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.
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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]]


In the sections below, the pair temperaments are listed in order of increasing [[Tp tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full ''p''-limit groups.


By a //chromatic pair// is meant a pair of 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 ==
{{See also| Subgroup temperaments #Terrain }}


=Terrain=
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]
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
Scales:  
* [[Terrain9]] – 9-tone albitonic scale
* [[Terrain15]] – 15-tone chromatic scale


Map: [&lt;3 0 -4|, &lt;0 1 2|]
; Music
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
* ''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]
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.
== Petrtri ==
{{See also| Subgroup temperaments #Petrtri }}


[[terrain9|Nine note albitonic scale]]
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]
[[terrain15|Fifteen note chromatic scale]]


=Bridgetown=
Scales:
Subgroup: 2.3.11/5.13/5
* [[Petrtri5]] – 5-tone haplotonic scale
Commas: 352/351, 676/675
* [[Petrtri8]] – 8-tone albitonic scale
Sval name: 5&amp;24
* [[Petrtri13]] – 13-tone chromatic scale
Related temperament: [[The Archipelago|barabdos]]


POTE generator: ~15/13 = 248.285
== Barton ==
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
{{See also| The Jacobins #Barton }}


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
Scales:  
EDOs: 5, 9, 14, 19, 24, 29
* [[Barton5]] – 5-tone haplotonic scale
Error: 0.8996 cents
* [[Barton7]] – 7-tone albitonic scale
* [[Barton9]] – 9-tone mega-albitonic scale
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


[[bridgetown9|Nine note albitonic scale]]
== Tridec ==
[[bridgetown14|Fourteen note chromatic scale]]
{{See also| Subgroup temperaments #Tridec }}


=Cata=
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
Subgroup: 2.3.5.13
Commas: 325/324, 625/624
Sval name: 15&amp;19
Related temperament: [[Kleismic family|catakleismic]]


POTE generator: ~6/5 = 317.076
Scales:  
* [[Tridec8]] – 8-tone albitonic scale
* [[Tridec13]] – 13-tone chromatic scale


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
== Nestoria ==
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
Error: 0.9355 cents


[[cata7|Seven note albitonic scale]]
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]
[[cata11|Eleven note mega albitonic scale]]
[[cata15|Fifteen note chromatic scale]]
[[cata19|Nineteen note mega chromatic scale]]


=Tridec=
Scales:
Subgroup: 2.7/5.11/5.13/5
* [[Nestoria7]] – 7-tone albitonic scale
Commas: 847/845, 1001/1000
* [[Nestoria12]] – 12-tone chromatic scale
Sval name: 5&amp;8
* [[Nestoria17]] – 17-tone mega chromatic scale


POTE generator: ~13/10 = 454.461
== Orgone ==
{{Main| Orgone }}
{{See also| Orgonia #Orgone }}


Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
EDOs: 5, 8, 21, 29, 37, 66, 169, 235
Error: 1.057


[[Tridec8|Eight note albitonic scale]]
Scales:
[[Tridec13|Thirteen note chromatic scale]]
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


=Pepperoni=  
== Marveltwintri ==
Subgroup: 2.3.11/7.13/7
{{See also| Subgroup temperaments #Marveltwintri }}
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
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
Scales:  
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
* [[Marveltwintri7]] – 7-tone albitonic scale
Error: 1.298 cents
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


[[pepperoni7|Seven note albitonic scale]]
== Cata ==
[[pepperoni12|Twelve note chromatic scale]]
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}


=Nestoria=
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
Subgroup: 2.3.5.19
Commas: 361/360, 513/512
Sval name: 12&amp;29
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.746
Scales:  
* [[Cata7]] – 7-tone albitonic scale
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]
== Bridgetown ==
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
{{See also| Subgroup temperaments #Bridgetown }}
Error: 1.819 cents


[[nestoria7|Seven note albitonic scale]]
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
[[nestoria12|Twelve note chromatic scale]]


==Photia==
Scales:  
Subgroup 2.3.5.17.19
* [[Bridgetown9]] – 9-tone albitonic scale
Commas: 171/170, 256/255, 324/323
* [[Bridgetown14]] – 14-tone chromatic scale
Sval name: 12&amp;41
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.470
; Music
* [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]]
* ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
== Haumea ==
EDOs: 7, 12, 17, 29, 41, 53, 65
{{See also| Subgroup temperaments #Haumea }}
Error: 3.457 cents


[[photia7|Seven note albitonic scale]]
Scales:
[[photia12|Twelve note chromatic scale]]
* [[Haumea5]] – 5-tone haplotonic scale
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


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


POTE generator: ~16/13 = 357.002
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
Scales:  
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
* [[Neutral7]] – 7-tone albitonic scale
Error: 2.1001 cents
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] 17-tone mega-chromatic scale


[[huntington7|Seven note haplotonic scale]]
; Music
[[huntington10|Ten note albitonic scale]]
* [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
[[huntington17|Seventeen note chromatic scale]]


=Roulette=  
== Slendric ==
Subgroup: 2.5.7.11.13
{{Main| Slendric }}
Commas: 176/175, 1375/1372, 640/637
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''
Sval name: 6&amp;25
Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]


POTE generator: ~28/25 = 194.594
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]


Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 37
* [[Slendric5]] – 5-tone haplotonic scale
Error: 2.555 cents
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


[[roulette6|Six note haplotonic scale]]
== Huntington ==
[[roulette7|Seven note albitonic scale]]
{{See also| No-threes subgroup temperaments #Huntington }}
[[roulette13|Thirteen note chromatic scale]]
[[roulette19|Nineteen note mega chromatic scale]]


=Garibaldi=
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
Group: 2.3.5.7
Commas: 225/224, 3125/3087
Val name: 12&amp;29


POTE generator: ~3/2 = 702.085
Scales:  
* [[Huntington7]] – 7-tone haplotonic scale
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
== Tobago ==
EDOs: 7, 12, 17, 29, 41, 53, 94
{{See also| Subgroup temperaments #Tobago }}
Error: 2.834


[[garibaldi12|Twelve note albitonic scale]]
Scales:
[[garibaldi17|Seventeen note chromatic scale]]
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


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


POTE generator: ~9/8 = 204.090
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]


Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]
Scales:  
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
* [[Pepperoni7]] – 7-tone albitonic scale
Error: 2.617 cents
* [[Pepperoni12]] – 12-tone chromatic scale


[[baldy6|Six note haplotonic scale]]
== Wizz ==
[[baldy11|Eleven note albitonic scale]]
{{See also| No-threes subgroup temperaments #Wizz }}
[[baldy17|Seventeen note chromatic scale]]


=Bossier=
Scales:
Subgroup: 2.7.11.13
* [[Wizz6]] – 6-tone haplotonic scale
Commas: 1573/1569, 15488/15379
* [[Wizz10]] – 10-tone albitonic scale
Sval name: 3&amp;17
* [[Wizz16]] – 16-tone chromatic scale


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


Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
EDOs: 17, 20, 37, 57, 94, 225
Error: 2.665 cents


[[bossier8|Eight note albitonic scale]]
Scales:
[[bossier11|Eleven note chromatic scale]]
* [[Bossier8]] – 8-tone albitonic scale
[[bossier14|Fourteen note mega chromatic scale]]
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


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


POTE generator: ~8/7 = 234.381
Scales:  
* [[Penta5]] – 5-tone haplotonic scale
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


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


[[radon5|Five note haplotonic scale]]
Scales:
[[radon11|Eleven note albitonic scale]]
* [[Bluebirds6]] – 6-tone haplotonic scale
[[radon16|Sixteen note chromatic scale]]
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


=Myna=  
== Marveltri ==
Group: 2.3.5.7
{{See also| Subgroup temperaments #Marveltri }}
Commas: 126/125, 1728/1715
Val name: 4&amp;27


POTE generator: ~6/5 = 310.146
Scales:  
* [[Marveltri7]] – 7-tone albitonic scale
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


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


[[myna7|Seven note albitonic scale]]
Scales:
[[myna11|Eleven note chromatic scale]]
* [[Edson5]] – 5-tone haplotonic scale
[[myna15|Fifteen note mega chromatic scale]]
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


=Silver=  
== Photia ==
Subgroup: 2.5.7.13.17
{{See also| Schismatic family #Photia (2.3.5.17) }}
Commas: 170/169, 640/637, 5525/5488
Sval name: 10&amp;27


POTE generator: ~13/8 = 842.711
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]


Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
Scales:  
EDOs: 7, 10, 17, 27, 37, 47, 84, 131
* [[Photia7]] 7-tone albitonic scale
Error: 3.437
* [[Photia12]] – 12-tone chromatic scale


[[silver7|Seven note haplotonic scale]]
== Shoe a.k.a. llywelyn ==
[[silver10|Ten note albitonic scale]]
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}
[[silver17|Seventeen note chromatic scale]]


=Meantone=
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
Group: 2.3.5.7
Commas: 81/80, 126/125
Val name: 12&amp;19


POTE generator: 696.495
Scales:
* [[Shoe5]] – 5-tone mini-haplotonic scale
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


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


[[meantone5|Five note haplotonic scale]]
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
[[meantone7|Seven note albitonic scale]]
[[meantone12|Twelve note chromatic scale]]


=Indium=
Scales:
Subgroup: 2.5/3.7/3.11/3
* [[Roulette6]] – 6-tone haplotonic scale
Commas: 3025/3024, 3125/3087
* [[Roulette7]] – 7-tone albitonic scale
Sval name: 8&amp;33
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


POTE generator: ~12/11 = 147.159
== Silver ==
{{See also | No-threes subgroup temperaments #Silver }}


Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
EDOs: 33, 41, 49, 57, 106, 204, 253
Error: 3.968 cents


[[indium8|Eight note albitonic scale]]
Scales:
[[indium17|Seventeen note chromatic scale]]
* [[Silver7]] – 7-tone haplotonic scale
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


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


POTE generator: ~5/4 = 380.696
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]


Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
Scales
EDOs: 19, 22, 41, 104, 145
* [[Baldy6]] – 6-tone haplotonic scale
Error: 4.489
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


[[magic7|Seven note haplotonic scale]]
[[magic10|Ten note albitonic scale]]
[[magic13|Thirteen note chromatic scale]]
[[magic16|Sixteen note mega chromatic scale]]


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


POTE generator: ~11/9 = 351.691
Scales:  
* [[Guanyintet5]] – 5-tone haplotonic scale
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


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


[[hemif7|Seven note haplotonic scale]]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
[[hemif10|Ten note albitonic scale]]
[[hemif17|Seventeen note chromatic scale]]


=Skwares=
* [[Radon5]] – 5-tone haplotonic scale
Subgroup: 2.3.7.11
* [[Radon11]] – 11-tone albitonic scale
Commas: 99/98, 243/242
* [[Radon16]] – 16-tone chromatic scale
Related temperament: [[Meantone family|squares]]


POTE generator: ~9/7 = 425.244
== Gariberttet ==
{{See also | Subgroup temperaments #Gariberttet }}


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
Scales:  
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
* [[Gariberttet5]] – 5-tone haplotonic scale
Error: 4.942 cents
* [[Gariberttet9]] – 9-tone albitonic scale
* [[Gariberttet13]] – 13-tone chromatic scale


[[skwares8|Eight note albitonic scale]]
== Namo ==
[[skwares11|Eleven note mega albitonic scale]]
{{See also| Rastmic clan #Namo }}
[[skwares14|Fourteen note chromatic scale]]


=Sensi=
Scales:
Group: 2.3.5.7
* [[Namo7]] – 7-tone haplotonic scale
Commas: 126/126, 245/243
* [[Namo10]] – 10-tone albitonic scale
Val name: 19&amp;27
* [[Namo17]] – 17-tone chromatic scale


POTE generator: ~9/7 = 443.383
== Sentry ==
{{See also | Subgroup temperaments #Sentry }}


Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
Scales:  
EDOs: 5, 8, 11, 19, 27, 46
* [[Sentry5]] – 5-tone haplotonic scale
Error: 5.019
* [[Sentry8]] – 8-tone albitonic scale
* [[Sentry11]] 11-tone chromatic scale


[[sensi5|Five note haplotonic scale]]
== Hemif ==
[[sensi8|Eight note albitonic scale]]
{{See also| No-fives subgroup temperaments #Hemif }}
[[sensi11|Eleven note mega albitonic scale]]
[[sensi19|Nineteen 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: 5.404 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]]


=Semidim=
Scales:  
Subgroup: 2.5/3.7/3.11/3.13/3
* [[Garibaldi12]] – 12-tone albitonic scale
Commas: 121/120, 169/168, 275/273
* [[Garibaldi17]] – 17-tone chromatic scale
Sval name: 8&amp;29


POTE generator: ~13/10 = 453.190
== Mabilic ==
{{See also| No-threes subgroup temperaments #Mabilic }}


Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
EDOs: 5, 8, 13, 21, 29, 37, 45
Error: 5.433 cents


[[semidim8|Eight note albitonic scale]]
Scales:
[[semidim13|Thirteen note chromatic scale]]
* [[Mabilic7]] – 7-tone haplotonic scale
* [[Mabilic9]] – 9-tone albitonic scale
* [[Mabilic16]] – 16-tone chromatic scale


=Orwell=  
== Indium ==
Group: 2.3.5.7.11
{{See also | Subgroup temperaments #Indium }}
Commas: 99/98, 121/120, 176/175
Val name: 9&amp;22


POTE generator: ~7/6 = 271.426
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]


Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
Scales:  
EDOs: 9, 22, 31, 53, 84
* [[Indium8]] – 8-tone albitonic scale
Error: 5.584
* [[Indium17]] – 17-tone chromatic scale


[[orwell5|Five note haplotonic scale]]
; Music
[[orwell9|Nine note albitonic scale]]
* ''The Cry of Indium'' (2011) by [[Chris Vaisvil]] [https://www.chrisvaisvil.com/the-cry-of-indium/ blog] | [https://web.archive.org/web/20201127012551/http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 play] – in Indium[17]
[[orwell13|Thirteen note chromatic scale]]


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


POTE generator: ~11/9 = 348.094
Scales:  
* [[Starlingtet4]] – 4-tone haplotonic scale
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
== Lovecraft ==
EDOs: 7, 10, 17, 24, 31, 131
{{See also | No-threes subgroup temperaments #Lovecraft }}
Error: 6.733 cents


[[mohaha7|Seven note albitonic scale]]
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
[[mohaha10|Ten note chromatic scale]]


==Mohoho==
Scales:
Subgroup: 2.3.5.11.13
* [[Lovecraft5]] – 5-tone haplotonic scale
Commas: 66/65, 81/80, 121/120
* [[Lovecraft9]] – 9-tone albitonic scale
* [[Lovecraft13]] – 13-tone chromatic scale


POTE generator: ~11/9 = 348.916
== Blackbirds ==
{{See also | No-threes subgroup temperaments #Blackbirds }}


Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
Scales:  
EDOs: 7, 10, 17, 24, 31, 55
* [[Blackbirds8]] – 8-tone albitonic scale
Error: 9.556 cents
* [[Blackbirds12]] – 12-tone chromatic scale
* [[Blackbirds16]] – 16-tone mega-chromatic scale


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


POTE generator: ~9/8 = 193.937
Scales:  
* [[Laz5]] – 5-tone haplotonic scale
* [[Laz9]] – 9-tone albitonic scale
* [[Laz13]] – 13-tone chromatic scale


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


[[tutone6|Six note haplotonic scale]]
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]
[[tutone7|Seven note albitonic scale]]
[[tutone13|Thirteen note chromatic scale]]


==Leantone==
Scales:
Subgroup: 2.9.5.7.11
* [[Myna7]] – 7-tone haplotonic scale
Commas: 45/44, 56/55, 81/80
* [[Myna11]] – 11-tone albitonic scale
Related temperament: [[Meantone family|flattone]]
* [[Myna15]] – 15-tone chromatic scale


POTE generator: ~9/8 = 192.500
== Greeley ==
{{See also| Subgroup temperaments #Greeley }}


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
Error: 20.338 cents


[[leantone6|Six note haplotonic scale]]
Scales:
[[leantone7|Seven note albitonic scale]]
* [[Greeley8]] – 8-tone albitonic scale
[[leantone13|Thirteen note chromatic scale]]
* [[Greeley15]] – 15-tone chromatic scale


=Score=
; Music
Subgroup: 2.7.11.13
* ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15]
Commas: 343/338, 847/832


POTE generator: ~11/8 = 540.099
== Ammon ==
{{See also| Subgroup temperaments #Ammon }}


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
EDOs: 5, 7, 9, 11, 20
Error: 8.052 cents


[[score5|Five note haplotonic scale]]
Scales:
[[score7|Seven note albitonic scale]]
* [[Ammon8]] – 8-tone albitonic scale
[[score9|Nine note mega albitonic scale]]
* [[Ammon13]] – 13-tone chromatic scale
[[score11|Eleven note chromatic scale]]


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


POTE generator: ~3/2 = 707.192
Scales:  
* [[Mothwelltri5]] – 5-tone haplotonic scale
* [[Mothwelltri9]] – 9-tone albitonic scale
* [[Mothwelltri13]] – 13-tone chromatic scale


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


[[supra7|Seven note albitonic scale]]
Scales:
[[supra12|Twelve note chromatic scale]]
* [[Sulis7]] – 7-tone haplotonic scale
* [[Sulis10]] – 10-tone albitonic scale
* [[Sulis13]] – 13-tone chromatic scale


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


POTE generator: ~3/2 = 706.137
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]


Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
Scales:  
EDOs: 5, 7, 12, 17
* [[Skwares8]] – 8-tone albitonic scale
Error: 10.534 cents
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale


==Machine==  
== Orwell ==
Subgroup: 2.9.7.11
{{Main| Orwell }}
Commas: 64/63, 99/98
{{See also| Semicomma family #Orwell }}


POTE generator: ~9/8 = 214.384
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]


Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
Scales:  
EDOs: 5, 6, 11, 17, 28
* [[Orwell5]] – 5-tone haplotonic scale
Error: 10.100 cents
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone chromatic scale


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


=Deutone=
Scales:
Subgroup: 2.9.5.7.13
* [[Magicaltet7]] – 7-tone albitonic scale
Commas: 65/64, 81/80, 91/90
* [[Magicaltet11]] – 11-tone chromatic scale
Related temperament: [[Meantone family|meanpop]]
* [[Magicaltet15]] – 15-tone mega-chromatic scale


POTE generator: ~9/8 = 191.059
== Magic ==
{{Main| Magic }}
{{See also| Magic family #Magic }}


Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
EDOs: 6, 7, 13, 19, 25, 44, 69
Error: 12.145 cents


[[deutone6|Six note haplotonic scale]]
Scales:
[[deutone7|seven note albitonic scale]]
* [[Magic7]] – 7-tone haplotonic scale
[[deutone13|Thirteen note chromatic scale]]
* [[Magic10]] – 10-tone albitonic scale
* [[Magic13]] – 13-tone chromatic scale
* [[Magic16]] – 16-tone mega-chromatic scale


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


POTE generator: ~8/7 = 228.275
Scales:  
* [[Kiribati13]] – 13-tone chromatic scale
* [[Kiribati14]] – 14-tone chromatic scale


Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
== Score ==
EDOs: 3, 6, 9, 15, 21
{{See also|No-threes subgroup temperaments #Score }}
Error: 12.830 cents


[[augment6|Six note haplotonic scale]]
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
[[augment9|Nine note albitonic scale]]
 
[[augment12|Twelve note chromatic scale]]</pre></div>
Scales:
<h4>Original HTML content:</h4>
* [[Score5]] – 5-tone haplotonic scale
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chromatic pairs&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule: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;
* [[Score7]] – 7-tone albitonic scale
&lt;!-- ws:end:WikiTextTocRule:103 --&gt;&lt;br /&gt;
* [[Score9]] – 9-tone mega-albitonic scale
&lt;br /&gt;
* [[Score11]] – 11-tone chromatic scale
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;
 
&lt;br /&gt;
== Sensi ==
&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;
{{Main| Sensi }}
Subgroup: 2.9/5.9/7&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
Commas: 250047/250000&lt;br /&gt;
 
Sval name: 6&amp;amp;21&lt;br /&gt;
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
Related temperament: &lt;a class="wiki_link" href="/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~10/9 = 182.462&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
Error: 0.0443 cents&lt;br /&gt;
 
&lt;br /&gt;
=== Sensation ===
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;
{{Main| Sensi }}
&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
&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;
* [[Sensi5]] – 5-tone haplotonic 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;
* [[Sensi8]] – 8-tone albitonic scale
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
Commas: 352/351, 676/675&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
Sval name: 5&amp;amp;24&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barabdos&lt;/a&gt;&lt;br /&gt;
== Meantone ==
&lt;br /&gt;
{{Main| Meantone }}
POTE generator: ~15/13 = 248.285&lt;br /&gt;
{{See also| Meantone family #Meantone }}
&lt;br /&gt;
 
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
 
Error: 0.8996 cents&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Meantone5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Meantone7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Meantone12]] – 12-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Cata&lt;/h1&gt;
== Mohaha ==
Subgroup: 2.3.5.13&lt;br /&gt;
{{See also| Rastmic clan #Mohaha }}
Commas: 325/324, 625/624&lt;br /&gt;
 
Sval name: 15&amp;amp;19&lt;br /&gt;
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
Related temperament: &lt;a class="wiki_link" href="/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~6/5 = 317.076&lt;br /&gt;
* [[Mohaha7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Mohaha10]] – 10-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;
Music:  
Error: 0.9355 cents&lt;br /&gt;
; [[Billy Stiltner]]
&lt;br /&gt;
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
&lt;a class="wiki_link" href="/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
=== Mohoho ===
&lt;a class="wiki_link" href="/cata15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Rastmic clan #Mohoho }}
&lt;a class="wiki_link" href="/cata19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Joan ==
&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;
{{See also| Subgroup temperaments #Joan }}
Subgroup: 2.7/5.11/5.13/5&lt;br /&gt;
 
Commas: 847/845, 1001/1000&lt;br /&gt;
Scales:  
Sval name: 5&amp;amp;8&lt;br /&gt;
* [[Joan5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Joan7]] – 7-tone albitonic scale
POTE generator: ~13/10 = 454.461&lt;br /&gt;
* [[Joan9]] – 9-tone mega-albitonic scale
&lt;br /&gt;
* [[Joan11]] – 11-tone chromatic scale
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;
== Tutone ==
Error: 1.057&lt;br /&gt;
{{See also| Hemimean clan #Tutone }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/Tridec8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
&lt;a class="wiki_link" href="/Tridec13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&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;
* [[Tutone6]] – 6-tone haplotonic scale
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
* [[Tutone7]] – 7-tone albitonic scale
Commas: 352/351, 364/363&lt;br /&gt;
* [[Tutone13]] – 13-tone chromatic scale
Sval name: 5&amp;amp;12&lt;br /&gt;
 
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;
== Stacks ==
&lt;br /&gt;
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
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;
* [[Stacks5]] – 5-tone haplotonic scale
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
* [[Stacks8]] – 8-tone albitonic scale
Error: 1.298 cents&lt;br /&gt;
* [[Stacks11]] – 11-tone chromatic scale
&lt;br /&gt;
* [[Stacks19]] – 19-tone mega-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;
== Bleu ==
&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Bleu }}
&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;
* [[Bleu8]] – 8-tone haplotonic scale
Sval name: 12&amp;amp;29&lt;br /&gt;
* [[Bleu9]] – 9-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
* [[Bleu17]] – 17-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~3/2 = 701.746&lt;br /&gt;
== Sephiroth ==
&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Sephiroth }}
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;
* [[Sephiroth7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Sephiroth10]] – 10-tone albitonic scale
&lt;a class="wiki_link" href="/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Sephiroth13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Sephiroth16]] – 16-tone mega-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;
== Archy ==
Subgroup 2.3.5.17.19&lt;br /&gt;
{{Main| Superpyth }}
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
{{See also| Archytas clan #Archy }}
Sval name: 12&amp;amp;41&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Archy5]] – 5-tone haplotonic scale
POTE generator: ~3/2 = 701.470&lt;br /&gt;
* [[Archy7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Archy12]] – 12-tone 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;
=== Supra ===
Error: 3.457 cents&lt;br /&gt;
{{Main| Superpyth }}
&lt;br /&gt;
{{See also| Archytas clan #Supra }}
&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;
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]
&lt;br /&gt;
 
&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;
Scales:
Subgroup: 2.5.7.13&lt;br /&gt;
* [[Supra7]] – 7-tone [[albitonic scale]]
Commas: 640/637, 10985/10976&lt;br /&gt;
* [[Supra12]] – 12-tone [[chromatic scale]]
Sval name: 10&amp;amp;27&lt;br /&gt;
 
&lt;br /&gt;
=== Supraphon ===
POTE generator: ~16/13 = 357.002&lt;br /&gt;
{{Main| Superpyth }}
&lt;br /&gt;
{{See also| Archytas clan #Supraphon }}
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;
== Suhajira ==
Error: 2.1001 cents&lt;br /&gt;
{{See also| Archytas clan #Suhajira }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/huntington7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/huntington10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Suhajira7]] – 7-tone haplotonic scale
&lt;a class="wiki_link" href="/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Suhajira10]] – 10-tone albitonic scale
&lt;br /&gt;
* [[Suhajira17]] – 17-tone chromatic scale
&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;
 
Subgroup: 2.5.7.11.13&lt;br /&gt;
== Machine ==
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
{{See also| Subgroup temperaments #Machine}}
Sval name: 6&amp;amp;25&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;&lt;br /&gt;
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
&lt;br /&gt;
 
POTE generator: ~28/25 = 194.594&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Machine5]] – 5-tone haplotonic scale
Map: [&amp;lt;1 0 -3 -7 -13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
* [[Machine6]] – 6-tone albitonic scale
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
* [[Machine11]] – 11-tone chromatic scale
Error: 2.555 cents&lt;br /&gt;
 
&lt;br /&gt;
== Deutone ==
&lt;a class="wiki_link" href="/roulette6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Hemimean clan #Deutone }}
&lt;a class="wiki_link" href="/roulette7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/roulette13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]
&lt;a class="wiki_link" href="/roulette19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&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;
* [[Deutone6]] – 6-tone haplotonic scale
Group: 2.3.5.7&lt;br /&gt;
* [[Deutone7]] – 7-tone albitonic scale
Commas: 225/224, 3125/3087&lt;br /&gt;
* [[Deutone13]] – 13-tone chromatic scale
Val name: 12&amp;amp;29&lt;br /&gt;
 
&lt;br /&gt;
== Negra ==
POTE generator: ~3/2 = 702.085&lt;br /&gt;
{{Main| Negri }}
&lt;br /&gt;
{{See also| Marvel temperaments #Negri }}
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;
== Porkypine ==
Error: 2.834&lt;br /&gt;
{{Main| Porcupine }}
&lt;br /&gt;
{{See also| Porcupine family #Porcupine }}
&lt;a class="wiki_link" href="/garibaldi12"&gt;Twelve note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/garibaldi17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Porkypine7]] – 7-tone haplotonic scale
&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;
* [[Porkypine8]] – 8-tone albitonic scale
Subgroup: 2.9.5.7.13&lt;br /&gt;
* [[Porkypine15]] – 15-tone chromatic scale
Commas: 225/224, 325/324, 640/637&lt;br /&gt;
 
Sval name: 6&amp;amp;35&lt;br /&gt;
== Skateboard ==
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Skateboard }}
&lt;br /&gt;
 
POTE generator: ~9/8 = 204.090&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Skateboard7]] – 7-tone haplotonic scale
Map: [&amp;lt;1 0 15 25 -8|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
* [[Skateboard11]] – 11-tone albitonic scale
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147&lt;br /&gt;
* [[Skateboard15]] – 15-tone chromatic scale
Error: 2.617 cents&lt;br /&gt;
 
&lt;br /&gt;
== Augment ==
&lt;a class="wiki_link" href="/baldy6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Augment }}
&lt;a class="wiki_link" href="/baldy11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/baldy17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]
&lt;br /&gt;
 
&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;
Scales:  
Subgroup: 2.7.11.13&lt;br /&gt;
* [[Augment6]] – 6-tone haplotonic scale
Commas: 1573/1569, 15488/15379&lt;br /&gt;
* [[Augment9]] – 9-tone albitonic scale
Sval name: 3&amp;amp;17&lt;br /&gt;
* [[Augment12]] – 12-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~14/11 = 421.309&lt;br /&gt;
== Semaphore ==
&lt;br /&gt;
{{Main| Semaphore and godzilla }}
Map: [&amp;lt;1 0 1 3|, &amp;lt;0 8 7 2|]&lt;br /&gt;
{{See also| Semaphoresmic clan #Semaphore }}
EDOs: 17, 20, 37, 57, 94, 225&lt;br /&gt;
 
Error: 2.665 cents&lt;br /&gt;
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
&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;
* [[Semaphore5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/bossier14"&gt;Fourteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Semaphore9]] – 9-tone albitonic scale
&lt;br /&gt;
* [[Semaphore14]] – 14-tone chromatic scale
&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;
 
Subgroup: 2.3.7.11&lt;br /&gt;
== Kryptonite ==
Commas: 896/891, 1029/1024&lt;br /&gt;
{{See also| Subgroup temperaments #Kryptonite }}
Sval name: 5&amp;amp;36&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
Scales:
&lt;br /&gt;
* [[Kryptonite9]] – 9-tone albitonic scale
POTE generator: ~8/7 = 234.381&lt;br /&gt;
* [[Kryptonite10]] – 10-tone albitonic scale
&lt;br /&gt;
* [[Kryptonite19]] – 19-tone mega-chromatic scale
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
 
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
== Oregon ==
Error: 2.925 cents&lt;br /&gt;
{{See also| Orgonia #Oregon }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/radon5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/radon11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Oregon7]] – 7-tone haplotonic scale
&lt;a class="wiki_link" href="/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Oregon11]] – 11-tone albitonic scale
&lt;br /&gt;
* [[Oregon15]] – 15-tone chromatic 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;
 
Group: 2.3.5.7&lt;br /&gt;
== Antikythera ==
Commas: 126/125, 1728/1715&lt;br /&gt;
{{See also| Jubilismic clan #Antikythera }}
Val name: 4&amp;amp;27&lt;br /&gt;
 
&lt;br /&gt;
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
POTE generator: ~6/5 = 310.146&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 9 9 8|, &amp;lt;0 -10 -9 -7|]&lt;br /&gt;
* [[Antikythera6]] – 6-tone haplotonic scale
EDOs: 4, 27, 31, 58, 89&lt;br /&gt;
* [[Antikythera10]] – 10-tone albitonic scale
Error: 3.310 cents&lt;br /&gt;
* [[Antikythera16]] – 16-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/myna7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Glacial ==
&lt;a class="wiki_link" href="/myna11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Glacial }}
&lt;a class="wiki_link" href="/myna15"&gt;Fifteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&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;
* [[Glacial6]] – 6-tone haplotonic scale
Subgroup: 2.5.7.13.17&lt;br /&gt;
* [[Glacial7]] – 7-tone albitonic scale
Commas: 170/169, 640/637, 5525/5488&lt;br /&gt;
* [[Glacial13]] – 13-tone chromatic scale
Sval name: 10&amp;amp;27&lt;br /&gt;
 
&lt;br /&gt;
== Leantone ==
POTE generator: ~13/8 = 842.711&lt;br /&gt;
{{See also| Hemimean clan #Leantone }}
&lt;br /&gt;
 
Map: [&amp;lt;1 5 4 4 2|, &amp;lt;0 -9 -4 -1 7|]&lt;br /&gt;
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
EDOs: 7, 10, 17, 27, 37, 47, 84, 131&lt;br /&gt;
 
Error: 3.437&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Leantone6]] – 6-tone haplotonic scale
&lt;a class="wiki_link" href="/silver7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Leantone7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/silver10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Leantone13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/silver17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Notes ==
&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;
[[Category:Lists of scales]]
Commas: 81/80, 126/125&lt;br /&gt;
[[Category:Tempered scales| ]]
Val name: 12&amp;amp;19&lt;br /&gt;
[[Category:Listen]]
&lt;br /&gt;
[[Category:Rank 2]]
POTE generator: 696.495&lt;br /&gt;
 
&lt;br /&gt;
{{todo|cleanup}}
Map: [&amp;lt;1 0 -4 -13|, &amp;lt;0 1 4 10|]&lt;br /&gt;
EDOs: 5, 7, 12, 19, 31, 81, 112, 143&lt;br /&gt;
Error: 3.585&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/meantone5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/meantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/meantone12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&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;
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