Gallery of combination product sets: Difference between revisions

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Line 12: Line 12:
* Intervals: 11/10, 11/8, 11/7, 11/6, 2/1
* Intervals: 11/10, 11/8, 11/7, 11/6, 2/1
* Description: sturdy, grounded
* Description: sturdy, grounded
* Subset of: [[22ifdo]] (mode of [[subharmonic series]]), [[11-limit]] JI
* Subset of: [[11-limit]] JI




Line 18: Line 18:
* Intervals: 37/34, 37/29, 37/23, 37/20, 2/1
* Intervals: 37/34, 37/29, 37/23, 37/20, 2/1
* Description: like anticipation, sunrise
* Description: like anticipation, sunrise
* Subset of: [[74ifdo]] (mode of [[subharmonic series]]), [[37-limit]] JI
* Subset of: [[37-limit]] JI, [[subgroup|5.17.23.29.37 subgroup]] JI




Line 24: Line 24:
* Intervals: 41/40, 41/34, 41/29, 41/23, 2/1
* Intervals: 41/40, 41/34, 41/29, 41/23, 2/1
* Description: enchanting, ethereal
* Description: enchanting, ethereal
* Subset of: [[82ifdo]] (mode of [[subharmonic series]]), [[41-limit]] JI
* Subset of: [[41-limit]] JI, [[subgroup|5.17.23.29.41 subgroup]] JI




Line 30: Line 30:
* Intervals: 41/40, 41/34, 41/31, 41/23, 2/1
* Intervals: 41/40, 41/34, 41/31, 41/23, 2/1
* Description: sorrowful, warm
* Description: sorrowful, warm
* Subset of: [[82ifdo]] (mode of [[subharmonic series]]), [[41-limit]] JI
* Subset of: [[41-limit]] JI, [[subgroup|5.17.23.31.41 subgroup]] JI




Line 36: Line 36:
* Intervals: 43/40, 43/34, 43/31, 43/23, 2/1
* Intervals: 43/40, 43/34, 43/31, 43/23, 2/1
* Description: tense, alert
* Description: tense, alert
* Subset of: [[86ifdo]] (mode of [[subharmonic series]]), [[43-limit]] JI
* Subset of: [[43-limit]] JI, [[subgroup|5.17.23.31.43 subgroup]] JI


== Hexanies ==
== Hexanies ==
Line 46: Line 46:
* 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]].''




Line 52: 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, stern, robotic
* Subset of: [[19-limit]] JI, [[subgroup|2.5.11.19 subgroup]] JI




CPS (2 of 5 17 23 29)
CPS (2 of 5 17 23 29)
* 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, hypnotic
* Subset of: [[340afdo]] (mode of [[harmonic series]]), [[29-limit]] JI
* Subset of: [[29-limit]] JI, [[subgroup|2.5.17.23.29 subgroup]] JI




Line 64: 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 70: 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




Line 76: Line 83:
* 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




Line 82: Line 89:
* 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 ===
* [[1-3-5-7 hexany]]
* [[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]]
* [[1-3-7-9 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]]
* [[1-3-11-13 hexany]]
* [[1-3-21-49 hexany]]
* [[1-5-7-9 hexany]]
* [[1-15-45-75 hexany]]
* [[3-5-7-9 hexany]]
* [[3-5-15-19 hexany]]
* [[3-5-15-21 hexany]]
* [[3-5-15-27 hexany]]
* [[3-7-9-55 hexany]]
* [[5-7-9-33 hexany]]
* [[9-25-49-81 hexany]]
* [[Hexany 1029]]
* [[Hexany 1029]]
* [[Hexany 126]]
* [[Hexany 126]]
Line 106: Line 138:
== Dekanies ==
== Dekanies ==
''Main page: [[Dekany]]''
''Main page: [[Dekany]]''
* [[1-3-5-7-9 dekany]]
* [[1-3-5-7-13 dekany]]
* [[Deka1029]]
* [[Deka1029]]
* [[Deka126]]
* [[Deka126]]
Line 151: Line 185:


{{navbox scale gallery}}
{{navbox scale gallery}}
[[Category:Combination product sets| ]]
[[Category:Lists of scales]]
[[Category:Lists of scales]]
[[Category:Just intonation scales]]
[[Category:Just intonation scales]]
[[Category:Combination product sets]]

Latest revision as of 22:12, 21 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)

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


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)

  • 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)

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 scales • Combination product sets • CS scales • Maximal harmony epimorphic scales • MOS transversals • Non-octave JI scales • Wakalixes • Z-polygon transversals • Other JI scales
Full list: Category:Just intonation scales
Tempered scales 12-tone tempered scales • Clippers • Essentially tempered scales • Marvel woo scales • MOS cradle scales • Non-octave tempered scales • Scalesmith systematic scales • Other tempered scales
Full list: Category:Tempered scales
ET subsets 11edo modes, 19edo modes, 22edo modes, 24edo scales, 31edo modes
All other scale gallery pages are included in Category:Lists of scales
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