Pentadekany: Difference between revisions
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A '''pentadekany''' is a 15-note [[scale]] built using all the possible combinations of either 2 or 4 [[interval]]s (but not a mix of both) from a given set of 6 intervals. It is a particular case of a [[combination product set]] (CPS). | A '''pentadekany''' is a 15-note [[scale]] built using all the possible combinations of either 2 or 4 [[interval]]s (but not a mix of both) from a given set of 6 intervals. Pentadekanies may be [[chiral]], and the choice of whether to take combinations of 2 or 4 elements is equivalent to choosing the chirality. It is a particular case of a [[combination product set]] (CPS). | ||
In this article, ''2-combination pentadekany'' refers to a 2)6 CPS and ''4-combination pentadekany'' refers to a 4)6 CPS; Erv Wilson did not necessarily use these terms. | In this article, ''2-combination pentadekany'' refers to a 2)6 CPS and ''4-combination pentadekany'' refers to a 4)6 CPS; Erv Wilson did not necessarily use these terms. | ||
{{todo|inline=1|add examples|text=See [[Hexany]] and [[Dekany]] for what that should look like.}} | |||
{{todo|inline=1|expand}} | |||
[[Category:Pentadekanies| ]] <!-- main article --> | [[Category:Pentadekanies| ]] <!-- main article --> | ||
[[Category:Combination product sets]] | [[Category:Combination product sets]] | ||
[[Category:15-tone scales]] | [[Category:15-tone scales]] | ||
Latest revision as of 07:05, 21 December 2024
A pentadekany is a 15-note scale built using all the possible combinations of either 2 or 4 intervals (but not a mix of both) from a given set of 6 intervals. Pentadekanies may be chiral, and the choice of whether to take combinations of 2 or 4 elements is equivalent to choosing the chirality. It is a particular case of a combination product set (CPS).
In this article, 2-combination pentadekany refers to a 2)6 CPS and 4-combination pentadekany refers to a 4)6 CPS; Erv Wilson did not necessarily use these terms.
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