Gallery of combination product sets

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This is a gallery of combination product set (CPS) scales.

There are infinite possible CPS scales, so this list can never be complete.

If you find a CPS scale that you like, please document it here so that people can make music with it.

See also Category:Combination product sets, which may include scales that have yet to be added to this list.

Pentanies (5-tone)

Main page: Hexany, see also: Ifdo


CPS (4 of 1 3 5 7 11)

  • Intervals: 11/10, 11/8, 11/7, 11/6, 2/1
  • Description: sturdy, grounded
  • Subset of: 11-limit JI, 11ifdo


CPS (4 of 5 17 23 29 37)

  • Intervals: 37/34, 37/29, 37/23, 37/20, 2/1
  • Description: like anticipation, sunrise
  • Subset of: 37-limit JI, 37ifdo


CPS (4 of 5 17 23 29 41)

  • Intervals: 41/40, 41/34, 41/29, 41/23, 2/1
  • Description: enchanting, ethereal
  • Subset of: 41-limit JI, 41ifdo


CPS (4 of 5 17 23 31 41)

  • Intervals: 41/40, 41/34, 41/31, 41/23, 2/1
  • Description: sorrowful, warm
  • Subset of: 41-limit JI, 41ifdo


CPS (4 of 5 17 23 31 43)

  • Intervals: 43/40, 43/34, 43/31, 43/23, 2/1
  • Description: tense, alert
  • Subset of: 43-limit JI, 43ifdo

Hexanies (6-tone)

Main page: Hexany



CPS (2 of 1 3 5 7)

Main page: 1-3-5-7 hexany.

  • Intervals: 7/6, 5/4, 35/24, 5/3, 7/4, 2/1
  • Description: hazy, cold
  • Subset of: 7-limit JI


CPS (2 of 1 17 27 49)

  • Intervals: 1323/1088, 49/34, 49/32, 27/17, 27/16, 2/1
  • Description: clumsy, mischievous
  • Subset of: 17-limit JI, 2.3.7.17 subgroup JI


CPS (2 of 1 19 25 55)

  • Intervals: 64/55, 25/19, 320/209, 32/19, 20/11, 2/1
  • Description: vast, stern, robotic
  • Subset of: 19-limit JI, 2.5.11.19 subgroup JI


CPS (2 of 5 17 23 29)


CPS (2 of 5 17 23 31)


CPS (2 of 8 21 29 48)


CPS (2 of 19 31 36 48)


CPS (2 of 21 32 38 45)

Bihexanies/Duohexanies (12-tone)

Main page: Duohexany


Stellated hexanies (14-tone)

Main page: Stellated hexany


Dekanies (10-tone)

Main page: Dekany


Pentadekanies (15-tone)

Main page: Pentadekany

Eikosanies (20-tone)

Main page: Eikosany


ViewTalkEditScale galleries
JI scales 12-tone JICombination product setConstant structureHarry Partch-relatedMaximal harmony epimorphicMOS transversalNon-octave JIWakalixZ-polygon transversalOther JI
Full list: Category:Just intonation scales
Tempered scales 11-tone MOS12-tone temperedChromatic pairClipperDouble modeEssentially temperedFantasy detemperMarvel wooMeantoneMin ambiguityMOS cradleNegri-9Neutral thirdNon-octave temperedScalesmith systematicTernaryOther tempered
Full list: Category:Tempered scales
Scales in EDOs in 10edo1113141516171819202122232425262728293031333435363738404142434649537280
All other scale gallery pages are included in Category:Lists of scales