws:start:WikiTextTocRule:243: --&gt; | &lt;a href="#Glacial"&gt;Glacial&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:243 --&gt;&lt;!-- ws:start:WikiTextTocRule:244: --&gt; | &lt;a href="#Leantone"&gt;Leantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:244 --&gt;&lt;!-- ws:start:WikiTextTocRule:245: --&gt;
&lt;!-- ws:end:WikiTextTocRule:245 --&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;!-- ws:end:WikiTextTocRule:245 --&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;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
Line 1,775: Line 1,775:
&lt;br /&gt;
&lt;br /&gt;
EDOs: 6, 16, 22, 28, 50, 122, 172, 222&lt;br /&gt;
EDOs: 6, 16, 22, 28, 50, 122, 172, 222&lt;br /&gt;
RMS error: 0.3997&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.3997&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Line 1,781: Line 1,781:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:41:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc20"&gt;&lt;a name="Penta"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:41 --&gt;Penta&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:41:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc20"&gt;&lt;a name="Bossier"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:41 --&gt;Bossier&lt;/h1&gt;
  Subgroup: 2.9.7.11&lt;br /&gt;
  Subgroup: 2.7.11.13&lt;br /&gt;
Commas: 896/891, 26411/26244&lt;br /&gt;
Commas: 1573/1568, 15488/15379&lt;br /&gt;
Svalname: 8&amp;amp;11&lt;br /&gt;
Sval name: 3&amp;amp;17&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~9/7 = 438.465&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~14/11 = 421.309&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 896/891 26411/26244]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 14/11; 1573/1568 15488/15379]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0 1 3|, &amp;lt;0 0 0 8 7 2|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1 3|, &amp;lt;0 8 7 2|]&lt;br /&gt;
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.4043 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:259:&amp;lt;img src=&amp;quot;/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:259 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier14"&gt;Fourteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:43:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Penta"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:43 --&gt;Penta&lt;/h1&gt;
Subgroup: 2.9.7.11&lt;br /&gt;
Commas: 896/891, 26411/26244&lt;br /&gt;
Svalname: 8&amp;amp;11&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~9/7 = 438.465&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 896/891 26411/26244]&lt;br /&gt;
Gencom map: [&amp;lt;1 5/2 0 5 2|, &amp;lt;0 -5/2 0 -6 4|]&lt;br /&gt;
Gencom map: [&amp;lt;1 5/2 0 5 2|, &amp;lt;0 -5/2 0 -6 4|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 1,800: Line 1,820:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:43:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Marveltri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:43 --&gt;Marveltri&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:45:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Marveltri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:45 --&gt;Marveltri&lt;/h1&gt;
  Subgroup: 2.5.9/7&lt;br /&gt;
  Subgroup: 2.5.9/7&lt;br /&gt;
Comma: 225/224&lt;br /&gt;
Comma: 225/224&lt;br /&gt;
Line 1,813: Line 1,833:
Map: [&amp;lt;1 0 5|, &amp;lt;0 1 -2|]&lt;br /&gt;
Map: [&amp;lt;1 0 5|, &amp;lt;0 1 -2|]&lt;br /&gt;
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc&lt;br /&gt;
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 0.9602 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.4801 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Line 1,819: Line 1,839:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13"&gt;Thirteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13"&gt;Thirteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:45:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Bossier"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:45 --&gt;Bossier&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:47:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Edson"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:47 --&gt;Edson&lt;/h1&gt;
  Subgroup: 2.7.11.13&lt;br /&gt;
  Subgroup: 2.3.7/5.11/5.13/5&lt;br /&gt;
Commas: 1573/1568, 15488/15379&lt;br /&gt;
Commas: 196/195, 352/351, 364/363&lt;br /&gt;
Sval name: 3&amp;amp;17&lt;br /&gt;
Related temperaments: &lt;a class="wiki_link" href="/Hemifamity%20family#Pele"&gt;pele&lt;/a&gt;, cassandra&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~14/11 = 421.309&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~3/2 = 703.414&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 14/11; 1573/1568 15488/15379]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 196/195, 352/351, 364/363]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0 1 3|, &amp;lt;0 0 0 8 7 2|]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 -5 -1 2 4|, &amp;lt;0 1 29/4 5/4 -11/4 -23/4|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1 3|, &amp;lt;0 8 7 2|]&lt;br /&gt;
Map: [&amp;lt;1 0 10 17 22|, &amp;lt;0 1 -6 -10 -13|]&lt;br /&gt;
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 0.9904 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:259:&amp;lt;img src=&amp;quot;/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:259 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier14"&gt;Fourteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:47:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Edson"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:47 --&gt;Edson&lt;/h1&gt;
Subgroup: 2.3.7/5.11/5.13/5&lt;br /&gt;
Commas: 196/195, 352/351, 364/363&lt;br /&gt;
Related temperaments: &lt;a class="wiki_link" href="/Hemifamity%20family#Pele"&gt;pele&lt;/a&gt;, cassandra&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~3/2 = 703.414&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 196/195, 352/351, 364/363]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 -5 -1 2 4|, &amp;lt;0 1 29/4 5/4 -11/4 -23/4|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 10 17 22|, &amp;lt;0 1 -6 -10 -13|]&lt;br /&gt;
EDOs: 12, 17, 29, 621bcde&lt;br /&gt;
EDOs: 12, 17, 29, 621bcde&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.250 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.5102 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Line 1,858: Line 1,858:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson17"&gt;Seventeen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson17"&gt;Seventeen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:49:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Shoe"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:49 --&gt;Shoe&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:49:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:49 --&gt;Photia&lt;/h1&gt;
  Subgroup: 2.5.7.11.13&lt;br /&gt;
  Subgroup: 2.3.5.17.19&lt;br /&gt;
Commas: 176/175, 640/637, 847/845&lt;br /&gt;
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
Sval name: 16&amp;amp;21&lt;br /&gt;
Sval name: 12&amp;amp;41&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~8/7 = 227.108&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~3/2 = 701.470&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 8/7; 176/175 640/637 847/845]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 171/170 256/255 324/323]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 0 0 0 0 6|, &amp;lt;0 1 -8 0 0 0 7 -3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.5374 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:260:&amp;lt;img src=&amp;quot;/file/view/photia_65edo.png/284863542/photia_65edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:260 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:51:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Shoe"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:51 --&gt;Shoe&lt;/h1&gt;
Subgroup: 2.5.7.11.13&lt;br /&gt;
Commas: 176/175, 640/637, 847/845&lt;br /&gt;
Sval name: 16&amp;amp;21&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~8/7 = 227.108&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 8/7; 176/175 640/637 847/845]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 1 3 1 2|, &amp;lt;0 0 7 -1 13 9|]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 1 3 1 2|, &amp;lt;0 0 7 -1 13 9|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 1 2|, &amp;lt;0 7 -1 13 9|]&lt;br /&gt;
Map: [&amp;lt;1 1 3 1 2|, &amp;lt;0 7 -1 13 9|]&lt;br /&gt;
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce&lt;br /&gt;
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.331 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.5433 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:260:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.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/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="shoe_37edo.jpg" title="shoe_37edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:260 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:261:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.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/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="shoe_37edo.jpg" title="shoe_37edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:261 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5"&gt;shoe5&lt;/a&gt; - five note mini &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5"&gt;shoe5&lt;/a&gt; - five note mini &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
Line 1,879: Line 1,899:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe16"&gt;shoe16&lt;/a&gt; - sixteen 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/shoe16"&gt;shoe16&lt;/a&gt; - sixteen 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:51:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Guanyintet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:51 --&gt;Guanyintet&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:53:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:53 --&gt;Roulette&lt;/h1&gt;
  Subgroup: 2.5.7/3.11/3&lt;br /&gt;
  Subgroup: 2.5.7.11.13&lt;br /&gt;
Commas: 176/175, 540/539&lt;br /&gt;
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
Svalname: 4&amp;amp;9&lt;br /&gt;
Sval name: 6&amp;amp;25&lt;br /&gt;
Related temperaments: guanyin, orwell&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family"&gt;Hemiwürschmidt&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~7/6 = 270.093&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~28/25 = 194.594&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 176/175 540/539]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 28/25; 176/175 1375/1372 640/637]&lt;br /&gt;
Gencom map: [&amp;lt;1 -4/3 3 -1/3 5/3|, &amp;lt;0 4/3 -3 7/3 -11/3|]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 2 2 2 5|, &amp;lt;0 0 2 5 9 -8|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -2|, &amp;lt;0 3 -1 5|]&lt;br /&gt;
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.348 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:53:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:53 --&gt;Roulette&lt;/h1&gt;
Subgroup: 2.5.7.11.13&lt;br /&gt;
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
Sval name: 6&amp;amp;25&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family"&gt;Hemiwürschmidt&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~28/25 = 194.594&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 28/25; 176/175 1375/1372 640/637]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 2 2 2 5|, &amp;lt;0 0 2 5 9 -8|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -3 -7 13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
Map: [&amp;lt;1 0 -3 -7 13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.364 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.5567 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:261:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.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/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:261 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:262:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.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/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:262 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6"&gt;roulette6&lt;/a&gt; - six note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6"&gt;roulette6&lt;/a&gt; - six note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
Line 1,920: Line 1,921:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19"&gt;roulette19&lt;/a&gt; - nineteen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale"&gt;mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19"&gt;roulette19&lt;/a&gt; - nineteen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale"&gt;mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:55:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc27"&gt;&lt;a name="Sentry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:55 --&gt;Sentry&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:55:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc27"&gt;&lt;a name="Silver"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:55 --&gt;Silver&lt;/h1&gt;
  Group: 2.5/3.9/7&lt;br /&gt;
  Subgroup: 2.5.7.13.17&lt;br /&gt;
Commas: 245/243&lt;br /&gt;
Commas: 170/169, 640/637, 5525/5488&lt;br /&gt;
Svalname: 3&amp;amp;5&lt;br /&gt;
Sval name: 10&amp;amp;27&lt;br /&gt;
Related temperaments: sensi&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~9/7 = 440.902&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~13/8 = 842.711&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 245/243]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/8; 170/169 640/637 5525/5488]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0|, &amp;lt;0 0 2 -1|]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 -4 0 0 3 9|, &amp;lt;0 0 9 4 0 1 -7|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0|, &amp;lt;0 2 1|]&lt;br /&gt;
Map: [&amp;lt;1 5 4 4 2|, &amp;lt;0 -9 -4 -1 7|]&lt;br /&gt;
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc&lt;br /&gt;
EDOs: 7, 10, 17, 27, 37, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo"&gt;47&lt;/a&gt;, 84, 131, 178e, 309cde, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo"&gt;487bcdee&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.421 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.5886 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:263:&amp;lt;img src=&amp;quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:263 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry11"&gt;Eleven note note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:57:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:57 --&gt;Garibaldi&lt;/h1&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7"&gt;silver7&lt;/a&gt; -seven note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
Group: 2.3.5.7&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver10"&gt;silver10&lt;/a&gt; - ten note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
Commas: 225/224, 3125/3087&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;
Val name: 12&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~3/2 = 702.085&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:57:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:57 --&gt;Baldy&lt;/h1&gt;
Subgroup: 2.9.5.7.13&lt;br /&gt;
Commas: 225/224, 325/324, 640/637&lt;br /&gt;
Sval name: 6&amp;amp;35&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 225/224 3125/3087]&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~9/8 = 204.090&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 11], &amp;lt;0 1 -8 -14|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 25|, &amp;lt;0 1 -8 -14|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 225/224 325/324 640/637]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c&lt;br /&gt;
Gencom map: [&amp;lt;1 3/2 3 4 0 2|, &amp;lt;0 1/2 -4 -7 0 10|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.451 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:262:&amp;lt;img src=&amp;quot;/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png" alt="garibaldi_94edo.png" title="garibaldi_94edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:262 --&gt;&lt;br /&gt;
Map: [&amp;lt;1 0 15 25 -28|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
EDOs: 6, 11, 17, 23, 29, 35, 41, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo"&gt;47&lt;/a&gt;, 100, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/147edo"&gt;147&lt;/a&gt;, 488cd, 635cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.5999 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12"&gt;Twelve note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:264:&amp;lt;img src=&amp;quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:264 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:59:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:59 --&gt;Radon&lt;/h1&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6"&gt;baldy6&lt;/a&gt; - six note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy11"&gt;baldy11&lt;/a&gt; - eleven note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17"&gt;baldy17&lt;/a&gt; - seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:59:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="Guanyintet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:59 --&gt;Guanyintet&lt;/h1&gt;
Subgroup: 2.5.7/3.11/3&lt;br /&gt;
Commas: 176/175, 540/539&lt;br /&gt;
Svalname: 4&amp;amp;9&lt;br /&gt;
Related temperaments: guanyin, orwell&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~7/6 = 270.093&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 176/175 540/539]&lt;br /&gt;
Gencom map: [&amp;lt;1 -4/3 3 -1/3 5/3|, &amp;lt;0 4/3 -3 7/3 -11/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -2|, &amp;lt;0 3 -1 5|]&lt;br /&gt;
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.6028 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet13"&gt;Thirteen 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="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:61 --&gt;Radon&lt;/h1&gt;
  Subgroup: 2.3.7.11&lt;br /&gt;
  Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 896/891, 1029/1024&lt;br /&gt;
Commas: 896/891, 1029/1024&lt;br /&gt;
Line 1,971: Line 1,994:
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.454 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.6502 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:263:&amp;lt;img src=&amp;quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:263 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:265:&amp;lt;img src=&amp;quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:265 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Line 1,979: Line 2,002:
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:61:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc30"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:61 --&gt;Baldy&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:63:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc31"&gt;&lt;a name="Gariberttet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:63 --&gt;Gariberttet&lt;/h1&gt;
  Subgroup: 2.9.5.7.13&lt;br /&gt;
  Subgroup: 2.5/3.7/3.13/11&lt;br /&gt;
Commas: 225/224, 325/324, 640/637&lt;br /&gt;
Commas: 275/273, 847/845&lt;br /&gt;
Sval name: 6&amp;amp;35&lt;br /&gt;
Svalname: 4&amp;amp;29&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~9/8 = 204.090&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~13/11 = 293.679&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 225/224 325/324 640/637]&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;
Gencom map: [&amp;lt;1 3/2 3 4 0 2|, &amp;lt;0 1/2 -4 -7 0 10|]&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;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 25 -28|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 0|, &amp;lt;0 3 5 1|]&lt;br /&gt;
EDOs: 6, 11, 17, 23, 29, 35, 41, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo"&gt;47&lt;/a&gt;, 100, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/147edo"&gt;147&lt;/a&gt;, 488cd, 635cd&lt;br /&gt;
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.469 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.6914 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:264:&amp;lt;img src=&amp;quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:264 --&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/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;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6"&gt;baldy6&lt;/a&gt; - six note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:65:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Namo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:65 --&gt;Namo&lt;/h1&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy11"&gt;baldy11&lt;/a&gt; - eleven note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
Subgroup: 2.3.11.13&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17"&gt;baldy17&lt;/a&gt; - seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
Commas: 144/143, 243/242&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Valinorismic%20temperaments#Mandos"&gt;mandos&lt;/a&gt;, mohajira, hemif&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:63:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc31"&gt;&lt;a name="Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:63 --&gt;Photia&lt;/h1&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~11/9 = 351.488&lt;br /&gt;
Subgroup: 2.3.5.17.19&lt;br /&gt;
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
Sval name: 12&amp;amp;41&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~3/2 = 701.470&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 144/143 243/242]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2 4|, &amp;lt;0 2 0 0 5 -1|]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 171/170 256/255 324/323]&lt;br /&gt;
Map: [&amp;lt;1 1 2 4|, &amp;lt;0 2 5 -1|]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 0 0 0 0 6|, &amp;lt;0 1 -8 0 0 0 7 -3|]&lt;br /&gt;
EDOs: 7, 10, 17, 41, 58, 99cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.7038 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.520 cents&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:265:&amp;lt;img src=&amp;quot;/file/view/photia_65edo.png/284863542/photia_65edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:265 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:67:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Sentry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:67 --&gt;Sentry&lt;/h1&gt;
Group: 2.5/3.9/7&lt;br /&gt;
Commas: 245/243&lt;br /&gt;
Svalname: 3&amp;amp;5&lt;br /&gt;
Related temperaments: sensi&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~9/7 = 440.902&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:65:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Mabila"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:65 --&gt;Mabila&lt;/h1&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 245/243]&lt;br /&gt;
Subgroup: 2.5.7&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0|, &amp;lt;0 0 2 -1|]&lt;br /&gt;
Comma: 1071875/1048576&lt;br /&gt;
Sval name: 7&amp;amp;9&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~175/128 = 527.236&lt;br /&gt;
Map: [&amp;lt;1 0 0|, &amp;lt;0 2 1|]&lt;br /&gt;
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.7105 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 175/128; 1071875/1048576]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Gencom map: [&amp;lt;1 0 1 5}, &amp;lt;0, 0, 3, -5|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry11"&gt;Eleven note note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 5|, &amp;lt;0 3 -5|]&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:69:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc34"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:69 --&gt;Hemif&lt;/h1&gt;
EDOs: 7, 9, 16, 25, 41, 66, 305bc&lt;br /&gt;
Subgroup: 2.3.7.11.13&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.546 cents&lt;br /&gt;
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;, namo&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:266:&amp;lt;img src=&amp;quot;/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:266 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~11/9 = 351.691&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7"&gt;Seven note haplotonic scale&lt;/a&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;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila9"&gt;Nine note albitonic scale&lt;/a&gt;&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;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:67:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Silver"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:67 --&gt;Silver&lt;/h1&gt;
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
Subgroup: 2.5.7.13.17&lt;br /&gt;
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
Commas: 170/169, 640/637, 5525/5488&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.7167 cents&lt;br /&gt;
Sval name: 10&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~13/8 = 842.711&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:266:&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:266 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/8; 170/169 640/637 5525/5488]&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;
Gencom map: [&amp;lt;1 0 -4 0 0 3 9|, &amp;lt;0 0 9 4 0 1 -7|]&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;br /&gt;
Map: [&amp;lt;1 5 4 4 2|, &amp;lt;0 -9 -4 -1 7|]&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:71:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc35"&gt;&lt;a name="Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:71 --&gt;Garibaldi&lt;/h1&gt;
EDOs: 7, 10, 17, 27, 37, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo"&gt;47&lt;/a&gt;, 84, 131, 178e, 309cde, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo"&gt;487bcdee&lt;/a&gt;&lt;br /&gt;
Group: 2.3.5.7&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.557 cents&lt;br /&gt;
Commas: 225/224, 3125/3087&lt;br /&gt;
Val name: 12&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:267:&amp;lt;img src=&amp;quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:267 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~3/2 = 702.085&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7"&gt;silver7&lt;/a&gt; -seven note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 225/224 3125/3087]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver10"&gt;silver10&lt;/a&gt; - ten note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 11], &amp;lt;0 1 -8 -14|]&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:69:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc34"&gt;&lt;a name="Starlingtet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:69 --&gt;Starlingtet&lt;/h1&gt;
Map: [&amp;lt;1 0 15 25|, &amp;lt;0 1 -8 -14|]&lt;br /&gt;
Group: 2.5/3.7/3&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c&lt;br /&gt;
Comma: 126/125&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.7257 cents&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="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~6/5 = 311.154&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]&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:267:&amp;lt;img src=&amp;quot;/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png" alt="garibaldi_94edo.png" title="garibaldi_94edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:267 --&gt;&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;
Map: [&amp;lt;1 0 -1|, &amp;lt;0 1 3|]&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12"&gt;Twelve note albitonic scale&lt;/a&gt;&lt;br /&gt;
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.680 cents&lt;br /&gt;
&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;!-- ws:start:WikiTextHeadingRule:73:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc36"&gt;&lt;a name="Mabila"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:73 --&gt;Mabila&lt;/h1&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Subgroup: 2.5.7&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;
Comma: 1071875/1048576&lt;br /&gt;
Sval name: 7&amp;amp;9&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="Gariberttet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:71 --&gt;Gariberttet&lt;/h1&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~175/128 = 527.236&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="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~13/11 = 293.679&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 175/128; 1071875/1048576]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 1 5}, &amp;lt;0, 0, 3, -5|]&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 1 5|, &amp;lt;0 3 -5|]&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: 7, 9, 16, 25, 41, 66, 305bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.7729 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:268:&amp;lt;img src=&amp;quot;/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:268 --&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="/Tp%20tuning#T2%20tuning"&gt;T2 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/mabila7"&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/mabila9"&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;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:73:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc36"&gt;&lt;a name="Namo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:73 --&gt;Namo&lt;/h1&gt;
Subgroup: 2.3.11.13&lt;br /&gt;
Commas: 144/143, 243/242&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Valinorismic%20temperaments#Mandos"&gt;mandos&lt;/a&gt;, mohajira, hemif&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~11/9 = 351.488&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]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2 4|, &amp;lt;0 2 0 0 5 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 4|, &amp;lt;0 2 5 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 41, 58, 99cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.724 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:75:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Indium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:75 --&gt;Indium&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:75:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Indium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:75 --&gt;Indium&lt;/h1&gt;
Line 2,126: Line 2,128:
Map: [&amp;lt;1 0 0 2|, &amp;lt;0 6 10 -1|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 2|, &amp;lt;0 6 10 -1|]&lt;br /&gt;
EDOs: 33, 41, 49, 57, 106, 204, 253&lt;br /&gt;
EDOs: 33, 41, 49, 57, 106, 204, 253&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.741 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.7788 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:268:&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:268 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:269:&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:269 --&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;
Line 2,136: Line 2,138:
  &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;
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&lt;!-- ws:start:WikiTextHeadingRule:79:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc39"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:79 --&gt;Hemif&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:79:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc39"&gt;&lt;a name="Starlingtet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:79 --&gt;Starlingtet&lt;/h1&gt;
  Subgroup: 2.3.7.11.13&lt;br /&gt;
  Group: 2.5/3.7/3&lt;br /&gt;
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
Comma: 126/125&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;, namo&lt;br /&gt;
Svalname: 4&amp;amp;15&lt;br /&gt;
Related temperaments: starling; becomes myna&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~6/5 = 311.154&lt;br /&gt;
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&lt;a class="wiki_link" href="/Tp%20tuning"&gt;POT2 generator&lt;/a&gt;: ~11/9 = 351.691&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;
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&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 144/143 243/242 364/363]&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 2 4|, &amp;lt;0 2 0 13 5 -1|]&lt;br /&gt;
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.8398 cents&lt;br /&gt;
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Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&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: 7, 10, 17, 24, 41, 58&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="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.756 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;
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&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;
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&lt;!-- ws:start:WikiTextHeadingRule:81:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc40"&gt;&lt;a name="Myna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:81 --&gt;Myna&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:81:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc40"&gt;&lt;a name="Myna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:81 --&gt;Myna&lt;/h1&gt;
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Map: [&amp;lt;1 9 9 8|, &amp;lt;0 -10 -9 -7|]&lt;br /&gt;
Map: [&amp;lt;1 9 9 8|, &amp;lt;0 -10 -9 -7|]&lt;br /&gt;
EDOs: 4, 27, 31, 58, 89, 236c, 325cd&lt;br /&gt;
EDOs: 4, 27, 31, 58, 89, 236c, 325cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;T2 error&lt;/a&gt;: 1.903 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Tp%20tuning#T2%20tuning"&gt;RMS error&lt;/a&gt;: 0.9516 cents&lt;br /&gt;
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