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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">By a //chromatic pair// is meant a pair of MOS in some rank two temperament (which may often be a [[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 [[Target tunings|tuning target]] the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.


[[toc|flat]]
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.


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


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]


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


=Bridgetown=
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]
Subgroup: 2.3.11/5.13/5
Commas: 352/351, 676/675
Sval name: 5&amp;24
Related temperament: [[The Archipelago|barabdos]]


POTE generator: ~15/13 = 248.285
Scales:  
* [[Petrtri5]] – 5-tone haplotonic scale
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
== Barton ==
EDOs: 5, 9, 14, 19, 24, 29
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
Error: 0.8996 cents
{{See also| The Jacobins #Barton }}


[[bridgetown9|Nine note albitonic scale]]
Scales:
[[bridgetown14|Fourteen note chromatic scale]]
* [[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


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


POTE generator: ~6/5 = 317.076
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
Scales:  
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
* [[Tridec8]] – 8-tone albitonic scale
Error: 0.9355 cents
* [[Tridec13]] – 13-tone chromatic scale


[[cata7|Seven note albitonic scale]]
== Nestoria ==
[[cata11|Eleven note mega albitonic scale]]
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
[[cata15|Fifteen note chromatic scale]]
[[cata19|Nineteen note mega chromatic scale]]


=Tridec=
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]
Subgroups: 2.7/5.11/5.13/5
Commas: 847/845, 1001/1000
Sval name: 5&amp;8


POTE generator: ~13/10 = 454.461
Scales:  
* [[Nestoria7]] – 7-tone albitonic scale
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


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


[[Tridec8|Eight note albitonic scale]]
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
[[Tridec13|Thirteen note chromatic scale]]


=Pepperoni=
Scales:
Subgroup: 2.3.11/7.13/7
* [[Orgone7]] – 7-tone albitonic scale
Commas: 352/351, 364/363
* [[Orgone11]] – 11-tone chromatic scale
Sval name: 5&amp;12
* [[Orgone15]] – 15-tone mega-chromatic scale
Related temperament: The [[Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.


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


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
Error: 1.298 cents


[[pepperoni7|Seven note albitonic scale]]
Scales:
[[pepperoni12|Twelve note chromatic scale]]
* [[Marveltwintri7]] – 7-tone albitonic scale
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


=Nestoria=
== Cata ==
Subgroup: 2.3.5.19
{{Main| Kleismic }}
Commas: 361/360, 513/512
{{See also| Kleismic family #Kleismic (2.3.5.13) a.k.a. cata }}
Sval name: 12&amp;29
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.746
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]


Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
* [[Cata7]] – 7-tone albitonic scale
Error: 1.819 cents
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


[[nestoria7|Seven note albitonic scale]]
== Bridgetown ==
[[nestoria12|Twelve note chromatic scale]]
{{See also| Subgroup temperaments #Bridgetown }}


==Photia==
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
Subgroup 2.3.5.17.19
Commas: 171/170, 256/255, 324/323
Sval name: 12&amp;41
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.470
Scales:  
* [[Bridgetown9]] – 9-tone albitonic scale
* [[Bridgetown14]] – 14-tone chromatic scale


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
; Music
EDOs: 7, 12, 17, 29, 41, 53, 65
* [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]]
Error: 3.457 cents
* ''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


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


=Huntington=
Scales:
Subgroup: 2.5.7.13
* [[Haumea5]] – 5-tone haplotonic scale
Commas: 640/637, 10985/10976
* [[Haumea9]] – 9-tone albitonic scale
Sval name: 10&amp;27
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


POTE generator: ~16/13 = 357.002
== Neutral ==
{{See also| Rastmic clan #Neutral }}


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
Error: 2.1001 cents


[[huntington7|Seven note haplotonic scale]]
Scales:
[[huntington10|Ten note albitonic scale]]
* [[Neutral7]] – 7-tone albitonic scale
[[huntington17|Seventeen note chromatic scale]]
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] – 17-tone mega-chromatic scale


=Roulette=
; Music
Subgroup: 2.5.7.11.13
* [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: 176/175, 1375/1372, 640/637
Sval name: 6&amp;25
Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]


POTE generator: ~28/25 = 194.594
== Slendric ==
{{Main| Slendric }}
{{See also| Gamelismic clan #Slendric }}


Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
EDOs: 6, 7, 13, 19, 25, 31, 37
Error: 2.555 cents


[[roulette6|Six note haplotonic scale]]
Scales:
[[roulette7|Seven note albitonic scale]]
* [[Slendric5]] – 5-tone haplotonic scale
[[roulette13|Thirteen note chromatic scale]]
* [[Slendric6]] – 6-tone haplotonic scale
[[roulette19|Nineteen note mega chromatic scale]]
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


=Baldy=
== Huntington ==
Subgroup: 2.9.5.7.13
{{See also| No-threes subgroup temperaments #Huntington }}
Commas: 225/224, 325/324, 640/637
Sval name: 6&amp;35
Related temperament: [[Schismatic family|Garibaldi]]


POTE generator: ~9/8 = 204.090
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]


Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]
Scales:  
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
* [[Huntington7]] – 7-tone haplotonic scale
Error: 2.617 cents
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


[[baldy6|Six note haplotonic scale]]
== Tobago ==
[[baldy11|Eleven note albitonic scale]]
{{See also| Subgroup temperaments #Tobago }}
[[baldy17|Seventeen note chromatic scale]]


=Bossier=
Scales:
Subgroup: 2.7.11.13
* [[Tobago6]] – 6-tone haplotonic scale
Commas: 1573/1569, 15488/15379
* [[Tobago10]] – 10-tone albitonic scale
Sval name: 3&amp;17
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


POTE generator: ~14/11 = 421.309
== Pepperoni ==
{{See also| Parapyth | Subgroup temperaments #Pepperoni }}


Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
EDOs: 17, 20, 37, 57, 94, 225
Error: 2.665 cents


[[bossier8|Eight note albitonic scale]]
Scales:
[[bossier11|Eleven note chromatic scale]]
* [[Pepperoni7]] – 7-tone albitonic scale
[[bossier14|Fourteen note mega chromatic scale]]
* [[Pepperoni12]] – 12-tone chromatic scale


=Radon=
== Wizz ==
Subgroup: 2.3.7.11
{{See also| No-threes subgroup temperaments #Wizz }}
Commas: 896/891, 1029/1024
Sval name: 5&amp;36
Related temperament: [[Gamelismic clan|Rodan]]


POTE generator: ~8/7 = 234.381
Scales:  
* [[Wizz6]] – 6-tone haplotonic scale
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


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


[[radon5|Five note haplotonic scale]]
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
[[radon11|Eleven note albitonic scale]]
[[radon16|Sixteen note chromatic scale]]


=Indium=
Scales:
Subgroup: 2.5/3.7/3.11/3
* [[Bossier8]] – 8-tone albitonic scale
Commas: 3025/3024, 3125/3087
* [[Bossier11]] – 11-tone chromatic scale
Sval name: 8&amp;33
* [[Bossier14]] – 14-tone mega-chromatic scale


POTE generator: ~12/11 = 147.159
== Penta a.k.a. mechanism ==
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}


Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
Scales:  
EDOs: 33, 41, 49, 57, 106
* [[Penta5]] – 5-tone haplotonic scale
Error: 3.968 cents
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


[[indium8|Eight note albitonic scale]]
== Bluebirds ==
[[indium17|Seventeen note chromatic scale]]
{{See also| No-threes subgroup temperaments #Bluebirds }}


=Hemif=
Scales:
Subgroup: 2.3.7.11.13
* [[Bluebirds6]] – 6-tone haplotonic scale
Commas: 144/143, 243/242, 364/363
* [[Bluebirds7]] – 7-tone albitonic scale
Related temperament: [[Breedsmic temperaments|Hemififths]]
* [[Bluebirds13]] – 13-tone chromatic scale


POTE generator: ~11/9 = 351.691
== Marveltri ==
{{See also| Subgroup temperaments #Marveltri }}


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
Scales:  
EDOs: 7, 10, 17, 24, 41, 58
* [[Marveltri7]] – 7-tone albitonic scale
Error: 4.867 cents
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


[[hemif7|Seven note haplotonic scale]]
== Edson ==
[[hemif10|Ten note albitonic scale]]
{{See also| Subgroup temperaments #Edson }}
[[hemif17|Seventeen note chromatic scale]]


=Skwares=
Scales:
Subgroup: 2.3.7.11
* [[Edson5]] – 5-tone haplotonic scale
Commas: 99/98, 243/242
* [[Edson7]] – 7-tone albitonic scale
Related temperament: [[Meantone family|squares]]
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


POTE generator: ~9/7 = 425.244
== Photia ==
{{See also| Schismatic family #Photia (2.3.5.17) }}


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
Error: 4.942 cents


[[skwares8|Eight note albitonic scale]]
Scales:
[[skwares11|Eleven note mega albitonic scale]]
* [[Photia7]] – 7-tone albitonic scale
[[skwares14|Fourteen note chromatic scale]]
* [[Photia12]] – 12-tone chromatic scale


=Greeley=
== Shoe a.k.a. llywelyn ==
Subgroup: 2.5/3.7/3.11/3
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}
Commas: 121/120, 126/125


POTE generator: ~11/10 = 156.055
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
Scales:
EDOs: 8, 15, 23, 77, 100
* [[Shoe5]] – 5-tone mini-haplotonic scale
Error: 5.404 cents
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


[[greeley8|Eight note albitonic scale]]
== Roulette ==
[[greeley15|Fifteen note chromatic scale]]
{{See also | Hemimean clan #Roulette }}


=Semidim=
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
Subgroup: 2.5/3.7/3.11/3.13/3
Commas: 121/120, 169/168, 275/273
Sval name: 8&amp;29


POTE generator: ~13/10 = 453.190
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 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
== Silver ==
EDOs: 5, 8, 13, 21, 29, 37, 45
{{See also | No-threes subgroup temperaments #Silver }}
Error: 5.433 cents


[[semidim8|Eight note albitonic scale]]
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
[[semidim13|Thirteen note chromatic scale]]


=Mohaha=
Scales:
Subgroup: 2.3.5.11
* [[Silver7]] – 7-tone haplotonic scale
Commas: 81/80, 121/120
* [[Silver10]] – 10-tone albitonic scale
Related temperament: [[Meantone family|mohajira]]
* [[Silver17]] – 17-tone chromatic scale


POTE generator: ~11/9 = 348.094
== Baldy ==
{{See also| Subgroup temperaments #Baldy }}


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
EDOs: 7, 10, 17, 24, 31, 131
Error: 6.733 cents


[[mohaha7|Seven note albitonic scale]]
Scales
[[mohaha10|Ten note chromatic scale]]
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


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


POTE generator: ~11/9 = 348.916
== Guanyintet ==
{{See also | Subgroup temperaments #Guanyintet }}


Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
Scales:  
EDOs: 7, 10, 17, 24, 31, 55
* [[Guanyintet5]] – 5-tone haplotonic scale
Error: 9.556 cents
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


=Tutone=
== Radon ==
Subgroup: 2.9.5.7.11
{{See also| Gamelismic clan #Radon }}
Commas: 81/80, 99/98, 126/125
Related temperament: [[Meantone family|meantone]]


POTE generator: ~9/8 = 193.937
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
* [[Radon5]] – 5-tone haplotonic scale
EDOs: 6, 7, 13, 19, 25, 31, 99
* [[Radon11]] – 11-tone albitonic scale
Error: 7.047 cents
* [[Radon16]] – 16-tone chromatic scale


[[tutone6|Six note haplotonic scale]]
== Gariberttet ==
[[tutone7|Seven note albitonic scale]]
{{See also | Subgroup temperaments #Gariberttet }}
[[tutone13|Thirteen note chromatic scale]]


==Leantone==
Scales:
Subgroup: 2.9.5.7.11
* [[Gariberttet5]] – 5-tone haplotonic scale
Commas: 45/44, 56/55, 81/80
* [[Gariberttet9]] – 9-tone albitonic scale
Related temperament: [[Meantone family|flattone]]
* [[Gariberttet13]] – 13-tone chromatic scale


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


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
* [[Namo7]] – 7-tone haplotonic scale
Error: 20.338 cents
* [[Namo10]] – 10-tone albitonic scale
* [[Namo17]] – 17-tone chromatic scale


[[leantone6|Six note haplotonic scale]]
== Sentry ==
[[leantone7|Seven note albitonic scale]]
{{See also | Subgroup temperaments #Sentry }}
[[leantone13|Thirteen note chromatic scale]]


=Score=
Scales:
Subgroup: 2.7.11.13
* [[Sentry5]] – 5-tone haplotonic scale
Commas: 343/338, 847/832
* [[Sentry8]] – 8-tone albitonic scale
* [[Sentry11]] – 11-tone chromatic scale


POTE generator: ~11/8 = 540.099
== Hemif ==
{{See also| No-fives subgroup temperaments #Hemif }}


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]
EDOs: 5, 7, 9, 11, 20
Error: 8.052 cents


[[score5|Five note haplotonic scale]]
Scales:
[[score7|Seven note albitonic scale]]
* [[Hemif7]] – 7-tone haplotonic scale
[[score9|Nine note mega albitonic scale]]
* [[Hemif10]] – 10-tone albitonic scale
[[score11|Eleven note chromatic scale]]
* [[Hemif17]] – 17-tone chromatic scale


=Supra=
== Garibaldi ==
Subgroup: 2.3.7.11
{{Main| Garibaldi }}
Commas: 64/63, 99/98
{{See also| Schismatic family #Garibaldi }}
Related temperament: [[Archytas clan|superpyth]]


POTE generator: ~3/2 = 707.192
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
Scales:  
EDOs: 5, 7, 12, 17, 22, 39, 56
* [[Garibaldi12]] – 12-tone albitonic scale
Error: 9.795 cents
* [[Garibaldi17]] – 17-tone chromatic scale


[[supra7|Seven note albitonic scale]]
== Mabilic ==
[[supra12|Twelve note chromatic scale]]
{{See also| No-threes subgroup temperaments #Mabilic }}


==Supraphon==
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
Subgroup: 2.3.7.11.13
Commas: 64/63, 78/77, 99/98


POTE generator: ~3/2 = 706.137
Scales:  
* [[Mabilic7]] – 7-tone haplotonic scale
* [[Mabilic9]] – 9-tone albitonic scale
* [[Mabilic16]] – 16-tone chromatic scale


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


==Machine==
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
Subgroup: 2.9.7.11
Commas: 64/63, 99/98


POTE generator: ~9/8 = 214.384
Scales:  
* [[Indium8]] – 8-tone albitonic scale
* [[Indium17]] – 17-tone chromatic scale


Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
; Music
EDOs: 5, 6, 11, 17, 28
* ''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]
Error: 10.100 cents


[[machine5|Five note haplotonic scale]]
== Starlingtet ==
[[machine6|Six note albitonic scale]]
{{See also | Subgroup temperaments #Starlingtet }}
[[machine11|Eleven note chromatic scale]]


=Augment=
Scales:
Subgroup: 2.5.7.11
* [[Starlingtet4]] – 4-tone haplotonic scale
Commas: 56/55, 128/125
* [[Starlingtet7]] – 7-tone albitonic scale
Related temperament: [[Augmented family|augmented]]
* [[Starlingtet11]] – 11-tone chromatic scale


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


Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
EDOs: 3, 6, 9, 15, 21
Error: 12.830 cents


[[augment6|Six note haplotonic scale]]
Scales:
[[augment9|Nine note albitonic scale]]
* [[Lovecraft5]] – 5-tone haplotonic scale
[[augment12|Twelve note chromatic scale]]
* [[Lovecraft9]] – 9-tone albitonic scale
</pre></div>
* [[Lovecraft13]] – 13-tone chromatic scale
<h4>Original HTML content:</h4>
 
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chromatic pairs&lt;/title&gt;&lt;/head&gt;&lt;body&gt;By a &lt;em&gt;chromatic pair&lt;/em&gt; is meant a pair of MOS in some rank two temperament (which may often be a &lt;a class="wiki_link" href="/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="/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;
== Blackbirds ==
&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Blackbirds }}
&lt;!-- ws:start:WikiTextTocRule:52:&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:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt;&lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt;&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;!-- ws:start:WikiTextTocRule:62: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:62 --&gt;&lt;!-- ws:start:WikiTextTocRule:63: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:63 --&gt;&lt;!-- ws:start:WikiTextTocRule:64: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:64 --&gt;&lt;!-- ws:start:WikiTextTocRule:65: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:65 --&gt;&lt;!-- ws:start:WikiTextTocRule:66: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:66 --&gt;&lt;!-- ws:start:WikiTextTocRule:67: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:67 --&gt;&lt;!-- ws:start:WikiTextTocRule:68: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:68 --&gt;&lt;!-- ws:start:WikiTextTocRule:69: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:69 --&gt;&lt;!-- ws:start:WikiTextTocRule:70: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:70 --&gt;&lt;!-- ws:start:WikiTextTocRule:71: --&gt;&lt;!-- ws:end:WikiTextTocRule:71 --&gt;&lt;!-- ws:start:WikiTextTocRule:72: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:72 --&gt;&lt;!-- ws:start:WikiTextTocRule:73: --&gt;&lt;!-- ws:end:WikiTextTocRule:73 --&gt;&lt;!-- ws:start:WikiTextTocRule:74: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:74 --&gt;&lt;!-- ws:start:WikiTextTocRule:75: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:75 --&gt;&lt;!-- ws:start:WikiTextTocRule:76: --&gt;&lt;!-- ws:end:WikiTextTocRule:76 --&gt;&lt;!-- ws:start:WikiTextTocRule:77: --&gt;&lt;!-- ws:end:WikiTextTocRule:77 --&gt;&lt;!-- ws:start:WikiTextTocRule:78: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt;
 
&lt;!-- ws:end:WikiTextTocRule:79 --&gt;&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Terrain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Terrain&lt;/h1&gt;
* [[Blackbirds8]] – 8-tone albitonic scale
Subgroup: 2.9/5.9/7&lt;br /&gt;
* [[Blackbirds12]] – 12-tone chromatic scale
Commas: 250047/250000&lt;br /&gt;
* [[Blackbirds16]] – 16-tone mega-chromatic scale
Sval name: 6&amp;amp;21&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
== Laz ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Laz }}
POTE generator: ~10/9 = 182.462&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
* [[Laz5]] – 5-tone haplotonic scale
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
* [[Laz9]] – 9-tone albitonic scale
Error: 0.0443 cents&lt;br /&gt;
* [[Laz13]] – 13-tone chromatic scale
&lt;br /&gt;
 
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.&lt;br /&gt;
== Myna ==
&lt;br /&gt;
{{Main| Myna }}
&lt;a class="wiki_link" href="/terrain9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Starling temperaments #Myna }}
&lt;a class="wiki_link" href="/terrain15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Bridgetown&lt;/h1&gt;
 
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
Scales:
Commas: 352/351, 676/675&lt;br /&gt;
* [[Myna7]] – 7-tone haplotonic scale
Sval name: 5&amp;amp;24&lt;br /&gt;
* [[Myna11]] – 11-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barabdos&lt;/a&gt;&lt;br /&gt;
* [[Myna15]] – 15-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~15/13 = 248.285&lt;br /&gt;
== Greeley ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Greeley }}
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;
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
Error: 0.8996 cents&lt;br /&gt;
 
&lt;br /&gt;
Scales:
&lt;a class="wiki_link" href="/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Greeley8]] – 8-tone albitonic scale
&lt;a class="wiki_link" href="/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Greeley15]] – 15-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Cata&lt;/h1&gt;
; Music
Subgroup: 2.3.5.13&lt;br /&gt;
* ''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]
Commas: 325/324, 625/624&lt;br /&gt;
 
Sval name: 15&amp;amp;19&lt;br /&gt;
== Ammon ==
Related temperament: &lt;a class="wiki_link" href="/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Ammon }}
&lt;br /&gt;
 
POTE generator: ~6/5 = 317.076&lt;br /&gt;
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
Scales:  
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246&lt;br /&gt;
* [[Ammon8]] – 8-tone albitonic scale
Error: 0.9355 cents&lt;br /&gt;
* [[Ammon13]] – 13-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Mothwelltri ==
&lt;a class="wiki_link" href="/cata11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Mothwelltri }}
&lt;a class="wiki_link" href="/cata15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Mothwelltri5]] – 5-tone haplotonic scale
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Tridec"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Tridec&lt;/h1&gt;
* [[Mothwelltri9]] – 9-tone albitonic scale
Subgroups: 2.7/5.11/5.13/5&lt;br /&gt;
* [[Mothwelltri13]] – 13-tone chromatic scale
Commas: 847/845, 1001/1000&lt;br /&gt;
 
Sval name: 5&amp;amp;8&lt;br /&gt;
== Sulis ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Sulis }}
POTE generator: ~13/10 = 454.461&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 2 0 1|, &amp;lt;0 -4 3 1|]&lt;br /&gt;
* [[Sulis7]] – 7-tone haplotonic scale
EDOs: 5, 8, 21, 29, 37, 66, 169, 235&lt;br /&gt;
* [[Sulis10]] – 10-tone albitonic scale
Error: 1.057&lt;br /&gt;
* [[Sulis13]] – 13-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/Tridec8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Skwares ==
&lt;a class="wiki_link" href="/Tridec13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Squares }}
&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Skwares }}
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Pepperoni&lt;/h1&gt;
 
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
Commas: 352/351, 364/363&lt;br /&gt;
 
Sval name: 5&amp;amp;12&lt;br /&gt;
Scales:  
Related temperament: The &lt;a class="wiki_link" href="/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;
* [[Skwares8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Skwares11]] – 11-tone mega-albitonic scale
POTE generator: ~3/2 = 704.052&lt;br /&gt;
* [[Skwares14]] – 14-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
== Orwell ==
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
{{Main| Orwell }}
Error: 1.298 cents&lt;br /&gt;
{{See also| Semicomma family #Orwell }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/pepperoni7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
&lt;a class="wiki_link" href="/pepperoni12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Nestoria&lt;/h1&gt;
* [[Orwell5]] – 5-tone haplotonic scale
Subgroup: 2.3.5.19&lt;br /&gt;
* [[Orwell9]] – 9-tone albitonic scale
Commas: 361/360, 513/512&lt;br /&gt;
* [[Orwell13]] – 13-tone chromatic scale
Sval name: 12&amp;amp;29&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
== Magicaltet ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Magicaltet }}
POTE generator: ~3/2 = 701.746&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 0 15 9], &amp;lt;0 1 -8 -3|]&lt;br /&gt;
* [[Magicaltet7]] – 7-tone albitonic scale
EDOs: 7, 12, 17, 29, 41, 53, 118, 171&lt;br /&gt;
* [[Magicaltet11]] – 11-tone chromatic scale
Error: 1.819 cents&lt;br /&gt;
* [[Magicaltet15]] – 15-tone mega-chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Magic ==
&lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Magic }}
&lt;br /&gt;
{{See also| Magic family #Magic }}
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Nestoria-Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Photia&lt;/h2&gt;
 
Subgroup 2.3.5.17.19&lt;br /&gt;
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
 
Sval name: 12&amp;amp;41&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
* [[Magic7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Magic10]] – 10-tone albitonic scale
POTE generator: ~3/2 = 701.470&lt;br /&gt;
* [[Magic13]] – 13-tone chromatic scale
&lt;br /&gt;
* [[Magic16]] – 16-tone mega-chromatic scale
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
* [[Magic19]] – 19-tone mega-chromatic scale
EDOs: 7, 12, 17, 29, 41, 53, 65&lt;br /&gt;
 
Error: 3.457 cents&lt;br /&gt;
== Kiribati ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Kiribati }}
&lt;a class="wiki_link" href="/photia7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Kiribati13]] – 13-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Huntington&lt;/h1&gt;
* [[Kiribati14]] – 14-tone chromatic scale
Subgroup: 2.5.7.13&lt;br /&gt;
 
Commas: 640/637, 10985/10976&lt;br /&gt;
== Score ==
Sval name: 10&amp;amp;27&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Score }}
&lt;br /&gt;
 
POTE generator: ~16/13 = 357.002&lt;br /&gt;
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
Scales:  
EDOs: 7, 10, 17, 27, 37, 84, 121, 400&lt;br /&gt;
* [[Score5]] – 5-tone haplotonic scale
Error: 2.1001 cents&lt;br /&gt;
* [[Score7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Score9]] – 9-tone mega-albitonic scale
&lt;a class="wiki_link" href="/huntington7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Score11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/huntington10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Sensi ==
&lt;br /&gt;
{{Main| Sensi }}
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Roulette&lt;/h1&gt;
{{See also| Sensipent family #Sensi }}
Subgroup: 2.5.7.11.13&lt;br /&gt;
 
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
Sval name: 6&amp;amp;25&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
POTE generator: ~28/25 = 194.594&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
Map: [&amp;lt;1 0 -3 -7 -13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
 
Error: 2.555 cents&lt;br /&gt;
=== Sensation ===
&lt;br /&gt;
{{Main| Sensi }}
&lt;a class="wiki_link" href="/roulette6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
&lt;a class="wiki_link" href="/roulette7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/roulette13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/roulette19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Baldy&lt;/h1&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
Subgroup: 2.9.5.7.13&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
Commas: 225/224, 325/324, 640/637&lt;br /&gt;
 
Sval name: 6&amp;amp;35&lt;br /&gt;
== Meantone ==
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
{{Main| Meantone }}
&lt;br /&gt;
{{See also| Meantone family #Meantone }}
POTE generator: ~9/8 = 204.090&lt;br /&gt;
 
&lt;br /&gt;
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
Map: [&amp;lt;1 0 15 25 -8|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
 
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147&lt;br /&gt;
Scales:  
Error: 2.617 cents&lt;br /&gt;
* [[Meantone5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Meantone7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/baldy6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Meantone12]] – 12-tone chromatic scale
&lt;a class="wiki_link" href="/baldy11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/baldy17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Mohaha ==
&lt;br /&gt;
{{See also| Rastmic clan #Mohaha }}
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Bossier"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Bossier&lt;/h1&gt;
 
Subgroup: 2.7.11.13&lt;br /&gt;
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
Commas: 1573/1569, 15488/15379&lt;br /&gt;
 
Sval name: 3&amp;amp;17&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Mohaha7]] – 7-tone albitonic scale
POTE generator: ~14/11 = 421.309&lt;br /&gt;
* [[Mohaha10]] – 10-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 1 3|, &amp;lt;0 8 7 2|]&lt;br /&gt;
Music:
EDOs: 17, 20, 37, 57, 94, 225&lt;br /&gt;
; [[Billy Stiltner]]
Error: 2.665 cents&lt;br /&gt;
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/bossier8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
=== Mohoho ===
&lt;a class="wiki_link" href="/bossier11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Rastmic clan #Mohoho }}
&lt;a class="wiki_link" href="/bossier14"&gt;Fourteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Joan ==
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Radon&lt;/h1&gt;
{{See also| Subgroup temperaments #Joan }}
Subgroup: 2.3.7.11&lt;br /&gt;
 
Commas: 896/891, 1029/1024&lt;br /&gt;
Scales:
Sval name: 5&amp;amp;36&lt;br /&gt;
* [[Joan5]] – 5-tone haplotonic scale
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
* [[Joan7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Joan9]] – 9-tone mega-albitonic scale
POTE generator: ~8/7 = 234.381&lt;br /&gt;
* [[Joan11]] – 11-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
== Tutone ==
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
{{See also| Hemimean clan #Tutone }}
Error: 2.925 cents&lt;br /&gt;
 
&lt;br /&gt;
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
&lt;a class="wiki_link" href="/radon5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/radon11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Tutone6]] – 6-tone haplotonic scale
&lt;br /&gt;
* [[Tutone7]] – 7-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Indium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Indium&lt;/h1&gt;
* [[Tutone13]] – 13-tone chromatic scale
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
 
Commas: 3025/3024, 3125/3087&lt;br /&gt;
== Stacks ==
Sval name: 8&amp;amp;33&lt;br /&gt;
{{See also| Subgroup temperaments #Stacks (a.k.a. 2magic) }}
&lt;br /&gt;
 
POTE generator: ~12/11 = 147.159&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Stacks5]] – 5-tone haplotonic scale
Map: [&amp;lt;1 0 0 2|, &amp;lt;0 6 10 -1|]&lt;br /&gt;
* [[Stacks8]] – 8-tone albitonic scale
EDOs: 33, 41, 49, 57, 106&lt;br /&gt;
* [[Stacks11]] – 11-tone chromatic scale
Error: 3.968 cents&lt;br /&gt;
* [[Stacks19]] – 19-tone mega-chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/indium8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Bleu ==
&lt;a class="wiki_link" href="/indium17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Bleu }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Hemif&lt;/h1&gt;
Scales:  
Subgroup: 2.3.7.11.13&lt;br /&gt;
* [[Bleu8]] – 8-tone haplotonic scale
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
* [[Bleu9]] – 9-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;&lt;br /&gt;
* [[Bleu17]] – 17-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~11/9 = 351.691&lt;br /&gt;
== Sephiroth ==
&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Sephiroth }}
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;
Scales:  
Error: 4.867 cents&lt;br /&gt;
* [[Sephiroth7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Sephiroth10]] – 10-tone albitonic scale
&lt;a class="wiki_link" href="/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Sephiroth13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/hemif10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Sephiroth16]] – 16-tone mega-chromatic scale
&lt;a class="wiki_link" href="/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Archy ==
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Skwares&lt;/h1&gt;
{{Main| Superpyth }}
Subgroup: 2.3.7.11&lt;br /&gt;
{{See also| Archytas clan #Archy }}
Commas: 99/98, 243/242&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Archy5]] – 5-tone haplotonic scale
POTE generator: ~9/7 = 425.244&lt;br /&gt;
* [[Archy7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Archy12]] – 12-tone chromatic scale
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;
=== Supra ===
Error: 4.942 cents&lt;br /&gt;
{{Main| Quasisuper }}
&lt;br /&gt;
{{See also| Archytas clan #Supra }}
&lt;a class="wiki_link" href="/skwares8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/skwares11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]
&lt;a class="wiki_link" href="/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Greeley&lt;/h1&gt;
* [[Supra7]] – 7-tone [[albitonic scale]]
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
* [[Supra12]] – 12-tone [[chromatic scale]]
Commas: 121/120, 126/125&lt;br /&gt;
 
&lt;br /&gt;
=== Supraphon ===
POTE generator: ~11/10 = 156.055&lt;br /&gt;
{{Main| Quasisuper }}
&lt;br /&gt;
{{See also| Archytas clan #Supraphon }}
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;
== Suhajira ==
Error: 5.404 cents&lt;br /&gt;
{{See also| Archytas clan #Suhajira }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Suhajira7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Suhajira10]] – 10-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Semidim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Semidim&lt;/h1&gt;
* [[Suhajira17]] – 17-tone chromatic scale
Subgroup: 2.5/3.7/3.11/3.13/3&lt;br /&gt;
 
Commas: 121/120, 169/168, 275/273&lt;br /&gt;
== Machine ==
Sval name: 8&amp;amp;29&lt;br /&gt;
{{See also| Subgroup temperaments #Machine }}
&lt;br /&gt;
 
POTE generator: ~13/10 = 453.190&lt;br /&gt;
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 3 5 3 4|, &amp;lt;0 -6 -10 -3 -5|]&lt;br /&gt;
Scales:
EDOs: 5, 8, 13, 21, 29, 37, 45&lt;br /&gt;
* [[Machine5]] – 5-tone haplotonic scale
Error: 5.433 cents&lt;br /&gt;
* [[Machine6]] – 6-tone albitonic scale
&lt;br /&gt;
* [[Machine11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/semidim8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/semidim13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Deutone ==
&lt;br /&gt;
{{See also| Hemimean clan #Deutone }}
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Mohaha&lt;/h1&gt;
 
Subgroup: 2.3.5.11&lt;br /&gt;
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]
Commas: 81/80, 121/120&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Deutone6]] – 6-tone haplotonic scale
POTE generator: ~11/9 = 348.094&lt;br /&gt;
* [[Deutone7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Deutone13]] – 13-tone chromatic scale
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;
== Negra ==
Error: 6.733 cents&lt;br /&gt;
{{Main| Negri }}
&lt;br /&gt;
{{See also| Semaphoresmic clan #Negri }}
&lt;a class="wiki_link" href="/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Porkypine ==
&lt;br /&gt;
{{Main| Porcupine }}
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Mohoho&lt;/h2&gt;
{{See also| Porcupine family #Porcupine }}
Subgroup: 2.3.5.11.13&lt;br /&gt;
 
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Porkypine7]] – 7-tone haplotonic scale
POTE generator: ~11/9 = 348.916&lt;br /&gt;
* [[Porkypine8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Porkypine15]] – 15-tone chromatic scale
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;
== Skateboard ==
Error: 9.556 cents&lt;br /&gt;
{{See also| Subgroup temperaments #Skateboard }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Tutone&lt;/h1&gt;
Scales:  
Subgroup: 2.9.5.7.11&lt;br /&gt;
* [[Skateboard7]] – 7-tone haplotonic scale
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
* [[Skateboard11]] – 11-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
* [[Skateboard15]] – 15-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~9/8 = 193.937&lt;br /&gt;
== Augment ==
&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Augment }}
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;
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]
Error: 7.047 cents&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/tutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Augment6]] – 6-tone haplotonic scale
&lt;a class="wiki_link" href="/tutone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Augment9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Augment12]] – 12-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Tutone-Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Leantone&lt;/h2&gt;
== Semaphore ==
Subgroup: 2.9.5.7.11&lt;br /&gt;
{{Main| Semaphore and godzilla }}
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
{{See also| Semaphoresmic clan #Semaphore }}
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
POTE generator: ~9/8 = 192.500&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 0 -4 -13 -6|, &amp;lt;0 1 2 5 3|]&lt;br /&gt;
* [[Semaphore5]] – 5-tone haplotonic scale
EDOs: 6, 7, 13, 19, 25, 31, 56, 81&lt;br /&gt;
* [[Semaphore9]] – 9-tone albitonic scale
Error: 20.338 cents&lt;br /&gt;
* [[Semaphore14]] – 14-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/leantone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
== Kryptonite ==
&lt;a class="wiki_link" href="/leantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Kryptonite }}
&lt;a class="wiki_link" href="/leantone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Score&lt;/h1&gt;
* [[Kryptonite9]] – 9-tone albitonic scale
Subgroup: 2.7.11.13&lt;br /&gt;
* [[Kryptonite10]] – 10-tone albitonic scale
Commas: 343/338, 847/832&lt;br /&gt;
* [[Kryptonite19]] – 19-tone mega-chromatic scale
&lt;br /&gt;
 
POTE generator: ~11/8 = 540.099&lt;br /&gt;
== Oregon ==
&lt;br /&gt;
{{See also| Orgonia #Oregon }}
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;
Scales:  
Error: 8.052 cents&lt;br /&gt;
* [[Oregon7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Oregon11]] – 11-tone albitonic scale
&lt;a class="wiki_link" href="/score5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Oregon15]] – 15-tone chromatic scale
&lt;a class="wiki_link" href="/score7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/score9"&gt;Nine note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
== Antikythera ==
&lt;a class="wiki_link" href="/score11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Jubilismic clan #Antikythera }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Supra&lt;/h1&gt;
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
Subgroup: 2.3.7.11&lt;br /&gt;
 
Commas: 64/63, 99/98&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt;&lt;br /&gt;
* [[Antikythera6]] – 6-tone haplotonic scale
&lt;br /&gt;
* [[Antikythera10]] – 10-tone albitonic scale
POTE generator: ~3/2 = 707.192&lt;br /&gt;
* [[Antikythera16]] – 16-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
== Glacial ==
EDOs: 5, 7, 12, 17, 22, 39, 56&lt;br /&gt;
{{See also| Subgroup temperaments #Glacial }}
Error: 9.795 cents&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Glacial6]] – 6-tone haplotonic scale
&lt;a class="wiki_link" href="/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Glacial7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Glacial13]] – 13-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc23"&gt;&lt;a name="Supra-Supraphon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;Supraphon&lt;/h2&gt;
 
Subgroup: 2.3.7.11.13&lt;br /&gt;
== Leantone ==
Commas: 64/63, 78/77, 99/98&lt;br /&gt;
{{See also| Hemimean clan #Leantone }}
&lt;br /&gt;
 
POTE generator: ~3/2 = 706.137&lt;br /&gt;
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 0 6 13 18|, &amp;lt;0 1 -2 -6 -9|]&lt;br /&gt;
Scales:  
EDOs: 5, 7, 12, 17&lt;br /&gt;
* [[Leantone6]] – 6-tone haplotonic scale
Error: 10.534 cents&lt;br /&gt;
* [[Leantone7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Leantone13]] – 13-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc24"&gt;&lt;a name="Supra-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;Machine&lt;/h2&gt;
 
Subgroup: 2.9.7.11&lt;br /&gt;
{{Navbox scale gallery}}
Commas: 64/63, 99/98&lt;br /&gt;
[[Category:Tempered scales|*]]
&lt;br /&gt;
[[Category:Listen]]
POTE generator: ~9/8 = 214.384&lt;br /&gt;
[[Category:Rank 2]]
&lt;br /&gt;
{{Todo| cleanup }}
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="/machine5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/machine6"&gt;Six note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/machine11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&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="/Augmented%20family"&gt;augmented&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7&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="/augment6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/augment9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/augment12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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