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Gallery of combination product sets: Difference between revisions

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


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


== Pentanies ==
''Italicised text following an em-dash beside a listed scale is a description by a wiki contributor of the subjective mood they personally feel when listening to the scale.''
 
== Pentanies (5-tone) ==
[[Category:5-tone scales]]
[[Category:5-tone scales]]
CPS (4 of 1 3 5 7 11)
''Main page: [[Pentany]]''
* Intervals: 11/10, 11/8, 11/7, 11/6, 2/1
 
* Description: sturdy, grounded
* [[4 from 1-3-5-7-11 pentany]] — ''sturdy, earthy''
* Subset of: [[11-limit]] JI, [[11ifdo]]
* [[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) ==
[[Category:6-tone scales]]
''Main page: [[Hexany]]''
 
=== In no-3s [[subgroup]]s ===


==== 1.n ====
* [[1-5-7-11 hexany]] — ''lopsided''
* [[1-5-7-13 hexany]] — ''spicier whole tone scale''
* [[1-7-11-13 hexany]] — ''extra [[xenharmonic]]''


CPS (4 of 5 17 23 29 37)
==== 5.n ====
* Intervals: 37/34, 37/29, 37/23, 37/20, 2/1
* [[5-7-11-13 hexany]] — ''melodically effective, contains a diminished chord''
* Description: like anticipation, sunrise
* Subset of: [[37-limit]] JI, [[37ifdo]]


=== In no-5s subgroups ===


CPS (4 of 5 17 23 29 41)
==== 1.n ====
* Intervals: 41/40, 41/34, 41/29, 41/23, 2/1
* [[1-3-7-9 hexany]] — ''a [[detempering]] of the [[archy]] scale''
* Description: enchanting, ethereal
* [[1-3-7-11 hexany]] — ''symmetrical shape; 2 strong tonal centres''
* Subset of: [[41-limit]] JI, [[41ifdo]]
* [[1-3-7-13 hexany]] — ''extra xenharmonic''
* [[1-3-7-21 hexany]] — ''a [[detempering]] of the [[semaphore]] scale''
* [[1-3-9-11 hexany]] — ''an even mix of xenharmonic and familiar''
* [[1-3-9-13 hexany]] — ''an even mix of xenmelodic and familiar''
* [[1-3-9-17 hexany]] — ''whole tone scale-like structure, but new unfamiliar melodies and harmonies''
* [[1-3-11-13 hexany]] — ''sounds surprisingly un-xenharmonic''
* [[:File:Hexany 1 3 21 29.png|1-3-21-29 hexany]] — ''fierce, groovy, dark''
* [[1-3-21-49 hexany]] — ''a [[detempering]] of the [[slendric]] scale''
* [[1-7-9-11 hexany]] — ''warped xenharmonic whole tone scale''
* [[1-7-9-13 hexany]] — ''lopsided''


==== 3.n ====
* [[3-7-9-11 hexany]] — ''fresh [[11-limit]] JI version of the augmented scale''
* [[3-7-9-13 hexany]] — ''effective both at melody and harmony''
* [[3-7-11-13 hexany]] — ''very lopsided, very xenharmonic''
* [[3-9-11-13 hexany]] — ''lopsided but with lots of useful consonances''
* [[:File:Hexany 3 9 19 31.png|3-9-19-31 hexany]] — ''sparkly, pretty''


CPS (4 of 5 17 23 31 41)
==== 7.n ====
* Intervals: 41/40, 41/34, 41/31, 41/23, 2/1
* [[7-9-11-13 hexany]] — ''neat step pattern useful for melody and harmony, no [[5-limit]] intervals - forces xenharmony''
* Description: sorrowful, warm
* Subset of: [[41-limit]] JI, [[41ifdo]]


=== In no-7s subgroups ===


CPS (4 of 5 17 23 31 43)
==== 1.n ====
* Intervals: 43/40, 43/34, 43/31, 43/23, 2/1
* [[1-3-5-9 hexany]] — ''difficult due to [[wolf interval|wolf fifth]] - better as a basis for building larger scales''
* Description: tense, alert
* [[1-3-5-11 hexany]] — ''stable chord roots + very xenharmonic''
* Subset of: [[43-limit]] JI, [[43ifdo]]
* [[1-3-5-13 hexany]] — ''stable chord roots + very xenharmonic''
* [[1-3-5-15 hexany]] — ''difficult to use''
* [[1-3-5-45 hexany]] — ''very useful foundation for adding xenharmonic notes on top off; can play all ''Zelda'''s ocarina melodies''
* [[1-3-5-81 hexany]] — ''built around subtle pitch shifts''
* [[1-3-5-121 hexany]] — ''built-in beating effect that could be interesting''
* [[1-3-9-135 hexany]] — ''near identical to [[1-3-9-17 hexany]]''
* [[1-3-11-15 hexany]] — ''lopsided''
* [[1-3-13-15 hexany]] — ''lopsided''
* [[1-5-9-11 hexany]] — ''very lopsided and very xenharmonic''
* [[1-5-9-13 hexany]] — ''easy to build [[bihexany]]s with''
* [[1-5-9-15 hexany]] — ''easy to build [[dekany]]s with''
* [[1-5-11-13 hexany]] — ''an [[omniconsonant scale]]''
* [[1-5-11-15 hexany]] — ''easy to build [[bihexany]]s with''
* [[1-5-13-15 hexany]] — ''big variety of consonances useful for emotionally expressive music''
* [[1-9-11-15 hexany]] — ''very melodically effective; all the chords will be unfamiliar''
* [[1-9-11-13 hexany]] — ''better to remove one note and use as a [[pentatonic]] scale instead''
* [[1-9-13-15 hexany]] — ''lopsided''
* [[1-11-13-15 hexany]] — ''very melodically effective; all the chords will be unfamiliar''
* [[1-15-45-75 hexany]] — ''a [[detempering]] of the blues scale with sweet simple [[just intonation]] harmonies that blend well''


== Hexanies ==
==== 3.n ====
[[Category:6-tone scales]]
* [[3-5-9-11 hexany]] — ''very xenharmonic''
''Main page: [[Hexany]]''
* [[3-5-9-13 hexany]] — ''very useful both for melody and harmony; contains good [[barbados]] intervals''
* [[3-5-9-15 hexany]] — ''too similar to [[12edo]] to be interesting''
* [[3-5-9-25 hexany]] — ''easy to build a [[bihexany]] or [[stellated hexany]] with''
* [[3-5-9-27 hexany]] — ''useful as a teaching tool, but not for making real music''
* [[3-5-11-13 hexany]] — ''unwieldy but xenharmonically interesting''
* [[3-5-11-15 hexany]] — ''both xenharmonic yet also highly accessible - recommended for beginner microtonalists''
* [[3-5-13-15 hexany]] — ''both xenharmonic yet also highly accessible - recommended for beginner microtonalists''
* [[3-5-15-19 hexany]] — ''useful for ear training; contains a [[wolf interval|wolf fifth]]''
* [[3-5-15-27 hexany]] — ''a worse version of the normal major scale''
* [[3-9-11-15 hexany]] — ''unfamiliar notes''
* [[3-9-13-15 hexany]] — ''very xenharmonic melodies; easy to learn the notes and intervals - especially audibly distinct from one another''
* [[3-11-13-15 hexany]] — ''unwieldy''


==== 5.n ====
* [[5-9-11-13 hexany]] — ''useful for building melodies; an even mix of familiar and xenharmonic''
* [[5-9-11-15 hexany]] — ''a [[detempering]] of the [[porcupine]] scale; nice melodies''
* [[5-9-13-15 hexany]] — ''melodically interesting but harmonically unrewarding''
* [[5-11-13-15 hexany]] — ''highly recommended; an even mix of familiar and xenharmonic''


CPS (2 of 1 3 5 7)
==== 9.n ====
* Intervals: 7/6, 5/4, 35/24, 5/3, 7/4, 2/1
* [[9-11-13-15 hexany]] — ''better used as a [[pentatonic]] scale by removing 1 note''
* Description: hazy, cold
* Subset of: [[7-limit]] JI
''Main page: [[1-3-5-7 hexany]].''


=== In no-11s subgroups ===


CPS (2 of 1 17 27 49)
==== 1.n ====
* Intervals: 1323/1088, 49/34, 49/32, 27/17, 27/16, 2/1
* [[1-3-5-7 hexany]] — ''cold, hazy''
* Description: clumsy, mischievous
* [[1-3-7-15 hexany]] — ''lopsided''
* Subset of: [[17-limit]] JI, [[subgroup|2.3.7.17 subgroup]] JI
* [[1-5-7-9 hexany]] — ''whole tone scale-like but with a [[quarter tone]], making it very xenharmonic''
* [[1-7-9-15 hexany]] — ''lopsided but useful for making [[bihexany]]s''
* [[1-7-13-15 hexany]] — ''useful for making [[bihexany]] versions of [[10edo]], which would be a type of [[neji]]''


==== 3.n ====
* [[3-5-7-9 hexany]] — ''useful for melody and harmony''
* [[3-5-7-13 hexany]] — ''useful for building [[dekany]]s''
* [[3-5-7-15 hexany]] — ''the optimal configuration for maximising the number and variety of simple harmonies available in a hexatonic scale; strong melodically also''
* [[3-5-15-21 hexany]] — ''solidly rooted and consonant''
* [[3-7-9-15 hexany]] — ''big variety of chords available, both familiar and xenharmonic ones''
* [[3-7-13-15 hexany]] — ''related to the [[negri]] scale; useful for building [[bihexany]]s or [[dekany]]s''
* [[3-9-15-21 hexany]] — ''very similar to the [[1-3-5-7 hexany]]''


CPS (2 of 1 19 25 55)
==== 5.n ====
* Intervals: 64/55, 25/19, 320/209, 32/19, 20/11, 2/1
* [[5-7-9-13 hexany]] — ''very xenharmonic; easy to expand to a [[bihexany]] or [[dekany]]''
* Description: vast, stern, robotic
* [[5-7-9-15 hexany]] — ''potential for good compositions; a [[detempering]] of the [[starling]] scale''
* Subset of: [[19-limit]] JI, [[subgroup|2.5.11.19 subgroup]] JI
* [[5-7-13-15 hexany]] — ''both harmonically and melodically strong, and useful for [[bihexany]]s''


==== 7.n ====
* [[7-9-13-15 hexany]] — ''useful for building [[bihexany]]s or [[dekany]]s out of''


CPS (2 of 5 17 23 29)
==== 9.n ====
* Intervals: 23/20, 23/17, 29/20, 29/17, 667/340, 2/1
* [[9-25-49-81 hexany]] — ''a diminished tetrad with built-in beating effects''
* Description: dreamlike, hypnotic
* Subset of: [[29-limit]] JI, [[subgroup|2.5.17.23.29 subgroup]] JI


=== In no-13s subgroups ===


CPS (2 of 5 17 23 31)
==== 1.n ====
* Intervals: 713/680, 23/20, 23/17, 31/20, 31/17, 2/1
* [[1-7-11-15 hexany]] — ''a little unwieldy''
* Description: groovy, funky
* Subset of: [[31-limit]] JI, [[subgroup|2.5.17.23.31 subgroup]] JI


==== 3.n ====
* [[3-5-7-11 hexany]] — ''very xenharmonic''
* [[3-7-9-55 hexany]] — ''creates interesting complex beating when played in the bass or sub bass range''
* [[3-7-11-15 hexany]] — ''xenharmonic but also with sweet major thirds''


CPS (2 of 8 21 29 48)
==== 5.n ====
* Intervals: 29/28, 8/7, 29/21, 3/2, 29/16, 2/1
* [[5-7-9-11 hexany]] — ''a [[neji]] of [[6edo]] with an [[primodality|over-35 semiprime]] feel''
* Description: funky, dark, fierce
* [[5-7-9-33 hexany]] — ''though the small steps are mathematically distinct from one another, they don't sound audibly distinct''
* Subset of: [[29-limit]] JI, [[subgroup|2.3.7.29 subgroup]] JI
* [[5-7-11-15 hexany]] — ''lopsided''


==== 7.n ====
* [[7-9-11-15 hexany]] — ''useful for building [[bihexany]]s''
* [[:File:Hexany 7 11 17 45 cents.png|7-11-17-45 hexany]] — ''dark, supernatural, metallic''


CPS (2 of 19 31 36 48)
==== 27.n ====
* Intervals: 36/31, 24/19, 864/589, 48/31, 36/19, 2/1
* [[:File:Hexany 27 35 47 59 cents.png|27-35-47-59 hexany]] — ''like melting rainbow ice cream in the sun''
* Description: pretty, sparkly
* Subset of: [[31-limit]] JI, [[subgroup|2.3.19.31 subgroup]] JI


=== In no-17s subgroups ===


CPS (2 of 21 32 38 45)
==== 7.n ====
* Intervals: 15/14, 19/16, 285/224, 45/32, 38/21, 2/1
* [[7-11-13-15 hexany]] — ''useful for writing melody - expanding into a [[bihexany]] makes it more useful still''
* Description: playful, cheeky
* Subset of: [[19-limit]] JI, [[subgroup|2.3.5.7.19 subgroup]] JI


=== Hexanies with pages ===
=== Not yet categorised ===
* [[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]]
* [[1-5-7-11 hexany]]
* [[1-5-9-15 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 130: Line 175:
* [[Hexany 65625]]
* [[Hexany 65625]]
* [[Hexany 875]]
* [[Hexany 875]]
* [[Hexanys-valentino]]
* [[User:BudjarnLambeth/My favourite hexanies using at least one odd greater than 15]]
 
== Dekanies (10-tone) ==
[[Category:10-tone scales]]
''Main page: [[Dekany]]''
 
=== In no-3s subgroups ===
* [[1-5-7-11-13 dekany]]
* [[5-7-9-11-13 dekany]]
 
=== In no-5s subgroups ===
* [[1-3-7-9-11 dekany]]
* [[1-3-7-11-13 dekany]]
* [[1-3-9-11-13 dekany]] — ''recommended''
* [[1-3-7-9-29 dekany]] — ''recommended''
* [[1-7-9-11-13 dekany]] — ''highly unusual but not necessarily bad''
* [[3-7-9-11-13 dekany]] — ''recommended''


=== Modified hexanies ===
=== In no-7s subgroups ===
* [[Bihexany]]
* [[1-3-5-9-11 dekany]]
* [[Bihexanymyna]]
* [[1-3-5-9-13 dekany]]
* [[Duohex]]
* [[1-3-5-9-81 dekany]]
* [[Duohexmarvwoo]]
* [[1-3-5-11-13 dekany]] — ''recommended''
* [[1-3-5-11-15 dekany]] — ''recommended''
* [[1-3-5-13-15 dekany]] — ''recommended''
* [[1-3-9-11-15 dekany]] — ''recommended''
* [[1-3-9-13-15 dekany]]
* [[1-3-11-13-15 dekany]]
* [[1-5-9-11-13 dekany]]
* [[1-5-9-11-15 dekany]] — ''recommended''
* [[1-5-9-13-15 dekany]] — ''recommended''
* [[1-5-11-13-15 dekany]] — ''recommended''
* [[1-9-11-13-15 dekany]]
* [[3-5-9-11-13 dekany]]
* [[3-5-9-11-15 dekany]] — ''recommended''
* [[3-5-9-13-15 dekany]] — ''recommended''
* [[3-5-11-13-15 dekany]] — ''recommended''
* [[3-9-11-13-15 dekany]] — ''recommended''
* [[5-9-11-13-15 dekany]] — ''recommended''


== Dekanies ==
=== In no-11s subgroups ===
''Main page: [[Dekany]]''
* [[1-3-5-7-9 dekany]]
* [[1-3-5-7-9 dekany]]
* [[1-3-5-7-13 dekany]]
* [[1-3-5-7-13 dekany]]
* [[1-3-5-9-11 dekany]]
* [[1-3-5-7-15 dekany]] — ''recommended''
* [[1-3-5-9-81 dekany]]
* [[1-3-5-9-15 dekany]]
* [[Deka1029]]
* [[1-3-7-9-13 dekany]] — ''recommended''
* [[Deka126]]
* [[1-3-7-9-15 dekany]]
* [[Deka1728]]
* [[1-3-7-13-15 dekany]]
* [[Deka225]]
* [[1-5-7-9-13 dekany]] — ''recommended''
* [[Deka2401]]
* [[1-5-7-9-15 dekany]]
* [[Deka245]]
* [[1-5-7-13-15 dekany]] — ''recommended''
* [[Deka3136]]
* [[1-7-9-13-15 dekany]]
* [[Deka4375]]
* [[3-5-7-9-13 dekany]]
* [[Deka5120]]
* [[3-5-7-9-15 dekany]] — ''recommended''
* [[Deka6144]]
* [[3-5-7-13-15 dekany]] — ''recommended''
* [[Deka65625]]
* [[3-7-9-13-15 dekany]] — ''recommended''
* [[Deka875]]
* [[5-7-9-13-15 dekany]]
 
=== In no-13s subgroups ===
* [[1-3-5-7-11 dekany]]
* [[1-3-7-11-15 dekany]]
* [[1-5-7-9-11 dekany]]
* [[1-5-7-11-15 dekany]] — ''recommended but extra spicy''
* [[1-7-9-11-15 dekany]]
* [[3-5-7-9-11 dekany]]
* [[3-5-7-11-15 dekany]] — ''recommended''
* [[3-7-9-11-15 dekany]]
* [[5-7-9-11-15 dekany]] — ''recommended''
 
=== In no-17s subgroups ===
* [[1-7-11-13-15 dekany]]
* [[3-5-7-11-13 dekany]]
* [[3-7-11-13-15 dekany]]
* [[5-7-11-13-15 dekany]]
* [[7-9-11-13-15 dekany]] — ''recommended, but extra spicy''
 
=== Related to [[regular temperament]] scales ===
* [[Dekany agni]]
* [[Dekany agni]]
* [[Dekany apollo]]
* [[Dekany apollo]]
Line 170: Line 266:
* [[Dekany spectacle]]
* [[Dekany spectacle]]
* [[Dekany zeus]]
* [[Dekany zeus]]
* [[Dekany-cs]]
* [[Dekany-cs-marv]]
* [[Dekany-cs-marv]]
* [[Dekanymarvwoo]]
* [[Dekanymarvwoo]]


== Pentadekanies ==
=== Not yet categorised ===
''Main page: [[Pentadekany]]''
* [[Deka1029]]
* [[Deka126]]
* [[Deka1728]]
* [[Deka225]]
* [[Deka2401]]
* [[Deka245]]
* [[Deka3136]]
* [[Deka4375]]
* [[Deka5120]]
* [[Deka6144]]
* [[Deka65625]]
* [[Deka875]]
* [[Dekany-cs]]
 
== Bihexanies (12-tone) ==
[[Category:12-tone scales]]
''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 8/5 bihexany]]
* [[1-3-5-7 by 10/7 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]]
* [[1-3-5-7 by 9/8 bihexany]]
* [[1-3-5-9 by 7/5 bihexany]]
* [[1-3-7-9 by 5/4 bihexany]] — ''recommended''
* [[1-5-7-9 by 4/3 bihexany]]
* [[3-5-7-9 by 5/4 bihexany]] — ''recommended''
 
=== 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]] — ''recommended''
* [[3-5-7-11 by 3/2 bihexany]] — ''recommended''
* [[3-5-9-11 by 5/4 bihexany]]
 
=== Generated by 13-odd-limit elements ===
* [[1-3-5-9 by 13/9 bihexany]] — ''recommended''
* [[1-5-9-13 by 3/2 bihexany]] — ''recommended''
* [[1-7-9-13 by 4/3 bihexany]]
* [[5-9-11-13 by 3/2 bihexany]] — ''recommended''
 
=== Generated by 15-odd-limit elements ===
 
==== No-7s ====
* [[1-3-5-13 by 18/13 bihexany]] — ''recommended''
* [[1-3-9-15 by 11/8 bihexany]]
* [[1-3-11-15 by 6/5 bihexany]]
* [[1-3-13-15 by 18/13 bihexany]] — ''recommended''
* [[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]]
* [[3-5-9-15 by 6/5 bihexany]]
* [[3-5-9-15 by 10/9 bihexany]]
* [[5-9-11-15 by 5/4 bihexany]]
* [[5-9-11-15 by 15/13 bihexany]]
* [[5-9-13-15 by 5/4 bihexany]] — ''recommended''
* [[5-11-13-15 by 11/9 bihexany]]
* [[9-11-13-15 by 3/2 bihexany]]
* [[9-11-13-15 by 33/26 bihexany]] — ''recommended''
 
==== No-11s ====
* [[1-3-5-7 by 15/14 bihexany]] — ''recommended''
* [[1-3-5-7 by 16/15 bihexany]]
* [[1-3-7-15 by 6/5 bihexany]]
* [[1-3-7-15 by 9/7 bihexany]] — ''recommended''
* [[1-3-9-15 by 7/6 bihexany]]
* [[1-5-7-15 by 6/5 bihexany]]
* [[1-7-9-15 by 4/3 bihexany]] — ''recommended''
* [[1-7-9-15 by 7/5 bihexany]]
* [[1-7-13-15 by 7/5 bihexany]] — ''recommended''
* [[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]] — ''recommended''
* [[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]] — ''recommended''
* [[5-7-9-15 by 11/9 bihexany]]
* [[5-7-11-15 by 18/11 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]] — ''recommended''
* [[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]] — ''recommended''
* [[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]] — ''recommended''
 
=== Higher odd-limit elements ===
 
==== 21-odd ====
* [[1-3-5-7 by 21/16 bihexany]]
* [[1-3-5-7 by 40/21 bihexany]]
* [[3-5-11-15 by 21/11 bihexany]]
* [[3-7-13-15 by 21/13 bihexany]]
* [[7-9-13-15 by 21/13 bihexany]] — ''recommended''
 
==== 23-odd ====
* [[3-5-7-15 by 23/14 bihexany]]
 
==== 25-odd ====
''(none documented)''
 
==== 27-odd ====
* [[1-5-7-15 by 32/27 bihexany]]
* [[3-5-7-15 by 27/14 bihexany]] — ''recommended''
* [[3-9-13-15 by 27/26 bihexany]] — ''recommended''
 
==== 29-odd ====
* [[5-7-9-15 by 29/18 bihexany]]
 
==== 31-odd ====
''(none documented)''
 
==== 33-odd ====
* [[1-5-11-15 by 40/33 bihexany]]
 
==== 35-odd ====
* [[1-3-5-7 by 36/35 bihexany]]
* [[1-3-5-7 by 48/35 bihexany]]
* [[1-3-5-7 by 64/35 bihexany]] — ''recommended''
* [[1-3-7-15 by 48/35 bihexany]] — ''recommended''
 
==== 37-odd to 43-odd ====
''(none documented)''
 
==== 45-odd ====
* [[1-3-5-7 by 56/45 bihexany]]
* [[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-odd to 53-odd ====
''(none documented)''
 
==== 55-odd ====
* [[1-9-11-15 by 72/55 bihexany]]
 
==== 57-odd to 61-odd ====
''(none documented)''
 
==== 63-odd ====
* [[1-3-5-7 by 80/63 bihexany]] — ''recommended''
 
==== 65-odd ====
* [[3-5-11-13 by 96/65 bihexany]] — ''good for metallophone timbres like bells or Gamelan''
 
==== 67-odd to 97-odd ====
''(none documented)''
 
==== 99-odd ====
* [[1-7-13-15 by 140/99 bihexany]]
 
==== 101-odd to 133-odd ====
''(none documented)''
 
==== 135-odd ====
* [[1-3-9-135 by 57/34 bihexany]] — ''recommended''
 
=== Not yet categorised ===
* [[Bihexanymyna]]
* [[GW Smith bihexany 14 Feb 2011]]
 
== Duohexanies (12-tone) ==
[[Category:12-tone scales]]
''Main page: [[Duohexany]]''
 
* [[Duohex]]
* [[Duohexmarvwoo]]
* [[Duohexmean]]
* [[Hexanys-valentino]]
 
== Stellated hexanies (14-tone) ==
[[Category:14-tone scales]]
''Main page: [[Stellated hexany]]''
 
=== In no-3s subgroups ===
* [[1-5-7-11 stellated hexany]] — ''recommended''
* [[1-5-7-13 stellated hexany]]
* [[1-5-11-13 stellated hexany]]
* [[1-7-11-13 stellated hexany]] — ''recommended''
 
=== In no-5s subgroups ===
* [[1-3-7-9 stellated hexany]]
* [[1-3-7-11 stellated hexany]] — ''recommended''
* [[1-3-7-13 stellated hexany]] — ''recommended''
* [[1-3-9-11 stellated hexany]]
* [[1-3-9-13 stellated hexany]] — ''recommended''
* [[1-3-11-13 stellated hexany]] — ''recommended''
* [[1-7-9-11 stellated hexany]]
* [[1-7-9-13 stellated hexany]]
* [[3-7-9-11 stellated hexany]] — ''recommended''
* [[3-7-9-13 stellated hexany]] — ''recommended, but with 2 notes removed - read article''
* [[3-7-11-13 stellated hexany]] — ''recommended''
* [[3-9-11-13 stellated hexany]]
 
=== In no-7s subgroups ===
 
==== 1.n ====
* [[1-3-5-9 stellated hexany]]
* [[1-3-5-11 stellated hexany]]
* [[1-3-5-13 stellated hexany]]
* [[1-3-5-15 stellated hexany]] — ''not recommended for xenharmony, but it's a good JI version of the 'Hungarian minor' scale if one wants that''
* [[1-3-9-15 stellated hexany]]
* [[1-3-11-15 stellated hexany]]
* [[1-3-13-15 stellated hexany]] — ''recommended but spicy''
* [[1-5-9-11 stellated hexany]]
* [[1-5-9-13 stellated hexany]]
* [[1-5-9-15 stellated hexany]]
* [[1-5-11-15 stellated hexany]]
* [[1-5-13-15 stellated hexany]]
* [[1-11-13-15 stellated hexany]]  — ''recommended''
* [[1-15-45-75 stellated hexany]] — ''recommended''
 
==== 3.n ====
* [[3-5-9-11 stellated hexany]] — ''recommended''
* [[3-5-9-13 stellated hexany]] — ''recommended''
* [[3-5-9-15 stellated hexany]]
* [[3-5-9-25 stellated hexany]] — ''recommended''
* [[3-5-9-27 stellated hexany]]
* [[3-5-11-13 stellated hexany]] — ''recommended''
* [[3-5-11-15 stellated hexany]] — ''recommended''
* [[3-5-13-15 stellated hexany]]
* [[3-9-11-15 stellated hexany]] — ''recommended''
* [[3-9-13-15 stellated hexany]]
* [[3-9-25-625 stellated hexany]] — ''recommended''
* [[3-11-13-15 stellated hexany]] — ''recommended''
 
==== 5.n ====
* [[5-9-11-13 stellated hexany]]
* [[5-9-11-15 stellated hexany]] — ''recommended (rotate it)''
* [[5-9-13-15 stellated hexany]] — ''recommended with 2 steps optionally removed (see article)''
* [[5-11-13-15 stellated hexany]] — ''recommended but spicy''
 
=== In no-11s subgroups ===
* [[1-3-5-7 stellated hexany]] — ''recommended''
* [[1-3-7-15 stellated hexany]]
* [[1-5-7-9 stellated hexany]]
* [[1-5-7-15 stellated hexany]]
* [[1-7-9-15 stellated hexany]]
* [[1-7-13-15 stellated hexany]]
* [[3-5-7-9 stellated hexany]] — ''recommended with 2 notes removed - read article''
* [[3-5-7-13 stellated hexany]] — ''recommended''
* [[3-5-7-15 stellated hexany]]
* [[3-7-9-15 stellated hexany]] — ''recommended with 2 notes removed - read article''
* [[3-7-13-15 stellated hexany]] — ''recommended''
* [[3-9-15-21 stellated hexany]] — ''recommended''
* [[5-7-9-13 stellated hexany]]
* [[5-7-9-15 stellated hexany]] — ''recommended (rotate it above 3/2)''


== Eikosanies ==
=== In no-13s subgroups ===
''Main page: [[Eikosany]]''
* [[1-7-11-15 stellated hexany]]
* [[Eikosanyplusop]]
* [[3-5-7-11 stellated hexany]] — ''recommended''
* [[3-7-11-15 stellated hexany]]
* [[5-7-9-11 stellated hexany]]
* [[5-7-11-15 stellated hexany]] — ''recommended''


== Stellated hexanies ==
=== Not yet categorised ===
* [[Stelhex]]
* [[Stelhex]]
* [[Stelhex-catakleismic]]
* [[Stelhex-catakleismic]]
Line 187: Line 557:
* [[Stelhex5]]
* [[Stelhex5]]
* [[Stellarhex]]
* [[Stellarhex]]
== Pentadekanies (15-tone) ==
''Main page: [[Pentadekany]]''
=== 1.3.n ===
* [[1-3-5-7-9-11 pentadekany]]
* [[1-3-5-7-9-13 pentadekany]] — ''recommended''
* [[1-3-5-7-9-15 pentadekany]]
* [[1-3-5-7-11-13 pentadekany]]
* [[1-3-5-7-11-15 pentadekany]] — ''recommended''
* [[1-3-5-7-13-15 pentadekany]]
* [[1-3-5-9-11-13 pentadekany]]
* [[1-3-5-9-11-15 pentadekany]]
* [[1-3-5-9-13-15 pentadekany]]
* [[1-3-5-11-13-15 pentadekany]] — ''recommended but only for advanced composers''
* [[1-3-7-9-11-13 pentadekany]] — ''recommended''
* [[1-3-7-9-11-15 pentadekany]] — ''recommended''
* [[1-3-7-9-13-15 pentadekany]]
* [[1-3-7-11-13-15 pentadekany]]
* [[1-3-9-11-13-15 pentadekany]]
=== 1.5.n ===
* [[1-5-7-9-11-13 pentadekany]]
* [[1-5-7-9-11-15 pentadekany]] — ''recommended''
* [[1-5-7-9-13-15 pentadekany]] — ''recommended''
* [[1-5-7-11-13-15 pentadekany]]
* [[1-5-9-11-13-15 pentadekany]]
=== 1.7.n ===
* [[1-7-9-11-13-15 pentadekany]]
=== 3.5.n ===
* [[3-5-7-9-11-13 pentadekany]]
* [[3-5-7-9-11-15 pentadekany]] — ''recommended''
* [[3-5-7-9-13-15 pentadekany]]
* [[3-5-7-11-13-15 pentadekany]] — ''recommended''
* [[3-5-9-11-13-15 pentadekany]] — ''recommended''
=== 3.7.n ===
* [[3-7-9-11-13-15 pentadekany]]
=== 5.7.n ===
* [[5-7-9-11-13-15 pentadekany]]
== Eikosanies (20-tone) ==
''Main page: [[Eikosany]]''
=== 1.3.n ===
* [[1-3-5-7-9-11 eikosany]]
* [[1-3-5-7-9-13 eikosany]]
* [[1-3-5-7-9-15 eikosany]]
* [[1-3-5-7-11-13 eikosany]]
* [[1-3-5-7-11-15 eikosany]]
* [[1-3-5-7-13-15 eikosany]]
* [[1-3-5-9-11-13 eikosany]]
* [[1-3-5-9-11-15 eikosany]]
* [[1-3-5-9-13-15 eikosany]]
* [[1-3-5-11-13-15 eikosany]]
* [[1-3-7-9-11-13 eikosany]]
* [[1-3-7-9-11-15 eikosany]]
* [[1-3-7-9-13-15 eikosany]]
* [[1-3-7-11-13-15 eikosany]]
* [[1-3-9-11-13-15 eikosany]]
=== 1.5.n ===
* [[1-5-7-9-11-13 eikosany]]
* [[1-5-7-9-11-15 eikosany]]
* [[1-5-7-9-13-15 eikosany]]
* [[1-5-7-11-13-15 eikosany]]
* [[1-5-9-11-13-15 eikosany]]
=== 1.7.n ===
* [[1-7-9-11-13-15 eikosany]]
=== 3.5.n ===
* [[3-5-7-9-11-13 eikosany]]
* [[3-5-7-9-11-15 eikosany]]
* [[3-5-7-9-13-15 eikosany]]
* [[3-5-7-11-13-15 eikosany]]
* [[3-5-9-11-13-15 eikosany]]
=== 3.7.n ===
* [[3-7-9-11-13-15 eikosany]]
=== 5.7.n ===
* [[5-7-9-11-13-15 eikosany]]
=== Other ===
* [[Eikosanyplusop]]


{{navbox scale gallery}}
{{navbox scale gallery}}
Retrieved from "https://en.xen.wiki/w/Gallery_of_combination_product_sets"