Definition of 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= 8
Related terms
Incomposite interval
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Interval cycle
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Closely related key
In music, a closely related key (or close key) is one sharing many common tones with an…
Minor third
In music theory, a minor third is a musical interval that encompasses three half steps…
Mediant
In music, the mediant (Latin: "being in the middle") is the third scale degree of a…
Interval (music)
In music theory, an interval is a difference in pitch between two sounds. An interval…
Euler–Fokker genus
In music theory and tuning, an Euler–Fokker genus (plural: genera), named after Leonhard…
Interval ratio
In music, an interval ratio is a ratio of the frequencies of the pitches in a musical…
Major seventh
In music from Western culture, a seventh is a musical interval encompassing seven staff…
Frequently asked questions
What is 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: