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 ==

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

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

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

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

== Petrtri ==

[[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

== Barton ==

Scales:  

* [[Barton13]] – 13-tone mega-chromatic scale

{{See also| Subgroup temperaments #Tridec }}

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

== Nestoria ==

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

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

Scales:  

* [[Nestoria7]] – 7-tone albitonic scale

{{Main| Orgone }}

{{See also| Orgonia #Orgone }}

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

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

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

== Marveltwintri ==

 

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

 

 

 

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

 

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

 

{{See also| Subgroup temperaments #Bridgetown }}

 

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

 

Scales:  

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

* [[Bridgetown14]] – 14-tone 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

 

{{See also| Subgroup temperaments #Haumea }}

 

Scales:  

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

 

== Neutral ==

 

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

 

Scales:  

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

 

; 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

 

== Slendric ==

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

 

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

 

Scales:  

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

* [[Slendric6]] – 6-tone haplotonic scale

* [[Slendric11]] – 11-tone albitonic scale

 

== Huntington ==

 

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

 

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

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

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

 

== Tobago ==

 

Scales:  

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

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

 

== Pepperoni ==

 

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

 

Scales:  

 

== Wizz ==

 

Scales:  

* [[Wizz6]] – 6-tone haplotonic scale

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

 

== Bossier ==

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

 

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

 

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

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

 

== Penta a.k.a. mechanism ==

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

 

 

 

Scales:  

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

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

 

== Marveltri ==

 

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

* [[Marveltri10]] – 10-tone chromatic scale

* [[Marveltri13]] – 13-tone mega-chromatic scale

 

 

Scales:  

* [[Edson7]] – 7-tone albitonic scale

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

 

 

[[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]]

 

 

 

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

 

Scales:  

* [[Roulette6]] – 6-tone haplotonic scale

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

* [[Roulette13]] – 13-tone chromatic scale

* [[Roulette19]] – 19-tone mega-chromatic scale

 

 

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

 

 

 

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

 

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

 

 

== Guanyintet ==

 

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

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

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

 

 

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

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

* ''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]