What does combinatoriality mean?
Definitions for combinatoriality
com·bi·na·to·ri·al·i·ty
This dictionary definitions page includes all the possible meanings, example usage and translations of the word combinatoriality.
Wiktionary
combinatorialitynoun
A quality shared by some twelve-tone tone rows by which the row and one of its transformations combine to form a pair of aggregates.
Wikidata
Combinatoriality
In music using the twelve tone technique combinatoriality is a quality shared by some twelve-tone tone rows whereby the row and one of its transformations combine to form a pair of aggregates. Arnold Schoenberg, creator of the twelve-tone technique, often combined P-0/I-5 to create, "two aggregates, between the first hexachords of each, and the second hexachords of each, respectively." Combinatoriality is a side effect of derived rows where combining different segments or sets such that the pitch-class content of the result fulfills certain criteria, usually the combination of hexachords which complete the full chromatic. Combinatorial properties are not dependent on the order of the notes within a set, but only on the content of the set, and combinatoriality may exist among tetrachordal and trichordal sets, as well as between pairs of hexachords. It may also be applied to dyads. A complement is in this context half of a combinatorial pitch class set and most generally a complement is the "other half" of any pair including pitch class sets, textures, or pitch range. Most generally complementation is the separation of pitch-class collections into two complementary sets, one containing the pitch classes not in the other. More restrictively complementation is "the process of pairing entities on either side of a center of symmetry".
Numerology
Chaldean Numerology
The numerical value of combinatoriality in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of combinatoriality in Pythagorean Numerology is: 6
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"combinatoriality." Definitions.net. STANDS4 LLC, 2024. Web. 17 Nov. 2024. <https://www.definitions.net/definition/combinatoriality>.
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