Dekany: Difference between revisions
m Removed external links (that were copied from Hexany) |
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A '''dekany''' is a 10-note scale built using all the possible combinations of either 2 or 3 | A '''dekany''' is a 10-note [[scale]] built using all the possible combinations of either 2 or 3 [[interval]]s (but not a mix of both) from a given set of 5 intervals. It is a particular case of a [[combination product set]] (CPS). | ||
In this article, ''2-combination dekany'' refers to a 2)5 CPS and ''3-combination dekany'' refers to a 3)5 CPS; Erv Wilson did not necessarily use these terms. | In this article, ''2-combination dekany'' refers to a 2)5 CPS and ''3-combination dekany'' refers to a 3)5 CPS; Erv Wilson did not necessarily use these terms. | ||
== | == Construction == | ||
=== 2-combination dekany === | === 2-combination dekany === | ||
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# Sort the elements in ascending order:<br>{1/1, 11/10, 7/6, 77/60, 11/8, 7/5, 77/48, 7/4, 11/6, 77/40}; | # Sort the elements in ascending order:<br>{1/1, 11/10, 7/6, 77/60, 11/8, 7/5, 77/48, 7/4, 11/6, 77/40}; | ||
# Replace the unison (1/1) by the octave ([[2/1]]) for a Scala-compatible octave-repeating scale:<br>{11/10, 7/6, 77/60, 11/8, 7/5, 77/48, 7/4, 11/6, 77/40, 2/1}. | # Replace the unison (1/1) by the octave ([[2/1]]) for a Scala-compatible octave-repeating scale:<br>{11/10, 7/6, 77/60, 11/8, 7/5, 77/48, 7/4, 11/6, 77/40, 2/1}. | ||
== See also == | |||
* [[Gallery of combination product sets#Dekanies]] | |||
[[Category:Dekanies| ]] <!-- main article --> | [[Category:Dekanies| ]] <!-- main article --> | ||
{{todo|expand|add illustration|improve synopsis}} | |||