Chromatic pairs: Difference between revisions

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.

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

== Terrain ==

{{See also| Subgroup temperaments #Terrain }}

[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]

* [[Terrain9]] – 9-tone albitonic scale

* [[Terrain15]] – 15-tone chromatic scale

; 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]

[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]

* [[Petrtri5]] – 5-tone haplotonic scale

* [[Petrtri8]] – 8-tone albitonic scale

* [[Petrtri13]] – 13-tone chromatic scale

{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}

{{See also| The Jacobins #Barton }}

* [[Barton5]] – 5-tone haplotonic scale

{{See also| Subgroup temperaments #Tridec }}

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

Scales:  

* [[Tridec8]] – 8-tone albitonic scale

* [[Tridec13]] – 13-tone chromatic scale

{{See also| Schismatic family #Nestoria (2.3.5.19)}}

[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]

{{Main| Orgone }}

[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]

Scales:  

* [[Orgone7]] – 7-tone albitonic scale

* [[Orgone11]] – 11-tone chromatic scale

* [[Orgone15]] – 15-tone mega-chromatic scale

{{See also| Subgroup temperaments #Marveltwintri }}

[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]

* [[Marveltwintri11]] – 11-tone chromatic scale

{{Main| Kleismic }}

{{See also| Kleismic family #Cata }}

[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]

* [[Cata15]] – 15-tone chromatic scale

* [[Cata19]] – 19-tone mega-chromatic scale

{{See also| Subgroup temperaments #Bridgetown }}

[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]

* [[Bridgetown9]] – 9-tone albitonic scale

* [[Bridgetown14]] – 14-tone chromatic scale

* [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]]

* ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon

* [[Haumea5]] – 5-tone haplotonic scale

* [[Haumea9]] – 9-tone albitonic scale

* [[Haumea14]] – 14-tone chromatic scale

* [[Haumea19]] – 19-tone mega-chromatic scale

== Neutral ==

{{See also| Rastmic clan #Neutral }}

[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]

* [[Neutral7]] – 7-tone albitonic scale

* [[Neutral10]] – 10-tone chromatic scale

* [[Neutral17]] – 17-tone mega-chromatic 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

:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''

[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]

* [[Slendric5]] – 5-tone haplotonic scale

{{See also| No-threes subgroup temperaments #Huntington }}

[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]

Scales:  

* [[Huntington7]] – 7-tone haplotonic scale

* [[Huntington10]] – 10-tone albitonic scale

* [[Huntington17]] – 17-tone chromatic scale

* [[Tobago6]] – 6-tone haplotonic scale

* [[Tobago10]] – 10-tone albitonic scale

* [[Tobago14]] – 14-tone chromatic scale

* [[Tobago24]] – 24-tone quatertone scale

== Pepperoni ==

{{See also| Subgroup temperaments #Pepperoni }}

[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]

* [[Pepperoni7]] – 7-tone albitonic scale

* [[Pepperoni12]] – 12-tone chromatic scale

{{See also| No-threes subgroup temperaments #Wizz }}

* [[Wizz6]] – 6-tone haplotonic scale

* [[Wizz10]] – 10-tone albitonic scale

* [[Wizz16]] – 16-tone chromatic scale

== Bossier ==

{{See also| No-threes subgroup temperaments #Bossier }}

[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]

* [[Bossier8]] – 8-tone albitonic scale

* [[Bossier11]] – 11-tone chromatic scale

* [[Bossier14]] – 14-tone mega-chromatic scale

{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}

* [[Penta11]] – 11-tone chromatic scale

* [[Penta19]] – 19-tone mega-chromatic scale

{{See also| No-threes subgroup temperaments #Bluebirds }}

* [[Bluebirds6]] – 6-tone haplotonic scale

* [[Bluebirds7]] – 7-tone albitonic scale

* [[Bluebirds13]] – 13-tone chromatic scale

== Marveltri ==

{{See also| Subgroup temperaments #Marveltri }}

* [[Marveltri7]] – 7-tone albitonic scale

{{See also| Subgroup temperaments #Edson }}

Scales:  

* [[Edson5]] – 5-tone haplotonic scale

* [[Edson7]] – 7-tone albitonic scale

* [[Edson17]] – 17-tone mega-chromatic scale

{{See also| Schismatic family #Photia (2.3.5.17) }}

[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]

* [[Photia7]] – 7-tone albitonic scale

* [[Photia12]] – 12-tone chromatic scale

== Shoe a.k.a. llywelyn ==

{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}

[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]

* [[Shoe5]] – 5-tone mini-haplotonic scale

* [[Shoe6]] – 6-tone haplotonic scale

* [[Shoe11]] – 11-tone albitonic scale

* [[Shoe16]] – 16-tone chromatic scale

{{See also | Hemimean clan #Roulette }}

[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]

Scales:  

* [[Roulette7]] – 7-tone albitonic scale

{{See also | No-threes subgroup temperaments #Silver }}

[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]

Scales:  

* [[Silver7]] – 7-tone haplotonic scale

* [[Silver17]] – 17-tone chromatic scale

[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]

* [[Baldy6]] – 6-tone haplotonic scale

* [[Baldy11]] – 11-tone albitonic scale

* [[Baldy17]] – 17-tone chromatic scale

{{See also | Subgroup temperaments #Guanyintet }}

* [[Guanyintet5]] – 5-tone haplotonic scale

* [[Guanyintet9]] – 9-tone albitonic scale

* [[Guanyintet13]] – 13-tone chromatic scale

== Radon ==

[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]

* [[Radon5]] – 5-tone haplotonic scale

* [[Radon11]] – 11-tone albitonic scale

* [[Radon16]] – 16-tone chromatic scale

{{See also | Subgroup temperaments #Gariberttet }}

* [[Gariberttet9]] – 9-tone albitonic scale

* [[Gariberttet13]] – 13-tone chromatic scale

{{See also| Rastmic clan #Namo }}

* [[Namo7]] – 7-tone haplotonic scale

* [[Namo17]] – 17-tone chromatic scale

{{See also | Subgroup temperaments #Sentry }}

* [[Sentry5]] – 5-tone haplotonic scale

* [[Sentry8]] – 8-tone albitonic scale

* [[Sentry11]] – 11-tone chromatic scale

{{See also| No-fives subgroup temperaments #Hemif }}

[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]

* [[Hemif7]] – 7-tone haplotonic scale

* [[Hemif10]] – 10-tone albitonic scale

* [[Hemif17]] – 17-tone chromatic scale

== Garibaldi ==

[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]

* [[Garibaldi12]] – 12-tone albitonic scale

* [[Garibaldi17]] – 17-tone chromatic scale

{{See also| No-threes subgroup temperaments #Mabilic }}

[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]

* [[Mabilic7]] – 7-tone haplotonic scale

{{See also | Subgroup temperaments #Indium }}

[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]

Scales:  

* [[Indium8]] – 8-tone albitonic scale

* [[Indium17]] – 17-tone chromatic 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]

== Starlingtet ==

{{See also | Subgroup temperaments #Starlingtet }}

* [[Starlingtet7]] – 7-tone albitonic scale

* [[Starlingtet11]] – 11-tone chromatic scale

{{See also | No-threes subgroup temperaments #Lovecraft }}

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

* [[Lovecraft9]] – 9-tone albitonic scale

* [[Lovecraft13]] – 13-tone chromatic scale

{{See also | No-threes subgroup temperaments #Blackbirds }}

* [[Blackbirds16]] – 16-tone mega-chromatic scale

{{See also | Subgroup temperaments #Laz }}

* [[Laz5]] – 5-tone haplotonic scale

* [[Laz9]] – 9-tone albitonic scale

* [[Laz13]] – 13-tone chromatic scale

{{Main| Myna }}

{{See also| Starling temperaments #Myna }}

[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]

* [[Myna7]] – 7-tone haplotonic scale

* [[Myna11]] – 11-tone albitonic scale

{{See also| Subgroup temperaments #Greeley }}

[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]

Scales:  

* [[Greeley8]] – 8-tone albitonic scale

* [[Greeley15]] – 15-tone chromatic scale

* ''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]

{{See also| Subgroup temperaments #Ammon }}

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

* [[Ammon13]] – 13-tone chromatic scale

{{See also| Subgroup temperaments #Mothwelltri }}

Scales:  

* [[Mothwelltri5]] – 5-tone haplotonic scale

* [[Mothwelltri9]] – 9-tone albitonic scale

* [[Mothwelltri13]] – 13-tone chromatic scale

{{See also| Subgroup temperaments #Sulis }}

* [[Sulis7]] – 7-tone haplotonic scale

* [[Sulis13]] – 13-tone chromatic scale

{{Main| Squares }}

[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]

Scales:  

* [[Skwares8]] – 8-tone albitonic scale

* [[Skwares11]] – 11-tone mega-albitonic scale

* [[Skwares14]] – 14-tone chromatic scale

[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]

* [[Orwell5]] – 5-tone haplotonic scale

* [[Orwell9]] – 9-tone albitonic scale

{{See also| Subgroup temperaments #Magicaltet }}

* [[Magicaltet7]] – 7-tone albitonic scale

* [[Magicaltet11]] – 11-tone chromatic scale

* [[Magicaltet15]] – 15-tone mega-chromatic scale

{{Main| Magic }}

{{See also| Magic family #Magic }}

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

* [[Magic7]] – 7-tone haplotonic scale

{{See also| Subgroup temperaments #Kiribati }}

* [[Kiribati13]] – 13-tone chromatic scale

* [[Kiribati14]] – 14-tone chromatic scale

{{See also|No-threes subgroup temperaments #Score }}

[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]

* [[Score5]] – 5-tone haplotonic scale

* [[Score7]] – 7-tone albitonic scale

* [[Score9]] – 9-tone mega-albitonic scale

* [[Score11]] – 11-tone chromatic scale

== Sensi ==

{{See also| Sensipent family #Sensi }}

[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]

* [[Sensi5]] – 5-tone haplotonic scale

* [[Sensi8]] – 8-tone albitonic scale

* [[Sensi11]] – 11-tone mega-albitonic scale

* [[Sensi19]] – 19-tone chromatic scale

{{Main| Sensi }}

{{See also| Sensipent family #Sensi }}

* [[Sensi11]] – 11-tone mega-albitonic scale

* [[Sensi19]] – 19-tone chromatic scale

{{Main| Meantone }}

{{See also| Meantone family #Meantone }}

[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]

* [[Meantone7]] – 7-tone albitonic scale

{{See also| Rastmic clan #Mohaha }}

[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]

* [[Mohaha10]] – 10-tone chromatic scale

; [[Billy Stiltner]]

* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}

=== Mohoho ===

{{See also| Rastmic clan #Mohoho }}

{{See also| Subgroup temperaments #Joan }}

* [[Joan5]] – 5-tone haplotonic scale

* [[Joan7]] – 7-tone albitonic scale

* [[Joan9]] – 9-tone mega-albitonic scale

* [[Joan11]] – 11-tone chromatic scale

{{See also| Hemimean clan #Tutone }}

[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]

* [[Tutone6]] – 6-tone haplotonic scale

* [[Tutone7]] – 7-tone albitonic scale

* [[Tutone13]] – 13-tone chromatic scale

== Stacks ==

{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}

* [[Stacks11]] – 11-tone chromatic scale

{{See also| No-fives subgroup temperaments #Bleu }}

Scales:  

* [[Bleu8]] – 8-tone haplotonic scale

* [[Bleu9]] – 9-tone albitonic scale

* [[Bleu17]] – 17-tone chromatic scale

* [[Sephiroth7]] – 7-tone haplotonic scale

* [[Sephiroth10]] – 10-tone albitonic scale

* [[Sephiroth13]] – 13-tone chromatic scale

* [[Sephiroth16]] – 16-tone mega-chromatic scale

== Archy ==

* [[Archy7]] – 7-tone albitonic scale

{{Main| Superpyth }}

{{See also| Archytas clan #Supra }}

[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]

* [[Supra12]] – 12-tone [[chromatic scale]]

{{Main| Superpyth }}

{{See also| Archytas clan #Supraphon }}

== Suhajira ==

{{See also| Archytas clan #Suhajira }}

* [[Suhajira7]] – 7-tone haplotonic scale

* [[Suhajira10]] – 10-tone albitonic scale

* [[Suhajira17]] – 17-tone chromatic scale

{{See also| Subgroup temperaments #Machine}}

[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]

* [[Machine5]] – 5-tone haplotonic scale

{{See also| Hemimean clan #Deutone }}

[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]

Scales:  

* [[Deutone6]] – 6-tone haplotonic scale

* [[Deutone13]] – 13-tone chromatic scale

{{Main| Negri }}

{{See also| Marvel temperaments #Negri }}

== Porkypine ==

{{See also| Porcupine family #Porcupine }}

* [[Porkypine8]] – 8-tone albitonic scale

{{See also| Subgroup temperaments #Skateboard }}

Scales:  

* [[Skateboard7]] – 7-tone haplotonic scale

* [[Skateboard11]] – 11-tone albitonic scale

* [[Skateboard15]] – 15-tone chromatic scale

{{See also| No-threes subgroup temperaments #Augment }}

[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]

* [[Augment9]] – 9-tone albitonic scale

* [[Augment12]] – 12-tone chromatic scale

{{Main| Semaphore and godzilla }}

{{See also| Semaphoresmic clan #Semaphore }}

[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]

* [[Semaphore9]] – 9-tone albitonic scale

* [[Semaphore14]] – 14-tone chromatic scale

{{See also| Subgroup temperaments #Kryptonite }}

* [[Kryptonite9]] – 9-tone albitonic scale

* [[Kryptonite10]] – 10-tone albitonic scale

* [[Kryptonite19]] – 19-tone mega-chromatic scale

== Oregon ==

{{See also| Orgonia #Oregon }}

* [[Oregon11]] – 11-tone albitonic scale

{{See also| Jubilismic clan #Antikythera }}

[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]

* [[Antikythera10]] – 10-tone albitonic scale

* [[Antikythera16]] – 16-tone chromatic scale

{{See also| Subgroup temperaments #Glacial }}

* [[Glacial7]] – 7-tone albitonic scale

{{See also| Hemimean clan #Leantone }}

[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]

Scales:  

* [[Leantone6]] – 6-tone haplotonic scale

* [[Leantone7]] – 7-tone albitonic scale

* [[Leantone13]] – 13-tone chromatic scale

[[Category:Lists of scales]]

[[Category:Tempered scales| ]]

[[Category:Listen]]

[[Category:Rank 2]]

{{todo|cleanup}}