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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>
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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 }}


[[image:orgone_308edo.jpg]]
Scales:
* [[Barton5]] – 5-tone haplotonic scale
* [[Barton7]] – 7-tone albitonic scale
* [[Barton9]] – 9-tone mega-albitonic scale
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


[[xenharmonic/orgone7|Seven note albitonic scale]]
== Tridec ==
[[xenharmonic/orgone11|Eleven note chromatic scale]]
{{See also| Subgroup temperaments #Tridec }}
[[xenharmonic/orgone15|Fifteen note mega chromatic scale]]


=Bridgetown=
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
Subgroup: 2.3.11/5.13/5
Commas: 352/351, 676/675
Sval name: 5&amp;24
Related temperament: [[xenharmonic/The Archipelago|barabados]]


POTE generator: ~15/13 = 248.285
Scales:  
* [[Tridec8]] – 8-tone albitonic scale
* [[Tridec13]] – 13-tone chromatic scale


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
== Nestoria ==
EDOs: 5, 9, 14, 19, 24, 29
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
Error: 0.8996 cents


[[xenharmonic/bridgetown9|Nine note albitonic scale]]
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]
[[xenharmonic/bridgetown14|Fourteen note chromatic scale]]


==Music==
Scales:
[[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]]
* [[Nestoria7]] – 7-tone albitonic scale
[[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]] by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


=Cata=  
== Orgone ==
Subgroup: 2.3.5.13
{{Main| Orgone }}
Commas: 325/324, 625/624
{{See also| Orgonia #Orgone }}
Sval name: 15&amp;19
Related temperament: [[xenharmonic/Kleismic family|catakleismic]]


POTE generator: ~6/5 = 317.076
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
Scales:  
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333
* [[Orgone7]] – 7-tone albitonic scale
Error: 0.9355 cents
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


[[image:xenharmonic/cata_246edo2.jpg]]
== Marveltwintri ==
[[xenharmonic/cata7|Seven note albitonic scale]]
{{See also| Subgroup temperaments #Marveltwintri }}
[[xenharmonic/cata11|Eleven note mega albitonic scale]]
[[xenharmonic/cata15|Fifteen note chromatic scale]]
[[xenharmonic/cata19|Nineteen note mega chromatic scale]]


=Tridec=
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
Subgroup: 2.7/5.11/5.13/5
Commas: 847/845, 1001/1000
Sval name: 5&amp;8


POTE generator: ~13/10 = 454.461
Scales:  
* [[Marveltwintri7]] – 7-tone albitonic scale
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]
== Cata ==
EDOs: 5, 8, 21, 29, 37, 66, 169, 235
{{Main| Kleismic }}
Error: 1.057
{{See also| Kleismic family #Cata }}


[[xenharmonic/Tridec8|Eight note albitonic scale]]
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
[[xenharmonic/Tridec13|Thirteen note chromatic scale]]


=Pepperoni=
Scales:
Subgroup: 2.3.11/7.13/7
* [[Cata7]] – 7-tone albitonic scale
Commas: 352/351, 364/363
* [[Cata11]] – 11-tone mega-albitonic scale
Sval name: 5&amp;12
* [[Cata15]] – 15-tone chromatic scale
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.
* [[Cata19]] – 19-tone mega-chromatic scale


POTE generator: ~3/2 = 704.052
== Bridgetown ==
{{See also| Subgroup temperaments #Bridgetown }}


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
Error: 1.298 cents


[[xenharmonic/pepperoni7|Seven note albitonic scale]]
Scales:
[[xenharmonic/pepperoni12|Twelve note chromatic scale]]
* [[Bridgetown9]] – 9-tone albitonic scale
* [[Bridgetown14]] – 14-tone chromatic scale


=Slendric=
; Music
Subgroup: 2.3.7
* [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]]
Comma: 1029/1024
* ''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
Sval name: 5&amp;21


POTE generator: ~8/7 = 233.688
== Haumea ==
{{See also| Subgroup temperaments #Haumea }}


Map: [&lt;1 1 3|, &lt;0 3 -1|]
Scales:  
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
* [[Haumea5]] – 5-tone haplotonic scale
Error: 1.109 cents
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


[[image:xenharmonic/slendric_190edo.jpg]]
== Neutral ==
{{See also| Rastmic clan #Neutral }}


[[xenharmonic/slendric5|Five note haplotonic scale]]
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
[[xenharmonic/slendric6|Six note haplotonic scale]]
[[xenharmonic/slendric11|Eleven note albitonic scale]]
[[xenharmonic/slendric16|Sixteen note chromatic scale]]


==Music==
Scales:
[[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]
* [[Neutral7]] – 7-tone albitonic scale
[[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]
* [[Neutral10]] – 10-tone chromatic scale
by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
* [[Neutral17]] – 17-tone mega-chromatic scale


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


POTE generator: ~3/2 = 701.746
== Slendric ==
{{Main| Slendric }}
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
Error: 1.819 cents


[[xenharmonic/nestoria7|Seven note albitonic scale]]
Scales:
[[xenharmonic/nestoria12|Twelve note chromatic scale]]
* [[Slendric5]] – 5-tone haplotonic scale
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


=Photia=  
== Huntington ==
Subgroup: 2.3.5.17.19
{{See also| No-threes subgroup temperaments #Huntington }}
Commas: 171/170, 256/255, 324/323
Sval name: 12&amp;41
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.470
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 65
* [[Huntington7]] – 7-tone haplotonic scale
Error: 3.457 cents
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


[[xenharmonic/photia7|Seven note albitonic scale]]
== Tobago ==
[[xenharmonic/photia12|Twelve note chromatic scale]]
{{See also| Subgroup temperaments #Tobago }}


=Huntington=
Scales:  
Subgroup: 2.5.7.13
* [[Tobago6]] – 6-tone haplotonic scale
Commas: 640/637, 10985/10976
* [[Tobago10]] – 10-tone albitonic scale
Sval name: 10&amp;27
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


POTE generator: ~16/13 = 357.002
== Pepperoni ==
{{See also| Parapyth }}
{{See also| Subgroup temperaments #Pepperoni }}


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
Error: 2.1001 cents


[[image:huntington_400edo.jpg]]
Scales:
* [[Pepperoni7]] – 7-tone albitonic scale
* [[Pepperoni12]] – 12-tone chromatic scale


[[xenharmonic/huntington7|Seven note haplotonic scale]]
== Wizz ==
[[xenharmonic/huntington10|Ten note albitonic scale]]
{{See also| No-threes subgroup temperaments #Wizz }}
[[xenharmonic/huntington17|Seventeen note chromatic scale]]


=Shoe=
Scales:
Subgroup: 2.5.7.11.13
* [[Wizz6]] – 6-tone haplotonic scale
Commas: 176/175, 640/637, 847/845
* [[Wizz10]] – 10-tone albitonic scale
Sval name: 16&amp;21
* [[Wizz16]] – 16-tone chromatic scale


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


Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
EDOs: 16, 21, 37
Error: 2.488


[[image:xenharmonic/shoe_37edo.jpg]]
Scales:
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


[[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
== Penta a.k.a. mechanism ==
[[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}
[[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]


=Roulette=
Scales:
Subgroup: 2.5.7.11.13
* [[Penta5]] – 5-tone haplotonic scale
Commas: 176/175, 1375/1372, 640/637
* [[Penta8]] – 8-tone albitonic scale
Sval name: 6&amp;25
* [[Penta11]] – 11-tone chromatic scale
Related temperament: [[xenharmonic/Wuerschmidt family|Hemiwuerschmidt]]
* [[Penta19]] – 19-tone mega-chromatic scale


POTE generator: ~28/25 = 194.594
== Bluebirds ==
{{See also| No-threes subgroup temperaments #Bluebirds }}


Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 37
* [[Bluebirds6]] – 6-tone haplotonic scale
Error: 2.555 cents
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


[[image:xenharmonic/roulette_37edo.jpg]]
== Marveltri ==
{{See also| Subgroup temperaments #Marveltri }}


[[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Marveltri7]] – 7-tone albitonic scale
[[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Marveltri10]] – 10-tone chromatic scale
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]
* [[Marveltri13]] – 13-tone mega-chromatic scale


=Garibaldi=  
== Edson ==
Group: 2.3.5.7
{{See also| Subgroup temperaments #Edson }}
Commas: 225/224, 3125/3087
Val name: 12&amp;29


POTE generator: ~3/2 = 702.085
Scales:  
* [[Edson5]] – 5-tone haplotonic scale
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
== Photia ==
EDOs: 7, 12, 17, 29, 41, 53, 94
{{See also| Schismatic family #Photia (2.3.5.17) }}
Error: 2.834


[[xenharmonic/garibaldi12|Twelve note albitonic scale]]
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
[[xenharmonic/garibaldi17|Seventeen note chromatic scale]]


=Baldy=
Scales:
Subgroup: 2.9.5.7.13
* [[Photia7]] – 7-tone albitonic scale
Commas: 225/224, 325/324, 640/637
* [[Photia12]] – 12-tone chromatic scale
Sval name: 6&amp;35
Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]


POTE generator: ~9/8 = 204.090
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]]
Error: 2.617 cents


[[image:baldy_147edo.jpg]]
Scales:
* [[Shoe5]] – 5-tone mini-haplotonic scale
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


[[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
== Roulette ==
[[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
{{See also | Hemimean clan #Roulette }}
[[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]


=Bossier=
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
Subgroup: 2.7.11.13
Commas: 1573/1569, 15488/15379
Sval name: 3&amp;17


POTE generator: ~14/11 = 421.309
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 0 1 3|, &lt;0 8 7 2|]
== Silver ==
EDOs: 17, 20, 37, 57, 94, 225
{{See also | No-threes subgroup temperaments #Silver }}
Error: 2.665 cents


[[image:bossier_225edo.jpg]]
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]


[[xenharmonic/bossier8|Eight note albitonic scale]]
Scales:
[[xenharmonic/bossier11|Eleven note chromatic scale]]
* [[Silver7]] – 7-tone haplotonic scale
[[xenharmonic/bossier14|Fourteen note mega chromatic scale]]
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


=Radon=  
== Baldy ==
Subgroup: 2.3.7.11
{{See also| Subgroup temperaments #Baldy }}
Commas: 896/891, 1029/1024
Sval name: 5&amp;36
Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]


POTE generator: ~8/7 = 234.381
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
Scales
EDOs: 5, 36, 41, 87, 128
* [[Baldy6]] – 6-tone haplotonic scale
Error: 2.925 cents
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


[[image:radon_128edo.jpg]]


[[xenharmonic/radon5|Five note haplotonic scale]]
== Guanyintet ==
[[xenharmonic/radon11|Eleven note albitonic scale]]
{{See also | Subgroup temperaments #Guanyintet }}
[[xenharmonic/radon16|Sixteen note chromatic scale]]


=Myna=
Scales:
Group: 2.3.5.7
* [[Guanyintet5]] – 5-tone haplotonic scale
Commas: 126/125, 1728/1715
* [[Guanyintet9]] – 9-tone albitonic scale
Val name: 4&amp;27
* [[Guanyintet13]] – 13-tone chromatic scale


POTE generator: ~6/5 = 310.146
== Radon ==
{{See also| Gamelismic clan #Radon }}


Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
EDOs: 4, 27, 31, 58, 89
Error: 3.310 cents


[[image:myna_89edo.jpg]]
* [[Radon5]] – 5-tone haplotonic scale
* [[Radon11]] – 11-tone albitonic scale
* [[Radon16]] – 16-tone chromatic scale


[[xenharmonic/myna7|Seven note haplotonic scale]]
== Gariberttet ==
[[xenharmonic/myna11|Eleven note albitonic scale]]
{{See also | Subgroup temperaments #Gariberttet }}
[[xenharmonic/myna15|Fifteen note chromatic scale]]


=Silver=
Scales:
Subgroup: 2.5.7.13.17
* [[Gariberttet5]] – 5-tone haplotonic scale
Commas: 170/169, 640/637, 5525/5488
* [[Gariberttet9]] – 9-tone albitonic scale
Sval name: 10&amp;27
* [[Gariberttet13]] – 13-tone chromatic scale


POTE generator: ~13/8 = 842.711
== Namo ==
{{See also| Rastmic clan #Namo }}


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]]
* [[Namo7]] – 7-tone haplotonic scale
Error: 3.437
* [[Namo10]] – 10-tone albitonic scale
* [[Namo17]] – 17-tone chromatic scale


[[image:silver_487edo.jpg]]
== Sentry ==
{{See also | Subgroup temperaments #Sentry }}


[[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Sentry5]] – 5-tone haplotonic scale
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Sentry8]] – 8-tone albitonic scale
* [[Sentry11]] – 11-tone chromatic scale


=Mabila=  
== Hemif ==
Subgroup: 2.5.7
{{See also| No-fives subgroup temperaments #Hemif }}
Comma: 1071875/1048576
Sval name: 7&amp;9


POTE generator: ~175/128 = 527.236
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]


Map: [&lt;1 1 5|, &lt;0 3 -5|]
Scales:  
EDOs: 7, 9, 16, 25, 41, 66
* [[Hemif7]] – 7-tone haplotonic scale
Error: 3.560
* [[Hemif10]] – 10-tone albitonic scale
* [[Hemif17]] – 17-tone chromatic scale


[[xenharmonic/mabila7|Seven note haplotonic scale]]
== Garibaldi ==
[[xenharmonic/mabila9|Nine note albitonic scale]]
{{Main| Garibaldi temperament }}
[[xenharmonic/mabila16|Sixteen note chromatic scale]]
{{See also| Schismatic family #Garibaldi }}


=Meantone=
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
Group: 2.3.5.7
Commas: 81/80, 126/125
Val name: 12&amp;19


POTE generator: 696.495
Scales:  
* [[Garibaldi12]] – 12-tone albitonic scale
* [[Garibaldi17]] – 17-tone chromatic scale


Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
== Mabilic ==
EDOs: 5, 7, 12, 19, 31, 81, 112, 143
{{See also| No-threes subgroup temperaments #Mabilic }}
Error: 3.585


[[xenharmonic/meantone5|Five note haplotonic scale]]
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
[[xenharmonic/meantone7|Seven note albitonic scale]]
[[xenharmonic/meantone12|Twelve note chromatic scale]]


=Indium=
Scales:
Subgroup: 2.5/3.7/3.11/3
* [[Mabilic7]] – 7-tone haplotonic scale
Commas: 3025/3024, 3125/3087
* [[Mabilic9]] – 9-tone albitonic scale
Sval name: 8&amp;33
* [[Mabilic16]] – 16-tone chromatic scale


POTE generator: ~12/11 = 147.159
== Indium ==
{{See also | Subgroup temperaments #Indium }}


Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
EDOs: 33, 41, 49, 57, 106, 204, 253
Error: 3.968 cents


[[xenharmonic/indium8|Eight note albitonic scale]]
Scales:
[[xenharmonic/indium17|Seventeen note chromatic scale]]
* [[Indium8]] – 8-tone albitonic scale
* [[Indium17]] – 17-tone chromatic scale


Music
; Music
[[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]] (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] =&gt; [[@http://chrisvaisvil.com/?p=1532|details]]
* ''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]


=Magic=  
== Starlingtet ==
Group: 2.3.5.7.11
{{See also | Subgroup temperaments #Starlingtet }}
Commas: 100/99, 225/224, 245/243
Val name: 19&amp;22


POTE generator: ~5/4 = 380.696
Scales:  
* [[Starlingtet4]] – 4-tone haplotonic scale
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale


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


[[image:xenharmonic/magic_145edo.jpg]]
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]


[[xenharmonic/magic7|Seven note haplotonic scale]]
Scales:
[[xenharmonic/magic10|Ten note albitonic scale]]
* [[Lovecraft5]] – 5-tone haplotonic scale
[[xenharmonic/magic13|Thirteen note chromatic scale]]
* [[Lovecraft9]] – 9-tone albitonic scale
[[xenharmonic/magic16|Sixteen note mega chromatic scale]]
* [[Lovecraft13]] – 13-tone chromatic scale


=Hemif=  
== Blackbirds ==
Subgroup: 2.3.7.11.13
{{See also | No-threes subgroup temperaments #Blackbirds }}
Commas: 144/143, 243/242, 364/363
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]


POTE generator: ~11/9 = 351.691
Scales:  
* [[Blackbirds8]] – 8-tone albitonic scale
* [[Blackbirds12]] – 12-tone chromatic scale
* [[Blackbirds16]] – 16-tone mega-chromatic scale


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
== Laz ==
EDOs: 7, 10, 17, 24, 41, 58
{{See also | Subgroup temperaments #Laz }}
Error: 4.867 cents


[[xenharmonic/hemif7|Seven note haplotonic scale]]
Scales:
[[xenharmonic/hemif10|Ten note albitonic scale]]
* [[Laz5]] – 5-tone haplotonic scale
[[xenharmonic/hemif17|Seventeen note chromatic scale]]
* [[Laz9]] – 9-tone albitonic scale
* [[Laz13]] – 13-tone chromatic scale


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


POTE generator: ~9/7 = 425.244
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
Scales:  
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
* [[Myna7]] – 7-tone haplotonic scale
Error: 4.942 cents
* [[Myna11]] – 11-tone albitonic scale
* [[Myna15]] – 15-tone chromatic scale


[[xenharmonic/skwares8|Eight note albitonic scale]]
== Greeley ==
[[xenharmonic/skwares11|Eleven note mega albitonic scale]]
{{See also| Subgroup temperaments #Greeley }}
[[xenharmonic/skwares14|Fourteen note chromatic scale]]


=Sensi=
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
Group: 2.3.5.7
Commas: 126/126, 245/243
Val name: 19&amp;27


POTE generator: ~9/7 = 443.383
Scales:  
* [[Greeley8]] – 8-tone albitonic scale
* [[Greeley15]] – 15-tone chromatic scale


Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
; Music
EDOs: 5, 8, 11, 19, 27, 46
* ''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]
Error: 5.019


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


[[xenharmonic/sensi5|Five note haplotonic scale]]
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
[[xenharmonic/sensi8|Eight note albitonic scale]]
[[xenharmonic/sensi11|Eleven note mega albitonic scale]]
[[xenharmonic/sensi19|Nineteen note chromatic scale]]


=Greeley=
Scales:
Subgroup: 2.5/3.7/3.11/3
* [[Ammon8]] – 8-tone albitonic scale
Commas: 121/120, 126/125
* [[Ammon13]] – 13-tone chromatic scale


POTE generator: ~11/10 = 156.055
== Mothwelltri ==
{{See also| Subgroup temperaments #Mothwelltri }}


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
Scales:  
EDOs: 8, 15, 23, 77, 100
* [[Mothwelltri5]] – 5-tone haplotonic scale
Error: 5.404 cents
* [[Mothwelltri9]] – 9-tone albitonic scale
* [[Mothwelltri13]] – 13-tone chromatic scale


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


==Music==
Scales:
[[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
* [[Sulis7]] – 7-tone haplotonic scale
* [[Sulis10]] – 10-tone albitonic scale
* [[Sulis13]] – 13-tone chromatic scale


=Semidim=  
== Skwares ==
Subgroup: 2.5/3.7/3.11/3.13/3
{{Main| Squares }}
Commas: 121/120, 169/168, 275/273
{{See also| No-fives subgroup temperaments #Skwares }}
Sval name: 8&amp;29


POTE generator: ~13/10 = 453.190
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]


Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
Scales:  
EDOs: 5, 8, 13, 21, 29, 37, 45
* [[Skwares8]] – 8-tone albitonic scale
Error: 5.433 cents
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale


[[xenharmonic/semidim8|Eight note albitonic scale]]
== Orwell ==
[[xenharmonic/semidim13|Thirteen note chromatic scale]]
{{Main| Orwell }}
{{See also| Semicomma family #Orwell }}


=Orwell=
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
Group: 2.3.5.7.11
Commas: 99/98, 121/120, 176/175
Val name: 9&amp;22


POTE generator: ~7/6 = 271.426
Scales:  
* [[Orwell5]] – 5-tone haplotonic scale
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone chromatic scale


Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
== Magicaltet ==
EDOs: 9, 22, 31, 53, 84
{{See also| Subgroup temperaments #Magicaltet }}
Error: 5.584


[[xenharmonic/orwell5|Five note haplotonic scale]]
Scales:
[[xenharmonic/orwell9|Nine note albitonic scale]]
* [[Magicaltet7]] – 7-tone albitonic scale
[[xenharmonic/orwell13|Thirteen note chromatic scale]]
* [[Magicaltet11]] – 11-tone chromatic scale
* [[Magicaltet15]] – 15-tone mega-chromatic scale


=Bleu=  
== Magic ==
Group: 2.3.7.11.13
{{Main| Magic }}
Commas: 78/77, 99/98, 144/143
{{See also| Magic family #Magic }}
Sval name: 9&amp;17


POTE generator: ~13/12 = 139.990
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]


Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
Scales:  
EDOs: [[xenharmonic/9edo|9]], [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60]]
* [[Magic7]] – 7-tone haplotonic scale
Error: 6.361
* [[Magic10]] – 10-tone albitonic scale
* [[Magic13]] – 13-tone chromatic scale
* [[Magic16]] – 16-tone mega-chromatic scale


[[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
== Kiribati ==
[[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
{{See also| Subgroup temperaments #Kiribati }}
[[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]


=Mohaha=
Scales:  
Subgroup: 2.3.5.11
* [[Kiribati13]] – 13-tone chromatic scale
Commas: 81/80, 121/120
* [[Kiribati14]] – 14-tone chromatic scale
Related temperament: [[xenharmonic/Meantone family|mohajira]]


POTE generator: ~11/9 = 348.094
== Score ==
{{See also|No-threes subgroup temperaments #Score }}


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
EDOs: 7, 10, 17, 24, 31, 131
Error: 6.733 cents


[[xenharmonic/mohaha7|Seven note albitonic scale]]
Scales:
[[xenharmonic/mohaha10|Ten note chromatic scale]]
* [[Score5]] – 5-tone haplotonic scale
* [[Score7]] – 7-tone albitonic scale
* [[Score9]] – 9-tone mega-albitonic scale
* [[Score11]] – 11-tone chromatic scale


==Mohoho==  
== Sensi ==
Subgroup: 2.3.5.11.13
{{Main| Sensi }}
Commas: 66/65, 81/80, 121/120
{{See also| Sensipent family #Sensi }}


POTE generator: ~11/9 = 348.916
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]


Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
Scales:  
EDOs: 7, 10, 17, 24, 31, 55
* [[Sensi5]] – 5-tone haplotonic scale
Error: 9.556 cents
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


=Tutone=  
=== Sensation ===
Subgroup: 2.9.5.7.11
{{Main| Sensi }}
Commas: 81/80, 99/98, 126/125
{{See also| Sensipent family #Sensi }}
Related temperament: [[xenharmonic/Meantone family|meantone]]


POTE generator: ~9/8 = 193.937
Scales:  
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
== Meantone ==
EDOs: 6, 7, 13, 19, 25, 31, 99
{{Main| Meantone }}
Error: 7.047 cents
{{See also| Meantone family #Meantone }}


[[xenharmonic/tutone6|Six note haplotonic scale]]
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
[[xenharmonic/tutone7|Seven note albitonic scale]]
[[xenharmonic/tutone13|Thirteen note chromatic scale]]


=Leantone=
Scales:
Subgroup: 2.9.5.7.11
* [[Meantone5]] – 5-tone haplotonic scale
Commas: 45/44, 56/55, 81/80
* [[Meantone7]] – 7-tone albitonic scale
Related temperament: [[meanenneadecal]]
* [[Meantone12]] – 12-tone chromatic scale


POTE generator: ~9/8 = 192.500
== Mohaha ==
{{See also| Rastmic clan #Mohaha }}


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
Error: 20.338 cents


[[xenharmonic/leantone6|Six note haplotonic scale]]
Scales:
[[xenharmonic/leantone7|Seven note albitonic scale]]
* [[Mohaha7]] – 7-tone albitonic scale
[[xenharmonic/leantone13|Thirteen note chromatic scale]]
* [[Mohaha10]] – 10-tone chromatic scale


=Score=
Music:
Subgroup: 2.7.11.13
; [[Billy Stiltner]]
Commas: 343/338, 847/832
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}


POTE generator: ~11/8 = 540.099
=== Mohoho ===
{{See also| Rastmic clan #Mohoho }}


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
== Joan ==
EDOs: 5, 7, 9, 11, 20
{{See also| Subgroup temperaments #Joan }}
Error: 8.052 cents


[[image:xenharmonic/score_20edo.jpg]]
Scales:
* [[Joan5]] – 5-tone haplotonic scale
* [[Joan7]] – 7-tone albitonic scale
* [[Joan9]] – 9-tone mega-albitonic scale
* [[Joan11]] – 11-tone chromatic scale


[[xenharmonic/score5|Five note haplotonic scale]]
== Tutone ==
[[xenharmonic/score7|Seven note albitonic scale]]
{{See also| Hemimean clan #Tutone }}
[[xenharmonic/score9|Nine note mega albitonic scale]]
[[xenharmonic/score11|Eleven note chromatic scale]]


=Supra=
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[xenharmonic/suprapyth|suprapyth]]


POTE generator: ~3/2 = 707.192
Scales:  
* [[Tutone6]] – 6-tone haplotonic scale
* [[Tutone7]] – 7-tone albitonic scale
* [[Tutone13]] – 13-tone chromatic scale


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
== Stacks ==
EDOs: 5, 7, 12, 17, 22, 39, 56
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
Error: 9.795 cents


[[xenharmonic/supra7|Seven note albitonic scale]]
Scales:
[[xenharmonic/supra12|Twelve note chromatic scale]]
* [[Stacks5]] – 5-tone haplotonic scale
* [[Stacks8]] – 8-tone albitonic scale
* [[Stacks11]] – 11-tone chromatic scale
* [[Stacks19]] – 19-tone mega-chromatic scale


==Supraphon==  
== Bleu ==
Subgroup: 2.3.7.11.13
{{See also| No-fives subgroup temperaments #Bleu }}
Commas: 64/63, 78/77, 99/98


POTE generator: ~3/2 = 706.137
Scales:  
* [[Bleu8]] – 8-tone haplotonic scale
* [[Bleu9]] – 9-tone albitonic scale
* [[Bleu17]] – 17-tone chromatic scale


Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
== Sephiroth ==
EDOs: 5, 7, 12, 17
{{See also| No-threes subgroup temperaments #Sephiroth }}
Error: 10.534 cents


==Machine==
Scales:
Subgroup: 2.9.7.11
* [[Sephiroth7]] – 7-tone haplotonic scale
Commas: 64/63, 99/98
* [[Sephiroth10]] – 10-tone albitonic scale
* [[Sephiroth13]] – 13-tone chromatic scale
* [[Sephiroth16]] – 16-tone mega-chromatic scale


POTE generator: ~9/8 = 214.384
== Archy ==
{{Main| Superpyth }}
{{See also| Archytas clan #Archy }}


Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
Scales:  
EDOs: 5, 6, 11, 17, 28
* [[Archy5]] – 5-tone haplotonic scale
Error: 10.100 cents
* [[Archy7]] – 7-tone albitonic scale
* [[Archy12]] – 12-tone chromatic scale


[[xenharmonic/machine5|Five note haplotonic scale]]
=== Supra ===
[[xenharmonic/machine6|Six note albitonic scale]]
{{Main| Superpyth }}
[[xenharmonic/machine11|Eleven note chromatic scale]]
{{See also| Archytas clan #Supra }}


=Antikythera=
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]
Subgroup: 2.9.5.7
Commas: 50/49, 64/63
Related temperament: [[xenharmonic/pajara|pajara]]


POTE generator: ~8/7 = 214.095
Scales:  
* [[Supra7]] – 7-tone [[albitonic scale]]
* [[Supra12]] – 12-tone [[chromatic scale]]


Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
=== Supraphon ===
EDOS: 4, 6, 10, 16, 22, 28
{{Main| Superpyth }}
Error: 11.508 cents
{{See also| Archytas clan #Supraphon }}


[[xenharmonic/antikythera6|Six note haplotonic scale]]
== Suhajira ==
[[xenharmonic/antikythera10|Ten note albitonic scale]]
{{See also| Archytas clan #Suhajira }}
[[xenharmonic/antikythera16|Sixteen note chromatic scale]]


=Deutone=
Scales:
Subgroup: 2.9.5.7.13
* [[Suhajira7]] – 7-tone haplotonic scale
Commas: 65/64, 81/80, 91/90
* [[Suhajira10]] – 10-tone albitonic scale
Related temperament: [[xenharmonic/Meantone family|meanpop]]
* [[Suhajira17]] – 17-tone chromatic scale


POTE generator: ~9/8 = 191.059
== Machine ==
{{See also| Subgroup temperaments #Machine}}


Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
EDOs: 6, 7, 13, 19, 25, 44, 69
Error: 12.145 cents


[[xenharmonic/deutone6|Six note haplotonic scale]]
Scales:
[[xenharmonic/deutone7|seven note albitonic scale]]
* [[Machine5]] – 5-tone haplotonic scale
[[xenharmonic/deutone13|Thirteen note chromatic scale]]
* [[Machine6]] – 6-tone albitonic scale
* [[Machine11]] – 11-tone chromatic scale


=Semiphore=  
== Deutone ==
Subgroup: 2.3.7
{{See also| Hemimean clan #Deutone }}
Comma: 49/48


POTE generator: ~7/6 = 250.385
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]


Map: [&lt;1 0 2|, &lt;0 2 1|]
Scales:  
EDOs: 5, 9, 14, 19, 24
* [[Deutone6]] – 6-tone haplotonic scale
Error: 12.428
* [[Deutone7]] – 7-tone albitonic scale
* [[Deutone13]] – 13-tone chromatic scale


[[xenharmonic/semiphore5|Five note haplotonic scale]]
== Negra ==
[[xenharmonic/semiphore9|Nine note albitonic scale]]
{{Main| Negri }}
[[xenharmonic/semiphore14|Fourteen note chromatic scale]]
{{See also| Marvel temperaments #Negri }}


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


POTE generator: ~8/7 = 228.275
Scales:  
* [[Porkypine7]] – 7-tone haplotonic scale
* [[Porkypine8]] – 8-tone albitonic scale
* [[Porkypine15]] – 15-tone chromatic scale


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


[[xenharmonic/augment6|Six note haplotonic scale]]
Scales:
[[xenharmonic/augment9|Nine note albitonic scale]]
* [[Skateboard7]] – 7-tone haplotonic scale
[[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div>
* [[Skateboard11]] – 11-tone albitonic scale
<h4>Original HTML content:</h4>
* [[Skateboard15]] – 15-tone chromatic 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;
 
&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;
== Augment ==
&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Augment }}
&lt;hr /&gt;
 
&lt;br /&gt;
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]
&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;
Scales:  
&lt;br /&gt;
* [[Augment6]] – 6-tone haplotonic scale
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Terrain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Terrain&lt;/h1&gt;
* [[Augment9]] – 9-tone albitonic scale
Subgroup: 2.9/5.9/7&lt;br /&gt;
* [[Augment12]] – 12-tone chromatic scale
Commas: 250047/250000&lt;br /&gt;
 
Sval name: 6&amp;amp;21&lt;br /&gt;
== Semaphore ==
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
{{Main| Semaphore and godzilla }}
&lt;br /&gt;
{{See also| Semaphoresmic clan #Semaphore }}
&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;
 
&lt;br /&gt;
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
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;
Scales:  
Error: 0.0443 cents&lt;br /&gt;
* [[Semaphore5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Semaphore9]] – 9-tone albitonic 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.&lt;br /&gt;
* [[Semaphore14]] – 14-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Kryptonite ==
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Kryptonite }}
&lt;br /&gt;
 
&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;
Scales:  
Subgroup: 2.7.11&lt;br /&gt;
* [[Kryptonite9]] – 9-tone albitonic scale
Commas: 65536/65219&lt;br /&gt;
* [[Kryptonite10]] – 10-tone albitonic scale
Svals: 4&amp;amp;7&lt;br /&gt;
* [[Kryptonite19]] – 19-tone mega-chromatic scale
&lt;br /&gt;
 
POTE generator: ~77/64 = 323.372&lt;br /&gt;
== Oregon ==
&lt;br /&gt;
{{See also| Orgonia #Oregon }}
Map: [&amp;lt;1 2 4|, &amp;lt;0 3, -2|]&lt;br /&gt;
 
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308&lt;br /&gt;
Scales:  
Error: 0.7313&lt;br /&gt;
* [[Oregon7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Oregon11]] – 11-tone albitonic scale
&lt;!-- ws:start:WikiTextLocalImageRule:139:&amp;lt;img src=&amp;quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:139 --&gt;&lt;br /&gt;
* [[Oregon15]] – 15-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Antikythera ==
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Jubilismic clan #Antikythera }}
&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;
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
&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;
 
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
Scales:  
Commas: 352/351, 676/675&lt;br /&gt;
* [[Antikythera6]] – 6-tone haplotonic scale
Sval name: 5&amp;amp;24&lt;br /&gt;
* [[Antikythera10]] – 10-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago"&gt;barabados&lt;/a&gt;&lt;br /&gt;
* [[Antikythera16]] – 16-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~15/13 = 248.285&lt;br /&gt;
== Glacial ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Glacial }}
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
 
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
Scales:  
Error: 0.8996 cents&lt;br /&gt;
* [[Glacial6]] – 6-tone haplotonic scale
&lt;br /&gt;
* [[Glacial7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Glacial13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Leantone ==
&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;
{{See also| Hemimean clan #Leantone }}
&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;
 
&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;
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
&lt;br /&gt;
 
&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;
Scales:  
Subgroup: 2.3.5.13&lt;br /&gt;
* [[Leantone6]] – 6-tone haplotonic scale
Commas: 325/324, 625/624&lt;br /&gt;
* [[Leantone7]] – 7-tone albitonic scale
Sval name: 15&amp;amp;19&lt;br /&gt;
* [[Leantone13]] – 13-tone chromatic scale
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Notes ==
POTE generator: ~6/5 = 317.076&lt;br /&gt;
 
&lt;br /&gt;
[[Category:Lists of scales]]
Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
[[Category:Tempered scales| ]]
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333&lt;br /&gt;
[[Category:Listen]]
Error: 0.9355 cents&lt;br /&gt;
[[Category:Rank 2]]
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextLocalImageRule:140:&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:140 --&gt;&lt;br /&gt;
{{todo|cleanup}}
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&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;
&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;
&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;
Subgroup: 2.7/5.11/5.13/5&lt;br /&gt;
Commas: 847/845, 1001/1000&lt;br /&gt;
Sval name: 5&amp;amp;8&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/10 = 454.461&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 0 1|, &amp;lt;0 -4 3 1|]&lt;br /&gt;
EDOs: 5, 8, 21, 29, 37, 66, 169, 235&lt;br /&gt;
Error: 1.057&lt;br /&gt;
&lt;br /&gt;
&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;
&lt;br /&gt;
&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;
Commas: 352/351, 364/363&lt;br /&gt;
Sval name: 5&amp;amp;12&lt;br /&gt;
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;
&lt;br /&gt;
POTE generator: ~3/2 = 704.052&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
Error: 1.298 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&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;
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:141:&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:141 --&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;!-- ws:start:WikiTextLocalImageRule:142:&amp;lt;img src=&amp;quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:142 --&gt;&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;!-- ws:start:WikiTextLocalImageRule:143:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="shoe_37edo.jpg" title="shoe_37edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:143 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5"&gt;shoe5&lt;/a&gt; - five note mini &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/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:144:&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:144 --&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;!-- ws:start:WikiTextLocalImageRule:145:&amp;lt;img src=&amp;quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:145 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6"&gt;baldy6&lt;/a&gt; - six note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;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;!-- ws:start:WikiTextLocalImageRule:146:&amp;lt;img src=&amp;quot;/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:146 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier14"&gt;Fourteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule: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;!-- ws:start:WikiTextLocalImageRule:147:&amp;lt;img src=&amp;quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:147 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/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;!-- ws:start:WikiTextLocalImageRule:148:&amp;lt;img src=&amp;quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:148 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="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;!-- ws:start:WikiTextLocalImageRule:149:&amp;lt;img src=&amp;quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:149 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7"&gt;silver7&lt;/a&gt; -seven note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="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;
Music&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow"&gt;The Cry of Indium&lt;/a&gt; (in Indium 17) by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; =&amp;gt; &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank"&gt;details&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- 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:150:&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:150 --&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:151:&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:151 --&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="/meanenneadecal"&gt;meanenneadecal&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:152:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="score_20edo.jpg" title="score_20edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:152 --&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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