Gallery of combination product sets: Difference between revisions

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* Intervals: 7/6, 5/4, 35/24, 5/3, 7/4, 2/1
* Intervals: 7/6, 5/4, 35/24, 5/3, 7/4, 2/1
* Description: hazy, cold
* Description: hazy, cold
* Subset of: [[24afdo]] (mode of [[harmonic series]]), [[7-limit]] JI
* Subset of: [[7-limit]] JI
''Main page: [[1-3-5-7 hexany]].''
''Main page: [[1-3-5-7 hexany]].''


Line 53: Line 53:
* Intervals: 1323/1088, 49/34, 49/32, 27/17, 27/16, 2/1
* Intervals: 1323/1088, 49/34, 49/32, 27/17, 27/16, 2/1
* Description: clumsy, mischievous
* Description: clumsy, mischievous
* Subset of: [[1088afdo]] (mode of [[harmonic series]]), [[17-limit]] JI
* Subset of: [[17-limit]] JI, [[subgroup|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, robotic
* Subset of: [[19-limit]] JI, [[subgroup|2.5.11.19 subgroup]] JI




Line 59: Line 65:
* Intervals: 23/20, 23/17, 29/20, 29/17, 667/340, 2/1
* Intervals: 23/20, 23/17, 29/20, 29/17, 667/340, 2/1
* Description: dreamlike, hypnotised
* Description: dreamlike, hypnotised
* Subset of: [[340afdo]] (mode of [[harmonic series]]), [[29-limit]] JI
* Subset of: [[29-limit]] JI, [[subgroup|2.5.17.23.29 subgroup]] JI




Line 65: Line 71:
* Intervals: 713/680, 23/20, 23/17, 31/20, 31/17, 2/1
* Intervals: 713/680, 23/20, 23/17, 31/20, 31/17, 2/1
* Description: groovy, funky
* Description: groovy, funky
* Subset of: [[680afdo]] (mode of [[harmonic series]]), [[31-limit]] JI
* Subset of: [[31-limit]] JI, [[subgroup|2.5.17.23.31 subgroup]] JI




Line 71: Line 77:
* Intervals: 29/28, 8/7, 29/21, 3/2, 29/16, 2/1
* Intervals: 29/28, 8/7, 29/21, 3/2, 29/16, 2/1
* Description: funky, dark, fierce
* Description: funky, dark, fierce
* Subset of: [[336afdo]] (mode of [[harmonic series]]), [[29-limit]] JI
* Subset of: [[29-limit]] JI, [[subgroup|2.3.7.29 subgroup]] JI




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* Intervals: 36/31, 24/19, 864/589, 48/31, 36/19, 2/1
* Intervals: 36/31, 24/19, 864/589, 48/31, 36/19, 2/1
* Description: pretty, sparkly
* Description: pretty, sparkly
* Subset of: [[589afdo]] (mode of [[harmonic series]]), [[31-limit]] JI
* Subset of: [[31-limit]] JI, [[subgroup|2.3.19.31 subgroup]] JI




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* Intervals: 15/14, 19/16, 285/224, 45/32, 38/21, 2/1
* Intervals: 15/14, 19/16, 285/224, 45/32, 38/21, 2/1
* Description: playful, cheeky
* Description: playful, cheeky
* Subset of: [[224afdo]] (mode of [[harmonic series]]), [[19-limit]] JI
* Subset of: [[19-limit]] JI, [[subgroup|2.3.5.7.19 subgroup]] JI


=== Hexanies with pages ===
=== Hexanies with pages ===

Revision as of 07:34, 15 August 2025

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

CPS (4 of 1 3 5 7 11)


CPS (4 of 5 17 23 29 37)


CPS (4 of 5 17 23 29 41)


CPS (4 of 5 17 23 31 41)


CPS (4 of 5 17 23 31 43)

Hexanies

Main page: Hexany


CPS (2 of 1 3 5 7)

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

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


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)


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)

Hexanies with pages

Modified hexanies

Dekanies

Main page: Dekany

Pentadekanies

Main page: Pentadekany

Eikosanies

Main page: Eikosany

Stellated hexanies


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
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