Chromatic pairs: Difference between revisions

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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
Related temperament: [[Minortonic family#Domain|domain]]
POTE generator: ~10/9 = 182.462


Map: [&lt;3 0 -4|, &lt;0 1 2|]
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
Error: 0.0443 cents


Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
Scales:
* [[Terrain9]] – 9-tone albitonic scale
* [[Terrain15]] – 15-tone chromatic scale


[[terrain9|Nine note albitonic scale]]
; Music
[[terrain15|Fifteen note chromatic scale]]
* ''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]


=Nestoria=
== Petrtri ==
Subgroup: 2.3.5.19
{{See also| Subgroup temperaments #Petrtri }}
Commas: 361/360, 513/512
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.746
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
* [[Petrtri5]] – 5-tone haplotonic scale
Error: 1.819 cents
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


[[nestoria7|Seven note albitonic scale]]
== Barton ==
[[nestoria12|Twelve note chromatic scale]]
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
{{See also| The Jacobins #Barton }}


==Photia==
Scales:
Subgroup 2.3.5.17.19
* [[Barton5]] – 5-tone haplotonic scale
Commas: 171/170, 256/255, 324/323
* [[Barton7]] – 7-tone albitonic scale
Related temperament: [[Schismatic family|schismatic]]
* [[Barton9]] – 9-tone mega-albitonic scale
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


POTE generator: ~3/2 = 701.470
== Tridec ==
{{See also| Subgroup temperaments #Tridec }}


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
EDOs: 7, 12, 17, 29, 41, 53, 65
Error: 3.457 cents


[[photia7|Seven note albitonic scale]]
Scales:
[[photia12|Twelve note chromatic scale]]
* [[Tridec8]] – 8-tone albitonic scale
* [[Tridec13]] – 13-tone chromatic scale


=Cata=
== Nestoria ==
Subgroup: 2.3.5.13
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
Commas: 325/324, 625/624
Related temperament: [[Kleismic family|catakleismic]]


POTE generator: ~6/5 = 317.076
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
Scales:  
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
* [[Nestoria7]] – 7-tone albitonic scale
Error: 0.9355 cents
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


[[cata7|Seven note albitonic scale]]
== Orgone ==
[[cata11|Eleven note mega albitonic scale]]
{{Main| Orgone }}
[[cata15|Fifteen note chromatic scale]]
{{See also| Orgonia #Orgone }}
[[cata19|Nineteen note mega chromatic scale]]


=Bridgetown=
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
Subgroup: 2.3.11/5.13/5
Commas: 352/351, 676/675
Related temperament: [[The Archipelago|barabdos]]


POTE generator: ~15/13 = 248.285
Scales:  
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
== Marveltwintri ==
EDOs: 5, 9, 14, 19, 24, 29
{{See also| Subgroup temperaments #Marveltwintri }}
Error: 0.8996 cents


[[bridgetown9|Nine note albitonic scale]]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
[[bridgetown14|Fourteen note chromatic scale]]


=Huntington=
Scales:
Subgroup: 2.5.7.13
* [[Marveltwintri7]] – 7-tone albitonic scale
Commas: 640/637, 10985/10976
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


POTE generator: ~16/13 = 357.002
== Cata ==
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
Error: 2.1001 cents


[[huntington7|Seven note haplotonic scale]]
Scales:
[[huntington10|Ten note albitonic scale]]
* [[Cata7]] – 7-tone albitonic scale
[[huntington17|Seventeen note chromatic scale]]
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


=Bossier=
== Bridgetown ==
Subgroup: 2.7.11.13
{{See also| Subgroup temperaments #Bridgetown }}
Commas: 1573/1569, 15488/15379


POTE generator: ~14/11 = 421.309
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]


Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
Scales:  
EDOs: 17, 20, 37, 57, 94, 225
* [[Bridgetown9]] – 9-tone albitonic scale
Error: 2.665 cents
* [[Bridgetown14]] – 14-tone chromatic scale


[[bossier8|Eight note albitonic scale]]
; Music
[[bossier11|Eleven note chromatic scale]]
* [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]]
[[bossier14|Fourteen note mega chromatic scale]]
* ''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


=Roulette=
== Haumea ==
Subgroup: 2.5.7.11.13
{{See also| Subgroup temperaments #Haumea }}
Commas: 176/175, 1375/1372, 640/637
Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]


POTE generator: ~28/25 = 194.594
Scales:  
* [[Haumea5]] – 5-tone haplotonic scale
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]
== Neutral ==
EDOs: 6, 7, 13, 19, 25, 31, 37
{{See also| Rastmic clan #Neutral }}
Error: 2.555 cents


[[roulette6|Six note haplotonic scale]]
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
[[roulette7|Seven note albitonic scale]]
[[roulette13|Thirteen note chromatic scale]]
[[roulette19|Nineteen note mega chromatic scale]]


=Baldy=
Scales:
Subgroup: 2.9.5.7.13
* [[Neutral7]] – 7-tone albitonic scale
Commas: 225/224, 325/325, 640/637
* [[Neutral10]] – 10-tone chromatic scale
Related temperament: [[Schismatic family|Garibaldi]]
* [[Neutral17]] – 17-tone mega-chromatic scale


POTE generator: ~9/8 = 204.090
; Music
* [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning


Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]
== Slendric ==
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
{{Main| Slendric }}
Error: 2.617 cents
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


[[baldy6|Six note haplotonic scale]]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
[[baldy11|Eleven note albitonic scale]]
[[baldy17|Seventeen note chromatic scale]]


=Hemif=
Scales:
Subgroup: 2.3.7.11.13
* [[Slendric5]] – 5-tone haplotonic scale
Commas: 144/143, 243/242, 364/363
* [[Slendric6]] – 6-tone haplotonic scale
Related temperament: [[Breedsmic temperaments|Hemififths]]
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


POTE generator: ~11/9 = 351.691
== Huntington ==
{{See also| No-threes subgroup temperaments #Huntington }}


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
EDOs: 7, 10, 17, 24, 41, 58
Error: 4.867 cents


[[hemif7|Seven note haplotonic scale]]
Scales:
[[hemif10|Ten note albitonic scale]]
* [[Huntington7]] – 7-tone haplotonic scale
[[hemif17|Seventeen note chromatic scale]]
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


=Radon=
== Tobago ==
Subgroup: 2.3.7.11
{{See also| Subgroup temperaments #Tobago }}
Commas: 896/891, 1029/1024
Related temperament: [[Gamelismic clan|Rodan]]


POTE generator: ~8/7 = 234.381
Scales:  
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
== Pepperoni ==
EDOs: 5, 36, 41, 87, 128
{{See also| Parapyth }}
Error: 2.925 cents
{{See also| Subgroup temperaments #Pepperoni }}


[[radon5|Five note haplotonic scale]]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
[[radon11|Eleven note albitonic scale]]
[[radon16|Sixteen note chromatic scale]]


=Pepperoni=
Scales:  
Subgroup: 2.3.11/7.13/7
* [[Pepperoni7]] – 7-tone albitonic scale
Commas: 352/351, 364/363
* [[Pepperoni12]] – 12-tone chromatic scale
Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]]


POTE generator: ~3/2 = 704.052
== Wizz ==
{{See also| No-threes subgroup temperaments #Wizz }}


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
Scales:  
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
* [[Wizz6]] – 6-tone haplotonic scale
Error: 1.298 cents
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


[[pepperoni7|Seven note albitonic scale]]
== Bossier ==
[[pepperoni12|Twelve note chromatic scale]]
{{See also| No-threes subgroup temperaments #Bossier }}


=Skwares=
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
Subgroup: 2.3.7.11
Commas: 99/98, 243/242
Related temperament: [[Meantone family|squares]]


POTE generator: ~9/7 = 425.244
Scales:  
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
== Penta a.k.a. mechanism ==
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}
Error: 3.009 cents


[[skwares8|Eight note albitonic scale]]
Scales:
[[skwares11|Eleven note mega albitonic scale]]
* [[Penta5]] – 5-tone haplotonic scale
[[skwares14|Fourteen note chromatic scale]]
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


=Tutone=
== Bluebirds ==
Subgroup: 2.9.5.7.11
{{See also| No-threes subgroup temperaments #Bluebirds }}
Commas: 81/80, 99/98, 126/125
Related temperament: [[Meantone family|meantone]]


POTE generator: ~9/8 = 193.937
Scales:  
* [[Bluebirds6]] – 6-tone haplotonic scale
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
== Marveltri ==
EDOs: 6, 7, 13, 19, 25, 31, 99
{{See also| Subgroup temperaments #Marveltri }}
Error: 3.218 cents


[[tutone6|Six note haplotonic scale]]
Scales:
[[tutone7|Seven note albitonic scale]]
* [[Marveltri7]] – 7-tone albitonic scale
[[tutone13|Thirteen note chromatic scale]]
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


==Leantone==
== Edson ==
Subgroup: 2.9.5.7.11
{{See also| Subgroup temperaments #Edson }}
Commas: 45/44, 56/55, 81/80
Related temperament: [[Meantone family|flattone]]


POTE generator: ~9/8 = 192.500
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 -4 -13 -6|, &lt;0 1 2 5 3|]
== Photia ==
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
{{See also| Schismatic family #Photia (2.3.5.17) }}
Error: 8.680 cents


[[leantone6|Six note haplotonic scale]]
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
[[leantone7|Seven note albitonic scale]]
[[leantone13|Thirteen note chromatic scale]]


=Mohaha=
Scales:  
Subgroup: 2.3.5.11
* [[Photia7]] – 7-tone albitonic scale
Commas: 81/80, 121/120
* [[Photia12]] – 12-tone chromatic scale
Related temperament: [[Meantone family|mohajira]]


POTE generator: ~11/9 = 348.094
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
EDOs: 7, 10, 17, 24, 31, 131
Error: 3.813 cents


[[mohaha7|Seven note albitonic scale]]
Scales:
[[mohaha10|Ten note chromatic scale]]
* [[Shoe5]] – 5-tone mini-haplotonic scale
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


==Mohoho==
== Roulette ==
Subgroup: 2.3.5.11.13
{{See also | Hemimean clan #Roulette }}
Commas: 66/65, 81/80, 121/120


POTE generator: ~11/9 = 348.916
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]


Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
Scales:  
EDOs: 7, 10, 17, 24, 31, 55
* [[Roulette6]] – 6-tone haplotonic scale
Error: 4.829 cents
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


=Score=
== Silver ==
Subgroup: 2.7.11.13
{{See also | No-threes subgroup temperaments #Silver }}
Commas: 343/338, 847/832


POTE generator: ~11/8 = 540.099
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
Scales:  
EDOs: 5, 7, 9, 11, 20
* [[Silver7]] – 7-tone haplotonic scale
Error: 3.846 cents
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


[[score5|Five note haplotonic scale]]
== Baldy ==
[[score7|Seven note albitonic scale]]
{{See also| Subgroup temperaments #Baldy }}
[[score9|Nine note mega albitonic scale]]
[[score11|Eleven note chromatic scale]]


=Supra=
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[Archytas clan|superpyth]]


POTE generator: ~3/2 = 707.192
Scales
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
EDOs: 5, 7, 12, 17, 22, 39, 56
Error: 5.414 cents


[[supra7|Seven note albitonic scale]]
== Guanyintet ==
[[supra12|Twelve note chromatic scale]]
{{See also | Subgroup temperaments #Guanyintet }}


==Supraphon==
Scales:
Subgroup: 2.3.7.11.13
* [[Guanyintet5]] – 5-tone haplotonic scale
Commas: 64/63, 78/77, 99/98
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


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


Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
EDOs: 5, 7, 12, 17
Error: 5.132 cents


==Machine==
* [[Radon5]] – 5-tone haplotonic scale
Subgroup: 2.9.7.11
* [[Radon11]] – 11-tone albitonic scale
Commas: 64/63, 99/98
* [[Radon16]] – 16-tone chromatic scale


POTE generator: ~9/8 = 214.384
== Gariberttet ==
{{See also | Subgroup temperaments #Gariberttet }}


Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
Scales:  
EDOs: 5, 6, 11, 17, 28
* [[Gariberttet5]] – 5-tone haplotonic scale
Error: 5.414 cents
* [[Gariberttet9]] – 9-tone albitonic scale
* [[Gariberttet13]] – 13-tone chromatic scale


[[machine5|Five note haplotonic scale]]
== Namo ==
[[machine6|Six note albitonic scale]]
{{See also| Rastmic clan #Namo }}
[[machine11|Eleven note chromatic scale]]


=Augment=
Scales:
Subgroup: 2.5.7.11
* [[Namo7]] – 7-tone haplotonic scale
Commas: 56/55, 128/125
* [[Namo10]] – 10-tone albitonic scale
Related temperament: [[Augmented family|augmented]]
* [[Namo17]] – 17-tone chromatic scale


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


Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
Scales:  
EDOs: 3, 6, 9, 15, 21
* [[Sentry5]] – 5-tone haplotonic scale
Error: 6.632 cents
* [[Sentry8]] – 8-tone albitonic scale
* [[Sentry11]] – 11-tone chromatic scale


[[augment6|Six note haplotonic scale]]
== Hemif ==
[[augment9|Nine note albitonic scale]]
{{See also| No-fives subgroup temperaments #Hemif }}
[[augment12|Twelve note chromatic scale]]


=Greeley=
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]
Subgroup: 2.5/3.7/3.11/3
Commas: 121/120, 126/125


POTE generator: ~11/10 = 156.055
Scales:  
* [[Hemif7]] – 7-tone haplotonic scale
* [[Hemif10]] – 10-tone albitonic scale
* [[Hemif17]] – 17-tone chromatic scale


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
== Garibaldi ==
EDOs: 8, 15, 23, 77, 100
{{Main| Garibaldi temperament }}
Error: 7.555 cents
{{See also| Schismatic family #Garibaldi }}


[[greeley8|Eight note albitonic scale]]
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
[[greeley15|Fifteen note chromatic scale]]
 
</pre></div>
Scales:
<h4>Original HTML content:</h4>
* [[Garibaldi12]] – 12-tone albitonic 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;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;
* [[Garibaldi17]] – 17-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextTocRule:46:&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:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt;&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;!-- ws:start:WikiTextTocRule:62: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:62 --&gt;&lt;!-- ws:start:WikiTextTocRule:63: --&gt;&lt;!-- ws:end:WikiTextTocRule:63 --&gt;&lt;!-- ws:start:WikiTextTocRule:64: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:64 --&gt;&lt;!-- ws:start:WikiTextTocRule:65: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:65 --&gt;&lt;!-- ws:start:WikiTextTocRule:66: --&gt;&lt;!-- ws:end:WikiTextTocRule:66 --&gt;&lt;!-- ws:start:WikiTextTocRule:67: --&gt;&lt;!-- ws:end:WikiTextTocRule:67 --&gt;&lt;!-- ws:start:WikiTextTocRule:68: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:68 --&gt;&lt;!-- ws:start:WikiTextTocRule:69: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:69 --&gt;&lt;!-- ws:start:WikiTextTocRule:70: --&gt;
== Mabilic ==
&lt;!-- ws:end:WikiTextTocRule:70 --&gt;&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Mabilic }}
&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;
 
Subgroup: 2.9/5.9/7&lt;br /&gt;
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
Commas: 250047/250000&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
Scales:  
POTE generator: ~10/9 = 182.462&lt;br /&gt;
* [[Mabilic7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Mabilic9]] – 9-tone albitonic scale
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
* [[Mabilic16]] – 16-tone chromatic scale
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
 
Error: 0.0443 cents&lt;br /&gt;
== Indium ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Indium }}
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.&lt;br /&gt;
 
&lt;br /&gt;
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
&lt;a class="wiki_link" href="/terrain9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/terrain15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:
&lt;br /&gt;
* [[Indium8]] – 8-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Nestoria&lt;/h1&gt;
* [[Indium17]] – 17-tone chromatic scale
Subgroup: 2.3.5.19&lt;br /&gt;
 
Commas: 361/360, 513/512&lt;br /&gt;
; Music
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
* ''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]
&lt;br /&gt;
 
POTE generator: ~3/2 = 701.746&lt;br /&gt;
== Starlingtet ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Starlingtet }}
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;
Scales:
Error: 1.819 cents&lt;br /&gt;
* [[Starlingtet4]] – 4-tone haplotonic scale
&lt;br /&gt;
* [[Starlingtet7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Starlingtet11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Lovecraft ==
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Nestoria-Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Photia&lt;/h2&gt;
{{See also | No-threes subgroup temperaments #Lovecraft }}
Subgroup 2.3.5.17.19&lt;br /&gt;
 
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:
POTE generator: ~3/2 = 701.470&lt;br /&gt;
* [[Lovecraft5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Lovecraft9]] – 9-tone albitonic scale
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
* [[Lovecraft13]] – 13-tone chromatic scale
EDOs: 7, 12, 17, 29, 41, 53, 65&lt;br /&gt;
 
Error: 3.457 cents&lt;br /&gt;
== Blackbirds ==
&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Blackbirds }}
&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;
* [[Blackbirds8]] – 8-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Cata&lt;/h1&gt;
* [[Blackbirds12]] – 12-tone chromatic scale
Subgroup: 2.3.5.13&lt;br /&gt;
* [[Blackbirds16]] – 16-tone mega-chromatic scale
Commas: 325/324, 625/624&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
== Laz ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Laz }}
POTE generator: ~6/5 = 317.076&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
* [[Laz5]] – 5-tone haplotonic scale
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246&lt;br /&gt;
* [[Laz9]] – 9-tone albitonic scale
Error: 0.9355 cents&lt;br /&gt;
* [[Laz13]] – 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;
== Myna ==
&lt;a class="wiki_link" href="/cata11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Myna }}
&lt;a class="wiki_link" href="/cata15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Starling temperaments #Myna }}
&lt;a class="wiki_link" href="/cata19"&gt;Nineteen note mega 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:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&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
Related temperament: &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barabdos&lt;/a&gt;&lt;br /&gt;
* [[Myna11]] – 11-tone albitonic scale
&lt;br /&gt;
* [[Myna15]] – 15-tone chromatic scale
POTE generator: ~15/13 = 248.285&lt;br /&gt;
 
&lt;br /&gt;
== Greeley ==
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
{{See also| Subgroup temperaments #Greeley }}
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
 
Error: 0.8996 cents&lt;br /&gt;
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Greeley8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Greeley15]] – 15-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Huntington&lt;/h1&gt;
 
Subgroup: 2.5.7.13&lt;br /&gt;
; Music
Commas: 640/637, 10985/10976&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]
&lt;br /&gt;
 
POTE generator: ~16/13 = 357.002&lt;br /&gt;
== Ammon ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Ammon }}
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;
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
Error: 2.1001 cents&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/huntington7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Ammon8]] – 8-tone albitonic scale
&lt;a class="wiki_link" href="/huntington10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Ammon13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Mothwelltri ==
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Bossier"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Bossier&lt;/h1&gt;
{{See also| Subgroup temperaments #Mothwelltri }}
Subgroup: 2.7.11.13&lt;br /&gt;
 
Commas: 1573/1569, 15488/15379&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Mothwelltri5]] – 5-tone haplotonic scale
POTE generator: ~14/11 = 421.309&lt;br /&gt;
* [[Mothwelltri9]] – 9-tone albitonic scale
&lt;br /&gt;
* [[Mothwelltri13]] – 13-tone chromatic scale
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;
== Sulis ==
Error: 2.665 cents&lt;br /&gt;
{{See also| Subgroup temperaments #Sulis }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/bossier8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/bossier11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Sulis7]] – 7-tone haplotonic scale
&lt;a class="wiki_link" href="/bossier14"&gt;Fourteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Sulis10]] – 10-tone albitonic scale
&lt;br /&gt;
* [[Sulis13]] – 13-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Roulette&lt;/h1&gt;
 
Subgroup: 2.5.7.11.13&lt;br /&gt;
== Skwares ==
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
{{Main| Squares }}
Related temperament: &lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Skwares }}
&lt;br /&gt;
 
POTE generator: ~28/25 = 194.594&lt;br /&gt;
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 0 -3 -7 -13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
* [[Skwares8]] – 8-tone albitonic scale
Error: 2.555 cents&lt;br /&gt;
* [[Skwares11]] – 11-tone mega-albitonic scale
&lt;br /&gt;
* [[Skwares14]] – 14-tone chromatic scale
&lt;a class="wiki_link" href="/roulette6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/roulette7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Orwell ==
&lt;a class="wiki_link" href="/roulette13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Orwell }}
&lt;a class="wiki_link" href="/roulette19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Semicomma family #Orwell }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Baldy&lt;/h1&gt;
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
Subgroup: 2.9.5.7.13&lt;br /&gt;
 
Commas: 225/224, 325/325, 640/637&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
* [[Orwell5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Orwell9]] – 9-tone albitonic scale
POTE generator: ~9/8 = 204.090&lt;br /&gt;
* [[Orwell13]] – 13-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 15 25 -8|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
== Magicaltet ==
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147&lt;br /&gt;
{{See also| Subgroup temperaments #Magicaltet }}
Error: 2.617 cents&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/baldy6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Magicaltet7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/baldy11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Magicaltet11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/baldy17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Magicaltet15]] – 15-tone mega-chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Hemif&lt;/h1&gt;
== Magic ==
Subgroup: 2.3.7.11.13&lt;br /&gt;
{{Main| Magic }}
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
{{See also| Magic family #Magic }}
Related temperament: &lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
POTE generator: ~11/9 = 351.691&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
* [[Magic7]] – 7-tone haplotonic scale
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
* [[Magic10]] – 10-tone albitonic scale
Error: 4.867 cents&lt;br /&gt;
* [[Magic13]] – 13-tone chromatic scale
&lt;br /&gt;
* [[Magic16]] – 16-tone mega-chromatic scale
&lt;a class="wiki_link" href="/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/hemif10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Kiribati ==
&lt;a class="wiki_link" href="/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Kiribati }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Radon&lt;/h1&gt;
Scales:
Subgroup: 2.3.7.11&lt;br /&gt;
* [[Kiribati13]] – 13-tone chromatic scale
Commas: 896/891, 1029/1024&lt;br /&gt;
* [[Kiribati14]] – 14-tone chromatic scale
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Score ==
POTE generator: ~8/7 = 234.381&lt;br /&gt;
{{See also|No-threes subgroup temperaments #Score }}
&lt;br /&gt;
 
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
 
Error: 2.925 cents&lt;br /&gt;
Scales:
&lt;br /&gt;
* [[Score5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/radon5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Score7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/radon11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Score9]] – 9-tone mega-albitonic scale
&lt;a class="wiki_link" href="/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Score11]] – 11-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Pepperoni&lt;/h1&gt;
== Sensi ==
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
{{Main| Sensi }}
Commas: 352/351, 364/363&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
Related temperament: &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;'s &lt;a class="wiki_link" href="/Pepper%20temperament"&gt;pepper temperament&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
POTE generator: ~3/2 = 704.052&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
Error: 1.298 cents&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
&lt;a class="wiki_link" href="/pepperoni7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/pepperoni12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
=== Sensation ===
&lt;br /&gt;
{{Main| Sensi }}
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Skwares&lt;/h1&gt;
{{See also| Sensipent family #Sensi }}
Subgroup: 2.3.7.11&lt;br /&gt;
 
Commas: 99/98, 243/242&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
POTE generator: ~9/7 = 425.244&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
&lt;br /&gt;
* [[Sensi19]] – 19-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;
== Meantone ==
Error: 3.009 cents&lt;br /&gt;
{{Main| Meantone }}
&lt;br /&gt;
{{See also| Meantone family #Meantone }}
&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:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
&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:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Tutone&lt;/h1&gt;
* [[Meantone5]] – 5-tone haplotonic scale
Subgroup: 2.9.5.7.11&lt;br /&gt;
* [[Meantone7]] – 7-tone albitonic scale
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
* [[Meantone12]] – 12-tone chromatic scale
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Mohaha ==
POTE generator: ~9/8 = 193.937&lt;br /&gt;
{{See also| Rastmic clan #Mohaha }}
&lt;br /&gt;
 
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
EDOs: 6, 7, 13, 19, 25, 31, 99&lt;br /&gt;
 
Error: 3.218 cents&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Mohaha7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/tutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Mohaha10]] – 10-tone chromatic scale
&lt;a class="wiki_link" href="/tutone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Music:  
&lt;br /&gt;
; [[Billy Stiltner]]
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="Tutone-Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Leantone&lt;/h2&gt;
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
Subgroup: 2.9.5.7.11&lt;br /&gt;
 
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
=== Mohoho ===
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;&lt;br /&gt;
{{See also| Rastmic clan #Mohoho }}
&lt;br /&gt;
 
POTE generator: ~9/8 = 192.500&lt;br /&gt;
== Joan ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Joan }}
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;
Scales:
Error: 8.680 cents&lt;br /&gt;
* [[Joan5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Joan7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/leantone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Joan9]] – 9-tone mega-albitonic scale
&lt;a class="wiki_link" href="/leantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Joan11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/leantone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Tutone ==
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Mohaha&lt;/h1&gt;
{{See also| Hemimean clan #Tutone }}
Subgroup: 2.3.5.11&lt;br /&gt;
 
Commas: 81/80, 121/120&lt;br /&gt;
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~11/9 = 348.094&lt;br /&gt;
* [[Tutone6]] – 6-tone haplotonic scale
&lt;br /&gt;
* [[Tutone7]] – 7-tone albitonic scale
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
* [[Tutone13]] – 13-tone chromatic scale
EDOs: 7, 10, 17, 24, 31, 131&lt;br /&gt;
 
Error: 3.813 cents&lt;br /&gt;
== Stacks ==
&lt;br /&gt;
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
&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;
Scales:  
&lt;br /&gt;
* [[Stacks5]] – 5-tone haplotonic scale
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Mohoho&lt;/h2&gt;
* [[Stacks8]] – 8-tone albitonic scale
Subgroup: 2.3.5.11.13&lt;br /&gt;
* [[Stacks11]] – 11-tone chromatic scale
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
* [[Stacks19]] – 19-tone mega-chromatic scale
&lt;br /&gt;
 
POTE generator: ~11/9 = 348.916&lt;br /&gt;
== Bleu ==
&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Bleu }}
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;
Scales:  
Error: 4.829 cents&lt;br /&gt;
* [[Bleu8]] – 8-tone haplotonic scale
&lt;br /&gt;
* [[Bleu9]] – 9-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Score&lt;/h1&gt;
* [[Bleu17]] – 17-tone chromatic scale
Subgroup: 2.7.11.13&lt;br /&gt;
 
Commas: 343/338, 847/832&lt;br /&gt;
== Sephiroth ==
&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Sephiroth }}
POTE generator: ~11/8 = 540.099&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 1 3 1|, &amp;lt;0 4 1 6|]&lt;br /&gt;
* [[Sephiroth7]] – 7-tone haplotonic scale
EDOs: 5, 7, 9, 11, 20&lt;br /&gt;
* [[Sephiroth10]] – 10-tone albitonic scale
Error: 3.846 cents&lt;br /&gt;
* [[Sephiroth13]] – 13-tone chromatic scale
&lt;br /&gt;
* [[Sephiroth16]] – 16-tone mega-chromatic scale
&lt;a class="wiki_link" href="/score5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/score7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Archy ==
&lt;a class="wiki_link" href="/score9"&gt;Nine note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Superpyth }}
&lt;a class="wiki_link" href="/score11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Archytas clan #Archy }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Supra&lt;/h1&gt;
Scales:
Subgroup: 2.3.7.11&lt;br /&gt;
* [[Archy5]] – 5-tone haplotonic scale
Commas: 64/63, 99/98&lt;br /&gt;
* [[Archy7]] – 7-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt;&lt;br /&gt;
* [[Archy12]] – 12-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~3/2 = 707.192&lt;br /&gt;
=== Supra ===
&lt;br /&gt;
{{Main| Superpyth }}
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
{{See also| Archytas clan #Supra }}
EDOs: 5, 7, 12, 17, 22, 39, 56&lt;br /&gt;
 
Error: 5.414 cents&lt;br /&gt;
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Supra7]] – 7-tone [[albitonic scale]]
&lt;br /&gt;
* [[Supra12]] – 12-tone [[chromatic scale]]
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Supra-Supraphon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Supraphon&lt;/h2&gt;
 
Subgroup: 2.3.7.11.13&lt;br /&gt;
=== Supraphon ===
Commas: 64/63, 78/77, 99/98&lt;br /&gt;
{{Main| Superpyth }}
&lt;br /&gt;
{{See also| Archytas clan #Supraphon }}
POTE generator: ~3/2 = 706.137&lt;br /&gt;
 
&lt;br /&gt;
== Suhajira ==
Map: [&amp;lt;1 0 6 13 18|, &amp;lt;0 1 -2 -6 -9|]&lt;br /&gt;
{{See also| Archytas clan #Suhajira }}
EDOs: 5, 7, 12, 17&lt;br /&gt;
 
Error: 5.132 cents&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Suhajira7]] – 7-tone haplotonic scale
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Supra-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Machine&lt;/h2&gt;
* [[Suhajira10]] – 10-tone albitonic scale
Subgroup: 2.9.7.11&lt;br /&gt;
* [[Suhajira17]] – 17-tone chromatic scale
Commas: 64/63, 99/98&lt;br /&gt;
 
&lt;br /&gt;
== Machine ==
POTE generator: ~9/8 = 214.384&lt;br /&gt;
{{See also| Subgroup temperaments #Machine}}
&lt;br /&gt;
 
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -1 -3|]&lt;br /&gt;
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
EDOs: 5, 6, 11, 17, 28&lt;br /&gt;
 
Error: 5.414 cents&lt;br /&gt;
Scales:
&lt;br /&gt;
* [[Machine5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/machine5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Machine6]] – 6-tone albitonic scale
&lt;a class="wiki_link" href="/machine6"&gt;Six note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Machine11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/machine11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Deutone ==
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Augment&lt;/h1&gt;
{{See also| Hemimean clan #Deutone }}
Subgroup: 2.5.7.11&lt;br /&gt;
 
Commas: 56/55, 128/125&lt;br /&gt;
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]
Related temperament: &lt;a class="wiki_link" href="/Augmented%20family"&gt;augmented&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~8/7&lt;br /&gt;
* [[Deutone6]] – 6-tone haplotonic scale
&lt;br /&gt;
* [[Deutone7]] – 7-tone albitonic scale
Map: [&amp;lt;3 7 0 2|, &amp;lt;0 0 1 1|]&lt;br /&gt;
* [[Deutone13]] – 13-tone chromatic scale
EDOs: 3, 6, 9, 15, 21&lt;br /&gt;
 
Error: 6.632 cents&lt;br /&gt;
== Negra ==
&lt;br /&gt;
{{Main| Negri }}
&lt;a class="wiki_link" href="/augment6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Marvel temperaments #Negri }}
&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;br /&gt;
== Porkypine ==
&lt;br /&gt;
{{Main| Porcupine }}
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Greeley&lt;/h1&gt;
{{See also| Porcupine family #Porcupine }}
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
 
Commas: 121/120, 126/125&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Porkypine7]] – 7-tone haplotonic scale
POTE generator: ~11/10 = 156.055&lt;br /&gt;
* [[Porkypine8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Porkypine15]] – 15-tone chromatic scale
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;
== Skateboard ==
Error: 7.555 cents&lt;br /&gt;
{{See also| Subgroup temperaments #Skateboard }}
&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;/body&gt;&lt;/html&gt;</pre></div>
* [[Skateboard7]] – 7-tone haplotonic scale
* [[Skateboard11]] – 11-tone albitonic scale
* [[Skateboard15]] – 15-tone chromatic scale
 
== Augment ==
{{See also| No-threes subgroup temperaments #Augment }}
 
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]
 
Scales:  
* [[Augment6]] – 6-tone haplotonic scale
* [[Augment9]] – 9-tone albitonic scale
* [[Augment12]] – 12-tone chromatic scale
 
== Semaphore ==
{{Main| Semaphore and godzilla }}
{{See also| Semaphoresmic clan #Semaphore }}
 
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
 
Scales:  
* [[Semaphore5]] – 5-tone haplotonic scale
* [[Semaphore9]] – 9-tone albitonic scale
* [[Semaphore14]] – 14-tone chromatic scale
 
== Kryptonite ==
{{See also| Subgroup temperaments #Kryptonite }}
 
Scales:  
* [[Kryptonite9]] – 9-tone albitonic scale
* [[Kryptonite10]] – 10-tone albitonic scale
* [[Kryptonite19]] – 19-tone mega-chromatic scale
 
== Oregon ==
{{See also| Orgonia #Oregon }}
 
Scales:  
* [[Oregon7]] – 7-tone haplotonic scale
* [[Oregon11]] – 11-tone albitonic scale
* [[Oregon15]] – 15-tone chromatic scale
 
== Antikythera ==
{{See also| Jubilismic clan #Antikythera }}
 
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
 
Scales:
* [[Antikythera6]] – 6-tone haplotonic scale
* [[Antikythera10]] – 10-tone albitonic scale
* [[Antikythera16]] – 16-tone chromatic scale
 
== Glacial ==
{{See also| Subgroup temperaments #Glacial }}
 
Scales:
* [[Glacial6]] – 6-tone haplotonic scale
* [[Glacial7]] – 7-tone albitonic scale
* [[Glacial13]] – 13-tone chromatic scale
 
== Leantone ==
{{See also| Hemimean clan #Leantone }}
 
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
 
Scales:  
* [[Leantone6]] – 6-tone haplotonic scale
* [[Leantone7]] – 7-tone albitonic scale
* [[Leantone13]] – 13-tone chromatic scale
 
== Notes ==
 
[[Category:Lists of scales]]
[[Category:Tempered scales| ]]
[[Category:Listen]]
[[Category:Rank 2]]
 
{{todo|cleanup}}