Cyclic set

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= 8 A cognate set is a set created from joining two sets related through inversion such that they share a single series of dyads.

Cyclic set

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= 8 A cognate set is a set created from joining two sets related through inversion such that they share a single series of dyads.