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Gallery of combination product sets: Difference between revisions

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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.
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.
—''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.''




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.
''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) ==
== Pentanies (5-tone) ==
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* [[1-5-7-11 hexany]] — ''lopsided''
* [[1-5-7-11 hexany]] — ''lopsided''
* [[1-5-7-13 hexany]] — ''spicier whole tone scale''
* [[1-5-7-13 hexany]] — ''spicier whole tone scale''
* [[1-5-7-17 hexany]]
* [[1-5-11-17 hexany]] — ''unwieldy''
* [[1-5-13-17 hexany]]
* [[1-5-15-17 hexany]]
* [[1-7-11-13 hexany]] — ''extra [[xenharmonic]]''
* [[1-7-11-13 hexany]] — ''extra [[xenharmonic]]''
* [[1-7-11-17 hexany]] — ''both very useful and very [[xenharmonic]]''
* [[1-7-13-17 hexany]] — ''unwieldy''


==== 5.n ====
==== 5.n ====
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* [[1-3-9-17 hexany]] — ''whole tone scale-like structure, but new unfamiliar melodies and harmonies''
* [[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''
* [[1-3-11-13 hexany]] — ''sounds surprisingly un-xenharmonic''
* [[1-3-11-17 hexany]]
* [[1-3-13-17 hexany]]
* [[:File:Hexany 1 3 21 29.png|1-3-21-29 hexany]] — ''fierce, groovy, dark''
* [[: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''
* [[1-3-21-49 hexany]] — ''a [[detempering]] of the [[slendric]] scale''
* [[1-7-9-11 hexany]] — ''warped xenharmonic whole tone scale''
* [[1-7-9-11 hexany]] — ''warped xenharmonic whole tone scale''
* [[1-7-9-13 hexany]] — ''lopsided''
* [[1-7-9-13 hexany]] — ''lopsided''
* [[1-7-9-17 hexany]]
* [[1-9-11-17 hexany]]
* [[1-9-13-17 hexany]]


==== 3.n ====
==== 3.n ====
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* [[1-3-11-15 hexany]] — ''lopsided''
* [[1-3-11-15 hexany]] — ''lopsided''
* [[1-3-13-15 hexany]] — ''lopsided''
* [[1-3-13-15 hexany]] — ''lopsided''
* [[1-3-15-17 hexany]]
* [[1-5-9-11 hexany]] — ''very lopsided and very xenharmonic''
* [[1-5-9-11 hexany]] — ''very lopsided and very xenharmonic''
* [[1-5-9-13 hexany]] — ''easy to build [[bihexany]]s with''
* [[1-5-9-13 hexany]] — ''easy to build [[bihexany]]s with''
* [[1-5-9-15 hexany]] — ''easy to build [[dekany]]s with''
* [[1-5-9-15 hexany]] — ''easy to build [[dekany]]s with''
* [[1-5-9-17 hexany]]
* [[1-5-11-13 hexany]] — ''an [[omniconsonant scale]]''
* [[1-5-11-13 hexany]] — ''an [[omniconsonant scale]]''
* [[1-5-11-15 hexany]] — ''easy to build [[bihexany]]s with''
* [[1-5-11-15 hexany]] — ''easy to build [[bihexany]]s with''
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* [[1-9-11-13 hexany]] — ''better to remove one note and use as a [[pentatonic]] scale instead''
* [[1-9-11-13 hexany]] — ''better to remove one note and use as a [[pentatonic]] scale instead''
* [[1-9-13-15 hexany]] — ''lopsided''
* [[1-9-13-15 hexany]] — ''lopsided''
* [[1-9-15-17 hexany]] — ''lopsided''
* [[1-11-13-15 hexany]] — ''very melodically effective; all the chords will be unfamiliar''
* [[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''
* [[1-15-45-75 hexany]] — ''a [[detempering]] of the blues scale with sweet simple [[just intonation]] harmonies that blend well''
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* [[1-7-9-15 hexany]] — ''lopsided but useful for making [[bihexany]]s''
* [[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]]''
* [[1-7-13-15 hexany]] — ''useful for making [[bihexany]] versions of [[10edo]], which would be a type of [[neji]]''
* [[1-7-15-17 hexany]] — ''unwieldy''


==== 3.n ====
==== 3.n ====
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=== Generated by 15-odd-limit elements ===
=== Generated by 15-odd-limit elements ===
==== 1-3-5-9 variations ====
* [[1-3-5-9 by 4/3 bihexany]]
* [[1-3-5-9 by 6/5 bihexany]]
* [[1-3-5-9 by 8/5 bihexany]]
* [[1-3-5-9 by 10/9 bihexany]]
* [[1-3-5-9 by 13/10 bihexany]]
* [[1-3-5-9 by 16/9 bihexany]]
* [[1-3-5-9 by 16/15 bihexany]]
* [[1-3-5-9 by 25/18 bihexany]]
* [[1-3-5-9 by 27/20 bihexany]]
* [[1-3-5-9 by 32/27 bihexany]]
* [[1-3-5-9 by 11/9 bihexany]]


==== No-7s ====
==== No-7s ====
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* [[1-3-5-9 by 17/12 bihexany]] — ''recommended''
* [[1-3-5-9 by 17/12 bihexany]] — ''recommended''
* [[1-5-9-15 by 17/12 bihexany]]
* [[1-5-9-15 by 17/12 bihexany]]
* [[1-5-9-17 by 10/7 bihexany]] — ''recommended''
* [[1-5-9-17 by 24/17 bihexany]] — ''recommended''
* [[1-5-15-17 by 6/5 bihexany]] — ''recommended''
* [[1-5-15-17 by 16/11 bihexany]] — ''recommended''
* [[1-7-9-17 by 4/3 bihexany]] — ''recommended''
* [[1-7-9-17 by 24/17 bihexany]] — ''recommended''
* [[1-9-11-17 by 3/2 bihexany]] — ''recommended''
* [[1-9-11-17 by 24/17 bihexany]] — ''recommended but spicy''
* [[3-5-7-15 by 17/14 bihexany]]
* [[3-5-7-15 by 17/14 bihexany]]
* [[3-5-11-13 by 24/17 bihexany]]
* [[3-5-11-13 by 24/17 bihexany]]
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* [[Bihexanymyna]]
* [[Bihexanymyna]]
* [[GW Smith bihexany 14 Feb 2011]]
* [[GW Smith bihexany 14 Feb 2011]]
==== 1-3-5-9 variations ====
* [[1-3-5-9 by 4/3 bihexany]]
* [[1-3-5-9 by 6/5 bihexany]]
* [[1-3-5-9 by 8/5 bihexany]]
* [[1-3-5-9 by 10/9 bihexany]]
* [[1-3-5-9 by 13/10 bihexany]]
* [[1-3-5-9 by 16/9 bihexany]]
* [[1-3-5-9 by 16/15 bihexany]]
* [[1-3-5-9 by 25/18 bihexany]]
* [[1-3-5-9 by 27/20 bihexany]]
* [[1-3-5-9 by 32/27 bihexany]]
* [[1-3-5-9 by 11/9 bihexany]]


== Duohexanies (12-tone) ==
== Duohexanies (12-tone) ==
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* [[1-5-7-11 stellated hexany]] — ''recommended''
* [[1-5-7-11 stellated hexany]] — ''recommended''
* [[1-5-7-13 stellated hexany]]
* [[1-5-7-13 stellated hexany]]
* [[1-5-7-17 stellated hexany]]
* [[1-5-11-13 stellated hexany]]
* [[1-5-11-13 stellated hexany]]
* [[1-5-11-17 stellated hexany]] — ''recommended''
* [[1-5-13-17 stellated hexany]]
* [[1-7-11-13 stellated hexany]] — ''recommended''
* [[1-7-11-13 stellated hexany]] — ''recommended''
* [[1-7-11-17 stellated hexany]]
* [[1-7-13-17 stellated hexany]]


=== In no-5s subgroups ===
=== In no-5s subgroups ===
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* [[1-3-9-11 stellated hexany]]
* [[1-3-9-11 stellated hexany]]
* [[1-3-9-13 stellated hexany]] — ''recommended''
* [[1-3-9-13 stellated hexany]] — ''recommended''
* [[1-3-9-17 stellated hexany]]
* [[1-3-11-13 stellated hexany]] — ''recommended''
* [[1-3-11-13 stellated hexany]] — ''recommended''
* [[1-3-11-17 stellated hexany]]
* [[1-3-13-17 stellated hexany]]
* [[1-3-21-49 stellated hexany]] - ''recommended, bendy microtones''
* [[1-7-9-11 stellated hexany]]
* [[1-7-9-11 stellated hexany]]
* [[1-7-9-13 stellated hexany]]
* [[1-7-9-13 stellated hexany]]
* [[1-7-9-17 stellated hexany]]
* [[1-9-11-17 stellated hexany]]
* [[1-9-13-17 stellated hexany]]
* [[3-7-9-11 stellated hexany]] — ''recommended''
* [[3-7-9-11 stellated hexany]] — ''recommended''
* [[3-7-9-13 stellated hexany]] — ''recommended, but with 2 notes removed - read article''
* [[3-7-9-13 stellated hexany]] — ''recommended, but with 2 notes removed - read article''
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* [[1-3-11-15 stellated hexany]]
* [[1-3-11-15 stellated hexany]]
* [[1-3-13-15 stellated hexany]] — ''recommended but spicy''
* [[1-3-13-15 stellated hexany]] — ''recommended but spicy''
* [[1-3-15-17 stellated hexany]]
* [[1-5-9-11 stellated hexany]]
* [[1-5-9-11 stellated hexany]]
* [[1-5-9-13 stellated hexany]]
* [[1-5-9-13 stellated hexany]]
* [[1-5-9-15 stellated hexany]]
* [[1-5-9-15 stellated hexany]]
* [[1-5-9-17 stellated hexany]]
* [[1-5-11-15 stellated hexany]]
* [[1-5-11-15 stellated hexany]]
* [[1-5-13-15 stellated hexany]]
* [[1-5-13-15 stellated hexany]]
* [[1-5-15-17 stellated hexany]]
* [[1-11-13-15 stellated hexany]]  — ''recommended''
* [[1-11-13-15 stellated hexany]]  — ''recommended''
* [[1-15-45-75 stellated hexany]] — ''recommended''
* [[1-15-45-75 stellated hexany]] — ''recommended''
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* [[1-7-9-15 stellated hexany]]
* [[1-7-9-15 stellated hexany]]
* [[1-7-13-15 stellated hexany]]
* [[1-7-13-15 stellated hexany]]
* [[1-7-15-17 stellated hexany]]
* [[3-5-7-9 stellated hexany]] — ''recommended with 2 notes removed - read article''
* [[3-5-7-9 stellated hexany]] — ''recommended with 2 notes removed - read article''
* [[3-5-7-13 stellated hexany]] — ''recommended''
* [[3-5-7-13 stellated hexany]] — ''recommended''
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== Other ==
== Other ==
=== Larger scales ===
* [[1-3-5-7-9-11-13-15 hexapenindasany]]
* [[1-3-5-7-9-11-13-15 octaeikosany]]
* [[1-3-5-7-9-11-13-15 evdomindasany]]


=== Enaeikosanies (21-tone) ===
=== Enaeikosanies (21-tone) ===
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* [[1-5-7-9-11-13-15 pentatriandekany]]
* [[1-5-7-9-11-13-15 pentatriandekany]]
* [[3-5-7-9-11-13-15 pentatriandekany]]
* [[3-5-7-9-11-13-15 pentatriandekany]]
=== Larger scales ===
* [[1-3-5-7-9-11-13-15 hexapenindasany]]
* [[1-3-5-7-9-11-13-15 octaeikosany]]
* [[1-3-5-7-9-11-13-15 evdomindasany]]


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