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">[[toc|flat]]
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.


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


POTE generator: ~10/9 = 182.462
== Terrain ==
{{See also| Subgroup temperaments #Terrain }}


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]


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


POTE generator: ~15/13 = 248.285
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
Scales:  
EDOs: 5, 9, 14, 19, 24, 29
* [[Petrtri5]] – 5-tone haplotonic scale
Error: 0.8996 cents
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


[[bridgetown9|Nine note albitonic scale]]
== Barton ==
[[bridgetown14|Fourteen note chromatic scale]]
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
{{See also| The Jacobins #Barton }}


=Cata=
Scales:
Subgroup: 2.3.5.13
* [[Barton5]] – 5-tone haplotonic scale
Commas: 325/324, 625/624
* [[Barton7]] – 7-tone albitonic scale
Sval name: 15&amp;19
* [[Barton9]] – 9-tone mega-albitonic scale
Related temperament: [[Kleismic family|catakleismic]]
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


POTE generator: ~6/5 = 317.076
== Tridec ==
{{See also| Subgroup temperaments #Tridec }}


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
Error: 0.9355 cents


[[cata7|Seven note albitonic scale]]
Scales:
[[cata11|Eleven note mega albitonic scale]]
* [[Tridec8]] – 8-tone albitonic scale
[[cata15|Fifteen note chromatic scale]]
* [[Tridec13]] – 13-tone chromatic scale
[[cata19|Nineteen note mega chromatic scale]]


=Tridec=  
== Nestoria ==
Subgroup: 2.7/5.11/5.13/5
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
Commas: 847/845, 1001/1000
Sval name: 5&amp;8


POTE generator: ~13/10 = 454.461
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]


Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]
Scales:  
EDOs: 5, 8, 21, 29, 37, 66, 169, 235
* [[Nestoria7]] – 7-tone albitonic scale
Error: 1.057
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


[[Tridec8|Eight note albitonic scale]]
== Orgone ==
[[Tridec13|Thirteen note chromatic scale]]
{{Main| Orgone }}
{{See also| Orgonia #Orgone }}


=Pepperoni=
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
Subgroup: 2.3.11/7.13/7
Commas: 352/351, 364/363
Sval name: 5&amp;12
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
Scales:  
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


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


[[pepperoni7|Seven note albitonic scale]]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
[[pepperoni12|Twelve note chromatic scale]]


=Nestoria=
Scales:  
Subgroup: 2.3.5.19
* [[Marveltwintri7]] – 7-tone albitonic scale
Commas: 361/360, 513/512
* [[Marveltwintri11]] – 11-tone chromatic scale
Sval name: 12&amp;29
* [[Marveltwintri15]] – 15-tone mega-chromatic scale
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.746
== Cata ==
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}


Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
Error: 1.819 cents


[[nestoria7|Seven note albitonic scale]]
Scales:
[[nestoria12|Twelve note chromatic scale]]
* [[Cata7]] – 7-tone albitonic scale
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


==Photia==  
== Bridgetown ==
Subgroup: 2.3.5.17.19
{{See also| Subgroup temperaments #Bridgetown }}
Commas: 171/170, 256/255, 324/323
Sval name: 12&amp;41
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.470
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 65
* [[Bridgetown9]] – 9-tone albitonic scale
Error: 3.457 cents
* [[Bridgetown14]] – 14-tone chromatic scale


[[photia7|Seven note albitonic scale]]
; Music
[[photia12|Twelve 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]]
* ''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


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


POTE generator: ~16/13 = 357.002
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 5 4 4|, &lt;0 -9 -4 -1|]
== Neutral ==
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
{{See also| Rastmic clan #Neutral }}
Error: 2.1001 cents


[[huntington7|Seven note haplotonic scale]]
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
[[huntington10|Ten note albitonic scale]]
[[huntington17|Seventeen note chromatic scale]]


=Roulette=
Scales:
Subgroup: 2.5.7.11.13
* [[Neutral7]] – 7-tone albitonic scale
Commas: 176/175, 1375/1372, 640/637
* [[Neutral10]] – 10-tone chromatic scale
Sval name: 6&amp;25
* [[Neutral17]] – 17-tone mega-chromatic scale
Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]


POTE generator: ~28/25 = 194.594
; 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 -3 -7 13|, &lt;0 2 5 9 -8|]
== Slendric ==
EDOs: 6, 7, 13, 19, 25, 31, 37
{{Main| Slendric }}
Error: 2.555 cents
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


[[roulette6|Six note haplotonic scale]]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
[[roulette7|Seven note albitonic scale]]
[[roulette13|Thirteen note chromatic scale]]
[[roulette19|Nineteen note mega chromatic scale]]


=Garibaldi=
Scales:
Group: 2.3.5.7
* [[Slendric5]] – 5-tone haplotonic scale
Commas: 225/224, 3125/3087
* [[Slendric6]] – 6-tone haplotonic scale
Val name: 12&amp;29
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


POTE generator: ~3/2 = 702.085
== Huntington ==
{{See also| No-threes subgroup temperaments #Huntington }}


Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
EDOs: 7, 12, 17, 29, 41, 53, 94
Error: 2.834


[[garibaldi12|Twelve note albitonic scale]]
Scales:
[[garibaldi17|Seventeen note chromatic scale]]
* [[Huntington7]] – 7-tone haplotonic scale
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


=Baldy=  
== Tobago ==
Subgroup: 2.9.5.7.13
{{See also| Subgroup temperaments #Tobago }}
Commas: 225/224, 325/324, 640/637
Sval name: 6&amp;35
Related temperament: [[Schismatic family|Garibaldi]]


POTE generator: ~9/8 = 204.090
Scales:  
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
== Pepperoni ==
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
{{See also| Parapyth }}
Error: 2.617 cents
{{See also| Subgroup temperaments #Pepperoni }}


[[baldy6|Six note haplotonic scale]]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
[[baldy11|Eleven note albitonic scale]]
[[baldy17|Seventeen note chromatic scale]]


=Bossier=
Scales:
Subgroup: 2.7.11.13
* [[Pepperoni7]] – 7-tone albitonic scale
Commas: 1573/1569, 15488/15379
* [[Pepperoni12]] – 12-tone chromatic scale
Sval name: 3&amp;17


POTE generator: ~14/11 = 421.309
== Wizz ==
{{See also| No-threes subgroup temperaments #Wizz }}


Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
Scales:  
EDOs: 17, 20, 37, 57, 94, 225
* [[Wizz6]] – 6-tone haplotonic scale
Error: 2.665 cents
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


[[bossier8|Eight note albitonic scale]]
== Bossier ==
[[bossier11|Eleven note chromatic scale]]
{{See also| No-threes subgroup temperaments #Bossier }}
[[bossier14|Fourteen note mega chromatic scale]]


=Radon=
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
Subgroup: 2.3.7.11
Commas: 896/891, 1029/1024
Sval name: 5&amp;36
Related temperament: [[Gamelismic clan|Rodan]]


POTE generator: ~8/7 = 234.381
Scales:  
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


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


[[radon5|Five note haplotonic scale]]
Scales:
[[radon11|Eleven note albitonic scale]]
* [[Penta5]] – 5-tone haplotonic scale
[[radon16|Sixteen note chromatic scale]]
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


=Myna=  
== Bluebirds ==
Group: 2.3.5.7
{{See also| No-threes subgroup temperaments #Bluebirds }}
Commas: 126/125, 1728/1715
Val name: 4&amp;27


POTE generator: ~6/5 = 310.146
Scales:  
* [[Bluebirds6]] – 6-tone haplotonic scale
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
== Marveltri ==
EDOs: 4, 27, 31, 58, 89
{{See also| Subgroup temperaments #Marveltri }}
Error: 3.310 cents


[[myna7|Seven note albitonic scale]]
Scales:
[[myna11|Eleven note chromatic scale]]
* [[Marveltri7]] – 7-tone albitonic scale
[[myna15|Fifteen note mega chromatic scale]]
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


=Silver=  
== Edson ==
Subgroup: 2.5.7.13.17
{{See also| Subgroup temperaments #Edson }}
Commas: 170/169, 640/637, 5525/5488
Sval name: 10&amp;27


POTE generator: ~13/8 = 842.711
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 5 4 4 2|, &lt;0 -9 -4 -1 7|]
== Photia ==
EDOs: 7, 10, 17, 27, 37, 47, 84, 131
{{See also| Schismatic family #Photia (2.3.5.17) }}
Error: 3.437


[[silver7|Seven note haplotonic scale]]
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
[[silver10|Ten note albitonic scale]]
[[silver17|Seventeen note chromatic scale]]


=Meantone=
Scales:
Group: 2.3.5.7
* [[Photia7]] – 7-tone albitonic scale
Commas: 81/80, 126/125
* [[Photia12]] – 12-tone chromatic scale
Val name: 12&amp;19


POTE generator: 696.495
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
EDOs: 5, 7, 12, 19, 31, 81, 112, 143
Error: 3.585


[[meantone5|Five note haplotonic scale]]
Scales:
[[meantone7|Seven note albitonic scale]]
* [[Shoe5]] – 5-tone mini-haplotonic scale
[[meantone12|Twelve note chromatic scale]]
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


=Indium=  
== Roulette ==
Subgroup: 2.5/3.7/3.11/3
{{See also | Hemimean clan #Roulette }}
Commas: 3025/3024, 3125/3087
Sval name: 8&amp;33


POTE generator: ~12/11 = 147.159
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]


Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
Scales:  
EDOs: 33, 41, 49, 57, 106, 204, 253
* [[Roulette6]] – 6-tone haplotonic scale
Error: 3.968 cents
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


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


=Magic=
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
Group: 2.3.5.7.11
Commas: 100/99, 225/224, 245/243
Val name: 19&amp;22


POTE generator: ~5/4 = 380.696
Scales:  
* [[Silver7]] – 7-tone haplotonic scale
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
== Baldy ==
EDOs: 19, 22, 41, 104, 145
{{See also| Subgroup temperaments #Baldy }}
Error: 4.489


[[magic7|Seven note haplotonic scale]]
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
[[magic10|Ten note albitonic scale]]
[[magic13|Thirteen note chromatic scale]]
[[magic16|Sixteen note mega chromatic scale]]


=Hemif=
Scales
Subgroup: 2.3.7.11.13
* [[Baldy6]] – 6-tone haplotonic scale
Commas: 144/143, 243/242, 364/363
* [[Baldy11]] – 11-tone albitonic scale
Related temperament: [[Breedsmic temperaments|Hemififths]]
* [[Baldy17]] – 17-tone chromatic scale


POTE generator: ~11/9 = 351.691


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


[[hemif7|Seven note haplotonic scale]]
Scales:
[[hemif10|Ten note albitonic scale]]
* [[Guanyintet5]] – 5-tone haplotonic scale
[[hemif17|Seventeen note chromatic scale]]
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


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


POTE generator: ~9/7 = 425.244
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
* [[Radon5]] – 5-tone haplotonic scale
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
* [[Radon11]] 11-tone albitonic scale
Error: 4.942 cents
* [[Radon16]] – 16-tone chromatic scale


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


=Sensi=
Scales:
Group: 2.3.5.7
* [[Gariberttet5]] – 5-tone haplotonic scale
Commas: 126/126, 245/243
* [[Gariberttet9]] – 9-tone albitonic scale
Val name: 19&amp;27
* [[Gariberttet13]] – 13-tone chromatic scale


POTE generator: ~9/7 = 443.383
== Namo ==
{{See also| Rastmic clan #Namo }}


Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
Scales:  
EDOs: 5, 8, 11, 19, 27, 46
* [[Namo7]] – 7-tone haplotonic scale
Error: 5.019
* [[Namo10]] – 10-tone albitonic scale
* [[Namo17]] – 17-tone chromatic scale


[[sensi5|Five note haplotonic scale]]
== Sentry ==
[[sensi8|Eight note albitonic scale]]
{{See also | Subgroup temperaments #Sentry }}
[[sensi11|Eleven note mega albitonic scale]]
[[sensi19|Nineteen note chromatic scale]]


=Greeley=
Scales:
Subgroup: 2.5/3.7/3.11/3
* [[Sentry5]] – 5-tone haplotonic scale
Commas: 121/120, 126/125
* [[Sentry8]] – 8-tone albitonic scale
* [[Sentry11]] – 11-tone chromatic scale


POTE generator: ~11/10 = 156.055
== Hemif ==
{{See also| No-fives subgroup temperaments #Hemif }}


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]
EDOs: 8, 15, 23, 77, 100
Error: 5.404 cents


[[greeley8|Eight note albitonic scale]]
Scales:
[[greeley15|Fifteen note chromatic scale]]
* [[Hemif7]] – 7-tone haplotonic scale
* [[Hemif10]] – 10-tone albitonic scale
* [[Hemif17]] – 17-tone chromatic scale


=Semidim=  
== Garibaldi ==
Subgroup: 2.5/3.7/3.11/3.13/3
{{Main| Garibaldi temperament }}
Commas: 121/120, 169/168, 275/273
{{See also| Schismatic family #Garibaldi }}
Sval name: 8&amp;29


POTE generator: ~13/10 = 453.190
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]


Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
Scales:  
EDOs: 5, 8, 13, 21, 29, 37, 45
* [[Garibaldi12]] – 12-tone albitonic scale
Error: 5.433 cents
* [[Garibaldi17]] – 17-tone chromatic scale


[[semidim8|Eight note albitonic scale]]
== Mabilic ==
[[semidim13|Thirteen note chromatic scale]]
{{See also| No-threes subgroup temperaments #Mabilic }}


=Orwell=
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
Group: 2.3.5.7.11
Commas: 99/98, 121/120, 176/175
Val name: 9&amp;22


POTE generator: ~7/6 = 271.426
Scales:  
* [[Mabilic7]] – 7-tone haplotonic scale
* [[Mabilic9]] – 9-tone albitonic scale
* [[Mabilic16]] – 16-tone chromatic scale


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


[[orwell5|Five note haplotonic scale]]
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
[[orwell9|Nine note albitonic scale]]
[[orwell13|Thirteen note chromatic scale]]


=Mohaha=
Scales:  
Subgroup: 2.3.5.11
* [[Indium8]] – 8-tone albitonic scale
Commas: 81/80, 121/120
* [[Indium17]] – 17-tone chromatic scale
Related temperament: [[Meantone family|mohajira]]


POTE generator: ~11/9 = 348.094
; Music
* ''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]


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
== Starlingtet ==
EDOs: 7, 10, 17, 24, 31, 131
{{See also | Subgroup temperaments #Starlingtet }}
Error: 6.733 cents


[[mohaha7|Seven note albitonic scale]]
Scales:
[[mohaha10|Ten note chromatic scale]]
* [[Starlingtet4]] – 4-tone haplotonic scale
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale


==Mohoho==  
== Lovecraft ==
Subgroup: 2.3.5.11.13
{{See also | No-threes subgroup temperaments #Lovecraft }}
Commas: 66/65, 81/80, 121/120


POTE generator: ~11/9 = 348.916
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]


Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
Scales:  
EDOs: 7, 10, 17, 24, 31, 55
* [[Lovecraft5]] – 5-tone haplotonic scale
Error: 9.556 cents
* [[Lovecraft9]] – 9-tone albitonic scale
* [[Lovecraft13]] – 13-tone chromatic scale


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


POTE generator: ~9/8 = 193.937
Scales:  
* [[Blackbirds8]] – 8-tone albitonic scale
* [[Blackbirds12]] – 12-tone chromatic scale
* [[Blackbirds16]] – 16-tone mega-chromatic scale


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


[[tutone6|Six note haplotonic scale]]
Scales:
[[tutone7|Seven note albitonic scale]]
* [[Laz5]] – 5-tone haplotonic scale
[[tutone13|Thirteen note chromatic scale]]
* [[Laz9]] – 9-tone albitonic scale
* [[Laz13]] – 13-tone chromatic scale


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


POTE generator: ~9/8 = 192.500
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
* [[Myna7]] – 7-tone haplotonic scale
Error: 20.338 cents
* [[Myna11]] – 11-tone albitonic scale
* [[Myna15]] – 15-tone chromatic scale


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


=Score=
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
Subgroup: 2.7.11.13
Commas: 343/338, 847/832


POTE generator: ~11/8 = 540.099
Scales:  
* [[Greeley8]] – 8-tone albitonic scale
* [[Greeley15]] – 15-tone chromatic scale


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
; Music
EDOs: 5, 7, 9, 11, 20
* ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15]
Error: 8.052 cents


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


=Supra=
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[Archytas clan|superpyth]]


POTE generator: ~3/2 = 707.192
Scales:  
* [[Ammon8]] – 8-tone albitonic scale
* [[Ammon13]] – 13-tone chromatic scale


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


[[supra7|Seven note albitonic scale]]
Scales:
[[supra12|Twelve note chromatic scale]]
* [[Mothwelltri5]] – 5-tone haplotonic scale
* [[Mothwelltri9]] – 9-tone albitonic scale
* [[Mothwelltri13]] – 13-tone chromatic scale


==Supraphon==  
== Sulis ==
Subgroup: 2.3.7.11.13
{{See also| Subgroup temperaments #Sulis }}
Commas: 64/63, 78/77, 99/98


POTE generator: ~3/2 = 706.137
Scales:  
* [[Sulis7]] – 7-tone haplotonic scale
* [[Sulis10]] – 10-tone albitonic scale
* [[Sulis13]] – 13-tone chromatic scale


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


==Machine==
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
Subgroup: 2.9.7.11
Commas: 64/63, 99/98


POTE generator: ~9/8 = 214.384
Scales:  
* [[Skwares8]] – 8-tone albitonic scale
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale


Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
== Orwell ==
EDOs: 5, 6, 11, 17, 28
{{Main| Orwell }}
Error: 10.100 cents
{{See also| Semicomma family #Orwell }}


[[machine5|Five note haplotonic scale]]
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
[[machine6|Six note albitonic scale]]
[[machine11|Eleven note chromatic scale]]


=Deutone=
Scales:
Subgroup: 2.9.5.7.13
* [[Orwell5]] – 5-tone haplotonic scale
Commas: 65/64, 81/80, 91/90
* [[Orwell9]] – 9-tone albitonic scale
Related temperament: [[Meantone family|meanpop]]
* [[Orwell13]] – 13-tone chromatic scale


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


Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 44, 69
* [[Magicaltet7]] – 7-tone albitonic scale
Error: 12.145 cents
* [[Magicaltet11]] – 11-tone chromatic scale
* [[Magicaltet15]] – 15-tone mega-chromatic scale


[[deutone6|Six note haplotonic scale]]
== Magic ==
[[deutone7|seven note albitonic scale]]
{{Main| Magic }}
[[deutone13|Thirteen note chromatic scale]]
{{See also| Magic family #Magic }}


=Augment=
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
Subgroup: 2.5.7.11
Commas: 56/55, 128/125
Related temperament: [[Augmented family|augmented]]


POTE generator: ~8/7 = 228.275
Scales:  
* [[Magic7]] – 7-tone haplotonic scale
* [[Magic10]] – 10-tone albitonic scale
* [[Magic13]] – 13-tone chromatic scale
* [[Magic16]] – 16-tone mega-chromatic scale


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


[[augment6|Six note haplotonic scale]]
Scales:
[[augment9|Nine note albitonic scale]]
* [[Kiribati13]] – 13-tone chromatic scale
[[augment12|Twelve note chromatic scale]]</pre></div>
* [[Kiribati14]] – 14-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;&lt;!-- ws:start:WikiTextTocRule:68:&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:68 --&gt;&lt;!-- ws:start:WikiTextTocRule:69: --&gt;&lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:69 --&gt;&lt;!-- ws:start:WikiTextTocRule:70: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:70 --&gt;&lt;!-- ws:start:WikiTextTocRule:71: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:71 --&gt;&lt;!-- ws:start:WikiTextTocRule:72: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:72 --&gt;&lt;!-- ws:start:WikiTextTocRule:73: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:73 --&gt;&lt;!-- ws:start:WikiTextTocRule:74: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:74 --&gt;&lt;!-- ws:start:WikiTextTocRule:75: --&gt;&lt;!-- ws:end:WikiTextTocRule:75 --&gt;&lt;!-- ws:start:WikiTextTocRule:76: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:76 --&gt;&lt;!-- ws:start:WikiTextTocRule:77: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:77 --&gt;&lt;!-- ws:start:WikiTextTocRule:78: --&gt; | &lt;a href="#Garibaldi"&gt;Garibaldi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:79 --&gt;&lt;!-- ws:start:WikiTextTocRule:80: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:80 --&gt;&lt;!-- ws:start:WikiTextTocRule:81: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:81 --&gt;&lt;!-- ws:start:WikiTextTocRule:82: --&gt; | &lt;a href="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:82 --&gt;&lt;!-- ws:start:WikiTextTocRule:83: --&gt; | &lt;a href="#Silver"&gt;Silver&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:85 --&gt;&lt;!-- ws:start:WikiTextTocRule:86: --&gt; | &lt;a href="#Magic"&gt;Magic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:86 --&gt;&lt;!-- ws:start:WikiTextTocRule:87: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:87 --&gt;&lt;!-- ws:start:WikiTextTocRule:88: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:88 --&gt;&lt;!-- ws:start:WikiTextTocRule:89: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:89 --&gt;&lt;!-- ws:start:WikiTextTocRule:90: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:90 --&gt;&lt;!-- ws:start:WikiTextTocRule:91: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:91 --&gt;&lt;!-- ws:start:WikiTextTocRule:92: --&gt; | &lt;a href="#Orwell"&gt;Orwell&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:92 --&gt;&lt;!-- ws:start:WikiTextTocRule:93: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:93 --&gt;&lt;!-- ws:start:WikiTextTocRule:94: --&gt;&lt;!-- ws:end:WikiTextTocRule:94 --&gt;&lt;!-- ws:start:WikiTextTocRule:95: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:95 --&gt;&lt;!-- ws:start:WikiTextTocRule:96: --&gt;&lt;!-- ws:end:WikiTextTocRule:96 --&gt;&lt;!-- ws:start:WikiTextTocRule:97: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:97 --&gt;&lt;!-- ws:start:WikiTextTocRule:98: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:98 --&gt;&lt;!-- ws:start:WikiTextTocRule:99: --&gt;&lt;!-- ws:end:WikiTextTocRule:99 --&gt;&lt;!-- ws:start:WikiTextTocRule:100: --&gt;&lt;!-- ws:end:WikiTextTocRule:100 --&gt;&lt;!-- ws:start:WikiTextTocRule:101: --&gt; | &lt;a href="#Deutone"&gt;Deutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:101 --&gt;&lt;!-- ws:start:WikiTextTocRule:102: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:102 --&gt;&lt;!-- ws:start:WikiTextTocRule:103: --&gt;
== Score ==
&lt;!-- ws:end:WikiTextTocRule:103 --&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;
{{See also|No-threes subgroup temperaments #Score }}
&lt;br /&gt;
 
&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;
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
Subgroup: 2.9/5.9/7&lt;br /&gt;
 
Commas: 250047/250000&lt;br /&gt;
Scales:  
Sval name: 6&amp;amp;21&lt;br /&gt;
* [[Score5]] – 5-tone haplotonic scale
Related temperament: &lt;a class="wiki_link" href="/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
* [[Score7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Score9]] – 9-tone mega-albitonic scale
POTE generator: ~10/9 = 182.462&lt;br /&gt;
* [[Score11]] – 11-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
== Sensi ==
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
{{Main| Sensi }}
Error: 0.0443 cents&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
&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;
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/terrain9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/terrain15"&gt;Fifteen note 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: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;
* [[Sensi11]] – 11-tone mega-albitonic scale
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
Commas: 352/351, 676/675&lt;br /&gt;
 
Sval name: 5&amp;amp;24&lt;br /&gt;
=== Sensation ===
Related temperament: &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barabdos&lt;/a&gt;&lt;br /&gt;
{{Main| Sensi }}
&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
POTE generator: ~15/13 = 248.285&lt;br /&gt;
 
&lt;br /&gt;
Scales:
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
Error: 0.8996 cents&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
&lt;a class="wiki_link" href="/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Meantone ==
&lt;br /&gt;
{{Main| Meantone }}
&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;
{{See also| Meantone family #Meantone }}
Subgroup: 2.3.5.13&lt;br /&gt;
 
Commas: 325/324, 625/624&lt;br /&gt;
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
Sval name: 15&amp;amp;19&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Meantone5]] – 5-tone haplotonic scale
POTE generator: ~6/5 = 317.076&lt;br /&gt;
* [[Meantone7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Meantone12]] – 12-tone chromatic scale
Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
 
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246&lt;br /&gt;
== Mohaha ==
Error: 0.9355 cents&lt;br /&gt;
{{See also| Rastmic clan #Mohaha }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
&lt;a class="wiki_link" href="/cata11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:
&lt;a class="wiki_link" href="/cata19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Mohaha7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Mohaha10]] – 10-tone chromatic 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;
 
Subgroup: 2.7/5.11/5.13/5&lt;br /&gt;
Music:  
Commas: 847/845, 1001/1000&lt;br /&gt;
; [[Billy Stiltner]]
Sval name: 5&amp;amp;8&lt;br /&gt;
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
&lt;br /&gt;
 
POTE generator: ~13/10 = 454.461&lt;br /&gt;
=== Mohoho ===
&lt;br /&gt;
{{See also| Rastmic clan #Mohoho }}
Map: [&amp;lt;1 2 0 1|, &amp;lt;0 -4 3 1|]&lt;br /&gt;
 
EDOs: 5, 8, 21, 29, 37, 66, 169, 235&lt;br /&gt;
== Joan ==
Error: 1.057&lt;br /&gt;
{{See also| Subgroup temperaments #Joan }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/Tridec8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/Tridec13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Joan5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Joan7]] – 7-tone albitonic scale
&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;
* [[Joan9]] – 9-tone mega-albitonic scale
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
* [[Joan11]] – 11-tone chromatic scale
Commas: 352/351, 364/363&lt;br /&gt;
 
Sval name: 5&amp;amp;12&lt;br /&gt;
== Tutone ==
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;
{{See also| Hemimean clan #Tutone }}
&lt;br /&gt;
 
POTE generator: ~3/2 = 704.052&lt;br /&gt;
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
Scales:  
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
* [[Tutone6]] – 6-tone haplotonic scale
Error: 1.298 cents&lt;br /&gt;
* [[Tutone7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Tutone13]] – 13-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;
== Stacks ==
&lt;br /&gt;
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
&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;
 
Subgroup: 2.3.5.19&lt;br /&gt;
Scales:  
Commas: 361/360, 513/512&lt;br /&gt;
* [[Stacks5]] – 5-tone haplotonic scale
Sval name: 12&amp;amp;29&lt;br /&gt;
* [[Stacks8]] – 8-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
* [[Stacks11]] – 11-tone chromatic scale
&lt;br /&gt;
* [[Stacks19]] – 19-tone mega-chromatic scale
POTE generator: ~3/2 = 701.746&lt;br /&gt;
 
&lt;br /&gt;
== Bleu ==
Map: [&amp;lt;1 0 15 9|, &amp;lt;0 1 -8 -3|]&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Bleu }}
EDOs: 7, 12, 17, 29, 41, 53, 118, 171&lt;br /&gt;
 
Error: 1.819 cents&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Bleu8]] – 8-tone haplotonic scale
&lt;a class="wiki_link" href="/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Bleu9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Bleu17]] – 17-tone chromatic scale
&lt;br /&gt;
 
&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;
== Sephiroth ==
Subgroup: 2.3.5.17.19&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Sephiroth }}
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;
* [[Sephiroth7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Sephiroth10]] – 10-tone albitonic scale
POTE generator: ~3/2 = 701.470&lt;br /&gt;
* [[Sephiroth13]] – 13-tone chromatic scale
&lt;br /&gt;
* [[Sephiroth16]] – 16-tone mega-chromatic scale
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
 
EDOs: 7, 12, 17, 29, 41, 53, 65&lt;br /&gt;
== Archy ==
Error: 3.457 cents&lt;br /&gt;
{{Main| Superpyth }}
&lt;br /&gt;
{{See also| Archytas clan #Archy }}
&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;
* [[Archy5]] – 5-tone haplotonic 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;
* [[Archy7]] – 7-tone albitonic scale
Subgroup: 2.5.7.13&lt;br /&gt;
* [[Archy12]] – 12-tone chromatic scale
Commas: 640/637, 10985/10976&lt;br /&gt;
 
Sval name: 10&amp;amp;27&lt;br /&gt;
=== Supra ===
&lt;br /&gt;
{{Main| Superpyth }}
POTE generator: ~16/13 = 357.002&lt;br /&gt;
{{See also| Archytas clan #Supra }}
&lt;br /&gt;
 
Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]
EDOs: 7, 10, 17, 27, 37, 84, 121, 400&lt;br /&gt;
 
Error: 2.1001 cents&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Supra7]] – 7-tone [[albitonic scale]]
&lt;a class="wiki_link" href="/huntington7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Supra12]] – 12-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;
=== Supraphon ===
&lt;br /&gt;
{{Main| Superpyth }}
&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| Archytas clan #Supraphon }}
Subgroup: 2.5.7.11.13&lt;br /&gt;
 
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
== Suhajira ==
Sval name: 6&amp;amp;25&lt;br /&gt;
{{See also| Archytas clan #Suhajira }}
Related temperament: &lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~28/25 = 194.594&lt;br /&gt;
* [[Suhajira7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Suhajira10]] – 10-tone albitonic scale
Map: [&amp;lt;1 0 -3 -7 13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
* [[Suhajira17]] – 17-tone chromatic scale
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
 
Error: 2.555 cents&lt;br /&gt;
== Machine ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Machine}}
&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;
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
&lt;a class="wiki_link" href="/roulette13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/roulette19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Machine5]] – 5-tone haplotonic scale
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Garibaldi&lt;/h1&gt;
* [[Machine6]] – 6-tone albitonic scale
Group: 2.3.5.7&lt;br /&gt;
* [[Machine11]] – 11-tone chromatic scale
Commas: 225/224, 3125/3087&lt;br /&gt;
 
Val name: 12&amp;amp;29&lt;br /&gt;
== Deutone ==
&lt;br /&gt;
{{See also| Hemimean clan #Deutone }}
POTE generator: ~3/2 = 702.085&lt;br /&gt;
 
&lt;br /&gt;
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]
Map: [&amp;lt;1 0 15 25|, &amp;lt;0 1 -8 -14|]&lt;br /&gt;
 
EDOs: 7, 12, 17, 29, 41, 53, 94&lt;br /&gt;
Scales:  
Error: 2.834&lt;br /&gt;
* [[Deutone6]] – 6-tone haplotonic scale
&lt;br /&gt;
* [[Deutone7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/garibaldi12"&gt;Twelve note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Deutone13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/garibaldi17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Negra ==
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Baldy&lt;/h1&gt;
{{Main| Negri }}
Subgroup: 2.9.5.7.13&lt;br /&gt;
{{See also| Marvel temperaments #Negri }}
Commas: 225/224, 325/324, 640/637&lt;br /&gt;
 
Sval name: 6&amp;amp;35&lt;br /&gt;
== Porkypine ==
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
{{Main| Porcupine }}
&lt;br /&gt;
{{See also| Porcupine family #Porcupine }}
POTE generator: ~9/8 = 204.090&lt;br /&gt;
 
&lt;br /&gt;
Scales:
Map: [&amp;lt;1 0 15 25 -28|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
* [[Porkypine7]] – 7-tone haplotonic scale
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147&lt;br /&gt;
* [[Porkypine8]] – 8-tone albitonic scale
Error: 2.617 cents&lt;br /&gt;
* [[Porkypine15]] – 15-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/baldy6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
== Skateboard ==
&lt;a class="wiki_link" href="/baldy11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Skateboard }}
&lt;a class="wiki_link" href="/baldy17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Bossier"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Bossier&lt;/h1&gt;
* [[Skateboard7]] – 7-tone haplotonic scale
Subgroup: 2.7.11.13&lt;br /&gt;
* [[Skateboard11]] – 11-tone albitonic scale
Commas: 1573/1569, 15488/15379&lt;br /&gt;
* [[Skateboard15]] – 15-tone chromatic scale
Sval name: 3&amp;amp;17&lt;br /&gt;
 
&lt;br /&gt;
== Augment ==
POTE generator: ~14/11 = 421.309&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Augment }}
&lt;br /&gt;
 
Map: [&amp;lt;1 0 1 3|, &amp;lt;0 8 7 2|]&lt;br /&gt;
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]
EDOs: 17, 20, 37, 57, 94, 225&lt;br /&gt;
 
Error: 2.665 cents&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Augment6]] – 6-tone haplotonic scale
&lt;a class="wiki_link" href="/bossier8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Augment9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="/bossier11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Augment12]] – 12-tone chromatic scale
&lt;a class="wiki_link" href="/bossier14"&gt;Fourteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Semaphore ==
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Radon&lt;/h1&gt;
{{Main| Semaphore and godzilla }}
Subgroup: 2.3.7.11&lt;br /&gt;
{{See also| Semaphoresmic clan #Semaphore }}
Commas: 896/891, 1029/1024&lt;br /&gt;
 
Sval name: 5&amp;amp;36&lt;br /&gt;
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:
POTE generator: ~8/7 = 234.381&lt;br /&gt;
* [[Semaphore5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Semaphore9]] – 9-tone albitonic scale
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
* [[Semaphore14]] – 14-tone chromatic scale
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
 
Error: 2.925 cents&lt;br /&gt;
== Kryptonite ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Kryptonite }}
&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;
* [[Kryptonite9]] – 9-tone albitonic scale
&lt;br /&gt;
* [[Kryptonite10]] – 10-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Myna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Myna&lt;/h1&gt;
* [[Kryptonite19]] – 19-tone mega-chromatic scale
Group: 2.3.5.7&lt;br /&gt;
 
Commas: 126/125, 1728/1715&lt;br /&gt;
== Oregon ==
Val name: 4&amp;amp;27&lt;br /&gt;
{{See also| Orgonia #Oregon }}
&lt;br /&gt;
 
POTE generator: ~6/5 = 310.146&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Oregon7]] – 7-tone haplotonic scale
Map: [&amp;lt;1 9 9 8|, &amp;lt;0 -10 -9 -7|]&lt;br /&gt;
* [[Oregon11]] – 11-tone albitonic scale
EDOs: 4, 27, 31, 58, 89&lt;br /&gt;
* [[Oregon15]] – 15-tone chromatic scale
Error: 3.310 cents&lt;br /&gt;
 
&lt;br /&gt;
== Antikythera ==
&lt;a class="wiki_link" href="/myna7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Jubilismic clan #Antikythera }}
&lt;a class="wiki_link" href="/myna11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/myna15"&gt;Fifteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Silver"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Silver&lt;/h1&gt;
Scales:  
Subgroup: 2.5.7.13.17&lt;br /&gt;
* [[Antikythera6]] – 6-tone haplotonic scale
Commas: 170/169, 640/637, 5525/5488&lt;br /&gt;
* [[Antikythera10]] – 10-tone albitonic scale
Sval name: 10&amp;amp;27&lt;br /&gt;
* [[Antikythera16]] – 16-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~13/8 = 842.711&lt;br /&gt;
== Glacial ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Glacial }}
Map: [&amp;lt;1 5 4 4 2|, &amp;lt;0 -9 -4 -1 7|]&lt;br /&gt;
 
EDOs: 7, 10, 17, 27, 37, 47, 84, 131&lt;br /&gt;
Scales:  
Error: 3.437&lt;br /&gt;
* [[Glacial6]] – 6-tone haplotonic scale
&lt;br /&gt;
* [[Glacial7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/silver7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Glacial13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/silver10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/silver17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Leantone ==
&lt;br /&gt;
{{See also| Hemimean clan #Leantone }}
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Meantone&lt;/h1&gt;
 
Group: 2.3.5.7&lt;br /&gt;
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
Commas: 81/80, 126/125&lt;br /&gt;
 
Val name: 12&amp;amp;19&lt;br /&gt;
Scales:
&lt;br /&gt;
* [[Leantone6]] – 6-tone haplotonic scale
POTE generator: 696.495&lt;br /&gt;
* [[Leantone7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Leantone13]] – 13-tone chromatic scale
Map: [&amp;lt;1 0 -4 -13|, &amp;lt;0 1 4 10|]&lt;br /&gt;
 
EDOs: 5, 7, 12, 19, 31, 81, 112, 143&lt;br /&gt;
== Notes ==
Error: 3.585&lt;br /&gt;
 
&lt;br /&gt;
[[Category:Lists of scales]]
&lt;a class="wiki_link" href="/meantone5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
[[Category:Tempered scales| ]]
&lt;a class="wiki_link" href="/meantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[Category:Listen]]
&lt;a class="wiki_link" href="/meantone12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
[[Category:Rank 2]]
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Indium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Indium&lt;/h1&gt;
{{todo|cleanup}}
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Commas: 3025/3024, 3125/3087&lt;br /&gt;
Sval name: 8&amp;amp;33&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 147.159&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 2|, &amp;lt;0 6 10 -1|]&lt;br /&gt;
EDOs: 33, 41, 49, 57, 106, 204, 253&lt;br /&gt;
Error: 3.968 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/indium8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/indium17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Magic&lt;/h1&gt;
Group: 2.3.5.7.11&lt;br /&gt;
Commas: 100/99, 225/224, 245/243&lt;br /&gt;
Val name: 19&amp;amp;22&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~5/4 = 380.696&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&lt;br /&gt;
EDOs: 19, 22, 41, 104, 145&lt;br /&gt;
Error: 4.489&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/magic7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/magic10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/magic13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/magic16"&gt;Sixteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Hemif&lt;/h1&gt;
Subgroup: 2.3.7.11.13&lt;br /&gt;
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/9 = 351.691&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
Error: 4.867 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/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;
&lt;a class="wiki_link" href="/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Skwares&lt;/h1&gt;
Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 99/98, 243/242&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 425.244&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206&lt;br /&gt;
Error: 4.942 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/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;
&lt;a class="wiki_link" href="/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc20"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Sensi&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 126/126, 245/243&lt;br /&gt;
Val name: 19&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 443.383&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11|, &amp;lt;0 -7 -9 -13|]&lt;br /&gt;
EDOs: 5, 8, 11, 19, 27, 46&lt;br /&gt;
Error: 5.019&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/sensi5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/sensi8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/sensi11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/sensi19"&gt;Nineteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Greeley&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Commas: 121/120, 126/125&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/10 = 156.055&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
EDOs: 8, 15, 23, 77, 100&lt;br /&gt;
Error: 5.404 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Semidim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Semidim&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11/3.13/3&lt;br /&gt;
Commas: 121/120, 169/168, 275/273&lt;br /&gt;
Sval name: 8&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/10 = 453.190&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 5 3 4|, &amp;lt;0 -6 -10 -3 -5|]&lt;br /&gt;
EDOs: 5, 8, 13, 21, 29, 37, 45&lt;br /&gt;
Error: 5.433 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/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;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Orwell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;Orwell&lt;/h1&gt;
Group: 2.3.5.7.11&lt;br /&gt;
Commas: 99/98, 121/120, 176/175&lt;br /&gt;
Val name: 9&amp;amp;22&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~7/6 = 271.426&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 3 1 3|, &amp;lt;0 7 -3 8 2|]&lt;br /&gt;
EDOs: 9, 22, 31, 53, 84&lt;br /&gt;
Error: 5.584&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/orwell5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/orwell9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/orwell13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;Mohaha&lt;/h1&gt;
Subgroup: 2.3.5.11&lt;br /&gt;
Commas: 81/80, 121/120&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/9 = 348.094&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
EDOs: 7, 10, 17, 24, 31, 131&lt;br /&gt;
Error: 6.733 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/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;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc25"&gt;&lt;a name="Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Mohoho&lt;/h2&gt;
Subgroup: 2.3.5.11.13&lt;br /&gt;
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/9 = 348.916&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 24, 31, 55&lt;br /&gt;
Error: 9.556 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;Tutone&lt;/h1&gt;
Subgroup: 2.9.5.7.11&lt;br /&gt;
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 193.937&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 31, 99&lt;br /&gt;
Error: 7.047 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/tutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&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;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc27"&gt;&lt;a name="Tutone-Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;Leantone&lt;/h2&gt;
Subgroup: 2.9.5.7.11&lt;br /&gt;
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 192.500&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 -6|, &amp;lt;0 1 2 5 3|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 31, 56, 81&lt;br /&gt;
Error: 20.338 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/leantone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/leantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/leantone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;Score&lt;/h1&gt;
Subgroup: 2.7.11.13&lt;br /&gt;
Commas: 343/338, 847/832&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 540.099&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 1|, &amp;lt;0 4 1 6|]&lt;br /&gt;
EDOs: 5, 7, 9, 11, 20&lt;br /&gt;
Error: 8.052 cents&lt;br /&gt;
&lt;br /&gt;
&lt;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;
&lt;a class="wiki_link" href="/score9"&gt;Nine note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/score11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:58:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:58 --&gt;Supra&lt;/h1&gt;
Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 64/63, 99/98&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 707.192&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
EDOs: 5, 7, 12, 17, 22, 39, 56&lt;br /&gt;
Error: 9.795 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:60:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc30"&gt;&lt;a name="Supra-Supraphon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&gt;Supraphon&lt;/h2&gt;
Subgroup: 2.3.7.11.13&lt;br /&gt;
Commas: 64/63, 78/77, 99/98&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 706.137&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 6 13 18|, &amp;lt;0 1 -2 -6 -9|]&lt;br /&gt;
EDOs: 5, 7, 12, 17&lt;br /&gt;
Error: 10.534 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc31"&gt;&lt;a name="Supra-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:62 --&gt;Machine&lt;/h2&gt;
Subgroup: 2.9.7.11&lt;br /&gt;
Commas: 64/63, 99/98&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 214.384&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -1 -3|]&lt;br /&gt;
EDOs: 5, 6, 11, 17, 28&lt;br /&gt;
Error: 10.100 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/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:64:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Deutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:64 --&gt;Deutone&lt;/h1&gt;
Subgroup: 2.9.5.7.13&lt;br /&gt;
Commas: 65/64, 81/80, 91/90&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;meanpop&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 191.059&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 10|, &amp;lt;0 1 2 5 -2|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 44, 69&lt;br /&gt;
Error: 12.145 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/deutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/deutone7"&gt;seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/deutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:66:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:66 --&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 = 228.275&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;3 7 0 2|, &amp;lt;0 0 1 1|]&lt;br /&gt;
EDOs: 3, 6, 9, 15, 21&lt;br /&gt;
Error: 12.830 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/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>

Latest revision as of 00:23, 24 June 2025

A chromatic pair is a pair of mos scales in some rank-2 temperament (either a full p-limit temperament or a subgroup temperament) that are analogous to the familiar 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.

In the sections below, the pair temperaments are listed in order of increasing RMS error, which is an appropriate error measure for subgroups as well as full p-limit groups.

Terrain

terrain_3558edo.png
Terrain in 3558edo

Scales:

Music

Petrtri

petrtri_385edo.png
Petrtri in 385edo

Scales:

Barton

"Barton" redirects here. For Jacob Barton's scale, see Barton (scale).

Scales:

  • Barton5 – 5-tone haplotonic scale
  • Barton7 – 7-tone albitonic scale
  • Barton9 – 9-tone mega-albitonic scale
  • Barton11 – 11-tone chromatic scale
  • Barton13 – 13-tone mega-chromatic scale

Tridec

tridec_235edo.png
Tridec in 235edo

Scales:

Nestoria

nestoria_171edo.png
Nestoria in 171edo

Scales:

Orgone

orgone_308edo.jpg
Orgone in 308edo

Scales:

Marveltwintri

marveltwintri_321edo.png
Marveltwintri in 321edo

Scales:

Cata

cata_246edo.jpg
Cata in 246edo

Scales:

  • Cata7 – 7-tone albitonic scale
  • Cata11 – 11-tone mega-albitonic scale
  • Cata15 – 15-tone chromatic scale
  • Cata19 – 19-tone mega-chromatic scale

Bridgetown

bridgetown_29edo.png
Bridgetown in 29edo

Scales:

Music

Haumea

Scales:

Neutral

neutral_380edo.png
Neutral in 380edo

Scales:

Music

Slendric

See also: Gamelismic clan #Slendric and No-fives subgroup temperaments #Slendric
slendric_190edo.jpg
Slendric in 190edo

Scales:

Huntington

huntington_400edo.jpg
Huntington in 400edo

Scales:

Tobago

Scales:

Pepperoni

pepperoni_271edo.png
Pepperoni in 271edo

Scales:

Wizz

Scales:

  • Wizz6 – 6-tone haplotonic scale
  • Wizz10 – 10-tone albitonic scale
  • Wizz16 – 16-tone chromatic scale

Bossier

bossier_225edo.jpg
Bossier in 225edo

Scales:

Penta a.k.a. mechanism

Scales:

  • Penta5 – 5-tone haplotonic scale
  • Penta8 – 8-tone albitonic scale
  • Penta11 – 11-tone chromatic scale
  • Penta19 – 19-tone mega-chromatic scale

Bluebirds

Scales:

Marveltri

Scales:

Edson

Scales:

  • Edson5 – 5-tone haplotonic scale
  • Edson7 – 7-tone albitonic scale
  • Edson12 – 12-tone chromatic scale
  • Edson17 – 17-tone mega-chromatic scale

Photia

photia_65edo.png
Photia in 65edo

Scales:

Shoe a.k.a. llywelyn

shoe_37edo.jpg
Shoe in 37edo

Scales:

  • Shoe5 – 5-tone mini-haplotonic scale
  • Shoe6 – 6-tone haplotonic scale
  • Shoe11 – 11-tone albitonic scale
  • Shoe16 – 16-tone chromatic scale

Roulette

roulette_37edo.jpg
Roulette in 37edo

Scales:

Silver

silver_487edo.jpg
Silver in 487edo

Scales:

Baldy

baldy_147edo.jpg
Baldy in 147edo

Scales

  • Baldy6 – 6-tone haplotonic scale
  • Baldy11 – 11-tone albitonic scale
  • Baldy17 – 17-tone chromatic scale


Guanyintet

Scales:

Radon

radon_128edo.jpg
Radon in 128edo
  • Radon5 – 5-tone haplotonic scale
  • Radon11 – 11-tone albitonic scale
  • Radon16 – 16-tone chromatic scale

Gariberttet

Scales:

Namo

Scales:

  • Namo7 – 7-tone haplotonic scale
  • Namo10 – 10-tone albitonic scale
  • Namo17 – 17-tone chromatic scale

Sentry

Scales:

Hemif

hemif_58edo.jpg
Hemif in 58edo

Scales:

  • Hemif7 – 7-tone haplotonic scale
  • Hemif10 – 10-tone albitonic scale
  • Hemif17 – 17-tone chromatic scale

Garibaldi

garibaldi_94edo.png
Garibaldi in 94edo

Scales:

Mabilic

mabila_66edo.jpg
Mabilic in 66edo

Scales:

Indium

indium_253edo.png
Indium in 253edo

Scales:

Music

Starlingtet

Scales:

Lovecraft

lovecraft_116edo.png
Lovecraft in 116edo

Scales:

Blackbirds

Scales:

Laz

Scales:

  • Laz5 – 5-tone haplotonic scale
  • Laz9 – 9-tone albitonic scale
  • Laz13 – 13-tone chromatic scale

Myna

myna_89edo.jpg
Myna in 89edo

Scales:

  • Myna7 – 7-tone haplotonic scale
  • Myna11 – 11-tone albitonic scale
  • Myna15 – 15-tone chromatic scale

Greeley

greeley_100edo.png
Greeley in 100edo

Scales:

Music

Ammon

semidim_770edo.png
Ammon in 770edo

Scales:

  • Ammon8 – 8-tone albitonic scale
  • Ammon13 – 13-tone chromatic scale

Mothwelltri

Scales:

Sulis

Scales:

  • Sulis7 – 7-tone haplotonic scale
  • Sulis10 – 10-tone albitonic scale
  • Sulis13 – 13-tone chromatic scale

Skwares

skwares_206edo.png
Skwares in 206edo

Scales:

Orwell

orwell_84edo.png
Orwell in 84edo

Scales:

Magicaltet

Scales:

Magic

magic_145edo.jpg
Magic in 145edo

Scales:

  • Magic7 – 7-tone haplotonic scale
  • Magic10 – 10-tone albitonic scale
  • Magic13 – 13-tone chromatic scale
  • Magic16 – 16-tone mega-chromatic scale

Kiribati

Scales:

Score

score_20edo.jpg
Score in 20edo

Scales:

  • Score5 – 5-tone haplotonic scale
  • Score7 – 7-tone albitonic scale
  • Score9 – 9-tone mega-albitonic scale
  • Score11 – 11-tone chromatic scale

Sensi

sensi_46edo.jpg
Sensi in 46edo

Scales:

  • Sensi5 – 5-tone haplotonic scale
  • Sensi8 – 8-tone albitonic scale
  • Sensi11 – 11-tone mega-albitonic scale
  • Sensi19 – 19-tone chromatic scale

Sensation

Scales:

  • Sensi5 – 5-tone haplotonic scale
  • Sensi8 – 8-tone albitonic scale
  • Sensi11 – 11-tone mega-albitonic scale
  • Sensi19 – 19-tone chromatic scale

Meantone

meantone_31edo.jpg
Meantone in 31edo

Scales:

Mohaha

mohaha_131edo.png
Mohaha in 131edo

Scales:

Music:

Billy Stiltner

Mohoho

Joan

Scales:

  • Joan5 – 5-tone haplotonic scale
  • Joan7 – 7-tone albitonic scale
  • Joan9 – 9-tone mega-albitonic scale
  • Joan11 – 11-tone chromatic scale

Tutone

tutone_99edo.png
Tutone in 99edo

Scales:

Stacks

Scales:

Bleu

Scales:

  • Bleu8 – 8-tone haplotonic scale
  • Bleu9 – 9-tone albitonic scale
  • Bleu17 – 17-tone chromatic scale

Sephiroth

Scales:

Archy

Scales:

  • Archy5 – 5-tone haplotonic scale
  • Archy7 – 7-tone albitonic scale
  • Archy12 – 12-tone chromatic scale

Supra

supra_56edo.png
Supra in 56edo

Scales:

Supraphon

Suhajira

Scales:

Machine

machine_28edo.png
Machine in 28edo

Scales:

Deutone

deutone_44edo.png
Deutone in 44edo

Scales:

Negra

Porkypine

Scales:

Skateboard

Scales:

Augment

augment_21edo.png
Augment in 21edo

Scales:

Semaphore

semaphore_24edo.png
Semaphore in 24edo

Scales:

Kryptonite

Scales:

Oregon

Scales:

Antikythera

antikythera_28edo.png
Antikythera in 28edo

Scales:

Glacial

Scales:

Leantone

leantone_81edo.png
Leantone in 81edo

Scales:

Notes