Matches in DBpedia 2015-10 for { ?s ?p "In music, a cyclic set is a set, "whose alternate elements unfold complementary cycles of a single interval." Those cycles are ascending and descending, being related by inversion since complementary:In the above example, as explained, one interval (7) and its complement (-7 = +5), creates two series of pitches starting from the same note (8):P7: 8 +7= 3 +7= 10 +7= 5...1 +7= 8I5: 8 +5= 1 +5= 6 +5= 11...3 +5= 8According to George Perle, "a Klumpenhouwer network is a chord analyzed in terms of its dyadic sums and differences," and, "this kind of analysis of triadic combinations was implicit in," his, "concept of the cyclic set from the beginning".A cognate set is a set created from joining two sets related through inversion such that they share a single series of dyads. "@en }
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- Cyclic_set comment "In music, a cyclic set is a set, "whose alternate elements unfold complementary cycles of a single interval." Those cycles are ascending and descending, being related by inversion since complementary:In the above example, as explained, one interval (7) and its complement (-7 = +5), creates two series of pitches starting from the same note (8):P7: 8 +7= 3 +7= 10 +7= 5...1 +7= 8I5: 8 +5= 1 +5= 6 +5= 11...3 +5= 8According to George Perle, "a Klumpenhouwer network is a chord analyzed in terms of its dyadic sums and differences," and, "this kind of analysis of triadic combinations was implicit in," his, "concept of the cyclic set from the beginning".A cognate set is a set created from joining two sets related through inversion such that they share a single series of dyads. ".