Hexany: Difference between revisions

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A '''hexany''' is a 6-note [[scale]] built using all the possible combinations of 2 [[interval]]s from a given set of 4 intervals. It is the simplest non-trivial case of a [[combination product set]].
A '''hexany''' is a 6-note [[scale]] built using all the possible combinations of 2 [[interval]]s from a given set of 4 intervals. It is the simplest non-trivial case of a [[combination product set]].


A '''stellated hexany''' is a 14-tone scale and is called both a '''mandala''' and a '''dekatesserany'''.
A '''stellated hexany''' is a 14-tone scale and is also called a '''dekatesserany'''.


== Example ==
== Example ==
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* [http://anaphoria.com/grady1-1.pdf ''Ervin Wilson's Hexany''] by Kraig Grady
* [http://anaphoria.com/grady1-1.pdf ''Ervin Wilson's Hexany''] by Kraig Grady
* [https://www.youtube.com/watch?v=-GeR8XbFxvI The Tonality Cube] Demonstration video by 12tone music.  
* [https://www.youtube.com/watch?v=-GeR8XbFxvI The Tonality Cube] Demonstration video by 12tone music.  
* [[Paul Erlich]]. [https://sethares.engr.wisc.edu/paperspdf/Erlich-Forms.pdf The Forms of Tonality].
{{todo|add examples|add illustration|expand}}
{{todo|add examples|add illustration|expand}}


[[Category:Hexanies| ]] <!-- main article -->
[[Category:Hexanies| ]] <!-- main article -->
[[Category:6-tone scales]]
[[Category:6-tone scales]]