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. | 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. | ||
Revision as of 06:08, 13 September 2021
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.