Gallery of combination product sets

This is a gallery of combination product set (CPS) scales, as well as subsets of, mergers of, or modifications of such 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.

(In brackets beside listed scales are descriptions by wiki contributors of the subjective mood they personally feel when listening to the scale.)

Pentanies (5-tone)

Main page: Pentany

• 4 from 1-3-5-7-11 pentany (sturdy, earthy)
• 4 from 5-17-23-29-37 pentany (like anticipating the sunrise)
• 4 from 5-17-23-29-41 pentany (ethereal, enchanting)
• 4 from 5-17-23-31-41 pentany (sorrowful, warm)
• 4 from 5-17-23-31-43 pentany (alert, tense)

Hexanies (6-tone)

Main page: Hexany

In no-3s subgroups

1.n

• 1-5-7-11 hexany
• 1-5-7-13 hexany
• 1-7-11-13 hexany

5.n

• 5-7-11-13 hexany

In no-5s subgroups

1.n

• 1-3-7-9 hexany
• 1-3-7-11 hexany
• 1-3-7-13 hexany
• 1-3-7-21 hexany
• 1-3-9-11 hexany
• 1-3-9-13 hexany
• 1-3-9-17 hexany
• 1-3-11-13 hexany
• 1-3-21-29 hexany (fierce, groovy, dark)
• 1-3-21-49 hexany
• 1-7-9-11 hexany
• 1-7-9-13 hexany

3.n

• 3-7-9-11 hexany
• 3-7-9-13 hexany
• 3-7-11-13 hexany
• 3-9-11-13 hexany
• 3-9-19-31 hexany (sparkly, pretty)

7.n

• 7-9-11-13 hexany

In no-7s subgroups

1.n

• 1-3-5-9 hexany
• 1-3-5-11 hexany
• 1-3-5-13 hexany
• 1-3-5-15 hexany
• 1-3-5-45 hexany
• 1-3-5-81 hexany
• 1-3-5-121 hexany
• 1-3-11-15 hexany
• 1-3-13-15 hexany
• 1-5-9-11 hexany
• 1-5-9-13 hexany
• 1-5-9-15 hexany
• 1-5-11-13 hexany
• 1-5-11-15 hexany
• 1-5-13-15 hexany
• 1-9-11-15 hexany
• 1-9-11-13 hexany
• 1-9-13-15 hexany
• 1-11-13-15 hexany
• 1-15-45-75 hexany

3.n

• 3-5-9-11 hexany
• 3-5-9-13 hexany
• 3-5-9-15 hexany
• 3-5-11-13 hexany
• 3-5-11-15 hexany
• 3-5-13-15 hexany
• 3-5-15-19 hexany
• 3-5-15-27 hexany
• 3-9-11-15 hexany
• 3-9-13-15 hexany
• 3-11-13-15 hexany

5.n

• 5-9-11-13 hexany
• 5-9-11-15 hexany
• 5-9-13-15 hexany
• 5-11-13-15 hexany

9.n

• 9-11-13-15 hexany

In no-11s subgroups

1.n

• 1-3-5-7 hexany (cold, hazy)
• 1-3-7-15 hexany
• 1-5-7-9 hexany
• 1-7-9-15 hexany
• 1-7-13-15 hexany

3.n

• 3-5-7-9 hexany
• 3-5-7-13 hexany
• 3-5-7-15 hexany
• 3-5-15-21 hexany
• 3-7-9-15 hexany
• 3-7-13-15 hexany

5.n

• 5-7-9-13 hexany
• 5-7-9-15 hexany
• 5-7-13-15 hexany

7.n

• 7-9-13-15 hexany

9.n

• 9-25-49-81 hexany

In no-13s subgroups

1.n

• 1-7-11-15 hexany

3.n

• 3-5-7-11 hexany
• 3-7-9-55 hexany
• 3-7-11-15 hexany

5.n

• 5-7-9-11 hexany
• 5-7-9-33 hexany
• 5-7-11-15 hexany

7.n

• 7-9-11-15 hexany
• 7-11-17-45 hexany (dark, supernatural, metallic)

27.n

• 27-35-47-59 hexany (like melting rainbow ice cream in the sun)

In no-17s subgroups

7.n

• 7-11-13-15 hexany

Not yet categorised

• Hexany 1029
• Hexany 126
• Hexany 225
• Hexany 2401
• Hexany 245
• Hexany 3136
• Hexany 4375
• Hexany 5120
• Hexany 6144
• Hexany 65625
• Hexany 875
• User:BudjarnLambeth/My favourite hexanies using at least one odd greater than 15

Dekanies (10-tone)

Main page: Dekany

In no-3s subgroups

• 1-5-7-11-13 dekany

In no-5s subgroups

• 1-3-7-9-11 dekany
• 1-3-7-11-13 dekany
• 1-3-9-11-13 dekany
• 3-7-9-11-13 dekany

In no-7s subgroups

• 1-3-5-9-81 dekany
• 1-3-5-9-11 dekany
• 1-3-5-9-13 dekany
• 1-3-5-11-13 dekany
• 1-3-5-11-15 dekany
• 1-3-5-13-15 dekany
• 1-3-9-11-15 dekany
• 1-5-9-11-13 dekany
• 3-5-9-11-13 dekany

In no-11s subgroups

• 1-3-5-7-9 dekany
• 1-3-5-7-13 dekany
• 1-3-5-7-15 dekany
• 1-3-5-9-15 dekany
• 1-3-7-9-13 dekany
• 1-3-7-9-15 dekany
• 1-5-7-9-13 dekany
• 1-3-7-13-15 dekany

In no-13s subgroups

• 1-3-5-7-11 dekany
• 1-3-7-11-15 dekany
• 1-5-7-9-11 dekany
• 3-5-7-9-11 dekany

In no-17s subgroups

• 3-5-7-11-13 dekany

Related to regular temperament scales

• Dekany agni
• Dekany apollo
• Dekany guanyin
• Dekany indra
• Dekany jove
• Dekany laka
• Dekany marvel
• Dekany minerva
• Dekany pele
• Dekany portent
• Dekany prodigy
• Dekany sensamagic
• Dekany spectacle
• Dekany zeus
• Dekany-cs-marv
• Dekanymarvwoo

Not yet categorised

• Deka1029
• Deka126
• Deka1728
• Deka225
• Deka2401
• Deka245
• Deka3136
• Deka4375
• Deka5120
• Deka6144
• Deka65625
• Deka875
• Dekany-cs

Bihexanies (12-tone)

Main page: Bihexany

Generated by 7-odd-limit elements

• 1-3-5-7 by 3/2 bihexany
• 1-3-5-7 by 6/5 bihexany
• 1-3-5-7 by 12/7 bihexany

Generated by 9-odd-limit elements

• 1-3-5-7 by 9/5 bihexany
• 1-3-5-7 by 9/7 bihexany
• 1-3-5-9 by 7/5 bihexany
• 1-3-7-9 by 5/4 bihexany
• 1-5-7-9 by 4/3 bihexany
• 3-5-7-9 by 5/4 bihexany

Generated by 11-odd-limit elements

• 1-3-7-9 by 11/8 bihexany
• 1-3-7-11 by 18/11 bihexany
• 1-7-9-11 by 4/3 bihexany
• 3-5-9-11 by 5/4 bihexany

Generated by 13-odd-limit elements

• 1-3-5-9 by 13/9 bihexany
• 1-5-9-13 by 3/2 bihexany
• 1-7-9-13 by 4/3 bihexany
• 5-9-11-13 by 3/2 bihexany

Generated by 15-odd-limit elements

No-7s

• 1-3-5-13 by 18/13 bihexany
• 1-3-9-15 by 11/8 bihexany
• 1-3-11-15 by 6/5 bihexany
• 1-3-13-15 by 18/13 bihexany
• 1-5-11-15 by 6/5 bihexany
• 1-5-13-15 by 16/9 bihexany
• 1-9-11-15 by 12/11 bihexany
• 1-9-13-15 by 8/5 bihexany
• 1-11-13-15 by 4/3 bihexany
• 5-9-11-15 by 15/13 bihexany
• 5-9-13-15 by 5/4 bihexany
• 5-11-13-15 by 11/9 bihexany
• 9-11-13-15 by 3/2 bihexany
• 9-11-13-15 by 33/26 bihexany

No-11s

• 1-3-7-15 by 6/5 bihexany
• 1-3-7-15 by 9/7 bihexany
• 1-3-9-15 by 7/6 bihexany
• 1-5-7-15 by 6/5 bihexany
• 1-7-9-15 by 4/3 bihexany
• 1-7-9-15 by 7/5 bihexany
• 1-7-13-15 by 7/5 bihexany
• 3-5-7-15 by 9/5 bihexany
• 3-5-7-15 by 9/8 bihexany
• 3-7-13-15 by 4/3 bihexany
• 3-7-13-15 by 7/5 bihexany
• 5-7-9-15 by 5/4 bihexany
• 5-7-9-15 by 7/4 bihexany
• 5-7-9-15 by 9/8 bihexany
• 5-7-13-15 by 9/8 bihexany
• 5-7-13-15 by 22/13 bihexany

No-13s

• 3-5-7-15 by 11/7 bihexany
• 3-7-11-15 by 7/5 bihexany
• 5-7-9-15 by 11/9 bihexany
• 7-9-11-15 by 3/2 bihexany

No-17s

• 7-11-13-15 by 7/5 bihexany

Generated by 17-odd-limit elements

• 1-3-5-9 by 17/12 bihexany
• 1-5-9-15 by 17/12 bihexany
• 3-5-7-15 by 17/14 bihexany
• 3-5-11-13 by 24/17 bihexany
• 3-11-13-15 by 24/17 bihexany

Generated by 19-odd-limit elements

• 1-3-9-17 by 19/16 bihexany
• 3-5-15-19 by 9/8 bihexany
• 3-5-7-15 by 19/14 bihexany
• 3-5-13-15 by 19/17 bihexany
• 3-7-9-15 by 19/17 bihexany

Higher odd-limit elements

21-odd

• 3-5-11-15 by 21/11 bihexany
• 3-7-13-15 by 21/13 bihexany
• 7-9-13-15 by 21/13 bihexany

23-odd

• 3-5-7-15 by 23/14 bihexany

25-odd
27-odd

• 1-5-7-15 by 32/27 bihexany
• 3-5-7-15 by 27/14 bihexany
• 3-9-13-15 by 27/26 bihexany

29-odd

• 5-7-9-15 by 29/18 bihexany

31-odd
33-odd

• 1-5-11-15 by 40/33 bihexany

35-odd

• 1-3-5-7 by 36/35 bihexany
• 1-3-7-15 by 48/35 bihexany

37...43
45-odd

• 1-3-5-9 by 64/45 bihexany
• 1-5-9-15 by 64/45 bihexany
• 3-5-7-15 by 45/28 bihexany

47...53
55-odd

• 1-9-11-15 by 72/55 bihexany

57...63
65-odd

• 3-5-11-13 by 96/65 bihexany

67...97
99-odd

• 1-7-13-15 by 140/99 bihexany

Not yet categorised

• Bihexanymyna
• GW Smith bihexany 14 Feb 2011

Duohexanies (12-tone)

Main page: Duohexany

• Duohex
• Duohexmarvwoo
• Duohexmean
• Hexanys-valentino

Stellated hexanies (14-tone)

Main page: Stellated hexany

• 3-5-9-11 stellated hexany
• 3-5-9-15 stellated hexany
• 3-7-11-15 stellated hexany
• 3-7-13-15 stellated hexany
• Stelhex
• Stelhex-catakleismic
• Stelhex2
• Stelhex5
• Stellarhex

Pentadekanies (15-tone)

Main page: Pentadekany

Eikosanies (20-tone)

Main page: Eikosany

• Eikosanyplusop