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>