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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-01 18:05:51 UTC</tt>.<br>
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<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
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=Definitions=
In the sections below, the pair temperaments are listed in order of increasing [[Tp tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full ''p''-limit groups.
By a //chromatic pair// is meant a pair of [[xenharmonic/MOSScales|MOS]] in some rank two temperament (which may often be a [[xenharmonic/Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with [[xenharmonic/Target tunings|tuning target]] the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.


=Terrain=  
== Terrain ==
Subgroup: 2.9/5.9/7
{{See also| Subgroup temperaments #Terrain }}
Commas: 250047/250000
Sval name: 6&amp;21
Related temperament: [[xenharmonic/Minortonic family#Domain|domain]]


[[xenharmonic/POTE generator|POTE generator]]: ~10/9 = 182.462
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]


Map: [&lt;3 0 -4|, &lt;0 1 2|]
Scales:  
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
* [[Terrain9]] – 9-tone albitonic scale
Error: 0.0443 cents
* [[Terrain15]] – 15-tone chromatic scale


Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
; Music
* ''5 5 1 mode of 33 equal'' (2013) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ blog] | [https://www.youtube.com/watch?v=2gYdUOPHXSQ YouTube] | [https://web.archive.org/web/20201127015117/http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play]


[[xenharmonic/terrain9|Nine note albitonic scale]]
== Petrtri ==
[[xenharmonic/terrain15|Fifteen note chromatic scale]]
{{See also| Subgroup temperaments #Petrtri }}


=Orgone=
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]
Subgroup: 2.7.11
Commas: 65536/65219
Svals: 4&amp;7


POTE generator: ~77/64 = 323.372
Scales:  
* [[Petrtri5]] – 5-tone haplotonic scale
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


Map: [&lt;1 2 4|, &lt;0 3, -2|]
== Barton ==
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
Error: 0.7313
{{See also| The Jacobins #Barton }}


[[xenharmonic/orgone7|Seven note albitonic scale]]
Scales:
[[xenharmonic/orgone11|Eleven note chromatic scale]]
* [[Barton5]] – 5-tone haplotonic scale
[[xenharmonic/orgone15|Fifteen note mega chromatic scale]]
* [[Barton7]] – 7-tone albitonic scale
* [[Barton9]] – 9-tone mega-albitonic scale
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


=Bridgetown=  
== Tridec ==
Subgroup: 2.3.11/5.13/5
{{See also| Subgroup temperaments #Tridec }}
Commas: 352/351, 676/675
Sval name: 5&amp;24
Related temperament: [[xenharmonic/The Archipelago|barabados]]


POTE generator: ~15/13 = 248.285
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
Scales:  
EDOs: 5, 9, 14, 19, 24, 29
* [[Tridec8]] – 8-tone albitonic scale
Error: 0.8996 cents
* [[Tridec13]] – 13-tone chromatic scale


[[xenharmonic/bridgetown9|Nine note albitonic scale]]
== Nestoria ==
[[xenharmonic/bridgetown14|Fourteen note chromatic scale]]
{{See also| Schismatic family #Nestoria (2.3.5.19)}}


==Music==
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]] by [[xenharmonic/Igliashon Jones|Igliashon Jones]]
[[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]] by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]


=Cata=
Scales:  
Subgroup: 2.3.5.13
* [[Nestoria7]] – 7-tone albitonic scale
Commas: 325/324, 625/624
* [[Nestoria12]] – 12-tone chromatic scale
Sval name: 15&amp;19
* [[Nestoria17]] – 17-tone mega chromatic scale
Related temperament: [[xenharmonic/Kleismic family|catakleismic]]


POTE generator: ~6/5 = 317.076
== Orgone ==
{{Main| Orgone }}
{{See also| Orgonia #Orgone }}


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333
Error: 0.9355 cents


[[image:xenharmonic/cata_246edo2.jpg]]
Scales:
[[xenharmonic/cata7|Seven note albitonic scale]]
* [[Orgone7]] – 7-tone albitonic scale
[[xenharmonic/cata11|Eleven note mega albitonic scale]]
* [[Orgone11]] – 11-tone chromatic scale
[[xenharmonic/cata15|Fifteen note chromatic scale]]
* [[Orgone15]] – 15-tone mega-chromatic scale
[[xenharmonic/cata19|Nineteen note mega chromatic scale]]


=Tridec=  
== Marveltwintri ==
Subgroup: 2.7/5.11/5.13/5
{{See also| Subgroup temperaments #Marveltwintri }}
Commas: 847/845, 1001/1000
Sval name: 5&amp;8


POTE generator: ~13/10 = 454.461
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]


Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]
Scales:  
EDOs: 5, 8, 21, 29, 37, 66, 169, 235
* [[Marveltwintri7]] – 7-tone albitonic scale
Error: 1.057
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


[[xenharmonic/Tridec8|Eight note albitonic scale]]
== Cata ==
[[xenharmonic/Tridec13|Thirteen note chromatic scale]]
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}


=Pepperoni=
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
Subgroup: 2.3.11/7.13/7
Commas: 352/351, 364/363
Sval name: 5&amp;12
Related temperament: The [[xenharmonic/Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.


POTE generator: ~3/2 = 704.052
Scales:  
* [[Cata7]] – 7-tone albitonic scale
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
== Bridgetown ==
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
{{See also| Subgroup temperaments #Bridgetown }}
Error: 1.298 cents


[[xenharmonic/pepperoni7|Seven note albitonic scale]]
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
[[xenharmonic/pepperoni12|Twelve note chromatic scale]]


=Slendric=
Scales:  
Subgroup: 2.3.7
* [[Bridgetown9]] – 9-tone albitonic scale
Comma: 1029/1024
* [[Bridgetown14]] – 14-tone chromatic scale
Sval name: 5&amp;21


POTE generator: ~8/7 = 233.688
; Music
* [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]]
* ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon


Map: [&lt;1 1 3|, &lt;0 3 -1|]
== Haumea ==
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
{{See also| Subgroup temperaments #Haumea }}
Error: 1.109 cents


[[image:xenharmonic/slendric_190edo.jpg]]
Scales:
* [[Haumea5]] – 5-tone haplotonic scale
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


[[xenharmonic/slendric5|Five note haplotonic scale]]
== Neutral ==
[[xenharmonic/slendric6|Six note haplotonic scale]]
{{See also| Rastmic clan #Neutral }}
[[xenharmonic/slendric11|Eleven note albitonic scale]]
[[xenharmonic/slendric16|Sixteen note chromatic scale]]


==Music==
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
[[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]
[[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]
by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]


=Nestoria=
Scales:  
Subgroup: 2.3.5.19
* [[Neutral7]] – 7-tone albitonic scale
Commas: 361/360, 513/512
* [[Neutral10]] – 10-tone chromatic scale
Sval name: 12&amp;29
* [[Neutral17]] – 17-tone mega-chromatic scale
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.746
; Music
* [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning


Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]
== Slendric ==
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
{{Main| Slendric }}
Error: 1.819 cents
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


[[xenharmonic/nestoria7|Seven note albitonic scale]]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
[[xenharmonic/nestoria12|Twelve note chromatic scale]]


=Photia=
Scales:
Subgroup: 2.3.5.17.19
* [[Slendric5]] – 5-tone haplotonic scale
Commas: 171/170, 256/255, 324/323
* [[Slendric6]] – 6-tone haplotonic scale
Sval name: 12&amp;41
* [[Slendric11]] – 11-tone albitonic scale
Related temperament: [[xenharmonic/Schismatic family|schismatic]]
* [[Slendric16]] – 16-tone chromatic scale


POTE generator: ~3/2 = 701.470
== Huntington ==
{{See also| No-threes subgroup temperaments #Huntington }}


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
EDOs: 7, 12, 17, 29, 41, 53, 65
Error: 3.457 cents


[[xenharmonic/photia7|Seven note albitonic scale]]
Scales:
[[xenharmonic/photia12|Twelve note chromatic scale]]
* [[Huntington7]] – 7-tone haplotonic scale
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


=Huntington=  
== Tobago ==
Subgroup: 2.5.7.13
{{See also| Subgroup temperaments #Tobago }}
Commas: 640/637, 10985/10976
Sval name: 10&amp;27


POTE generator: ~16/13 = 357.002
Scales:  
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
== Pepperoni ==
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
{{See also| Parapyth }}
Error: 2.1001 cents
{{See also| Subgroup temperaments #Pepperoni }}


[[xenharmonic/huntington7|Seven note haplotonic scale]]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
[[xenharmonic/huntington10|Ten note albitonic scale]]
[[xenharmonic/huntington17|Seventeen note chromatic scale]]


=Shoe=
Scales:
Subgroup: 2.5.7.11.13
* [[Pepperoni7]] – 7-tone albitonic scale
Commas: 176/175, 640/637, 847/845
* [[Pepperoni12]] – 12-tone chromatic scale
Sval name: 16&amp;21


POTE generator: ~8/7 = 227.108
== Wizz ==
{{See also| No-threes subgroup temperaments #Wizz }}


Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
Scales:  
EDOs: 16, 21, 37
* [[Wizz6]] – 6-tone haplotonic scale
Error: 2.488
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


[[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
== Bossier ==
[[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
{{See also| No-threes subgroup temperaments #Bossier }}
[[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]


=Roulette=
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
Subgroup: 2.5.7.11.13
Commas: 176/175, 1375/1372, 640/637
Sval name: 6&amp;25
Related temperament: [[xenharmonic/Wuerschmidt family|Hemiwuerschmidt]]


POTE generator: ~28/25 = 194.594
Scales:  
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
== Penta a.k.a. mechanism ==
EDOs: 6, 7, 13, 19, 25, 31, 37
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}
Error: 2.555 cents


[[image:xenharmonic/roulette_37edo.jpg]]
Scales:
* [[Penta5]] – 5-tone haplotonic scale
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


[[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
== Bluebirds ==
[[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]]
{{See also| No-threes subgroup temperaments #Bluebirds }}
[[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]


=Garibaldi=
Scales:
Group: 2.3.5.7
* [[Bluebirds6]] – 6-tone haplotonic scale
Commas: 225/224, 3125/3087
* [[Bluebirds7]] – 7-tone albitonic scale
Val name: 12&amp;29
* [[Bluebirds13]] – 13-tone chromatic scale


POTE generator: ~3/2 = 702.085
== Marveltri ==
{{See also| Subgroup temperaments #Marveltri }}


Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 94
* [[Marveltri7]] – 7-tone albitonic scale
Error: 2.834
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


[[xenharmonic/garibaldi12|Twelve note albitonic scale]]
== Edson ==
[[xenharmonic/garibaldi17|Seventeen note chromatic scale]]
{{See also| Subgroup temperaments #Edson }}


=Baldy=
Scales:
Subgroup: 2.9.5.7.13
* [[Edson5]] – 5-tone haplotonic scale
Commas: 225/224, 325/324, 640/637
* [[Edson7]] – 7-tone albitonic scale
Sval name: 6&amp;35
* [[Edson12]] – 12-tone chromatic scale
Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]
* [[Edson17]] – 17-tone mega-chromatic scale


POTE generator: ~9/8 = 204.090
== Photia ==
{{See also| Schismatic family #Photia (2.3.5.17) }}


Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]]
Error: 2.617 cents


[[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Photia7]] – 7-tone albitonic scale
[[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Photia12]] – 12-tone chromatic scale


=Bossier=  
== Shoe a.k.a. llywelyn ==
Subgroup: 2.7.11.13
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}
Commas: 1573/1569, 15488/15379
Sval name: 3&amp;17


POTE generator: ~14/11 = 421.309
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]


Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
Scales:
EDOs: 17, 20, 37, 57, 94, 225
* [[Shoe5]] – 5-tone mini-haplotonic scale
Error: 2.665 cents
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


[[xenharmonic/bossier8|Eight note albitonic scale]]
== Roulette ==
[[xenharmonic/bossier11|Eleven note chromatic scale]]
{{See also | Hemimean clan #Roulette }}
[[xenharmonic/bossier14|Fourteen note mega chromatic scale]]


=Radon=
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
Subgroup: 2.3.7.11
Commas: 896/891, 1029/1024
Sval name: 5&amp;36
Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]


POTE generator: ~8/7 = 234.381
Scales:  
* [[Roulette6]] – 6-tone haplotonic scale
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
== Silver ==
EDOs: 5, 36, 41, 87, 128
{{See also | No-threes subgroup temperaments #Silver }}
Error: 2.925 cents


[[xenharmonic/radon5|Five note haplotonic scale]]
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
[[xenharmonic/radon11|Eleven note albitonic scale]]
[[xenharmonic/radon16|Sixteen note chromatic scale]]


=Myna=
Scales:
Group: 2.3.5.7
* [[Silver7]] – 7-tone haplotonic scale
Commas: 126/125, 1728/1715
* [[Silver10]] – 10-tone albitonic scale
Val name: 4&amp;27
* [[Silver17]] – 17-tone chromatic scale


POTE generator: ~6/5 = 310.146
== Baldy ==
{{See also| Subgroup temperaments #Baldy }}


Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
EDOs: 4, 27, 31, 58, 89
Error: 3.310 cents


[[xenharmonic/myna7|Seven note haplotonic scale]]
Scales
[[xenharmonic/myna11|Eleven note albitonic scale]]
* [[Baldy6]] – 6-tone haplotonic scale
[[xenharmonic/myna15|Fifteen note chromatic scale]]
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


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


POTE generator: ~13/8 = 842.711
== Guanyintet ==
{{See also | Subgroup temperaments #Guanyintet }}


Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
Scales:  
EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]]
* [[Guanyintet5]] – 5-tone haplotonic scale
Error: 3.437
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


[[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]]
== Radon ==
[[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
{{See also| Gamelismic clan #Radon }}
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]


=Mabila=
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
Subgroup: 2.5.7
Comma: 1071875/1048576
Sval name: 7&amp;9


POTE generator: ~175/128 = 527.236
* [[Radon5]] – 5-tone haplotonic scale
* [[Radon11]] – 11-tone albitonic scale
* [[Radon16]] – 16-tone chromatic scale


Map: [&lt;1 1 5|, &lt;0 3 -5|]
== Gariberttet ==
EDOs: 7, 9, 16, 25, 41, 66
{{See also | Subgroup temperaments #Gariberttet }}
Error: 3.560


[[xenharmonic/mabila7|Seven note haplotonic scale]]
Scales:
[[xenharmonic/mabila9|Nine note albitonic scale]]
* [[Gariberttet5]] – 5-tone haplotonic scale
[[xenharmonic/mabila16|Sixteen note chromatic scale]]
* [[Gariberttet9]] – 9-tone albitonic scale
* [[Gariberttet13]] – 13-tone chromatic scale


=Meantone=  
== Namo ==
Group: 2.3.5.7
{{See also| Rastmic clan #Namo }}
Commas: 81/80, 126/125
Val name: 12&amp;19


POTE generator: 696.495
Scales:  
* [[Namo7]] – 7-tone haplotonic scale
* [[Namo10]] – 10-tone albitonic scale
* [[Namo17]] – 17-tone chromatic scale


Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
== Sentry ==
EDOs: 5, 7, 12, 19, 31, 81, 112, 143
{{See also | Subgroup temperaments #Sentry }}
Error: 3.585


[[xenharmonic/meantone5|Five note haplotonic scale]]
Scales:
[[xenharmonic/meantone7|Seven note albitonic scale]]
* [[Sentry5]] – 5-tone haplotonic scale
[[xenharmonic/meantone12|Twelve note chromatic scale]]
* [[Sentry8]] – 8-tone albitonic scale
* [[Sentry11]] – 11-tone chromatic scale


=Indium=  
== Hemif ==
Subgroup: 2.5/3.7/3.11/3
{{See also| No-fives subgroup temperaments #Hemif }}
Commas: 3025/3024, 3125/3087
Sval name: 8&amp;33


POTE generator: ~12/11 = 147.159
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]


Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
Scales:  
EDOs: 33, 41, 49, 57, 106, 204, 253
* [[Hemif7]] – 7-tone haplotonic scale
Error: 3.968 cents
* [[Hemif10]] – 10-tone albitonic scale
* [[Hemif17]] – 17-tone chromatic scale


[[xenharmonic/indium8|Eight note albitonic scale]]
== Garibaldi ==
[[xenharmonic/indium17|Seventeen note chromatic scale]]
{{Main| Garibaldi temperament }}
{{See also| Schismatic family #Garibaldi }}


=Magic=
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
Group: 2.3.5.7.11
Commas: 100/99, 225/224, 245/243
Val name: 19&amp;22


POTE generator: ~5/4 = 380.696
Scales:  
* [[Garibaldi12]] – 12-tone albitonic scale
* [[Garibaldi17]] – 17-tone chromatic scale


Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
== Mabilic ==
EDOs: 19, 22, 41, 104, 145
{{See also| No-threes subgroup temperaments #Mabilic }}
Error: 4.489


[[image:xenharmonic/magic_145edo.jpg]]
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]


[[xenharmonic/magic7|Seven note haplotonic scale]]
Scales:
[[xenharmonic/magic10|Ten note albitonic scale]]
* [[Mabilic7]] – 7-tone haplotonic scale
[[xenharmonic/magic13|Thirteen note chromatic scale]]
* [[Mabilic9]] – 9-tone albitonic scale
[[xenharmonic/magic16|Sixteen note mega chromatic scale]]
* [[Mabilic16]] – 16-tone chromatic scale


=Hemif=  
== Indium ==
Subgroup: 2.3.7.11.13
{{See also | Subgroup temperaments #Indium }}
Commas: 144/143, 243/242, 364/363
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]


POTE generator: ~11/9 = 351.691
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
Scales:  
EDOs: 7, 10, 17, 24, 41, 58
* [[Indium8]] – 8-tone albitonic scale
Error: 4.867 cents
* [[Indium17]] – 17-tone chromatic scale


[[xenharmonic/hemif7|Seven note haplotonic scale]]
; Music
[[xenharmonic/hemif10|Ten note albitonic scale]]
* ''The Cry of Indium'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/the-cry-of-indium/ blog] | [https://web.archive.org/web/20201127012551/http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 play] – in Indium[17]
[[xenharmonic/hemif17|Seventeen note chromatic scale]]


=Skwares=  
== Starlingtet ==
Subgroup: 2.3.7.11
{{See also | Subgroup temperaments #Starlingtet }}
Commas: 99/98, 243/242
Related temperament: [[xenharmonic/Meantone family|squares]]


POTE generator: ~9/7 = 425.244
Scales:  
* [[Starlingtet4]] – 4-tone haplotonic scale
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
== Lovecraft ==
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
{{See also | No-threes subgroup temperaments #Lovecraft }}
Error: 4.942 cents


[[xenharmonic/skwares8|Eight note albitonic scale]]
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
[[xenharmonic/skwares11|Eleven note mega albitonic scale]]
[[xenharmonic/skwares14|Fourteen note chromatic scale]]


=Sensi=
Scales:
Group: 2.3.5.7
* [[Lovecraft5]] – 5-tone haplotonic scale
Commas: 126/126, 245/243
* [[Lovecraft9]] – 9-tone albitonic scale
Val name: 19&amp;27
* [[Lovecraft13]] – 13-tone chromatic scale


POTE generator: ~9/7 = 443.383
== Blackbirds ==
{{See also | No-threes subgroup temperaments #Blackbirds }}


Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
Scales:  
EDOs: 5, 8, 11, 19, 27, 46
* [[Blackbirds8]] – 8-tone albitonic scale
Error: 5.019
* [[Blackbirds12]] – 12-tone chromatic scale
* [[Blackbirds16]] – 16-tone mega-chromatic scale


[[image:xenharmonic/sensi_46edo.jpg]]
== Laz ==
{{See also | Subgroup temperaments #Laz }}


[[xenharmonic/sensi5|Five note haplotonic scale]]
Scales:
[[xenharmonic/sensi8|Eight note albitonic scale]]
* [[Laz5]] – 5-tone haplotonic scale
[[xenharmonic/sensi11|Eleven note mega albitonic scale]]
* [[Laz9]] – 9-tone albitonic scale
[[xenharmonic/sensi19|Nineteen note chromatic scale]]
* [[Laz13]] – 13-tone chromatic scale


=Greeley=  
== Myna ==
Subgroup: 2.5/3.7/3.11/3
{{Main| Myna }}
Commas: 121/120, 126/125
{{See also| Starling temperaments #Myna }}


POTE generator: ~11/10 = 156.055
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
Scales:  
EDOs: 8, 15, 23, 77, 100
* [[Myna7]] – 7-tone haplotonic scale
Error: 5.404 cents
* [[Myna11]] – 11-tone albitonic scale
* [[Myna15]] – 15-tone chromatic scale


[[xenharmonic/greeley8|Eight note albitonic scale]]
== Greeley ==
[[xenharmonic/greeley15|Fifteen note chromatic scale]]
{{See also| Subgroup temperaments #Greeley }}


==Music==
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
[[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]] by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15


=Semidim=
Scales:  
Subgroup: 2.5/3.7/3.11/3.13/3
* [[Greeley8]] – 8-tone albitonic scale
Commas: 121/120, 169/168, 275/273
* [[Greeley15]] – 15-tone chromatic scale
Sval name: 8&amp;29


POTE generator: ~13/10 = 453.190
; Music
* ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15]


Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
== Ammon ==
EDOs: 5, 8, 13, 21, 29, 37, 45
{{See also| Subgroup temperaments #Ammon }}
Error: 5.433 cents


[[xenharmonic/semidim8|Eight note albitonic scale]]
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
[[xenharmonic/semidim13|Thirteen note chromatic scale]]


=Orwell=
Scales:  
Group: 2.3.5.7.11
* [[Ammon8]] – 8-tone albitonic scale
Commas: 99/98, 121/120, 176/175
* [[Ammon13]] – 13-tone chromatic scale
Val name: 9&amp;22


POTE generator: ~7/6 = 271.426
== Mothwelltri ==
{{See also| Subgroup temperaments #Mothwelltri }}


Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
Scales:  
EDOs: 9, 22, 31, 53, 84
* [[Mothwelltri5]] – 5-tone haplotonic scale
Error: 5.584
* [[Mothwelltri9]] – 9-tone albitonic scale
* [[Mothwelltri13]] – 13-tone chromatic scale


[[xenharmonic/orwell5|Five note haplotonic scale]]
== Sulis ==
[[xenharmonic/orwell9|Nine note albitonic scale]]
{{See also| Subgroup temperaments #Sulis }}
[[xenharmonic/orwell13|Thirteen note chromatic scale]]


=Bleu=
Scales:
Group: 2.3.7.11.13
* [[Sulis7]] – 7-tone haplotonic scale
Commas: 78/77, 99/98, 144/143
* [[Sulis10]] – 10-tone albitonic scale
Sval name: 9&amp;17
* [[Sulis13]] – 13-tone chromatic scale


POTE generator: ~13/12 = 139.990
== Skwares ==
{{Main| Squares }}
{{See also| No-fives subgroup temperaments #Skwares }}


Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
EDOs: [[xenharmonic/9edo|9]], [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60]]
Error: 6.361


[[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Skwares8]] – 8-tone albitonic scale
[[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale


=Mohaha=  
== Orwell ==
Subgroup: 2.3.5.11
{{Main| Orwell }}
Commas: 81/80, 121/120
{{See also| Semicomma family #Orwell }}
Related temperament: [[xenharmonic/Meantone family|mohajira]]


POTE generator: ~11/9 = 348.094
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
Scales:  
EDOs: 7, 10, 17, 24, 31, 131
* [[Orwell5]] – 5-tone haplotonic scale
Error: 6.733 cents
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone chromatic scale


[[xenharmonic/mohaha7|Seven note albitonic scale]]
== Magicaltet ==
[[xenharmonic/mohaha10|Ten note chromatic scale]]
{{See also| Subgroup temperaments #Magicaltet }}


==Mohoho==
Scales:
Subgroup: 2.3.5.11.13
* [[Magicaltet7]] – 7-tone albitonic scale
Commas: 66/65, 81/80, 121/120
* [[Magicaltet11]] – 11-tone chromatic scale
* [[Magicaltet15]] – 15-tone mega-chromatic scale


POTE generator: ~11/9 = 348.916
== Magic ==
{{Main| Magic }}
{{See also| Magic family #Magic }}


Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
EDOs: 7, 10, 17, 24, 31, 55
Error: 9.556 cents


=Tutone=
Scales:
Subgroup: 2.9.5.7.11
* [[Magic7]] – 7-tone haplotonic scale
Commas: 81/80, 99/98, 126/125
* [[Magic10]] – 10-tone albitonic scale
Related temperament: [[xenharmonic/Meantone family|meantone]]
* [[Magic13]] – 13-tone chromatic scale
* [[Magic16]] – 16-tone mega-chromatic scale


POTE generator: ~9/8 = 193.937
== Kiribati ==
{{See also| Subgroup temperaments #Kiribati }}


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 99
* [[Kiribati13]] – 13-tone chromatic scale
Error: 7.047 cents
* [[Kiribati14]] – 14-tone chromatic scale


[[xenharmonic/tutone6|Six note haplotonic scale]]
== Score ==
[[xenharmonic/tutone7|Seven note albitonic scale]]
{{See also|No-threes subgroup temperaments #Score }}
[[xenharmonic/tutone13|Thirteen note chromatic scale]]


=Leantone=
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
Subgroup: 2.9.5.7.11
Commas: 45/44, 56/55, 81/80
Related temperament: [[xenharmonic/Meantone family|flattone]]


POTE generator: ~9/8 = 192.500
Scales:  
* [[Score5]] – 5-tone haplotonic scale
* [[Score7]] – 7-tone albitonic scale
* [[Score9]] – 9-tone mega-albitonic scale
* [[Score11]] – 11-tone chromatic scale


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
== Sensi ==
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
{{Main| Sensi }}
Error: 20.338 cents
{{See also| Sensipent family #Sensi }}


[[xenharmonic/leantone6|Six note haplotonic scale]]
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
[[xenharmonic/leantone7|Seven note albitonic scale]]
[[xenharmonic/leantone13|Thirteen note chromatic scale]]


=Score=
Scales:
Subgroup: 2.7.11.13
* [[Sensi5]] – 5-tone haplotonic scale
Commas: 343/338, 847/832
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


POTE generator: ~11/8 = 540.099
=== Sensation ===
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
Scales:  
EDOs: 5, 7, 9, 11, 20
* [[Sensi5]] – 5-tone haplotonic scale
Error: 8.052 cents
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


[[image:score_20edo.jpg]]
== Meantone ==
{{Main| Meantone }}
{{See also| Meantone family #Meantone }}


[[xenharmonic/score5|Five note haplotonic scale]]
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
[[xenharmonic/score7|Seven note albitonic scale]]
[[xenharmonic/score9|Nine note mega albitonic scale]]
[[xenharmonic/score11|Eleven note chromatic scale]]


=Supra=
Scales:
Subgroup: 2.3.7.11
* [[Meantone5]] – 5-tone haplotonic scale
Commas: 64/63, 99/98
* [[Meantone7]] – 7-tone albitonic scale
Related temperament: [[xenharmonic/suprapyth|suprapyth]]
* [[Meantone12]] – 12-tone chromatic scale


POTE generator: ~3/2 = 707.192
== Mohaha ==
{{See also| Rastmic clan #Mohaha }}


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
EDOs: 5, 7, 12, 17, 22, 39, 56
Error: 9.795 cents


[[xenharmonic/supra7|Seven note albitonic scale]]
Scales:
[[xenharmonic/supra12|Twelve note chromatic scale]]
* [[Mohaha7]] – 7-tone albitonic scale
* [[Mohaha10]] – 10-tone chromatic scale


==Supraphon==
Music:
Subgroup: 2.3.7.11.13
; [[Billy Stiltner]]
Commas: 64/63, 78/77, 99/98
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}


POTE generator: ~3/2 = 706.137
=== Mohoho ===
{{See also| Rastmic clan #Mohoho }}


Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
== Joan ==
EDOs: 5, 7, 12, 17
{{See also| Subgroup temperaments #Joan }}
Error: 10.534 cents


==Machine==
Scales:
Subgroup: 2.9.7.11
* [[Joan5]] – 5-tone haplotonic scale
Commas: 64/63, 99/98
* [[Joan7]] – 7-tone albitonic scale
* [[Joan9]] – 9-tone mega-albitonic scale
* [[Joan11]] – 11-tone chromatic scale


POTE generator: ~9/8 = 214.384
== Tutone ==
{{See also| Hemimean clan #Tutone }}


Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
EDOs: 5, 6, 11, 17, 28
Error: 10.100 cents


[[xenharmonic/machine5|Five note haplotonic scale]]
Scales:
[[xenharmonic/machine6|Six note albitonic scale]]
* [[Tutone6]] – 6-tone haplotonic scale
[[xenharmonic/machine11|Eleven note chromatic scale]]
* [[Tutone7]] – 7-tone albitonic scale
* [[Tutone13]] – 13-tone chromatic scale


=Antikythera=  
== Stacks ==
Subgroup: 2.9.5.7
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
Commas: 50/49, 64/63
Related temperament: [[xenharmonic/pajara|pajara]]


POTE generator: ~8/7 = 214.095
Scales:  
* [[Stacks5]] – 5-tone haplotonic scale
* [[Stacks8]] – 8-tone albitonic scale
* [[Stacks11]] – 11-tone chromatic scale
* [[Stacks19]] – 19-tone mega-chromatic scale


Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
== Bleu ==
EDOS: 4, 6, 10, 16, 22, 28
{{See also| No-fives subgroup temperaments #Bleu }}
Error: 11.508 cents


[[xenharmonic/antikythera6|Six note haplotonic scale]]
Scales:
[[xenharmonic/antikythera10|Ten note albitonic scale]]
* [[Bleu8]] – 8-tone haplotonic scale
[[xenharmonic/antikythera16|Sixteen note chromatic scale]]
* [[Bleu9]] – 9-tone albitonic scale
* [[Bleu17]] – 17-tone chromatic scale


=Deutone=  
== Sephiroth ==
Subgroup: 2.9.5.7.13
{{See also| No-threes subgroup temperaments #Sephiroth }}
Commas: 65/64, 81/80, 91/90
Related temperament: [[xenharmonic/Meantone family|meanpop]]


POTE generator: ~9/8 = 191.059
Scales:  
* [[Sephiroth7]] – 7-tone haplotonic scale
* [[Sephiroth10]] – 10-tone albitonic scale
* [[Sephiroth13]] – 13-tone chromatic scale
* [[Sephiroth16]] – 16-tone mega-chromatic scale


Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
== Archy ==
EDOs: 6, 7, 13, 19, 25, 44, 69
{{Main| Superpyth }}
Error: 12.145 cents
{{See also| Archytas clan #Archy }}


[[xenharmonic/deutone6|Six note haplotonic scale]]
Scales:
[[xenharmonic/deutone7|seven note albitonic scale]]
* [[Archy5]] – 5-tone haplotonic scale
[[xenharmonic/deutone13|Thirteen note chromatic scale]]
* [[Archy7]] – 7-tone albitonic scale
* [[Archy12]] – 12-tone chromatic scale


=Semiphore=  
=== Supra ===
Subgroup: 2.3.7
{{Main| Superpyth }}
Comma: 49/48
{{See also| Archytas clan #Supra }}


POTE generator: ~7/6 = 250.385
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]


Map: [&lt;1 0 2|, &lt;0 2 1|]
Scales:  
EDOs: 5, 9, 14, 19, 24
* [[Supra7]] – 7-tone [[albitonic scale]]
Error: 12.428
* [[Supra12]] – 12-tone [[chromatic scale]]


[[xenharmonic/semiphore5|Five note haplotonic scale]]
=== Supraphon ===
[[xenharmonic/semiphore9|Nine note albitonic scale]]
{{Main| Superpyth }}
[[xenharmonic/semiphore14|Fourteen note chromatic scale]]
{{See also| Archytas clan #Supraphon }}


=Augment=  
== Suhajira ==
Subgroup: 2.5.7.11
{{See also| Archytas clan #Suhajira }}
Commas: 56/55, 128/125
Related temperament: [[xenharmonic/Augmented family|augmented]]


POTE generator: ~8/7 = 228.275
Scales:  
* [[Suhajira7]] – 7-tone haplotonic scale
* [[Suhajira10]] – 10-tone albitonic scale
* [[Suhajira17]] – 17-tone chromatic scale


Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
== Machine ==
EDOs: 3, 6, 9, 15, 21
{{See also| Subgroup temperaments #Machine}}
Error: 12.830 cents


[[xenharmonic/augment6|Six note haplotonic scale]]
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
[[xenharmonic/augment9|Nine note albitonic scale]]
 
[[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div>
Scales:
<h4>Original HTML content:</h4>
* [[Machine5]] – 5-tone haplotonic scale
<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:91:&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:91 --&gt;&lt;!-- ws:start:WikiTextTocRule:92: --&gt;&lt;a href="#Definitions"&gt;Definitions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:92 --&gt;&lt;!-- ws:start:WikiTextTocRule:93: --&gt; | &lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:93 --&gt;&lt;!-- ws:start:WikiTextTocRule:94: --&gt; | &lt;a href="#Orgone"&gt;Orgone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:94 --&gt;&lt;!-- ws:start:WikiTextTocRule:95: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:95 --&gt;&lt;!-- ws:start:WikiTextTocRule:96: --&gt;&lt;!-- ws:end:WikiTextTocRule:96 --&gt;&lt;!-- ws:start:WikiTextTocRule:97: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:97 --&gt;&lt;!-- ws:start:WikiTextTocRule:98: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:98 --&gt;&lt;!-- ws:start:WikiTextTocRule:99: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:99 --&gt;&lt;!-- ws:start:WikiTextTocRule:100: --&gt; | &lt;a href="#Slendric"&gt;Slendric&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:100 --&gt;&lt;!-- ws:start:WikiTextTocRule:101: --&gt;&lt;!-- ws:end:WikiTextTocRule:101 --&gt;&lt;!-- ws:start:WikiTextTocRule:102: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:102 --&gt;&lt;!-- ws:start:WikiTextTocRule:103: --&gt; | &lt;a href="#Photia"&gt;Photia&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:103 --&gt;&lt;!-- ws:start:WikiTextTocRule:104: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:104 --&gt;&lt;!-- ws:start:WikiTextTocRule:105: --&gt; | &lt;a href="#Shoe"&gt;Shoe&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:105 --&gt;&lt;!-- ws:start:WikiTextTocRule:106: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:106 --&gt;&lt;!-- ws:start:WikiTextTocRule:107: --&gt; | &lt;a href="#Garibaldi"&gt;Garibaldi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:107 --&gt;&lt;!-- ws:start:WikiTextTocRule:108: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:108 --&gt;&lt;!-- ws:start:WikiTextTocRule:109: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:109 --&gt;&lt;!-- ws:start:WikiTextTocRule:110: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:110 --&gt;&lt;!-- ws:start:WikiTextTocRule:111: --&gt; | &lt;a href="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:111 --&gt;&lt;!-- ws:start:WikiTextTocRule:112: --&gt; | &lt;a href="#Silver"&gt;Silver&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:112 --&gt;&lt;!-- ws:start:WikiTextTocRule:113: --&gt; | &lt;a href="#Mabila"&gt;Mabila&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:113 --&gt;&lt;!-- ws:start:WikiTextTocRule:114: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:114 --&gt;&lt;!-- ws:start:WikiTextTocRule:115: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:115 --&gt;&lt;!-- ws:start:WikiTextTocRule:116: --&gt; | &lt;a href="#Magic"&gt;Magic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:116 --&gt;&lt;!-- ws:start:WikiTextTocRule:117: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:117 --&gt;&lt;!-- ws:start:WikiTextTocRule:118: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:118 --&gt;&lt;!-- ws:start:WikiTextTocRule:119: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:119 --&gt;&lt;!-- ws:start:WikiTextTocRule:120: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:120 --&gt;&lt;!-- ws:start:WikiTextTocRule:121: --&gt;&lt;!-- ws:end:WikiTextTocRule:121 --&gt;&lt;!-- ws:start:WikiTextTocRule:122: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:122 --&gt;&lt;!-- ws:start:WikiTextTocRule:123: --&gt; | &lt;a href="#Orwell"&gt;Orwell&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:123 --&gt;&lt;!-- ws:start:WikiTextTocRule:124: --&gt; | &lt;a href="#Bleu"&gt;Bleu&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:124 --&gt;&lt;!-- ws:start:WikiTextTocRule:125: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:125 --&gt;&lt;!-- ws:start:WikiTextTocRule:126: --&gt;&lt;!-- ws:end:WikiTextTocRule:126 --&gt;&lt;!-- ws:start:WikiTextTocRule:127: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:127 --&gt;&lt;!-- ws:start:WikiTextTocRule:128: --&gt; | &lt;a href="#Leantone"&gt;Leantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:128 --&gt;&lt;!-- ws:start:WikiTextTocRule:129: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:129 --&gt;&lt;!-- ws:start:WikiTextTocRule:130: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:130 --&gt;&lt;!-- ws:start:WikiTextTocRule:131: --&gt;&lt;!-- ws:end:WikiTextTocRule:131 --&gt;&lt;!-- ws:start:WikiTextTocRule:132: --&gt;&lt;!-- ws:end:WikiTextTocRule:132 --&gt;&lt;!-- ws:start:WikiTextTocRule:133: --&gt; | &lt;a href="#Antikythera"&gt;Antikythera&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:133 --&gt;&lt;!-- ws:start:WikiTextTocRule:134: --&gt; | &lt;a href="#Deutone"&gt;Deutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:134 --&gt;&lt;!-- ws:start:WikiTextTocRule:135: --&gt; | &lt;a href="#Semiphore"&gt;Semiphore&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:135 --&gt;&lt;!-- ws:start:WikiTextTocRule:136: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:136 --&gt;&lt;!-- ws:start:WikiTextTocRule:137: --&gt;
* [[Machine6]] – 6-tone albitonic scale
&lt;!-- ws:end:WikiTextTocRule:137 --&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;
* [[Machine11]] – 11-tone chromatic scale
&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
 
&lt;hr /&gt;
== Deutone ==
&lt;br /&gt;
{{See also| Hemimean clan #Deutone }}
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Definitions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Definitions&lt;/h1&gt;
 
By a &lt;em&gt;chromatic pair&lt;/em&gt; is meant a pair of &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales"&gt;MOS&lt;/a&gt; in some rank two temperament (which may often be a &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups"&gt;subgroup temperament&lt;/a&gt;) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &amp;quot;albitonic&amp;quot; from the Latin word for &amp;quot;white&amp;quot;. Also included at times are &amp;quot;haplotonic&amp;quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Target%20tunings"&gt;tuning target&lt;/a&gt; the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.&lt;br /&gt;
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Terrain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Terrain&lt;/h1&gt;
Scales:  
Subgroup: 2.9/5.9/7&lt;br /&gt;
* [[Deutone6]] – 6-tone haplotonic scale
Commas: 250047/250000&lt;br /&gt;
* [[Deutone7]] – 7-tone albitonic scale
Sval name: 6&amp;amp;21&lt;br /&gt;
* [[Deutone13]] – 13-tone chromatic scale
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Negra ==
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~10/9 = 182.462&lt;br /&gt;
{{Main| Negri }}
&lt;br /&gt;
{{See also| Marvel temperaments #Negri }}
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
 
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
== Porkypine ==
Error: 0.0443 cents&lt;br /&gt;
{{Main| Porcupine }}
&lt;br /&gt;
{{See also| Porcupine family #Porcupine }}
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Porkypine7]] – 7-tone haplotonic scale
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Porkypine8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Porkypine15]] – 15-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Orgone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;Orgone&lt;/h1&gt;
 
Subgroup: 2.7.11&lt;br /&gt;
== Skateboard ==
Commas: 65536/65219&lt;br /&gt;
{{See also| Subgroup temperaments #Skateboard }}
Svals: 4&amp;amp;7&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~77/64 = 323.372&lt;br /&gt;
* [[Skateboard7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Skateboard11]] – 11-tone albitonic scale
Map: [&amp;lt;1 2 4|, &amp;lt;0 3, -2|]&lt;br /&gt;
* [[Skateboard15]] – 15-tone chromatic scale
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308&lt;br /&gt;
 
Error: 0.7313&lt;br /&gt;
== Augment ==
&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Augment }}
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone15"&gt;Fifteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Bridgetown&lt;/h1&gt;
* [[Augment6]] – 6-tone haplotonic scale
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
* [[Augment9]] – 9-tone albitonic scale
Commas: 352/351, 676/675&lt;br /&gt;
* [[Augment12]] – 12-tone chromatic scale
Sval name: 5&amp;amp;24&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago"&gt;barabados&lt;/a&gt;&lt;br /&gt;
== Semaphore ==
&lt;br /&gt;
{{Main| Semaphore and godzilla }}
POTE generator: ~15/13 = 248.285&lt;br /&gt;
{{See also| Semaphoresmic clan #Semaphore }}
&lt;br /&gt;
 
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
 
Error: 0.8996 cents&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Semaphore5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Semaphore9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Semaphore14]] – 14-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Bridgetown-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;Music&lt;/h2&gt;
== Kryptonite ==
&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow"&gt;Paint in the Water 29&lt;/a&gt; by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones"&gt;Igliashon Jones&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Kryptonite }}
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow"&gt;Route 14 in Bridgetown&lt;/a&gt; by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;Cata&lt;/h1&gt;
* [[Kryptonite9]] – 9-tone albitonic scale
Subgroup: 2.3.5.13&lt;br /&gt;
* [[Kryptonite10]] – 10-tone albitonic scale
Commas: 325/324, 625/624&lt;br /&gt;
* [[Kryptonite19]] – 19-tone mega-chromatic scale
Sval name: 15&amp;amp;19&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
== Oregon ==
&lt;br /&gt;
{{See also| Orgonia #Oregon }}
POTE generator: ~6/5 = 317.076&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
* [[Oregon7]] – 7-tone haplotonic scale
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333&lt;br /&gt;
* [[Oregon11]] – 11-tone albitonic scale
Error: 0.9355 cents&lt;br /&gt;
* [[Oregon15]] – 15-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextLocalImageRule:139:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.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/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:139 --&gt;&lt;br /&gt;
== Antikythera ==
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Jubilismic clan #Antikythera }}
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Tridec"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;Tridec&lt;/h1&gt;
* [[Antikythera6]] – 6-tone haplotonic scale
Subgroup: 2.7/5.11/5.13/5&lt;br /&gt;
* [[Antikythera10]] – 10-tone albitonic scale
Commas: 847/845, 1001/1000&lt;br /&gt;
* [[Antikythera16]] – 16-tone chromatic scale
Sval name: 5&amp;amp;8&lt;br /&gt;
 
&lt;br /&gt;
== Glacial ==
POTE generator: ~13/10 = 454.461&lt;br /&gt;
{{See also| Subgroup temperaments #Glacial }}
&lt;br /&gt;
 
Map: [&amp;lt;1 2 0 1|, &amp;lt;0 -4 3 1|]&lt;br /&gt;
Scales:  
EDOs: 5, 8, 21, 29, 37, 66, 169, 235&lt;br /&gt;
* [[Glacial6]] – 6-tone haplotonic scale
Error: 1.057&lt;br /&gt;
* [[Glacial7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Glacial13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Leantone ==
&lt;br /&gt;
{{See also| Hemimean clan #Leantone }}
&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;Pepperoni&lt;/h1&gt;
 
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
Commas: 352/351, 364/363&lt;br /&gt;
 
Sval name: 5&amp;amp;12&lt;br /&gt;
Scales:  
Related temperament: The &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Peppermint-24"&gt;Pepper fifth&lt;/a&gt;, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.&lt;br /&gt;
* [[Leantone6]] – 6-tone haplotonic scale
&lt;br /&gt;
* [[Leantone7]] – 7-tone albitonic scale
POTE generator: ~3/2 = 704.052&lt;br /&gt;
* [[Leantone13]] – 13-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
== Notes ==
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
 
Error: 1.298 cents&lt;br /&gt;
[[Category:Lists of scales]]
&lt;br /&gt;
[[Category:Tempered scales| ]]
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[Category:Listen]]
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
[[Category:Rank 2]]
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Slendric"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;Slendric&lt;/h1&gt;
{{todo|cleanup}}
Subgroup: 2.3.7&lt;br /&gt;
Comma: 1029/1024&lt;br /&gt;
Sval name: 5&amp;amp;21&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 233.688&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3|, &amp;lt;0 3 -1|]&lt;br /&gt;
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190&lt;br /&gt;
Error: 1.109 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:140:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.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/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:140 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Slendric-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;Music&lt;/h2&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow"&gt;The 11th Slendric Fanfare&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow"&gt;16 Slendric Virgins&lt;/a&gt;&lt;br /&gt;
by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:21:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:21 --&gt;Nestoria&lt;/h1&gt;
Subgroup: 2.3.5.19&lt;br /&gt;
Commas: 361/360, 513/512&lt;br /&gt;
Sval name: 12&amp;amp;29&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;
POTE generator: ~3/2 = 701.746&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 9|, &amp;lt;0 1 -8 -3|]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 118, 171&lt;br /&gt;
Error: 1.819 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:23:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:23 --&gt;Photia&lt;/h1&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;
POTE generator: ~3/2 = 701.470&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&lt;br /&gt;
Error: 3.457 cents&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:25:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:25 --&gt;Huntington&lt;/h1&gt;
Subgroup: 2.5.7.13&lt;br /&gt;
Commas: 640/637, 10985/10976&lt;br /&gt;
Sval name: 10&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~16/13 = 357.002&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 27, 37, 84, 121, 400&lt;br /&gt;
Error: 2.1001 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:27:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Shoe"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:27 --&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;
POTE generator: ~8/7 = 227.108&lt;br /&gt;
&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&lt;br /&gt;
Error: 2.488&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/shoe6"&gt;shoe6&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/shoe11"&gt;shoe11&lt;/a&gt; - eleven note 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/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;!-- ws:start:WikiTextHeadingRule:29:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:29 --&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/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~28/25 = 194.594&lt;br /&gt;
&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;
Error: 2.555 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:141:&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:141 --&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/roulette7"&gt;roulette7&lt;/a&gt; - seven 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/roulette13"&gt;roulette13&lt;/a&gt; - thirteen 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/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;!-- ws:start:WikiTextHeadingRule:31:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:31 --&gt;Garibaldi&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 225/224, 3125/3087&lt;br /&gt;
Val name: 12&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 702.085&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 25|, &amp;lt;0 1 -8 -14|]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 94&lt;br /&gt;
Error: 2.834&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;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;!-- ws:start:WikiTextHeadingRule:33:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:33 --&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;
POTE generator: ~9/8 = 204.090&lt;br /&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;&lt;br /&gt;
Error: 2.617 cents&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;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:35:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Bossier"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:35 --&gt;Bossier&lt;/h1&gt;
Subgroup: 2.7.11.13&lt;br /&gt;
Commas: 1573/1569, 15488/15379&lt;br /&gt;
Sval name: 3&amp;amp;17&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~14/11 = 421.309&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&lt;br /&gt;
Error: 2.665 cents&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:37:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:37 --&gt;Radon&lt;/h1&gt;
Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 896/891, 1029/1024&lt;br /&gt;
Sval name: 5&amp;amp;36&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 234.381&lt;br /&gt;
&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;
Error: 2.925 cents&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/radon11"&gt;Eleven note albitonic 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;!-- ws:start:WikiTextHeadingRule:39:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Myna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:39 --&gt;Myna&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 126/125, 1728/1715&lt;br /&gt;
Val name: 4&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 310.146&lt;br /&gt;
&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&lt;br /&gt;
Error: 3.310 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:41:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc20"&gt;&lt;a name="Silver"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:41 --&gt;Silver&lt;/h1&gt;
Subgroup: 2.5.7.13.17&lt;br /&gt;
Commas: 170/169, 640/637, 5525/5488&lt;br /&gt;
Sval name: 10&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/8 = 842.711&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 5 4 4 2|, &amp;lt;0 -9 -4 -1 7|]&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, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo"&gt;487&lt;/a&gt;&lt;br /&gt;
Error: 3.437&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="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;
&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;!-- ws:start:WikiTextHeadingRule:43:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Mabila"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:43 --&gt;Mabila&lt;/h1&gt;
Subgroup: 2.5.7&lt;br /&gt;
Comma: 1071875/1048576&lt;br /&gt;
Sval name: 7&amp;amp;9&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~175/128 = 527.236&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 5|, &amp;lt;0 3 -5|]&lt;br /&gt;
EDOs: 7, 9, 16, 25, 41, 66&lt;br /&gt;
Error: 3.560&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="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/mabila16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:45:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:45 --&gt;Meantone&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 81/80, 126/125&lt;br /&gt;
Val name: 12&amp;amp;19&lt;br /&gt;
&lt;br /&gt;
POTE generator: 696.495&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13|, &amp;lt;0 1 4 10|]&lt;br /&gt;
EDOs: 5, 7, 12, 19, 31, 81, 112, 143&lt;br /&gt;
Error: 3.585&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:47:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Indium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:47 --&gt;Indium&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Commas: 3025/3024, 3125/3087&lt;br /&gt;
Sval name: 8&amp;amp;33&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 147.159&lt;br /&gt;
&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;
Error: 3.968 cents&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/indium17"&gt;Seventeen note chromatic scale&lt;/a&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="Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:49 --&gt;Magic&lt;/h1&gt;
Group: 2.3.5.7.11&lt;br /&gt;
Commas: 100/99, 225/224, 245/243&lt;br /&gt;
Val name: 19&amp;amp;22&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~5/4 = 380.696&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&lt;br /&gt;
EDOs: 19, 22, 41, 104, 145&lt;br /&gt;
Error: 4.489&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:142:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:142 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16"&gt;Sixteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:51:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:51 --&gt;Hemif&lt;/h1&gt;
Subgroup: 2.3.7.11.13&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;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/9 = 351.691&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
Error: 4.867 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:53:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:53 --&gt;Skwares&lt;/h1&gt;
Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 99/98, 243/242&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 425.244&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206&lt;br /&gt;
Error: 4.942 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:55:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc27"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:55 --&gt;Sensi&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 126/126, 245/243&lt;br /&gt;
Val name: 19&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 443.383&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11|, &amp;lt;0 -7 -9 -13|]&lt;br /&gt;
EDOs: 5, 8, 11, 19, 27, 46&lt;br /&gt;
Error: 5.019&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:143:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:143 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19"&gt;Nineteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:57:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:57 --&gt;Greeley&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Commas: 121/120, 126/125&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/10 = 156.055&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
EDOs: 8, 15, 23, 77, 100&lt;br /&gt;
Error: 5.404 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:59:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc29"&gt;&lt;a name="Greeley-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:59 --&gt;Music&lt;/h2&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow"&gt;A Greeley Steals Halloween&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; in Greeley 15&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:61:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc30"&gt;&lt;a name="Semidim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:61 --&gt;Semidim&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11/3.13/3&lt;br /&gt;
Commas: 121/120, 169/168, 275/273&lt;br /&gt;
Sval name: 8&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/10 = 453.190&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 5 3 4|, &amp;lt;0 -6 -10 -3 -5|]&lt;br /&gt;
EDOs: 5, 8, 13, 21, 29, 37, 45&lt;br /&gt;
Error: 5.433 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13"&gt;Thirteen note chromatic scale&lt;/a&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="Orwell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:63 --&gt;Orwell&lt;/h1&gt;
Group: 2.3.5.7.11&lt;br /&gt;
Commas: 99/98, 121/120, 176/175&lt;br /&gt;
Val name: 9&amp;amp;22&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~7/6 = 271.426&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 3 1 3|, &amp;lt;0 7 -3 8 2|]&lt;br /&gt;
EDOs: 9, 22, 31, 53, 84&lt;br /&gt;
Error: 5.584&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:65:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Bleu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:65 --&gt;Bleu&lt;/h1&gt;
Group: 2.3.7.11.13&lt;br /&gt;
Commas: 78/77, 99/98, 144/143&lt;br /&gt;
Sval name: 9&amp;amp;17&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/12 = 139.990&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 3 3|, &amp;lt;0 5 7 4 6|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/9edo"&gt;9&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo"&gt;43&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo"&gt;60&lt;/a&gt;&lt;br /&gt;
Error: 6.361&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8"&gt;bleu8&lt;/a&gt; - Eight note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu9"&gt;bleu9&lt;/a&gt; - Nine note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu17"&gt;bleu17&lt;/a&gt; - Seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:67:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:67 --&gt;Mohaha&lt;/h1&gt;
Subgroup: 2.3.5.11&lt;br /&gt;
Commas: 81/80, 121/120&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/9 = 348.094&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
EDOs: 7, 10, 17, 24, 31, 131&lt;br /&gt;
Error: 6.733 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:69:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc34"&gt;&lt;a name="Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:69 --&gt;Mohoho&lt;/h2&gt;
Subgroup: 2.3.5.11.13&lt;br /&gt;
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/9 = 348.916&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 24, 31, 55&lt;br /&gt;
Error: 9.556 cents&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="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:71 --&gt;Tutone&lt;/h1&gt;
Subgroup: 2.9.5.7.11&lt;br /&gt;
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 193.937&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 31, 99&lt;br /&gt;
Error: 7.047 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:73:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc36"&gt;&lt;a name="Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:73 --&gt;Leantone&lt;/h1&gt;
Subgroup: 2.9.5.7.11&lt;br /&gt;
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;flattone&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 192.500&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 -6|, &amp;lt;0 1 2 5 3|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 31, 56, 81&lt;br /&gt;
Error: 20.338 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13"&gt;Thirteen note chromatic scale&lt;/a&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="Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:75 --&gt;Score&lt;/h1&gt;
Subgroup: 2.7.11.13&lt;br /&gt;
Commas: 343/338, 847/832&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 540.099&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 1|, &amp;lt;0 4 1 6|]&lt;br /&gt;
EDOs: 5, 7, 9, 11, 20&lt;br /&gt;
Error: 8.052 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:144:&amp;lt;img src=&amp;quot;/file/view/score_20edo.jpg/270826026/score_20edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="score_20edo.jpg" title="score_20edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:144 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/score7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/score9"&gt;Nine note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/score11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:77:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc38"&gt;&lt;a name="Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:77 --&gt;Supra&lt;/h1&gt;
Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 64/63, 99/98&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth"&gt;suprapyth&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 707.192&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
EDOs: 5, 7, 12, 17, 22, 39, 56&lt;br /&gt;
Error: 9.795 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:79:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc39"&gt;&lt;a name="Supra-Supraphon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:79 --&gt;Supraphon&lt;/h2&gt;
Subgroup: 2.3.7.11.13&lt;br /&gt;
Commas: 64/63, 78/77, 99/98&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 706.137&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 6 13 18|, &amp;lt;0 1 -2 -6 -9|]&lt;br /&gt;
EDOs: 5, 7, 12, 17&lt;br /&gt;
Error: 10.534 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:81:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc40"&gt;&lt;a name="Supra-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:81 --&gt;Machine&lt;/h2&gt;
Subgroup: 2.9.7.11&lt;br /&gt;
Commas: 64/63, 99/98&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 214.384&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -1 -3|]&lt;br /&gt;
EDOs: 5, 6, 11, 17, 28&lt;br /&gt;
Error: 10.100 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine6"&gt;Six note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:83:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc41"&gt;&lt;a name="Antikythera"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:83 --&gt;Antikythera&lt;/h1&gt;
Subgroup: 2.9.5.7&lt;br /&gt;
Commas: 50/49, 64/63&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara"&gt;pajara&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 214.095&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 11 12|, &amp;lt;0 1 -1 -1|]&lt;br /&gt;
EDOS: 4, 6, 10, 16, 22, 28&lt;br /&gt;
Error: 11.508 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:85:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc42"&gt;&lt;a name="Deutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:85 --&gt;Deutone&lt;/h1&gt;
Subgroup: 2.9.5.7.13&lt;br /&gt;
Commas: 65/64, 81/80, 91/90&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;meanpop&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 191.059&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 10|, &amp;lt;0 1 2 5 -2|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 44, 69&lt;br /&gt;
Error: 12.145 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone7"&gt;seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:87:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc43"&gt;&lt;a name="Semiphore"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:87 --&gt;Semiphore&lt;/h1&gt;
Subgroup: 2.3.7&lt;br /&gt;
Comma: 49/48&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~7/6 = 250.385&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2|, &amp;lt;0 2 1|]&lt;br /&gt;
EDOs: 5, 9, 14, 19, 24&lt;br /&gt;
Error: 12.428&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:89:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc44"&gt;&lt;a name="Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:89 --&gt;Augment&lt;/h1&gt;
Subgroup: 2.5.7.11&lt;br /&gt;
Commas: 56/55, 128/125&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Augmented%20family"&gt;augmented&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 228.275&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;3 7 0 2|, &amp;lt;0 0 1 1|]&lt;br /&gt;
EDOs: 3, 6, 9, 15, 21&lt;br /&gt;
Error: 12.830 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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