Chromatic pairs

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

"Terrain" redirects here. For the scale, see Terrain (scale).

See also: Subgroup temperaments § Terrain

Terrain in 3558edo

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

Petrtri in 385edo

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).

Barton may be described as the 11 & 13 temperament in the 2.5.11.13 subgroup. It was named after Jacob Barton by Gene Ward Smith and Carl Lumma in 2006.

Subgroup: 2.5.11.13

Comma list: 2200/2197, 6656/6655

Sval mapping: [⟨1 6 3 6], ⟨0 -8 1 -5]]

Gencom mapping: [⟨1 0 6 0 3 6], ⟨0 0 -8 0 1 -5]]

gencom: [2 11/8; 2200/2197 6656/6655]

Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 551.699

Optimal ET sequence: 11, 13, 24, 37, 50, 87, 298, 385, 472, 559, 1590cd

RMS error: 0.0822 cents

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

Voltage

Voltage is the 3 & 7 temperament in the 2.7.13 subgroup.

Subgroup: 2.7.13

Comma list: 28672/28561

Sval mapping: [⟨1 4 4], ⟨0 -4 -1]]

Gencom mapping: [⟨1 0 0 4 0 4], ⟨0 0 0 -4 0 -1]]

gencom: [2, 16/13; 28672/28561]

Optimal tuning:

• POTE: ~2 = 1\1, ~16/13 = 357.677
• POTT: ~2 = 1\1, ~16/13 = 357.794 (1200 - 300 log₂(7))

Optimal ET sequence: 3, 7, 10, 27, 37, 47, 57, 104

RMS error: 0.1423

Tridec

See also: Subgroup temperaments § Tridec

Tridec in 235edo

Scales:

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

Nestoria

See also: Schismatic family § Nestoria (2.3.5.19)

Nestoria in 171edo

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, the 4 & 7 temperament in the 2.7.11 subgroup, is related to superkleismic.

Subgroup: 2.7.11

Comma list: 65536/65219

Sval mapping: [⟨1 2 4], ⟨0 3 -2]]

Gencom mapping: [⟨1 0 0 2 4], ⟨0 0 0 3 -2]]

gencom: [2 77/64; 65536/65219]

Optimal tuning (POTE): ~2 = 1\1, ~77/64 = 323.372

Optimal ET sequence: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc

RMS error: 0.1888 cents

Orgone in 308edo

Scales:

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

Marveltwintri

See also: Subgroup temperaments § Marveltwintri

Marveltwintri in 321edo

Scales:

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

Cata

Main article: Hanson and cata

See also: Kleismic family § Cata

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 in 29edo

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

Neutral in 380edo

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 and No-fives subgroup temperaments #Slendric

Slendric in 190edo

Scales:

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

Huntington

Huntington may be described as the 10 & 27 temperament in the 2.5.7.13 subgroup.

Subgroup: 2.5.7.13

Comma list: 640/637, 10985/10976

Sval mapping: [⟨1 5 4 4], ⟨0 -9 -4 -1]]

Gencom mapping: [⟨1 0 5 4 0 4], ⟨0 0 -9 -4 0 -1]]

gencom: [2 16/13; 640/637 10985/10976]

Optimal tuning (POTE): ~2 = 1\1, ~16/13 = 357.002

Optimal ET sequence: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd

RMS error: 0.3452 cents

Huntington in 400edo

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

See also: Subgroup temperaments § Pepperoni

Pepperoni in 271edo

Scales:

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

Wizz

Wizz, the 6 & 16 temperament in the 2.5.11 subgroup, is related to wizard.

Subgroup: 2.5.11

Comma list: 15625/15488

Sval mapping: [⟨2 0 -7], ⟨0 1 3]]

Gencom mapping: [⟨2 0 4 0 5], ⟨0 0 1 0 3]]

gencom: [125/88 5/4; 15625/15488]

Optimal tuning (POTE): ~125/88 = 1\2, ~5/4 = 383.768

Optimal ET sequence: 6, 16, 22, 28, 50, 122, 172, 222

RMS error: 0.3997

Scales:

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

Bossier

Bossier can be described as the 3 & 17 in the 2.7.11.13 subgroup.

Subgroup: 2.7.11.13

Comma list: 1573/1568, 15488/15379

Sval mapping: [⟨1 0 1 3], ⟨0 8 7 2]]

Gencom mapping: [⟨1 0 0 0 1 3], ⟨0 0 0 8 7 2]]

gencom: [2 14/11; 1573/1568 15488/15379]

Optimal tuning (POTE): ~2 = 1\1, ~14/11 = 421.309

Optimal ET sequence: 17, 20, 37, 57, 94, 225, 319cd, 413bcd

RMS error: 0.4043 cents

Bossier in 225edo

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

Subgroup: 2.11.13

Comma list: 265837/262144

Sval mapping: [⟨1 0 6], ⟨0 3 -2]]

Gencom mapping: [⟨1 0 0 0 3 4], ⟨0 0 0 0 3 -2]]

gencom: [2 143/128; 265837/262144]

Optimal tuning (POTE): ~2 = 1\1, ~143/128 = 182.368

Optimal ET sequence: 6, 7, 13, 33, 46, 79, 125c, 204bc, 329bc

RMS error: 0.4444 cents

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)

Photia in 65edo

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

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 in 37edo

Scales:

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

Silver

Silver can be described as the 10 & 27 temperament in the 2.5.7.13.17 subgroup.

Subgroup: 2.5.7.13.17

Comma list: 170/169, 640/637, 5525/5488

Sval mapping: [⟨1 5 4 4 2], ⟨0 -9 -4 -1 7]]

Gencom mapping: [⟨1 0 -4 0 0 3 9], ⟨0 0 9 4 0 1 -7]]

gencom: [2 13/8; 170/169 640/637 5525/5488]

Optimal tuning (POTE): ~2 = 1\1, ~13/8 = 842.711

Optimal ET sequence: 7, 10, 17, 27, 37, 47, 84, 131, 178e, 309cde, 487bcdee

RMS error: 0.5886 cents

Silver in 487edo

Scales:

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

Baldy

See also: Subgroup temperaments § Baldy

Baldy is every other step of garibaldi, without the mapping of prime 11. It can be described as the 6 & 35 temperament.

Subgroup: 2.9.5.7.13

Comma list: 225/224, 325/324, 640/637

Sval mapping: [⟨1 0 15 25 -28], ⟨0 1 -4 -7 10]]

Gencom mapping: [⟨1 3/2 3 4 0 2], ⟨0 1/2 -4 -7 0 10]]

gencom: [2 9/8; 225/224 325/324 640/637]

Optimal tuning (POTE): ~2 = 1\1, ~9/8 = 204.090

Optimal ET sequence: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147, 488cd, 635cd

RMS error: 0.5999 cents

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:

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

Radon

See also: Gamelismic clan § Radon

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:

• 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

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 in 94edo

Scales:

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

Mabilic

Given below is the no-three version of semabila, or equivalently the no-threes version of trismegistus. It is the 7 & 9 temperament in the 2.5.7 subgroup, and tempers out 1071875/1048576, the mabilisma.

Subgroup: 2.5.7

Comma list: 1071875/1048576

Sval mapping: [⟨1 1 5], ⟨0 3 -5]]

Gencom mapping: [⟨1 0 1 5], ⟨0 0 3 -5]]

gencom: [2 175/128; 1071875/1048576]

Optimal tuning (POTE): ~2 = 1\1, ~175/128 = 527.236

Optimal ET sequence: 7, 9, 16, 25, 41, 66, 305bc

RMS error: 0.7729 cents

Mabila in 66edo

Scales:

• Mabila7 – 7-tone haplotonic scale
• Mabila9 – 9-tone albitonic scale
• Mabila16 – 16-tone chromatic scale

Indium

See also: Subgroup temperaments § Indium

Indium in 253edo

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

Lovecraft, the 4 & 13 temperament in the 2.11.13 subgroup, is generated by ~13/11. Two generator steps give ~11/8 and three generator steps give ~13/8.

Subgroup: 2.11.13

Comma list: 1352/1331

Sval mapping: [⟨1 3 3], ⟨0 2 3]]

Gencom mapping: [⟨1 0 0 0 3 3], ⟨0 0 0 0 2 3]]

gencom: [2 13/11; 1352/1331]

Optimal tuning (POTE): ~2 = 1\1, ~13/11 = 279.318

Optimal ET sequence: 13, 30, 43, 73, 116b

RMS error: 0.8449 cents

Lovecraft in 116edo

Scales:

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

Blackbirds

Blackbirds is a fairly straightforward temperament. It simply equates ~13/11 to 1/4 of the octave with a generator for prime 11 or 13.

Subgroup: 2.11.13

Comma list: 29282/28561

Sval mapping: [⟨4 0 1], ⟨0 1 1]]

Gencom mapping: [⟨4 0 0 0 12 13], ⟨0 0 0 0 1 1]]

gencom: [13/11 11/8; 29282/28561]

Optimal tuning (POTE): ~13/11 = 1\4, ~11/8 = 546.660

Optimal ET sequence: 4, 16, 20, 24, 44, 68, 112c, 180bc

RMS error: 0.8685 cents

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

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 in 100edo

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]

Semidim

See also: Subgroup temperaments § Semidim

Semidim in 770edo

Scales:

• Semidim8 – 8-tone albitonic scale
• Semidim13 – 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

Skwares in 206edo

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

Orwell in 84edo

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

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:

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

Score

Subgroup: 2.7.11.13

Comma list: 343/338, 847/832

Sval mapping: [⟨1 1 3 1], ⟨0 4 1 6]]

Gencom mapping: [⟨1 0 0 1 3 1], ⟨0 0 0 4 1 6]]

gencom: [2 11/8; 343/338 847/832]

Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 540.099

Optimal ET sequence: 5, 7, 9, 11, 20

RMS error: 1.282 cents

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 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 in 31edo

Scales:

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

Mohaha

See also: Rastmic clan § Mohaha

Mohaha in 131edo

Scales:

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

Music:

Billy Stiltner

• Mohaha10ping2^{[dead link]}

Mohoho

See also: Rastmic clan § Mohoho

Joan

Joan is related to casablanca as well as to orwell.

Subgroup: 2.9.7.11

Comma list: 99/98, 9317/9216

Sval mapping: [⟨1 0 1 3], ⟨0 7 4 1]]

Gencom mapping: [⟨1 0 0 1 3], ⟨0 7/2 0 4 1]]

gencom: [2 11/8; 99/98 9317/9216]

Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 542.672 cents

Optimal ET sequence: 11, 20, 31, 42, 115bd, 157bd

RMS error: 1.424 cents

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 in 99edo

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

Sephiroth is the no-7 restriction of muggles.

Subgroup: 2.5.11.13.17

Comma list: 65/64, 170/169, 221/220

Sval mapping: [⟨1 0 15 6 11], ⟨0 1 -5 -1 -3]]

Gencom mapping: [⟨1 0 2 0 5 4 5], ⟨0 0 1 0 -5 -1 -3]]

gencom: [2 5/4; 65/64 170/169 221/220]

Optimal tuning (POTE): ~2 = 1\1, ~5/4 = 372.236

Optimal ET sequence: 10, 13, 16, 29

RMS error: 1.774 cents

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: Superpyth

See also: Archytas clan § Supra

Supra in 56edo

Scales:

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

Supraphon

Main article: Superpyth

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

Machine in 28edo

Scales:

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

Deutone

See also: Hemimean clan § Deutone

Deutone in 44edo

Scales:

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

Negra

Main article: Negri

See also: Marvel temperaments § 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

Augment is related to augmented.

Subgroup: 2.5.7.11

Comma list: 56/55, 128/125

Sval mapping: [⟨3 7 0 2], ⟨0 0 1 1]]

Gencom mapping: [⟨3 0 7 9 11], ⟨0 0 0 -1 -1]]

gencom: [5/4 8/7; 56/55 128/125]

Optimal tuning (POTE): ~5/4 = 1\3, ~8/7 = 228.275

Optimal ET sequence: 3, 6, 9, 15, 21

RMS error: 2.422 cents

Augment in 21edo

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

Semaphore in 24edo

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

Subgroup: 2.9.15.7.11

Comma list: 55/54, 64/63, 100/99

Sval mapping: [⟨1 1 1 5 2], ⟨0 3 4 -3 2]]

Gencom mapping: [⟨1 2 3 2 4], ⟨0 -3/2 -5/2 3 -2]]

gencom: [2 6/5; 55/54 64/63 100/99]

Optimal tuning (subgroup POTE): ~2 = 1\1, ~6/5 = 325.495

Optimal ET sequence: 7, 11, 37b, 48b, 59b

RMS error: 2.550 cents

Scales:

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

Antikythera

See also: Jubilismic clan § Antikythera

Antikythera in 28edo

Scales:

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

Glacial

Subgroup: 2.9.5.11.13

Comma list: 45/44, 65/64, 81/80

Sval mapping: [⟨1 0 -4 -6 10], ⟨0 1 2 3 -2]]

Gencom mapping: [⟨1 3/2 2 0 3 4], ⟨0 1/2 2 0 3 -2]]

gencom: [2 9/8; 45/44 65/64 81/80]

Optimal tuning (POTE): ~2 = 1\1, ~9/8 = 186.151

Optimal ET sequence: 6, 13, 45be, 58bce, 71bce, 84bce

RMS error: 2.887 cents

Scales:

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

Leantone

See also: Hemimean clan § Leantone

Leantone in 81edo

Scales:

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