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__FORCETOC__
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.
-----


=Definitions=
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 [[MOSScales|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 [[Tp_tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full p-limit groups.


=Terrain=
== Terrain ==
Subgroup: 2.9/5.9/7
{{See also| Subgroup temperaments #Terrain }}


Commas: 250047/250000
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]


Sval name: 6&21
Scales:  
* [[Terrain9]] – 9-tone albitonic scale
* [[Terrain15]] – 15-tone chromatic scale


Related temperament: [[Minortonic_family#Domain|domain]]
; Music
* ''5 5 1 mode of 33 equal'' (2013) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ blog] | [https://www.youtube.com/watch?v=2gYdUOPHXSQ YouTube] | [https://web.archive.org/web/20201127015117/http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play]


[[Tp_tuning|POT2 generator]]: ~10/9 = 182.461
== Petrtri ==
{{See also| Subgroup temperaments #Petrtri }}


[[Gencom|Gencom]]: [63/50 10/9; 250047/250000]
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


Gencom map: [<3 10/9 -7/9 2/9|, <0 -2/3 -1/3 2/3|]
Scales:  
* [[Petrtri5]] – 5-tone haplotonic scale
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


Map: [<3 0 -4|, <0 1 2|]
== Barton ==
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
{{See also| The Jacobins #Barton }}


EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
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


[[Tp_tuning#T2 tuning|RMS error]]: 0.00844 cents
== Tridec ==
{{See also| Subgroup temperaments #Tridec }}


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.
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]


[[File:terrain_3558edo.png|alt=terrain_3558edo.png|terrain_3558edo.png]]
Scales:
* [[Tridec8]] – 8-tone albitonic scale
* [[Tridec13]] – 13-tone chromatic scale


[[terrain9|Nine note albitonic scale]]
== Nestoria ==
{{See also| Schismatic family #Nestoria (2.3.5.19)}}


[[terrain15|Fifteen note chromatic scale]]
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]


[http://chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ 5 5 1 mode of 33 equal (with video)] [http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play] by [[Chris_Vaisvil|Chris Vaisvil]]
Scales:
* [[Nestoria7]] – 7-tone albitonic scale
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


=Petrtri=
== Orgone ==
Subgroup: 2.11/5.13/5
{{Main| Orgone }}
{{See also| Orgonia #Orgone }}


Comma: 2200/2197
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]


Svalname: 3&5
Scales:  
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


[[Tp_tuning|POT2 generator]]: ~13/10 = 455.012
== Marveltwintri ==
{{See also| Subgroup temperaments #Marveltwintri }}


[[Gencom|Gencom]]: [2 13/10; 2200/2197]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]


Gencom map: [<1 0 -1/3 0 -1/3 2/3|, <0 0 -4/3 0 5/3 -1/3|]
Scales:  
* [[Marveltwintri7]] – 7-tone albitonic scale
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


Map: [<1 0 1|, <0 3 1|]
== Cata ==
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}


EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]


[[Tp_tuning#T2 tuning|RMS error]]: 0.0749 cents
Scales:
* [[Cata7]] – 7-tone albitonic scale
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


[[File:petrtri_385edo.png|alt=petrtri_385edo.png|petrtri_385edo.png]]
== Bridgetown ==
{{See also| Subgroup temperaments #Bridgetown }}


[[petrtri5|Five note haplotonic scale]]
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]


[[petrtri8|Eight note albitonic scale]]
Scales:
* [[Bridgetown9]] – 9-tone albitonic scale
* [[Bridgetown14]] – 14-tone chromatic scale


[[petrtri13|Thirteen note chromatic scale]]
; 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


=Barton=
== Haumea ==
Subgroup: 2.5.11.13
{{See also| Subgroup temperaments #Haumea }}


Commas: 2200/2197, 6656/6655
Scales:  
* [[Haumea5]] – 5-tone haplotonic scale
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


Svalname: 11&13
== Neutral ==
{{See also| Rastmic clan #Neutral }}


[[Tp_tuning|POT2 generator]]: ~11/8 = 551.699
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]


Gencom: [2 11/8; 2200/2197 6656/6655]
Scales:  
* [[Neutral7]] – 7-tone albitonic scale
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] – 17-tone mega-chromatic scale


Gencom map: [<1 0 6 0 3 6|, <0 0 -8 0 1 -5|]
; Music
* [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning


Map: [<1 6 3 6|, <0 -8 1 -5|]
== Slendric ==
{{Main| Slendric }}
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


EDOs: 11, 13, 24, 37, 50, 87, 298, 385, 472, 559, 1590cd
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]


[[Tp_tuning#T2 tuning|RMS error]]: 0.0822 cents
Scales:
* [[Slendric5]] – 5-tone haplotonic scale
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


[[barton5|Five note haplotonic scale]]
== Huntington ==
{{See also| No-threes subgroup temperaments #Huntington }}


[[barton7|Seven note albitonic scale]]
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]


[[barton9|Nine note mega albitonic scale]]
Scales:
* [[Huntington7]] – 7-tone haplotonic scale
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


[[barton11|Eleven note chromatic scale]]
== Tobago ==
{{See also| Subgroup temperaments #Tobago }}


[[barton13|Thirteen note mega chromatic scale]]
Scales:
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


=Voltage=
== Pepperoni ==
Subgroup: 2.7.13
{{See also| Parapyth }}
{{See also| Subgroup temperaments #Pepperoni }}


Comma: 28672/28561
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]


Sval name: 3&7
Scales:  
* [[Pepperoni7]] – 7-tone albitonic scale
* [[Pepperoni12]] – 12-tone chromatic scale


[[Tp_tuning|POT2 generator]]: ~16/13 = 357.677
== Wizz ==
{{See also| No-threes subgroup temperaments #Wizz }}


[[TOP_tuning|POTT generator]]: ~16/13 = 1200 - 300 log₂(7) (357.794)
Scales:
* [[Wizz6]] – 6-tone haplotonic scale
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


Gencom: [2, 16/13; 28672/28561]
== Bossier ==
{{See also| No-threes subgroup temperaments #Bossier }}


Gencom map: [<1 0 0 4 0 4|, <0 0 0 -4 0 -1|]
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]


Map: [<1 4 4|, <0 -4 -1|]
Scales:  
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


EDOS: 3, 7, 10, 27, 37, 47, 57, 104
== Penta a.k.a. mechanism ==
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}


RMS error: 0.1423
Scales:  
* [[Penta5]] – 5-tone haplotonic scale
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


=Tridec=
== Bluebirds ==
Subgroup: 2.7/5.11/5.13/5
{{See also| No-threes subgroup temperaments #Bluebirds }}


Commas: 847/845, 1001/1000
Scales:  
* [[Bluebirds6]] – 6-tone haplotonic scale
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


Sval name: 5&8
== Marveltri ==
{{See also| Subgroup temperaments #Marveltri }}


[[Tp_tuning|POT2 generator]]: ~13/10 = 454.556
Scales:
* [[Marveltri7]] – 7-tone albitonic scale
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


[[Gencom|Gencom]]: [2 13/10; 847/845 1001/1000]
== Edson ==
{{See also| Subgroup temperaments #Edson }}


Gencom map: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|]
Scales:  
* [[Edson5]] – 5-tone haplotonic scale
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


Map: [<1 2 0 1|, <0 -4 3 1|]
== Photia ==
{{See also| Schismatic family #Photia (2.3.5.17) }}


EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]


[[Tp_tuning#T2 tuning|RMS error]]: 0.1613 cents
Scales:
* [[Photia7]] – 7-tone albitonic scale
* [[Photia12]] – 12-tone chromatic scale


[[File:tridec_235edo.png|alt=tridec_235edo.png|tridec_235edo.png]]
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


[[Tridec8|Eight note albitonic scale]]
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]


[[Tridec13|Thirteen note chromatic scale]]
Scales:
* [[Shoe5]] – 5-tone mini-haplotonic scale
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


=Nestoria=
== Roulette ==
Subgroup: 2.3.5.19
{{See also | Hemimean clan #Roulette }}


Commas: 361/360, 513/512
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]


Sval name: 12&29
Scales:  
* [[Roulette6]] – 6-tone haplotonic scale
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


Related temperament: [[Schismatic_family|schismatic]]
== Silver ==
{{See also | No-threes subgroup temperaments #Silver }}


[[Tp_tuning|POT2 generator]]: ~3/2 = 701.746
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]


[[Gencom|Gencom]]: [2 3/2; 361/360 513/512]
Scales:
* [[Silver7]] – 7-tone haplotonic scale
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 0 -3|]
== Baldy ==
{{See also| Subgroup temperaments #Baldy }}


Map: [<1 0 15 9|, <0 1 -8 -3|]
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]


EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d
Scales
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


[[Tp_tuning#T2 tuning|RMS error]]: 0.1763 cents


[[File:nestoria_171edo.png|alt=nestoria_171edo.png|nestoria_171edo.png]]
== Guanyintet ==
{{See also | Subgroup temperaments #Guanyintet }}


[[nestoria7|Seven note albitonic scale]]
Scales:
* [[Guanyintet5]] – 5-tone haplotonic scale
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


[[nestoria12|Twelve note chromatic scale]]
== Radon ==
{{See also| Gamelismic clan #Radon }}


[[nestoria17|Seventeen note mega chromatic scale]]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]


=Orgone=
* [[Radon5]] – 5-tone haplotonic scale
Subgroup: 2.7.11
* [[Radon11]] – 11-tone albitonic scale
* [[Radon16]] – 16-tone chromatic scale


Commas: 65536/65219
== Gariberttet ==
{{See also | Subgroup temperaments #Gariberttet }}


Svals: 4&7
Scales:  
* [[Gariberttet5]] – 5-tone haplotonic scale
* [[Gariberttet9]] – 9-tone albitonic scale
* [[Gariberttet13]] – 13-tone chromatic scale


Related temperament: [[Gamelismic_clan#superkleismic|superkleismic]]
== Namo ==
{{See also| Rastmic clan #Namo }}


[[Tp_tuning|POT2 generator]]: ~77/64 = 323.372
Scales:
* [[Namo7]] – 7-tone haplotonic scale
* [[Namo10]] – 10-tone albitonic scale
* [[Namo17]] – 17-tone chromatic scale


[[Gencom|Gencom]]: [2 77/64; 65536/65219]
== Sentry ==
{{See also | Subgroup temperaments #Sentry }}


Gencom map: [<1 0 0 2 4|, <0 0 0 3 -2|]
Scales:  
* [[Sentry5]] – 5-tone haplotonic scale
* [[Sentry8]] – 8-tone albitonic scale
* [[Sentry11]] – 11-tone chromatic scale


Map: [<1 2 4|, <0 3 -2|]
== Hemif ==
{{See also| No-fives subgroup temperaments #Hemif }}


EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]


[[Tp_tuning#T2 tuning|RMS error]]: 0.1888 cents
Scales:
* [[Hemif7]] – 7-tone haplotonic scale
* [[Hemif10]] – 10-tone albitonic scale
* [[Hemif17]] – 17-tone chromatic scale


[[File:orgone_308edo.jpg|alt=orgone_308edo.jpg|orgone_308edo.jpg]]
== Garibaldi ==
{{Main| Garibaldi temperament }}
{{See also| Schismatic family #Garibaldi }}


[[orgone7|Seven note albitonic scale]]
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]


[[orgone11|Eleven note chromatic scale]]
Scales:
* [[Garibaldi12]] – 12-tone albitonic scale
* [[Garibaldi17]] – 17-tone chromatic scale


[[orgone15|Fifteen note mega chromatic scale]]
== Mabilic ==
{{See also| No-threes subgroup temperaments #Mabilic }}


=Marveltwintri=
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
Subgroup: 2.5/3.13/9


Comma: 325/324
Scales:  
* [[Mabilic7]] – 7-tone haplotonic scale
* [[Mabilic9]] – 9-tone albitonic scale
* [[Mabilic16]] – 16-tone chromatic scale


Svalname: 3&4
== Indium ==
{{See also | Subgroup temperaments #Indium }}


[[Tp_tuning|POT2 generator]]: ~6/5 = 317.139
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]


[[Gencom|Gencom]]: [2 6/5; 325/324]
Scales:
* [[Indium8]] – 8-tone albitonic scale
* [[Indium17]] – 17-tone chromatic scale


Gencom map: [<1 -1/6 5/6 0 0 -1/3|, <0 -1/2 -3/2 0 0 1|]
; Music
* ''The Cry of Indium'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/the-cry-of-indium/ blog] | [https://web.archive.org/web/20201127012551/http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 play] – in Indium[17]


Map: [<1 0 2|, <0 1 -2|]
== Starlingtet ==
{{See also | Subgroup temperaments #Starlingtet }}


EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b
Scales:  
* [[Starlingtet4]] – 4-tone haplotonic scale
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale


[[Tp_tuning#T2 tuning|RMS error]]: 0.2444 cents
== Lovecraft ==
{{See also | No-threes subgroup temperaments #Lovecraft }}


[[File:marveltwintri_321edo.png|alt=marveltwintri_321edo.png|marveltwintri_321edo.png]]
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]


[[marveltwintri7|Seven note albitonic scale]]
Scales:
* [[Lovecraft5]] – 5-tone haplotonic scale
* [[Lovecraft9]] – 9-tone albitonic scale
* [[Lovecraft13]] – 13-tone chromatic scale


[[marveltwintri11|Eleven note chromatic scale]]
== Blackbirds ==
{{See also | No-threes subgroup temperaments #Blackbirds }}


[[marveltwintri15|Fifteen note mega chromatic scale]]
Scales:
* [[Blackbirds8]] – 8-tone albitonic scale
* [[Blackbirds12]] – 12-tone chromatic scale
* [[Blackbirds16]] – 16-tone mega-chromatic scale


=Cata=
== Laz ==
Subgroup: 2.3.5.13
{{See also | Subgroup temperaments #Laz }}


Commas: 325/324, 625/624
Scales:  
* [[Laz5]] – 5-tone haplotonic scale
* [[Laz9]] – 9-tone albitonic scale
* [[Laz13]] – 13-tone chromatic scale


Sval name: 15&19
== Myna ==
{{Main| Myna }}
{{See also| Starling temperaments #Myna }}


Related temperament: [[Kleismic_family|catakleismic]]
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]


[[Tp_tuning|POT2 generator]]: ~6/5 = 317.076
Scales:
* [[Myna7]] – 7-tone haplotonic scale
* [[Myna11]] – 11-tone albitonic scale
* [[Myna15]] – 15-tone chromatic scale


[[Gencom|Gencom]]: [2 6/5; 325/324 625/624]
== Greeley ==
{{See also| Subgroup temperaments #Greeley }}


Gencom map: [<1 0 1 0 0 0|, <0 6 5 0 0 14|]
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]


Map: [<1 0 1 0|, <0 6 5 14|]
Scales:  
* [[Greeley8]] – 8-tone albitonic scale
* [[Greeley15]] – 15-tone chromatic scale


EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
; Music
* ''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]


[[Tp_tuning#T2 tuning|RMS error]]: 0.2450 cents
== Ammon ==
{{See also| Subgroup temperaments #Ammon }}


[[File:cata_246edo.jpg|alt=cata_246edo.jpg|cata_246edo.jpg]]
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]


[[cata7|Seven note albitonic scale]]
Scales:
* [[Ammon8]] – 8-tone albitonic scale
* [[Ammon13]] – 13-tone chromatic scale


[[cata11|Eleven note mega albitonic scale]]
== Mothwelltri ==
{{See also| Subgroup temperaments #Mothwelltri }}


[[cata15|Fifteen note chromatic scale]]
Scales:
* [[Mothwelltri5]] – 5-tone haplotonic scale
* [[Mothwelltri9]] – 9-tone albitonic scale
* [[Mothwelltri13]] – 13-tone chromatic scale


[[cata19|Nineteen note mega chromatic scale]]
== Sulis ==
{{See also| Subgroup temperaments #Sulis }}


=Bridgetown=
Scales:
Subgroup: 2.3.11/5.13/5
* [[Sulis7]] – 7-tone haplotonic scale
* [[Sulis10]] – 10-tone albitonic scale
* [[Sulis13]] – 13-tone chromatic scale


Commas: 352/351, 676/675
== Skwares ==
{{Main| Squares }}
{{See also| No-fives subgroup temperaments #Skwares }}


Sval name: 5&24
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]


Related temperaments: [[Chromatic_pairs#Haumea|haumea]], [[The_Archipelago|barbados]]
Scales:  
* [[Skwares8]] – 8-tone albitonic scale
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale


[[Tp_tuning|POT2 generator]]: ~15/13 = 248.399
== Orwell ==
{{Main| Orwell }}
{{See also| Semicomma family #Orwell }}


[[Gencom|Gencom]]: [2 15/13; 352/351 676/675]
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]


Gencom map: [<1 2 -5/3 0 4/3 1/3|, <0 -2 4 0 -5 1|]
Scales:  
* [[Orwell5]] – 5-tone haplotonic scale
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone chromatic scale


Map: [<1 0 -6 -1|, <0 2 9 3|]
== Magicaltet ==
{{See also| Subgroup temperaments #Magicaltet }}


EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314
Scales:  
* [[Magicaltet7]] – 7-tone albitonic scale
* [[Magicaltet11]] – 11-tone chromatic scale
* [[Magicaltet15]] – 15-tone mega-chromatic scale


[[Tp_tuning#T2 tuning|RMS error]]: 0.2513 cents
== Magic ==
{{Main| Magic }}
{{See also| Magic family #Magic }}


[[File:bridgetown_29edo.png|alt=bridgetown_29edo.png|bridgetown_29edo.png]]
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]


[[bridgetown9|Nine note albitonic scale]]
Scales:
* [[Magic7]] – 7-tone haplotonic scale
* [[Magic10]] – 10-tone albitonic scale
* [[Magic13]] – 13-tone chromatic scale
* [[Magic16]] – 16-tone mega-chromatic scale


[[bridgetown14|Fourteen note chromatic scale]]
== Kiribati ==
{{See also| Subgroup temperaments #Kiribati }}


==Music==
Scales:
<span style=""><span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 Paint in the Water 29]</span></span> by [[Igliashon_Jones|Igliashon Jones]]
* [[Kiribati13]] – 13-tone chromatic scale
* [[Kiribati14]] – 14-tone chromatic scale


<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 Route 14 in Bridgetown]</span></span> by [[Chris_Vaisvil|Chris Vaisvil]]
== Score ==
{{See also|No-threes subgroup temperaments #Score }}


=Haumea=
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
Subgroup: 2.3.7/5.11/5.13/5


Commas: 352/351, 676/675, 847/845
Scales:  
* [[Score5]] – 5-tone haplotonic scale
* [[Score7]] – 7-tone albitonic scale
* [[Score9]] – 9-tone mega-albitonic scale
* [[Score11]] – 11-tone chromatic scale


Related temperaments: [[Chromatic_pairs#Bridgetown|bridgetown]], [[Hemifamity_family#Namaka|namaka]], hemigari, barbados, parizekmic
== Sensi ==
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}


[[Tp_tuning|POT2 generator]]: ~15/13 = 248.491
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]


[[Gencom|Gencom]]: [2 15/13; 352/351 676/675 847/845]
Scales:
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


Gencom map: [&lt;1 2 -3/4 -11/4 9/4 5/4|, &lt;0 -2 0 12 -9 -3|]
=== Sensation ===
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}


Map: [&lt;1 0 10 -6 -1|, &lt;0 2 -12 9 3|]
Scales:  
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd
== Meantone ==
{{Main| Meantone }}
{{See also| Meantone family #Meantone }}


[[Tp_tuning#T2 tuning|RMS error]]: 0.2668 cents
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]


[[haumea5|Five note haplotonic scale]]
Scales:
* [[Meantone5]] – 5-tone haplotonic scale
* [[Meantone7]] – 7-tone albitonic scale
* [[Meantone12]] – 12-tone chromatic scale


[[haumea9|Nine note albitonic scale]]
== Mohaha ==
{{See also| Rastmic clan #Mohaha }}


[[haumea14|Fourteen note chromatic scale]]
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]


[[haumea19|Nineteen note mega chromatic scale]]
Scales:
* [[Mohaha7]] – 7-tone albitonic scale
* [[Mohaha10]] – 10-tone chromatic scale


=Neuter=
Music:
Subgroup: 2.3.11
; [[Billy Stiltner]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}


Commas: 243/242
=== Mohoho ===
{{See also| Rastmic clan #Mohoho }}


Svalname: 7&amp;17
== Joan ==
{{See also| Subgroup temperaments #Joan }}


[[Tp_tuning|POT2 generator]]: ~11/9 = 350.525
Scales:
* [[Joan5]] – 5-tone haplotonic scale
* [[Joan7]] – 7-tone albitonic scale
* [[Joan9]] – 9-tone mega-albitonic scale
* [[Joan11]] – 11-tone chromatic scale


[[Gencom|Gencom]]: [2 11/9; 243/242]
== Tutone ==
{{See also| Hemimean clan #Tutone }}


Gencom map: [&lt;1 1 0 0 2|, &lt;0 2 0 0 5|]
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]


Map: [&lt;1 1 2|, &lt;0 2 5|]
Scales:  
* [[Tutone6]] – 6-tone haplotonic scale
* [[Tutone7]] – 7-tone albitonic scale
* [[Tutone13]] – 13-tone chromatic scale


EDOs: 7, 17, 24, 65, 89, 202, 291, 380
== Stacks ==
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}


[[Tp_tuning#T2 tuning|RMS error]]: 0.3021 cents
Scales:
* [[Stacks5]] – 5-tone haplotonic scale
* [[Stacks8]] – 8-tone albitonic scale
* [[Stacks11]] – 11-tone chromatic scale
* [[Stacks19]] – 19-tone mega-chromatic scale


[[File:neuter_380edo.png|alt=neuter_380edo.png|neuter_380edo.png]]
== Bleu ==
{{See also| No-fives subgroup temperaments #Bleu }}


[[neutraltet7|Seven note albitonic scale]]
Scales:
* [[Bleu8]] – 8-tone haplotonic scale
* [[Bleu9]] – 9-tone albitonic scale
* [[Bleu17]] – 17-tone chromatic scale


[[neutraltet10|Ten note chromatic scale]]
== Sephiroth ==
{{See also| No-threes subgroup temperaments #Sephiroth }}


[[neutraltet17|Seventeen note mega chromatic scale]]
Scales:
* [[Sephiroth7]] – 7-tone haplotonic scale
* [[Sephiroth10]] – 10-tone albitonic scale
* [[Sephiroth13]] – 13-tone chromatic scale
* [[Sephiroth16]] – 16-tone mega-chromatic scale


==Music==
== Archy ==
[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 Neuter[7], 24et tuning
{{Main| Superpyth }}
{{See also| Archytas clan #Archy }}


=Slendric=
Scales:
Subgroup: 2.3.7
* [[Archy5]] – 5-tone haplotonic scale
* [[Archy7]] – 7-tone albitonic scale
* [[Archy12]] – 12-tone chromatic scale


Comma: 1029/1024
=== Supra ===
{{Main| Superpyth }}
{{See also| Archytas clan #Supra }}


Sval name: 5&amp;21
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]


[[Tp_tuning|POT2 generator]]: ~8/7 = 233.688
Scales:
* [[Supra7]] – 7-tone [[albitonic scale]]
* [[Supra12]] – 12-tone [[chromatic scale]]


[[Gencom|Gencom]]: [2 8/7; 1029/1024]
=== Supraphon ===
{{Main| Superpyth }}
{{See also| Archytas clan #Supraphon }}


Gencom map: [&lt;1 1 0 3|, &lt;0 3 0 -1|]
== Suhajira ==
{{See also| Archytas clan #Suhajira }}


Map: [&lt;1 1 3|, &lt;0 3 -1|]
Scales:  
* [[Suhajira7]] – 7-tone haplotonic scale
* [[Suhajira10]] – 10-tone albitonic scale
* [[Suhajira17]] – 17-tone chromatic scale


EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
== Machine ==
{{See also| Subgroup temperaments #Machine}}


[[Tp_tuning#T2 tuning|RMS error]]: 0.3202 cents
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]


[[File:slendric_190edo.jpg|alt=slendric_190edo.jpg|slendric_190edo.jpg]]
Scales:
* [[Machine5]] – 5-tone haplotonic scale
* [[Machine6]] – 6-tone albitonic scale
* [[Machine11]] – 11-tone chromatic scale


[[slendric5|Five note haplotonic scale]]
== Deutone ==
{{See also| Hemimean clan #Deutone }}


[[slendric6|Six note haplotonic scale]]
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]


[[slendric11|Eleven note albitonic scale]]
Scales:
* [[Deutone6]] – 6-tone haplotonic scale
* [[Deutone7]] – 7-tone albitonic scale
* [[Deutone13]] – 13-tone chromatic scale


[[slendric16|Sixteen note chromatic scale]]
== Negra ==
{{Main| Negri }}
{{See also| Marvel temperaments #Negri }}


==Music==
== Porkypine ==
<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3 The 11th Slendric Fanfare]</span></span>
{{Main| Porcupine }}
{{See also| Porcupine family #Porcupine }}


<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3 16 Slendric Virgins]</span></span>
Scales:
* [[Porkypine7]] – 7-tone haplotonic scale
* [[Porkypine8]] – 8-tone albitonic scale
* [[Porkypine15]] – 15-tone chromatic scale


by [[Chris_Vaisvil|Chris Vaisvil]]
== Skateboard ==
{{See also| Subgroup temperaments #Skateboard }}


=Huntington=
Scales:
Subgroup: 2.5.7.13
* [[Skateboard7]] – 7-tone haplotonic scale
* [[Skateboard11]] – 11-tone albitonic scale
* [[Skateboard15]] – 15-tone chromatic scale


Commas: 640/637, 10985/10976
== Augment ==
{{See also| No-threes subgroup temperaments #Augment }}


Sval name: 10&amp;27
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]


[[Tp_tuning|POT2 generator]]: ~16/13 = 357.002
Scales:
* [[Augment6]] – 6-tone haplotonic scale
* [[Augment9]] – 9-tone albitonic scale
* [[Augment12]] – 12-tone chromatic scale


[[Gencom|Gencom]]: [2 16/13; 640/637 10985/10976]
== Semaphore ==
{{Main| Semaphore and godzilla }}
{{See also| Semaphoresmic clan #Semaphore }}


Gencom map: [&lt;1 0 5 4 0 4|, &lt;0 0 -9 -4 0 -1|]
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
Scales:  
* [[Semaphore5]] – 5-tone haplotonic scale
* [[Semaphore9]] – 9-tone albitonic scale
* [[Semaphore14]] – 14-tone chromatic scale


EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd
== Kryptonite ==
{{See also| Subgroup temperaments #Kryptonite }}


[[Tp_tuning#T2 tuning|RMS error]]: 0.3452 cents
Scales:
* [[Kryptonite9]] – 9-tone albitonic scale
* [[Kryptonite10]] – 10-tone albitonic scale
* [[Kryptonite19]] – 19-tone mega-chromatic scale


[[File:huntington_400edo.jpg|alt=huntington_400edo.jpg|huntington_400edo.jpg]]
== Oregon ==
{{See also| Orgonia #Oregon }}


[[huntington7|Seven note haplotonic scale]]
Scales:
* [[Oregon7]] – 7-tone haplotonic scale
* [[Oregon11]] – 11-tone albitonic scale
* [[Oregon15]] – 15-tone chromatic scale


[[huntington10|Ten note albitonic scale]]
== Antikythera ==
{{See also| Jubilismic clan #Antikythera }}


[[huntington17|Seventeen note chromatic scale]]
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]


=Tobago=
Scales:
Subgroup: 2.3.11.13/5
* [[Antikythera6]] – 6-tone haplotonic scale
* [[Antikythera10]] – 10-tone albitonic scale
* [[Antikythera16]] – 16-tone chromatic scale


Commas: 243/242, 676/675
== Glacial ==
{{See also| Subgroup temperaments #Glacial }}


Sval name: 10&amp;14
Scales:  
* [[Glacial6]] – 6-tone haplotonic scale
* [[Glacial7]] – 7-tone albitonic scale
* [[Glacial13]] – 13-tone chromatic scale


Related temperaments: [[Chromatic_pairs#Neuter|neuter]], [[The_Archipelago|barbados]]
== Leantone ==
{{See also| Hemimean clan #Leantone }}


[[Tp_tuning|POT2 generator]]: ~15/13 = 249.312
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]


[[Gencom|Gencom]]: [55/39 15/13; 243/242 676/675]
Scales:
* [[Leantone6]] – 6-tone haplotonic scale
* [[Leantone7]] – 7-tone albitonic scale
* [[Leantone13]] – 13-tone chromatic scale


Gencom map: [&lt;2 4 -2 0 9 2|, &lt;0 -2 3/2 0 -5 -3/2|]
== Notes ==


Map: [&lt;2 0 -1 -2], &lt;0 2 5 3]]
[[Category:Lists of scales]]
[[Category:Tempered scales| ]]
[[Category:Listen]]
[[Category:Rank 2]]


EDOs: 10, 14, 24, 58, 82, 130
{{todo|cleanup}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3533 cents
 
[[tobago6|Six note haplotonic scale]]
 
[[tobago10|Ten note albitonic scale]]
 
[[tobago14|Fourteen note chromatic scale]]
 
[[tobago24|Twentyfour note quatertone scale]]
 
=Pepperoni=
Subgroup: 2.3.11/7.13/7
 
Commas: 352/351, 364/363
 
Sval name: 5&amp;12
 
Related temperament: The [[Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 703.856
 
[[Gencom|Gencom]]: [2 3/2; 352/351 364/363]
 
Gencom map: [&lt;1 1 0 -8/3 1/3 7/3|, &lt;0 1 0 11/3 -1/3 -10/3|]
 
Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
 
EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3789 cents
 
[[File:pepperoni_271edo.png|alt=pepperoni_271edo.png|pepperoni_271edo.png]]
 
[[pepperoni7|Seven note albitonic scale]]
 
[[pepperoni12|Twelve note chromatic scale]]
 
=Wizz=
Subgroup: 2.5.11
 
Commas: 15625/15488
 
Sval name: 6&amp;16
 
Related temperaments: [[Marvel_temperaments#Wizard-11-limit|wizard]]
 
Generator: ~5/4 = 383.768
 
[[Gencom|Gencom]]: [125/88 5/4; 15625/15488]
 
Gencom map: [&lt;2 0 4 0 5| &lt;0 0 1 0 3|]
 
Map: [&lt;2 0 -7|, &lt;0 1 3|]
 
EDOs: 6, 16, 22, 28, 50, 122, 172, 222
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3997
 
[[wizz6|Six note haplotonic scale]]
 
[[wizz10|Ten note albitonic scale]]
 
[[wizz16|Sixteen note chromatic scale]]
 
=Bossier=
Subgroup: 2.7.11.13
 
Commas: 1573/1568, 15488/15379
 
Sval name: 3&amp;17
 
[[Tp_tuning|POT2 generator]]: ~14/11 = 421.309
 
[[Gencom|Gencom]]: [2 14/11; 1573/1568 15488/15379]
 
Gencom map: [&lt;1 0 0 0 1 3|, &lt;0 0 0 8 7 2|]
 
Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
 
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4043 cents
 
[[File:bossier_225edo.jpg|alt=bossier_225edo.jpg|bossier_225edo.jpg]]
 
[[bossier8|Eight note albitonic scale]]
 
[[bossier11|Eleven note chromatic scale]]
 
[[bossier14|Fourteen note mega chromatic scale]]
 
=Penta=
Subgroup: 2.9.7.11
 
Commas: 896/891, 26411/26244
 
Svalname: 8&amp;11
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 438.465
 
[[Gencom|Gencom]]: [2 9/7; 896/891 26411/26244]
 
Gencom map: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]
 
Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]
 
EDOs: 8, 11, 30, 41, 52
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4262 cents
 
[[penta5|Five note haplotonic scale]]
 
[[penta8|Eight note albitonic scale]]
 
[[penta11|Eleven note chromatic scale]]
 
[[penta19|Nineteen note mega chromatic scale]]
 
=Bluebirds=
Subgroup: 2.11.13
 
Comma: 265837/262144
 
[[Tp_tuning|POT2 generator]]: ~143/128 = 182.368
 
Gencom: [2 143/128; 265837/262144]
 
Gencom map: [&lt;1 0 0 0 3 4|, &lt;0 0 0 0 3 -2|]
 
Map: [&lt;1 0 6|, &lt;0 3 -2|]
 
EDOs: 6, 7, 13, 33, 46, 79, 125c, 204bc, 329bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4444 cents
 
[[bluebirds6|Six note haplotonic scale]]
 
[[bluebirds7|Seven note albitonic scale]]
 
[[bluebirds13|Thirteen note chromatic scale]]
 
=Marveltri=
Subgroup: 2.5.9/7
 
Comma: 225/224
 
Sval name: 3&amp;13
 
Related temperaments: marvel, 22&amp;47, magic
 
[[Tp_tuning|POT2 generator]]: ~5/4 = 383.638
 
[[Gencom|Gencom]]: [2 5/4; 225/224]
 
Gencom map: [&lt;1 2/5 2 -1/5|, &lt;0 -4/5 1 2/5|]
 
Map: [&lt;1 0 5|, &lt;0 1 -2|]
 
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4801 cents
 
[[marveltri7|Seven note albitonic scale]]
 
[[marveltri10|Ten note chromatic scale]]
 
[[marveltri13|Thirteen note mega chromatic scale]]
 
=Edson=
Subgroup: 2.3.7/5.11/5.13/5
 
Commas: 196/195, 352/351, 364/363
 
Related temperaments: [[Hemifamity_family#Pele|pele]], cassandra
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 703.414
 
[[Gencom|Gencom]]: [2 3/2; 196/195, 352/351, 364/363]
 
Gencom map: [&lt;1 1 -5 -1 2 4|, &lt;0 1 29/4 5/4 -11/4 -23/4|]
 
Map: [&lt;1 0 10 17 22|, &lt;0 1 -6 -10 -13|]
 
EDOs: 12, 17, 29, 621bcde
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5102 cents
 
[[edson5|Five note haplotonic scale]]
 
[[edson7|Seven note albitonic scale]]
 
[[edson12|Twelve note chromatic scale]]
 
[[edson17|Seventeen note mega chromatic scale]]
 
=Photia=
Subgroup: 2.3.5.17.19
 
Commas: 171/170, 256/255, 324/323
 
Sval name: 12&amp;41
 
Related temperament: [[Schismatic_family|schismatic]]
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 701.470
 
[[Gencom|Gencom]]: [2 3/2; 171/170 256/255 324/323]
 
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]
 
Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
 
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5374 cents
 
[[File:photia_65edo.png|alt=photia_65edo.png|photia_65edo.png]]
 
[[photia7|Seven note albitonic scale]]
 
[[photia12|Twelve note chromatic scale]]
 
=Shoe=
Subgroup: 2.5.7.11.13
 
Commas: 176/175, 640/637, 847/845
 
Sval name: 16&amp;21
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 227.108
 
[[Gencom|Gencom]]: [2 8/7; 176/175 640/637 847/845]
 
Gencom map: [&lt;1 0 1 3 1 2|, &lt;0 0 7 -1 13 9|]
 
Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
 
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5433 cents
 
[[File:shoe_37edo.jpg|alt=shoe_37edo.jpg|shoe_37edo.jpg]]
 
[[shoe5|shoe5]] - five note mini [[haplotonic_scale|haplotonic scale]]
 
[[shoe6|shoe6]] - six note [[haplotonic_scale|haplotonic scale]]
 
[[shoe11|shoe11]] - eleven note note [[albitonic_scale|albitonic scale]]
 
[[shoe16|shoe16]] - sixteen note [[chromatic_scale|chromatic scale]]
 
=Roulette=
Subgroup: 2.5.7.11.13
 
Commas: 176/175, 1375/1372, 640/637
 
Sval name: 6&amp;25
 
Related temperament: [[Würschmidt_family|Hemiwürschmidt]]
 
[[Tp_tuning|POT2 generator]]: ~28/25 = 194.594
 
[[Gencom|Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
 
Gencom map: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]
 
Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
 
EDOs: 6, 7, 13, 19, 25, 31, 37
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5567 cents
 
[[File:roulette_37edo.jpg|alt=roulette_37edo.jpg|roulette_37edo.jpg]]
 
[[roulette6|roulette6]] - six note [[haplotonic_scale|haplotonic scale]]
 
[[roulette7|roulette7]] - seven note [[albitonic_scale|albitonic scale]]
 
[[roulette13|roulette13]] - thirteen note [[chromatic_scale|chromatic scale]]
 
[[roulette19|roulette19]] - nineteen note [[mega_chromatic_scale|mega chromatic scale]]
 
=Silver=
Subgroup: 2.5.7.13.17
 
Commas: 170/169, 640/637, 5525/5488
 
Sval name: 10&amp;27
 
[[Tp_tuning|POT2 generator]]: ~13/8 = 842.711
 
[[Gencom|Gencom]]: [2 13/8; 170/169 640/637 5525/5488]
 
Gencom map: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]
 
Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
 
EDOs: 7, 10, 17, 27, 37, [[47edo|47]], 84, 131, 178e, 309cde, [[487edo|487bcdee]]
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5886 cents
 
[[File:silver_487edo.jpg|alt=silver_487edo.jpg|silver_487edo.jpg]]
 
[[silver7|silver7]] -seven note [[haplotonic_scale|haplotonic scale]]
 
[[silver10|silver10]] - ten note [[albitonic_scale|albitonic scale]]
 
[[silver17|silver17]] - seventeen note [[chromatic_scale|chromatic scale]]
 
=Baldy=
Subgroup: 2.9.5.7.13
 
Commas: 225/224, 325/324, 640/637
 
Sval name: 6&amp;35
 
Related temperament: [[Schismatic_family|Garibaldi]]
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 204.090
 
[[Gencom|Gencom]]: [2 9/8; 225/224 325/324 640/637]
 
Gencom map: [&lt;1 3/2 3 4 0 2|, &lt;0 1/2 -4 -7 0 10|]
 
Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
 
EDOs: 6, 11, 17, 23, 29, 35, 41, [[47edo|47]], 100, [[147edo|147]], 488cd, 635cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5999 cents
 
[[File:baldy_147edo.jpg|alt=baldy_147edo.jpg|baldy_147edo.jpg]]
 
[[baldy6|baldy6]] - six note [[haplotonic_scale|haplotonic scale]]
 
[[baldy11|baldy11]] - eleven note [[albitonic_scale|albitonic scale]]
 
[[baldy17|baldy17]] - seventeen note [[chromatic_scale|chromatic scale]]
 
=Guanyintet=
Subgroup: 2.5.7/3.11/3
 
Commas: 176/175, 540/539
 
Svalname: 4&amp;9
 
Related temperaments: guanyin, orwell
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 270.093
 
[[Gencom|Gencom]]: [2 7/6; 176/175 540/539]
 
Gencom map: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]
 
Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]
 
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.6028 cents
 
[[guanyintet5|Five note haplotonic scale]]
 
[[guanyintet9|Nine note albitonic scale]]
 
[[guanyintet13|Thirteen note chromatic scale]]
 
=Radon=
Subgroup: 2.3.7.11
 
Commas: 896/891, 1029/1024
 
Sval name: 5&amp;36
 
Related temperament: [[Gamelismic_clan|Rodan]]
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 234.381
 
[[Gencom|Gencom]]: [2 8/7; 896/891 1029/1024]
 
Gencom map: [&lt;1 1 0 3 6|, &lt;0 3 0 -1 -13|]
 
Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
 
EDOs: 5, 36, 41, 87, 128
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.6502 cents
 
[[File:radon_128edo.jpg|alt=radon_128edo.jpg|radon_128edo.jpg]]
 
[[radon5|Five note haplotonic scale]]
 
[[radon11|Eleven note albitonic scale]]
 
[[radon16|Sixteen note chromatic scale]]
 
=Gariberttet=
Subgroup: 2.5/3.7/3.13/11
 
Commas: 275/273, 847/845
 
Svalname: 4&amp;29
 
[[Tp_tuning|POT2 generator]]: ~13/11 = 293.679
 
[[Gencom|Gencom]]: [2 13/11; 275/273 847/845]
 
Gencom map: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]
 
Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]
 
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.6914 cents
 
[[gariberttet5|Five note haplotonic scale]]
 
[[gariberttet9|Nine note albitonic scale]]
 
[[gariberttet13|Thirteen note chromatic scale]]
 
=Namo=
Subgroup: 2.3.11.13
 
Commas: 144/143, 243/242
 
Related temperament: [[Valinorismic_temperaments#Mandos|mandos]], mohajira, hemif
 
[[Tp_tuning|POT2 generator]]: ~11/9 = 351.488
 
[[Gencom|Gencom]]: [2 11/9; 144/143 243/242]
 
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 0 0 5 -1|]
 
Map: [&lt;1 1 2 4|, &lt;0 2 5 -1|]
 
EDOs: 7, 10, 17, 41, 58, 99cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7038 cents
 
[[namo7|Seven note haplotonic scale]]
 
[[namo10|Ten note albitonic scale]]
 
[[namo17|Seventeen note chromatic scale]]
 
=Sentry=
Group: 2.5/3.9/7
 
Commas: 245/243
 
Svalname: 3&amp;5
 
Related temperaments: sensi
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 440.902
 
[[Gencom|Gencom]]: [2 9/7; 245/243]
 
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]
 
Map: [&lt;1 0 0|, &lt;0 2 1|]
 
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7105 cents
 
[[sentry5|Five note haplotonic scale]]
 
[[sentry8|Eight note albitonic scale]]
 
[[sentry11|Eleven note note chromatic scale]]
 
=Hemif=
Subgroup: 2.3.7.11.13
 
Commas: 144/143, 243/242, 364/363
 
Related temperament: [[Breedsmic_temperaments|Hemififths]], namo
 
[[Tp_tuning|POT2 generator]]: ~11/9 = 351.691
 
[[Gencom|Gencom]]: [2 11/9; 144/143 243/242 364/363]
 
Gencom map: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]
 
Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
 
EDOs: 7, 10, 17, 24, 41, 58
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7167 cents
 
[[File:hemif_58edo.jpg|alt=hemif_58edo.jpg|hemif_58edo.jpg]]
 
[[hemif7|Seven note haplotonic scale]]
 
[[hemif10|Ten note albitonic scale]]
 
[[hemif17|Seventeen note chromatic scale]]
 
=Garibaldi=
Group: 2.3.5.7
 
Commas: 225/224, 3125/3087
 
Val name: 12&amp;29
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 702.085
 
[[Gencom|Gencom]]: [2 3/2; 225/224 3125/3087]
 
Gencom map: [&lt;1 1 7 11], &lt;0 1 -8 -14|]
 
Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
 
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7257 cents
 
[[File:garibaldi_94edo.png|alt=garibaldi_94edo.png|garibaldi_94edo.png]]
 
[[garibaldi12|Twelve note albitonic scale]]
 
[[garibaldi17|Seventeen note chromatic scale]]
 
=Mabila=
Subgroup: 2.5.7
 
Comma: 1071875/1048576
 
Sval name: 7&amp;9
 
[[Tp_tuning|POT2 generator]]: ~175/128 = 527.236
 
[[Gencom|Gencom]]: [2 175/128; 1071875/1048576]
 
Gencom map: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]
 
Map: [&lt;1 1 5|, &lt;0 3 -5|]
 
EDOs: 7, 9, 16, 25, 41, 66, 305bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7729 cents
 
[[File:mabila_66edo.jpg|alt=mabila_66edo.jpg|mabila_66edo.jpg]]
 
[[mabila7|Seven note haplotonic scale]]
 
[[mabila9|Nine note albitonic scale]]
 
[[mabila16|Sixteen note chromatic scale]]
 
=Indium=
Subgroup: 2.5/3.7/3.11/3
 
Commas: 3025/3024, 3125/3087
 
Sval name: 8&amp;33
 
[[Tp_tuning|POT2 generator]]: ~12/11 = 147.010
 
[[Gencom|Gencom]]: [2 12/11; 3025/3024 3125/3087]
 
Gencom map: [&lt;1 -1/2 -1/2 -1/2 3/2|, &lt;0 -15/4 9/4 25/4 -19/4|]
 
Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
 
EDOs: 33, 41, 49, 57, 106, 204, 253
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7788 cents
 
[[File:indium_253edo.png|alt=indium_253edo.png|indium_253edo.png]]
 
[[indium8|Eight note albitonic scale]]
 
[[indium17|Seventeen note chromatic scale]]
 
==Music==
<span style=""><span style="">[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 The Cry of Indium]</span></span> (in Indium 17) by [http://www.chrisvaisvil.com/ Chris Vaisvil] =&gt; [http://chrisvaisvil.com/?p=1532 details]
 
=Starlingtet=
Group: 2.5/3.7/3
 
Comma: 126/125
 
Svalname: 4&amp;15
 
Related temperaments: starling; becomes myna
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 311.154
 
[[Gencom|Gencom]]: [2 6/5; 126/125]
 
Gencom map: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]
 
Map: [&lt;1 0 -1|, &lt;0 1 3|]
 
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8398 cents
 
[[starlingtet4|Four note haplotonic scale]]
 
[[starlingtet7|Seven note albitonic scale]]
 
[[starlingtet11|Eleven note chromatic scale]]
 
=Lovecraft=
Group: 2.11.13
 
Commas: 1352/1331
 
[[Tp_tuning|POT2 generator]]: ~13/11 = 279.318
 
[[Gencom|Gencom]]: [2 13/11; 1352/1331]
 
Gencom map: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]
 
Map: [&lt;1 1 0|, &lt;0 2 3|]
 
EDOS: 13, 30, 43, 73, 116b
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8449 cents
 
[[File:lovecraft_116edo.png|alt=lovecraft_116edo.png|lovecraft_116edo.png]]
 
[[lovecraft5|Five note haplotonic scale]]
 
[[lovecraft9|Nine note albitonic scale]]
 
[[lovecraft13|Thirteen note chromatic scale]]
 
=Blackbirds=
Subgroup: 2.11.13
 
Comma: 29282/28561
 
[[Tp_tuning|POT2 generator]]: ~11/8 = 546.660
 
Gencom: [13/11 11/8; 29282/28561]
 
Gencom map: [&lt;4 0 0 0 12 13|, &lt;0 0 0 0 1 1|]
 
Map: [&lt;4 0 1|, &lt;0 1 1|]
 
EDOs: 4, 16, 20, 24, 44, 68, 112c, 180bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8685 cents
 
[[blackbirds8|Eight note albitonic scale]]
 
[[blackbirds12|Twelve note chromatic scale]]
 
[[blackbirds16|Sixteen note mega chromatic scale]]
 
=Laz=
Subgroup: 2.5.7/3.11/3.13/3
 
Commas: 144/143, 176/175, 196/195
 
Related temperaments: [[Orwellismic_family#Guanyin-Georgian|georgian]], winston
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 269.300
 
[[Gencom|Gencom]]: [2 7/6; 144/143 176/175 196/195]
 
Gencom map: [&lt;1 -5/4 3 -1/4 7/4 -1/4|, &lt;0 -1/4 -3 3/4 -21/4 19/4|]
 
Map: [&lt;1 0 2 -2 6|, &lt;0 3 -1 5 -5|]
 
EDOs: 9, 31, 40, 49, 58, 156bde, 205bde
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8790 cents
 
[[laz5|Five note haplotonic scale]]
 
[[laz9|Nine note albitonic scale]]
 
[[laz13|Thirteen note chromatic scale]]
 
=Myna=
Group: 2.3.5.7
 
Commas: 126/125, 1728/1715
 
Val name: 4&amp;27
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 310.146
 
[[Gencom|Gencom]]: [2 6/5; 126/125 1728/1715]
 
Gencom map: [&lt;1 -1 0 1|,&lt;0 10 9 7|]
 
Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
 
EDOs: 4, 27, 31, 58, 89, 236c, 325cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.9516 cents
 
[[File:myna_89edo.jpg|alt=myna_89edo.jpg|myna_89edo.jpg]]
 
[[myna7|Seven note haplotonic scale]]
 
[[myna11|Eleven note albitonic scale]]
 
[[myna15|Fifteen note chromatic scale]]
 
=Greeley=
Subgroup: 2.5/3.7/3.11/3
 
Commas: 121/120, 126/125
 
Related temperament: [[Porcupine_family#Opossum|Opossum]], [[Starling_temperaments#Nusecond temperament|Nusecond]]
 
[[Tp_tuning|POT2 generator]]: ~11/10 = 155.776
 
[[Gencom|Gencom]]: [2 11/10; 121/120 126/125]
 
Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]
 
Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
 
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.034 cents
 
[[File:greeley_100edo.png|alt=greeley_100edo.png|greeley_100edo.png]]
 
[[greeley8|Eight note albitonic scale]]
 
[[greeley15|Fifteen note chromatic scale]]
 
==Music==
<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 A Greeley Steals Halloween]</span></span> by [http://chrisvaisvil.com/?p=1485 Chris Vaisvil] in Greeley 15
 
=Semidim=
Subgroup: 2.5/3.7/3.11/3.13/3
 
Commas: 121/120, 169/168, 275/273
 
Sval name: 8&amp;29
 
[[Tp_tuning|POT2 generator]]: ~13/10 = 453.242
 
[[Gencom|Gencom]]: [2 13/10; 121/120 169/168 275/273]
 
Gencom map: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]
 
Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
 
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.052 cents
 
[[File:semidim_770edo.png|alt=semidim_770edo.png|semidim_770edo.png]]
 
[[semidim8|Eight note albitonic scale]]
 
[[semidim13|Thirteen note chromatic scale]]
 
=Mothwelltri=
Group: 2.7/3.11
 
Comma: 99/98
 
Svalname: 1&amp;4
 
Related temperament: Orwell
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 273.174
 
[[Gencom|Gencom]]: [2 7/6; 99/98]
 
Gencom map: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]
 
Map: [&lt;1 0 1|, &lt;0 1 2|]
 
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.064 cents
 
[[mothwelltri5|Five note haplotonic scale]]
 
[[mothwelltri9|Nine note albitonic scale]]
 
[[mothwelltri13|Thirteen note chromatic scale]]
 
=Sulis=
Subgroup: 2.5.9/7.11/9
 
Commas: 99/98, 176/175
 
Related temperament: [[Marvel_family#Minerva|minerva]], würschmidt
 
[[Tp_tuning|POT2 generator]]: ~5/4 = 386.558
 
[[Gencom|Gencom]]: [2 5/4; 99/98 176/175]
 
Gencom map: [&lt;1 4/9 2 -1/9 -1/9|, &lt;0 -4/3 1 -2/3 4/3|]
 
Map: [&lt;1 0 5 -9|, &lt;0 1 -2 4|]
 
EDOs: 22, 25, 28, 31, 59, 90c, 149c
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.074 cents
 
[[sulis7|Seven note haplotonic scale]]
 
[[sulis10|Ten note albitonic scale]]
 
[[sulis13|Thirteen note chromatic scale]]
 
=Skwares=
Subgroup: 2.3.7.11
 
Commas: 99/98, 243/242
 
Related temperament: [[Meantone_family|squares]]
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 425.244
 
[[Gencom|Gencom]]: [2 9/7; 99/98 243/242]
 
Gencom map: [&lt;1 3 0 6 7|, &lt;0 -4 0 -9 -10|]
 
Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
 
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.099 cents
 
[[File:skwares_206edo.png|alt=skwares_206edo.png|skwares_206edo.png]]
 
[[skwares8|Eight note albitonic scale]]
 
[[skwares11|Eleven note mega albitonic scale]]
 
[[skwares14|Fourteen note chromatic scale]]
 
=Orwell=
Group: 2.3.5.7.11
 
Commas: 99/98, 121/120, 176/175
 
Val name: 9&amp;22
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 271.426
 
[[Gencom|Gencom]]: [2 7/6; 99/98 121/120 176/175]
 
Gencom map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
 
Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
 
EDOs: 9, 22, 31, 53, 84e
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.151 cents
 
[[File:orwell_84edo.png|alt=orwell_84edo.png|orwell_84edo.png]]
 
[[orwell5|Five note haplotonic scale]]
 
[[orwell9|Nine note albitonic scale]]
 
[[orwell13|Thirteen note chromatic scale]]
 
=Magicaltet=
Group: 2.5/3.7.11
 
Commas: 100/99, 385/384
 
Related temperaments: 4&amp;7&amp;15, superkleismic, magic
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 322.659
 
[[Gencom|Gencom]]: [2 6/5; 100/99 385/384]
 
Gencom map: [&lt;1 -1/2 1/2 2 4|, &lt;0 1/2 -1/2 3 -2|]
 
Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]
 
EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.206 cents
 
[[magicaltet7|Seven note albitonic scale]]
 
[[magicaltet11|Eleven note chromatic scale]]
 
[[magicaltet15|Fifteen note mega scale]]
 
=Magic=
Group: 2.3.5.7.11
 
Commas: 100/99, 225/224, 245/243
 
Val name: 19&amp;22
 
[[Tp_tuning|POT2 generator]]: ~5/4 = 380.696
 
[[Gencom|Gencom]]: [2 5/4; 100/99 225/224 245/243]
 
Gencom map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
 
Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
 
EDOs: 19, 22, 41, 104, 145
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.226 cents
 
[[File:magic_145edo.jpg|alt=magic_145edo.jpg|magic_145edo.jpg]]
 
[[magic7|Seven note haplotonic scale]]
 
[[magic10|Ten note albitonic scale]]
 
[[magic13|Thirteen note chromatic scale]]
 
[[magic16|Sixteen note mega chromatic scale]]
 
==Music==
<span style="">[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3 Chromatic piece in magic 16]</span> [http://www.chrisvaisvil.com/ Chris Vaisvil]
 
=Kiribati=
Subgroup: 2.9/5.7/3.11/9
 
Commas: 100/99, 245/242
 
Related temperament: [[Octagar_family|nakika]], octacot
 
[[Tp_tuning|POT2 generator]]: ~21/20 = 87.892
 
[[Gencom|Gencom]]: [2 21/20; 100/99 245/242]
 
Gencom map: [&lt;1 1/10 -4/5 11/10 1/5|, &lt;0 -3/2 -1 3/2 1|]
 
Map: [&lt;1 1 1 0|, &lt;0 -2 3 4|]
 
EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.245 cents
 
[[kiribati13|Thirteen note chromatic scale]]
 
[[kiribati14|Fourteen note chromatic scale]]
 
=Score=
Subgroup: 2.7.11.13
 
Commas: 343/338, 847/832
 
[[Tp_tuning|POT2 generator]]: ~11/8 = 540.099
 
[[Gencom|Gencom]]: [2 11/8; 343/338 847/832]
 
Gencom map: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]
 
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
 
EDOs: 5, 7, 9, 11, 20
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.282 cents
 
[[File:score_20edo.jpg|alt=score_20edo.jpg|score_20edo.jpg]]
 
[[score5|Five note haplotonic scale]]
 
[[score7|Seven note albitonic scale]]
 
[[score9|Nine note mega albitonic scale]]
 
[[score11|Eleven note chromatic scale]]
 
=Sensation=
Group: 2.3.5.7.13
 
Commas: 91/90, 126/125, 169/168
 
Related temperaments: Sensi, Sensis, Sensus
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 443.322
 
[[Gencom|Gencom]]: [2 9/7; 91/90 126/125 169/168]
 
Gencom map: [&lt;1 -1 -1 -2 0 0|, &lt;0 7 9 13 0 10|]
 
Map: [&lt;1 6 8 11 10|, &lt;0 -7 -9 -13 -10|]
 
EDOs: 19, 27, 46, 111de, 157de
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.321 cents
 
[[sensi5|Five note haplotonic scale]]
 
[[sensi8|Eight note albitonic scale]]
 
[[sensi11|Eleven note mega albitonic scale]]
 
[[sensi19|Nineteen note chromatic scale]]
 
=Sensi=
Group: 2.3.5.7
 
Commas: 126/125, 245/243
 
Val name: 19&amp;27
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 443.383
 
[[Gencom|Gencom]]: [2 9/7; 126/125 245/243]
 
Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]
 
Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
 
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.323 cents
 
[[File:sensi_46edo.jpg|alt=sensi_46edo.jpg|sensi_46edo.jpg]]
 
[[sensi5|Five note haplotonic scale]]
 
[[sensi8|Eight note albitonic scale]]
 
[[sensi11|Eleven note mega albitonic scale]]
 
[[sensi19|Nineteen note chromatic scale]]
 
=Meantone=
Group: 2.3.5.7
 
Commas: 81/80, 126/125
 
Val name: 12&amp;19
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 696.495
 
[[Gencom|Gencom]]: [2 3/2; 81/80 126/125]
 
Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]
 
Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
 
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.382 cents
 
[[File:meantone_31edo.jpg|alt=meantone_31edo.jpg|meantone_31edo.jpg]]
 
[[meantone5|Five note haplotonic scale]]
 
[[meantone7|Seven note albitonic scale]]
 
[[meantone12|Twelve note chromatic scale]]
 
=Mohaha=
Subgroup: 2.3.5.11
 
Commas: 81/80, 121/120
 
Related temperament: [[Meantone_family|mohajira]]
 
[[Tp_tuning|POT2 generator]]: ~11/9 = 348.094
 
[[Gencom|Gencom]]: [2 11/9; 81/80 121/120]
 
Gencom map: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]
 
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
 
EDOs: 24, 31, 55, 69d, 100d, 131bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.392 cents
 
[[File:mohaha_131edo.png|alt=mohaha_131edo.png|mohaha_131edo.png]]
 
[[mohaha7|Seven note albitonic scale]]
 
[[mohaha10|Ten note chromatic scale]]
 
==Music==
[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 Mohaha10ping2] by [[Billy_Stiltner|Billy Stiltner]]
 
=Joan=
Subgroup: 2.9.7.11
 
Commas: 99/98, 9317/9216
 
Related temperaments: casablanca, orwell
 
[[Tp_tuning|POT2 generator]]: ~11/8 = 542.672 cents
 
Gencom: [2 11/8; 99/98 9317/9216]
 
Gencom map: [&lt;1 0 0 1 3|, &lt;0 7/2 0 4 1|]
 
Map: [&lt;1 0 1 3|, &lt;0 7 4 1|]
 
EDOs: 11, 20, 31, 42, 115bd, 157bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.424 cents
 
[[joan5|Five note haplotonic scale]]
 
[[joan7|Seven note albitonic scale]]
 
[[joan9|Nine note mega albitonic scale]]
 
[[joan11|Eleven note chromatic scale]]
 
=Tutone=
Subgroup: 2.9.5.7.11
 
Commas: 81/80, 99/98, 126/125
 
Related temperaments: [[Meantone_family|meantone]], [[Hemimean_family#Belobog|belobog]], hemithirds, hemiwürschmidt
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 193.937
 
[[Gencom|Gencom]]: [2 9/8; 81/80 99/98 126/125]
 
Gencom map: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]
 
Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
 
EDOs: 25, 31, 68b, 99b
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.439 cents
 
[[tutone6|Six note haplotonic scale]]
 
[[tutone7|Seven note albitonic scale]]
 
[[tutone13|Thirteen note chromatic scale]]
 
[[File:tutone_99edo.png|alt=tutone_99edo.png|tutone_99edo.png]]
 
=Stacks=
Subgroup: 2.9.15.7.11.13
 
Commas: 100/99, 105/104, 144/143, 196/195
 
Related temperament: [[Magic_family#Magic-13-limit|magic]]
 
Svalname: 11&amp;30
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 439.146
 
[[Gencom|Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
 
Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]
 
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
 
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.540 cents
 
[[stacks5|Five note haplotonic scale]]
 
[[stacks8|Eight note albitonic scale]]
 
[[stacks11|Eleven note note chromatic scale]]
 
[[stacks19|Nineteen note note mega chromatic scale]]
 
=Bleu=
Group: 2.3.7.11.13
 
Commas: 78/77, 99/98, 144/143
 
Sval name: 9&amp;17
 
[[Tp_tuning|POL2 generator]]: ~13/12 = 139.990
 
[[Gencom|Gencom]]: [2 13/12; 78/77 99/98 144/143]
 
Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]
 
Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
 
EDOs: [[17edo|17]], [[43edo|43]], [[60edo|60c]]
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.752 cents
 
[[File:blue_60edo.png|alt=blue_60edo.png|blue_60edo.png]]
 
[[bleu8|bleu8]] - Eight note [[haplotonic_scale|haplotonic scale]]
 
[[bleu9|bleu9]] - Nine note [[albitonic_scale|albitonic scale]]
 
[[bleu17|bleu17]] - Seventeen note [[chromatic_scale|chromatic scale]]
 
[http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3 On a Well Worn Riff (Bleu 17)] by [http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/ Chris Vaisvil]
 
=Sephiroth=
Subgroup: 2.5.11.13.17
 
Commas: 65/64, 170/169, 221/220
 
Related temperament: muggles
 
[[Tp_tuning|POT2 generator]]: ~5/4 = 372.236
 
[[Gencom|Gencom]]: [2 5/4; 65/64 170/169 221/220]
 
Gencom map: [&lt;1 0 2 0 5 4 5|, &lt;0 0 1 0 -5 -1 -3|]
 
Map: [&lt;1 0 15 6 11|, &lt;0 1 -5 -1 -3|]
 
EDOs: 10, 13, 16, 29c
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.774 cents
 
[[sephiroth7|Seven note haplotonic scale]]
 
[[sephiroth10|Ten note albitonic scale]]
 
[[sephiroth13|Thirteen note chromatic scale]]
 
[[sephiroth16|Sixteen note mega chromatic scale]]
 
=Archy=
Subgroup: 2.3.7
 
Comma: 64/63
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 709.321
 
Gencom: [2 3/2; 64/63]
 
Gencom mapping: [&lt;1 1 0 4|, &lt;0 1 0 -2|]
 
Map: [&lt;1 2 2|, &lt;0 -1 2|]
 
EDOs: 5, 12, 17, 22, 27, 137bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.856 cents
 
[[archy5|Five note haplotonic scale]]
 
[[archy7|Seven note albitonic scale]]
 
[[archy12|Twelve note chromatic scale]]
 
=Suhajira=
Subgroup: 2.3.7.11
 
Commas: 64/63, 243/242
 
[[Tp_tuning|POL2 generator]]: ~11/9 = 353.958
 
[[Gencom|Gencom]]: [2 11/9; 64/63 243/242]
 
Gencom map: [&lt;1 1 0 4 2|, &lt;0 2 0 -4 5|]
 
Map: [&lt;1 1 4 2|, &lt;0 2 -4 5|]
 
EDOs: 7, 10, 17, 61de
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.968 cents
 
[[suhajira7|suhajira7]] - Seven note [[haplotonic_scale|haplotonic scale]]
 
[[suhajira10|suhajira10]] - Ten note [[albitonic_scale|albitonic scale]]
 
[[suhajira17|suhajira17]] - note [[chromatic_scale|chromatic scale]]
 
=Mohoho=
Subgroup: 2.3.5.11.13
 
Commas: 66/65, 81/80, 121/120
 
[[Tp_tuning|POT2 generator]]: ~11/9 = 348.916
 
[[Gencom|Gencom]]: [2 11/9; 66/65 81/80 121/120]
 
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]
 
Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
 
EDOs: 17c, 24, 31, 55, 86de, 141cde
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.971 cents
 
=Supra=
Subgroup: 2.3.7.11
 
Commas: 64/63, 99/98
 
Related temperament: [[Suprapyth|suprapyth]]
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 707.192
 
[[Gencom|Gencom]]: [2 3/2; 64/63 99/98]
 
Gencom map: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]
 
Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
 
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.977 cents
 
[[File:supra_56edo.png|alt=supra_56edo.png|supra_56edo.png]]
 
[[supra7|Seven note albitonic scale]]
 
[[supra12|Twelve note chromatic scale]]
 
=Machine=
Subgroup: 2.9.7.11
 
Commas: 64/63, 99/98
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 214.384
 
[[Gencom|Gencom]]: [2 9/8; 64/63 99/98]
 
Gencom map: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]
 
Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
 
EDOs: 5, 6, 11, 17, 28
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.977 cents
 
[[File:machine_28edo.png|alt=machine_28edo.png|machine_28edo.png]]
 
[[machine5|Five note haplotonic scale]]
 
[[machine6|Six note albitonic scale]]
 
[[machine11|Eleven note chromatic scale]]
 
=Deutone=
Subgroup: 2.9.5.7.13
 
Commas: 65/64, 81/80, 91/90
 
Related temperament: [[Meantone_family|meanpop]]
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 191.059
 
[[Gencom|Gencom]]: [2 9/8; 65/64 81/80 91/90]
 
Gencom map: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]
 
Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
 
EDOs: 6, 7, 13, 19, 25e, 44de
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.003 cents
 
[[File:deutone_44edo.png|alt=deutone_44edo.png|deutone_44edo.png]]
 
[[deutone6|Six note haplotonic scale]]
 
[[deutone7|seven note albitonic scale]]
 
[[deutone13|Thirteen note chromatic scale]]
 
=Supraphon=
Subgroup: 2.3.7.11.13
 
Commas: 64/63, 78/77, 99/98
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 706.137
 
[[Gencom|Gencom]]: [2 3/2; 64/63 78/77 99/98]
 
Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]
 
Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
 
EDOs: 5, 7, 12, 17
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.095 cents
 
=Negra=
Subgroup: 2.3.5.7.13
 
Commas: 49/48, 65/64, 91/90
 
Related temperament: [[Marvel_temperaments#Negri-13-limit|negri]]
 
[[Tp_tuning|POT2 generator]]: ~14/13~13/12 = 125.567 cents
 
[[Gencom|Gencom]]: [2 14/13;
 
Gencom map: [&lt;1 2 2 3 0 4|, &lt;0 -4 3 -2 0 -3|]
 
Map: [&lt;1 2 2 3 4|, &lt;0 -4 3 -2 -3|]
 
EDOs: 9, 10, 19, 29, 67cd*f, 86cd*f
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.147 cents
 
=Porkypine=
Subgroup: 2.3.5.11
 
Commas: 55/54, 100/99
 
[[Tp_tuning|POT2 generator]]: ~10/9 = 164.078
 
[[Gencom|Gencom]]: [2 10/9; 55/54 100/99]
 
Gencom map: [&lt;1 2 3 0 4|], &lt;0 -3 -5 0 -4|]
 
Map: [&lt;1 2 3 4|, &lt;0 3 5 4|]
 
EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.287 cents
 
[[porkypine7|Seven note haplotonic scale]]
 
[[porkypine8|Eight note albitonic scale]]
 
[[porkypine15|Fifteen note chromatic scale]]
 
=Skateboard=
Subgroup: 2.5/3.7/3.11.13/9
 
Commas: 56/55, 91/90, 100/99
 
Related temperament: [[Starling_family#Thrasher-13-limit|thrasher]]
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 313.842
 
[[Gencom|Gencom]]: [2 6/5; 56/55 91/90 100/99]
 
Gencom map: [&lt;1 -3/7 4/7 11/7 4 -6/7|, &lt;0 0 -1 -3 -2 2|]
 
Map: [&lt;1 0 -1 2 2|, &lt;0 1 3 2 -2|]
 
EDOs: 11, 15, 19, 23, 42d, 65d
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.396 cents
 
[[skateboard7|Seven note haplotonic scale]]
 
[[skateboard11|Eleven note albitonic scale]]
 
[[skateboard15|Fifteen note chromatic scale]]
 
=Augment=
Subgroup: 2.5.7.11
 
Commas: 56/55, 128/125
 
Related temperament: [[Augmented_family|augmented]]
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 228.275
 
[[Gencom|Gencom]]: [5/4 8/7; 56/55 128/125]
 
Gencom map: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]
 
Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
 
EDOs: 3, 6, 9, 15, 21
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.422 cents
 
[[File:augment_21edo.png|alt=augment_21edo.png|augment_21edo.png]]
 
[[augment6|Six note haplotonic scale]]
 
[[augment9|Nine note albitonic scale]]
 
[[augment12|Twelve note chromatic scale]]
 
=Semaphore=
Subgroup: 2.3.7
 
Comma: 49/48
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 250.385
 
[[Gencom|Gencom]]: [2 7/6; 49/48]
 
Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]
 
Map: [&lt;1 0 2|, &lt;0 2 1|]
 
EDOs: 5, 9, 14, 19, 24, 67c, 91c
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.523 cents
 
[[File:semaphore_24edo.png|alt=semaphore_24edo.png|semaphore_24edo.png]]
 
[[semiphore5|Five note haplotonic scale]]
 
[[semiphore9|Nine note albitonic scale]]
 
[[semiphore14|Fourteen note chromatic scale]]
 
=Kryptonite=
Subgroup: 2.5.7/3.11/3.13/3
 
Commas: 56/55, 78/77, 91/90
 
Related temperaments: [[Sengic_family|krypton]]
 
[[Tp_tuning|POT2 generator]]: ~13/12 = 132.428
 
[[Gencom|Gencom]]: [2 13/12; 56/55 78/77 91/90]
 
Gencom map: [&lt;1 -5/4 2 -1/4 3/4 3/4|, &lt;0 -1/2 3 3/2 -3/2 1/2|]
 
Map: [&lt;1 2 1 2 2|, &lt;0 -3 -2 1 -1|]
 
EDOs: 9, 63, 82bd, 91bde
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.545 cents
 
[[kryptonite9|Nine note albitonic scale]]
 
[[kryptonite10|Ten note albitonic scale]]
 
[[kryptonite19|Nineteen note mega chromatic scale]]
 
=Oregon=
Subgroup: 2.9.15.7.11
 
Commas: 55/54, 64/63, 100/99
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 325.495
 
[[Gencom|Gencom]]: [2 6/5; 55/54 64/63 100/99]
 
Gencom map: [&lt;1 2 3 2 4|, &lt;0 -3/2 -5/2 3 -2|]
 
Map: [&lt;1 1 1 5 2|, &lt;0 3 4 -3 2|]
 
EDOs: 7, 11, 37b, 48b, 59b
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.550 cents
 
[[oregon7|Seven note haplotonic scale]]
 
[[oregon11|Eleven note albitonic scale]]
 
[[oregon15|Fifteen note chromatic scale]]
 
=Antikythera=
Subgroup: 2.9.5.7
 
Commas: 50/49, 64/63
 
Related temperament: [[pajara|pajara]]
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 214.095
 
[[Gencom|Gencom]]: [7/5 8/7; 50/49 64/63]
 
Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]
 
Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
 
EDOS: 4, 6, 10, 16, 22, 28
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.572 cents
 
[[File:antikythera_28edo.png|alt=antikythera_28edo.png|antikythera_28edo.png]]
 
[[antikythera6|Six note haplotonic scale]]
 
[[antikythera10|Ten note albitonic scale]]
 
[[antikythera16|Sixteen note chromatic scale]]
 
=Glacial=
Subgroup: 2.9.5.11.13
 
Commas: 45/44, 65/64, 81/80
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 186.151
 
[[Gencom|Gencom]]: [2 9/8; 45/44 65/64 81/80]
 
Gencom map: [&lt;1 3/2 2 0 3 4|, &lt;0 1/2 2 0 3 -2|]
 
Map: [&lt;1 0 -4 -6 10|, &lt;0 1 2 3 -2|]
 
EDOs: 6, 13, 45be, 58bce, 71bce, 84bce
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.887 cents
 
[[glacial6|Six note haplotonic scale]]
 
[[glacial7|Seven note albitonic scale]]
 
[[glacial13|Thirteen note chromatic scale]]
 
=Leantone=
Subgroup: 2.9.5.7.11
 
Commas: 45/44, 56/55, 81/80
 
Related temperament: [[Meanenneadecal|meanenneadecal]]
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 192.500
 
[[Gencom|Gencom]]: [2 9/8; 45/44 56/55 81/80]
 
Gencom map: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]
 
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
 
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
 
[[Tp_tuning#T2 tuning|RMS error]]: 3.882 cents
 
[[File:leantone_81edo.png|alt=leantone_81edo.png|leantone_81edo.png]]
 
[[leantone6|Six note haplotonic scale]]
 
[[leantone7|Seven note albitonic scale]]
 
[[leantone13|Thirteen note chromatic scale]]      [[Category:listen]]
[[Category:overview]]
[[Category:rank_2]]
[[Category:scale]]
[[Category:subgroup]]
[[Category:theory]]

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

See also: Subgroup temperaments § Terrain
terrain_3558edo.png
Terrain in 3558edo

Scales:

Music

Petrtri

See also: Subgroup temperaments § Petrtri
petrtri_385edo.png
Petrtri in 385edo

Scales:

Barton

"Barton" redirects here. For Jacob Barton's scale, see Barton (scale).
See also: The Jacobins § Barton

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

See also: Subgroup temperaments § Tridec
tridec_235edo.png
Tridec in 235edo

Scales:

Nestoria

See also: Schismatic family § Nestoria (2.3.5.19)
nestoria_171edo.png
Nestoria in 171edo

Scales:

Orgone

Main article: Orgone
See also: Orgonia § Orgone
orgone_308edo.jpg
Orgone in 308edo

Scales:

Marveltwintri

See also: Subgroup temperaments § Marveltwintri
marveltwintri_321edo.png
Marveltwintri in 321edo

Scales:

Cata

Main article: Kleismic
See also: Kleismic family § 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

See also: Subgroup temperaments § Bridgetown
bridgetown_29edo.png
Bridgetown in 29edo

Scales:

Music

Haumea

See also: Subgroup temperaments § Haumea

Scales:

Neutral

See also: Rastmic clan § Neutral
neutral_380edo.png
Neutral in 380edo

Scales:

Music

Slendric

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

Scales:

Huntington

See also: No-threes subgroup temperaments § Huntington
huntington_400edo.jpg
Huntington in 400edo

Scales:

Tobago

See also: Subgroup temperaments § Tobago

Scales:

Pepperoni

See also: Parapyth
See also: Subgroup temperaments § Pepperoni
pepperoni_271edo.png
Pepperoni in 271edo

Scales:

Wizz

See also: No-threes subgroup temperaments § Wizz

Scales:

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

Bossier

See also: No-threes subgroup temperaments § Bossier
bossier_225edo.jpg
Bossier in 225edo

Scales:

Penta a.k.a. mechanism

See also: Subgroup temperaments § 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

See also: No-threes subgroup temperaments § Bluebirds

Scales:

Marveltri

See also: Subgroup temperaments § Marveltri

Scales:

Edson

See also: Subgroup temperaments § Edson

Scales:

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

Photia

See also: Schismatic family § Photia (2.3.5.17)
photia_65edo.png
Photia in 65edo

Scales:

Shoe a.k.a. llywelyn

See also: Llywelynsmic clan § Llywelyn a.k.a. shoe
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

See also: Hemimean clan § Roulette
roulette_37edo.jpg
Roulette in 37edo

Scales:

Silver

See also: No-threes subgroup temperaments § Silver
silver_487edo.jpg
Silver in 487edo

Scales:

Baldy

See also: Subgroup temperaments § Baldy
baldy_147edo.jpg
Baldy in 147edo

Scales

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


Guanyintet

See also: Subgroup temperaments § Guanyintet

Scales:

Radon

See also: Gamelismic clan § Radon
radon_128edo.jpg
Radon in 128edo
  • Radon5 – 5-tone haplotonic scale
  • Radon11 – 11-tone albitonic scale
  • Radon16 – 16-tone chromatic scale

Gariberttet

See also: Subgroup temperaments § Gariberttet

Scales:

Namo

See also: Rastmic clan § Namo

Scales:

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

Sentry

See also: Subgroup temperaments § Sentry

Scales:

Hemif

See also: No-fives subgroup temperaments § Hemif
hemif_58edo.jpg
Hemif in 58edo

Scales:

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

Garibaldi

Main article: Garibaldi temperament
See also: Schismatic family § Garibaldi
garibaldi_94edo.png
Garibaldi in 94edo

Scales:

Mabilic

See also: No-threes subgroup temperaments § Mabilic
mabila_66edo.jpg
Mabilic in 66edo

Scales:

Indium

See also: Subgroup temperaments § Indium
indium_253edo.png
Indium in 253edo

Scales:

Music

Starlingtet

See also: Subgroup temperaments § Starlingtet

Scales:

Lovecraft

See also: No-threes subgroup temperaments § Lovecraft
lovecraft_116edo.png
Lovecraft in 116edo

Scales:

Blackbirds

See also: No-threes subgroup temperaments § Blackbirds

Scales:

Laz

See also: Subgroup temperaments § Laz

Scales:

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

Myna

Main article: Myna
See also: Starling temperaments § Myna
myna_89edo.jpg
Myna in 89edo

Scales:

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

Greeley

See also: Subgroup temperaments § Greeley
greeley_100edo.png
Greeley in 100edo

Scales:

Music

Ammon

See also: Subgroup temperaments § Ammon
semidim_770edo.png
Ammon in 770edo

Scales:

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

Mothwelltri

See also: Subgroup temperaments § Mothwelltri

Scales:

Sulis

See also: Subgroup temperaments § Sulis

Scales:

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

Skwares

Main article: Squares
See also: No-fives subgroup temperaments § Skwares
skwares_206edo.png
Skwares in 206edo

Scales:

Orwell

Main article: Orwell
See also: Semicomma family § Orwell
orwell_84edo.png
Orwell in 84edo

Scales:

Magicaltet

See also: Subgroup temperaments § Magicaltet

Scales:

Magic

Main article: Magic
See also: Magic family § 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

See also: Subgroup temperaments § Kiribati

Scales:

Score

See also: No-threes subgroup temperaments § 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

Main article: Sensi
See also: Sensipent family § 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

Main article: Sensi
See also: Sensipent family § Sensi

Scales:

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

Meantone

Main article: Meantone
See also: Meantone family § Meantone
meantone_31edo.jpg
Meantone in 31edo

Scales:

Mohaha

See also: Rastmic clan § Mohaha
mohaha_131edo.png
Mohaha in 131edo

Scales:

Music:

Billy Stiltner

Mohoho

See also: Rastmic clan § Mohoho

Joan

See also: Subgroup temperaments § Joan

Scales:

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

Tutone

See also: Hemimean clan § Tutone
tutone_99edo.png
Tutone in 99edo

Scales:

Stacks

See also: Subgroup temperaments § Stacks (a.k.a. 2magic)

Scales:

Bleu

See also: No-fives subgroup temperaments § Bleu

Scales:

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

Sephiroth

See also: No-threes subgroup temperaments § Sephiroth

Scales:

Archy

Main article: Superpyth
See also: Archytas clan § Archy

Scales:

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

Supra

Main article: Superpyth
See also: Archytas clan § Supra
supra_56edo.png
Supra in 56edo

Scales:

Supraphon

Main article: Superpyth
See also: Archytas clan § Supraphon

Suhajira

See also: Archytas clan § Suhajira

Scales:

Machine

See also: Subgroup temperaments § Machine
machine_28edo.png
Machine in 28edo

Scales:

Deutone

See also: Hemimean clan § Deutone
deutone_44edo.png
Deutone in 44edo

Scales:

Negra

Main article: Negri
See also: Marvel temperaments § Negri

Porkypine

Main article: Porcupine
See also: Porcupine family § Porcupine

Scales:

Skateboard

See also: Subgroup temperaments § Skateboard

Scales:

Augment

See also: No-threes subgroup temperaments § Augment
augment_21edo.png
Augment in 21edo

Scales:

Semaphore

Main article: Semaphore and godzilla
See also: Semaphoresmic clan § Semaphore
semaphore_24edo.png
Semaphore in 24edo

Scales:

Kryptonite

See also: Subgroup temperaments § Kryptonite

Scales:

Oregon

See also: Orgonia § Oregon

Scales:

Antikythera

See also: Jubilismic clan § Antikythera
antikythera_28edo.png
Antikythera in 28edo

Scales:

Glacial

See also: Subgroup temperaments § Glacial

Scales:

Leantone

See also: Hemimean clan § Leantone
leantone_81edo.png
Leantone in 81edo

Scales:

Notes

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