Chromatic pairs: Difference between revisions

Latest revision as of 10:00, 13 April 2026

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

Scales:

Terrain9 – 9-tone albitonic scale
Terrain15 – 15-tone chromatic scale

Music

5 5 1 mode of 33 equal (2013) by Chris Vaisvil – blog | YouTube | play

Petrtri

See also: Subgroup temperaments § Petrtri

Scales:

Petrtri5 – 5-tone haplotonic scale
Petrtri8 – 8-tone albitonic scale
Petrtri13 – 13-tone chromatic scale

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

Scales:

Tridec8 – 8-tone albitonic scale
Tridec13 – 13-tone chromatic scale

Nestoria

See also: Schismatic family § Nestoria (2.3.5.19)

Scales:

Nestoria7 – 7-tone albitonic scale
Nestoria12 – 12-tone chromatic scale
Nestoria17 – 17-tone mega chromatic scale

Orgone

Main article: Orgone

See also: Orgonia § Orgone

Scales:

Orgone7 – 7-tone albitonic scale
Orgone11 – 11-tone chromatic scale
Orgone15 – 15-tone mega-chromatic scale

Marveltwintri

See also: Subgroup temperaments § Marveltwintri

Scales:

Marveltwintri7 – 7-tone albitonic scale
Marveltwintri11 – 11-tone chromatic scale
Marveltwintri15 – 15-tone mega-chromatic scale

Cata

Main article: Kleismic

See also: Kleismic family § Kleismic (2.3.5.13) a.k.a. cata

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

Scales:

Bridgetown9 – 9-tone albitonic scale
Bridgetown14 – 14-tone chromatic scale

Music

Paint in the Water 29 (archived 2020) by Igliashon Jones
Route 14 in Bridgetown (2011) by Chris Vaisvil – blog | play – in Bridgetown[14] for flute, bassoons, and contra-bassoon

Haumea

See also: Subgroup temperaments § Haumea

Scales:

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

Scales:

Neutral7 – 7-tone albitonic scale
Neutral10 – 10-tone chromatic scale
Neutral17 – 17-tone mega-chromatic scale

Music

Mo - Happy - Happy play by Jake Freivald in Neutral[7], 24edo tuning

Slendric

Main article: Slendric

See also: Gamelismic clan § Slendric

Scales:

Slendric5 – 5-tone haplotonic scale
Slendric6 – 6-tone haplotonic scale
Slendric11 – 11-tone albitonic scale
Slendric16 – 16-tone chromatic scale

Huntington

See also: No-threes subgroup temperaments § Huntington

Scales:

Huntington7 – 7-tone haplotonic scale
Huntington10 – 10-tone albitonic scale
Huntington17 – 17-tone chromatic scale

Tobago

See also: Subgroup temperaments § Tobago

Scales:

Tobago6 – 6-tone haplotonic scale
Tobago10 – 10-tone albitonic scale
Tobago14 – 14-tone chromatic scale
Tobago24 – 24-tone quatertone scale

Pepperoni

See also: Parapyth and Subgroup temperaments § Pepperoni

Scales:

Pepperoni7 – 7-tone albitonic scale
Pepperoni12 – 12-tone chromatic scale

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

Scales:

Bossier8 – 8-tone albitonic scale
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:

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:

Bluebirds6 – 6-tone haplotonic scale
Bluebirds7 – 7-tone albitonic scale
Bluebirds13 – 13-tone chromatic scale

Marveltri

See also: Subgroup temperaments § Marveltri

Scales:

Marveltri7 – 7-tone albitonic scale
Marveltri10 – 10-tone chromatic scale
Marveltri13 – 13-tone mega-chromatic scale

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)

Scales:

Photia7 – 7-tone albitonic scale
Photia12 – 12-tone chromatic scale

Shoe a.k.a. llywelyn

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

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

Scales:

Roulette6 – 6-tone haplotonic scale
Roulette7 – 7-tone albitonic scale
Roulette13 – 13-tone chromatic scale
Roulette19 – 19-tone mega-chromatic scale

Silver

See also: No-threes subgroup temperaments § Silver

Scales:

Silver7 – 7-tone haplotonic scale
Silver10 – 10-tone albitonic scale
Silver17 – 17-tone chromatic scale

Baldy

See also: Subgroup temperaments § Baldy

Scales

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

Guanyintet

See also: Subgroup temperaments § Guanyintet

Scales:

Guanyintet5 – 5-tone haplotonic scale
Guanyintet9 – 9-tone albitonic scale
Guanyintet13 – 13-tone chromatic scale

Radon

See also: Gamelismic clan § Radon

Radon5 – 5-tone haplotonic scale
Radon11 – 11-tone albitonic scale
Radon16 – 16-tone chromatic scale

Gariberttet

See also: Subgroup temperaments § Gariberttet

Scales:

Gariberttet5 – 5-tone haplotonic scale
Gariberttet9 – 9-tone albitonic scale
Gariberttet13 – 13-tone chromatic scale

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:

Sentry5 – 5-tone haplotonic scale
Sentry8 – 8-tone albitonic scale
Sentry11 – 11-tone chromatic scale

Hemif

See also: No-fives subgroup temperaments § Hemif

Scales:

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

Garibaldi

Main article: Garibaldi

See also: Schismatic family § Garibaldi

Scales:

Garibaldi12 – 12-tone albitonic scale
Garibaldi17 – 17-tone chromatic scale

Mabilic

See also: No-threes subgroup temperaments § Mabilic

Scales:

Mabilic7 – 7-tone haplotonic scale
Mabilic9 – 9-tone albitonic scale
Mabilic16 – 16-tone chromatic scale

Indium

See also: Subgroup temperaments § Indium

Scales:

Indium8 – 8-tone albitonic scale
Indium17 – 17-tone chromatic scale

Music

The Cry of Indium (2011) by Chris Vaisvil – blog | play – in Indium[17]

Starlingtet

See also: Subgroup temperaments § Starlingtet

Scales:

Starlingtet4 – 4-tone haplotonic scale
Starlingtet7 – 7-tone albitonic scale
Starlingtet11 – 11-tone chromatic scale

Lovecraft

See also: No-threes subgroup temperaments § Lovecraft

Scales:

Lovecraft5 – 5-tone haplotonic scale
Lovecraft9 – 9-tone albitonic scale
Lovecraft13 – 13-tone chromatic scale

Blackbirds

See also: No-threes subgroup temperaments § Blackbirds

Scales:

Blackbirds8 – 8-tone albitonic scale
Blackbirds12 – 12-tone chromatic scale
Blackbirds16 – 16-tone mega-chromatic scale

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

Scales:

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

Greeley

See also: Subgroup temperaments § Greeley

Scales:

Greeley8 – 8-tone albitonic scale
Greeley15 – 15-tone chromatic scale

Music

A Greeley Steals Halloween by Chris Vaisvil (2011) – blog | play – in Greeley[15]

Ammon

See also: Subgroup temperaments § Ammon

Scales:

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

Mothwelltri

See also: Subgroup temperaments § Mothwelltri

Scales:

Mothwelltri5 – 5-tone haplotonic scale
Mothwelltri9 – 9-tone albitonic scale
Mothwelltri13 – 13-tone chromatic scale

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

Scales:

Skwares8 – 8-tone albitonic scale
Skwares11 – 11-tone mega-albitonic scale
Skwares14 – 14-tone chromatic scale

Orwell

Main article: Orwell

See also: Semicomma family § Orwell

Scales:

Orwell5 – 5-tone haplotonic scale
Orwell9 – 9-tone albitonic scale
Orwell13 – 13-tone chromatic scale

Magicaltet

See also: Subgroup temperaments § Magicaltet

Scales:

Magicaltet7 – 7-tone albitonic scale
Magicaltet11 – 11-tone chromatic scale
Magicaltet15 – 15-tone mega-chromatic scale

Magic

Main article: Magic

See also: Magic family § Magic

Scales:

Magic7 – 7-tone haplotonic scale
Magic10 – 10-tone albitonic scale
Magic13 – 13-tone chromatic scale
Magic16 – 16-tone mega-chromatic scale
Magic19 – 19-tone mega-chromatic scale

Kiribati

See also: Subgroup temperaments § Kiribati

Scales:

Kiribati13 – 13-tone chromatic scale
Kiribati14 – 14-tone chromatic scale

Score

See also: No-threes subgroup temperaments § Score

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

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

Scales:

Meantone5 – 5-tone haplotonic scale
Meantone7 – 7-tone albitonic scale
Meantone12 – 12-tone chromatic scale

Mohaha

See also: Rastmic clan § Mohaha

Scales:

Mohaha7 – 7-tone albitonic scale
Mohaha10 – 10-tone chromatic scale

Music:

Billy Stiltner

Mohaha10ping2^{[dead link]}

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

Scales:

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)

Scales:

Stacks5 – 5-tone haplotonic scale
Stacks8 – 8-tone albitonic scale
Stacks11 – 11-tone chromatic scale
Stacks19 – 19-tone mega-chromatic scale

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:

Sephiroth7 – 7-tone haplotonic scale
Sephiroth10 – 10-tone albitonic scale
Sephiroth13 – 13-tone chromatic scale
Sephiroth16 – 16-tone mega-chromatic scale

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: Quasisuper

See also: Archytas clan § Supra

Scales:

Supra7 – 7-tone albitonic scale
Supra12 – 12-tone chromatic scale

Supraphon

Main article: Quasisuper

See also: Archytas clan § Supraphon

Suhajira

See also: Archytas clan § Suhajira

Scales:

Suhajira7 – 7-tone haplotonic scale
Suhajira10 – 10-tone albitonic scale
Suhajira17 – 17-tone chromatic scale

Machine

See also: Subgroup temperaments § Machine

Scales:

Machine5 – 5-tone haplotonic scale
Machine6 – 6-tone albitonic scale
Machine11 – 11-tone chromatic scale

Deutone

See also: Hemimean clan § Deutone

Scales:

Deutone6 – 6-tone haplotonic scale
Deutone7 – 7-tone albitonic scale
Deutone13 – 13-tone chromatic scale

Negra

Main article: Negri

See also: Semaphoresmic clan § Negri

Porkypine

Main article: Porcupine

See also: Porcupine family § Porcupine

Scales:

Porkypine7 – 7-tone haplotonic scale
Porkypine8 – 8-tone albitonic scale
Porkypine15 – 15-tone chromatic scale

Skateboard

See also: Subgroup temperaments § Skateboard

Scales:

Skateboard7 – 7-tone haplotonic scale
Skateboard11 – 11-tone albitonic scale
Skateboard15 – 15-tone chromatic scale

Augment

See also: No-threes subgroup temperaments § Augment

Scales:

Augment6 – 6-tone haplotonic scale
Augment9 – 9-tone albitonic scale
Augment12 – 12-tone chromatic scale

Semaphore

Main article: Semaphore and godzilla

See also: Semaphoresmic clan § Semaphore

Scales:

Semaphore5 – 5-tone haplotonic scale
Semaphore9 – 9-tone albitonic scale
Semaphore14 – 14-tone chromatic scale

Kryptonite

See also: Subgroup temperaments § Kryptonite

Scales:

Kryptonite9 – 9-tone albitonic scale
Kryptonite10 – 10-tone albitonic scale
Kryptonite19 – 19-tone mega-chromatic scale

Oregon

See also: Orgonia § Oregon

Scales:

Oregon7 – 7-tone haplotonic scale
Oregon11 – 11-tone albitonic scale
Oregon15 – 15-tone chromatic scale

Antikythera

See also: Jubilismic clan § Antikythera

Scales:

Antikythera6 – 6-tone haplotonic scale
Antikythera10 – 10-tone albitonic scale
Antikythera16 – 16-tone chromatic scale

Glacial

See also: Subgroup temperaments § Glacial

Scales:

Glacial6 – 6-tone haplotonic scale
Glacial7 – 7-tone albitonic scale
Glacial13 – 13-tone chromatic scale

Leantone

See also: Hemimean clan § Leantone

Scales:

Leantone6 – 6-tone haplotonic scale
Leantone7 – 7-tone albitonic scale
Leantone13 – 13-tone chromatic scale

View • Talk • EditScale galleries
JI scales	12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI Full list: Category:Just intonation scales
Tempered scales	11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered Full list: Category:Tempered scales
Scales in EDOs	in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80
All other scale gallery pages are included in Category:Lists of scales

@@ Line 78: / Line 78: @@
 == Cata ==
 {{Main| Kleismic }}
-{{See also| Kleismic family #Cata }}
+{{See also| Kleismic family #Kleismic (2.3.5.13) a.k.a. cata }}
 [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
@@ Line 125: / Line 125: @@
 == Slendric ==
 {{Main| Slendric }}
-:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''
+{{See also| Gamelismic clan #Slendric }}
 [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
@@ Line 155: / Line 155: @@
 == Pepperoni ==
-{{See also| Parapyth }}
+{{See also| Parapyth | Subgroup temperaments #Pepperoni }}
-{{See also| Subgroup temperaments #Pepperoni }}
 [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
@@ Line 320: / Line 319: @@
 == Garibaldi ==
-{{Main| Garibaldi temperament }}
+{{Main| Garibaldi }}
 {{See also| Schismatic family #Garibaldi }}
@@ Line 484: / Line 483: @@
 == Score ==
-{{See also|No-threes subgroup temperaments #Score }}
+{{See also| No-threes subgroup temperaments #Score }}
 [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
@@ Line 563: / Line 562: @@
 == Stacks ==
-{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
+{{See also| Subgroup temperaments #Stacks (a.k.a. 2magic) }}
 Scales:
@@ Line 598: / Line 597: @@
 === Supra ===
-{{Main| Superpyth }}
+{{Main| Quasisuper }}
 {{See also| Archytas clan #Supra }}
@@ Line 608: / Line 607: @@
 === Supraphon ===
-{{Main| Superpyth }}
+{{Main| Quasisuper }}
 {{See also| Archytas clan #Supraphon }}
@@ Line 620: / Line 619: @@
 == Machine ==
-{{See also| Subgroup temperaments #Machine}}
+{{See also| Subgroup temperaments #Machine }}
 [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
@@ Line 641: / Line 640: @@
 == Negra ==
 {{Main| Negri }}
-{{See also| Marvel temperaments #Negri }}
+{{See also| Semaphoresmic clan #Negri }}
 == Porkypine ==
@@ Line 724: / Line 723: @@
 * [[Leantone7]] – 7-tone albitonic scale
 * [[Leantone13]] – 13-tone chromatic scale
 {{Navbox scale gallery}}
-[[Category:Tempered scales| ]]
+[[Category:Tempered scales|*]]
 [[Category:Listen]]
 [[Category:Rank 2]]
+{{Todo| cleanup }}
-{{todo|cleanup}}

Chromatic pairs: Difference between revisions

Latest revision as of 10:00, 13 April 2026

Terrain

Petrtri

Barton

Tridec

Nestoria

Orgone

Marveltwintri

Cata

Bridgetown

Haumea

Neutral

Slendric

Huntington

Tobago

Pepperoni

Wizz

Bossier

Penta a.k.a. mechanism

Bluebirds

Marveltri

Edson

Photia

Shoe a.k.a. llywelyn

Roulette

Silver

Baldy

Guanyintet

Radon

Gariberttet

Namo

Sentry

Hemif

Garibaldi

Mabilic

Indium

Starlingtet

Lovecraft

Blackbirds

Laz

Myna

Greeley

Ammon

Mothwelltri

Sulis

Skwares

Orwell

Magicaltet

Magic

Kiribati

Score

Sensi

Sensation

Meantone

Mohaha

Mohoho

Joan

Tutone

Stacks

Bleu

Sephiroth

Archy

Supra

Supraphon

Suhajira

Machine

Deutone

Negra

Porkypine

Skateboard

Augment

Semaphore

Kryptonite

Oregon

Antikythera

Glacial

Leantone

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