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- Cyclic_set abstract "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. 0 7 2 9 4 11 6 1 8 3 10 5 (0+ 0 5 10 3 8 1 6 11 4 9 2 7 (0________________________________________= 0 0 0 0 0 0 0 0 0 0 0 0 (0The two cycles may also be aligned as pairs of sum 7 or sum 5 dyads. All together these pairs of cycles form a set complex, "any cyclic set of the set complex may be uniquely identified by its two adjacency sums," and as such the example above shows p0p7 and i5i0.".
- Cyclic_set thumbnail Bergs_Lyric_Suite_cyclic_set.pngwidth=300.
- Cyclic_set wikiPageID "26171594".
- Cyclic_set wikiPageLength "2661".
- Cyclic_set wikiPageOutDegree "19".
- Cyclic_set wikiPageRevisionID "622146011".
- Cyclic_set wikiPageWikiLink Category:Intervals_(music).
- Cyclic_set wikiPageWikiLink Category:Post-tonal_music_theory.
- Cyclic_set wikiPageWikiLink Chord_(music).
- Cyclic_set wikiPageWikiLink Complement_(music).
- Cyclic_set wikiPageWikiLink Dyad_(music).
- Cyclic_set wikiPageWikiLink George_Perle.
- Cyclic_set wikiPageWikiLink Interval_(music).
- Cyclic_set wikiPageWikiLink Interval_cycle.
- Cyclic_set wikiPageWikiLink Inversion_(music).
- Cyclic_set wikiPageWikiLink Klumpenhouwer_network.
- Cyclic_set wikiPageWikiLink Music.
- Cyclic_set wikiPageWikiLink Musical_analysis.
- Cyclic_set wikiPageWikiLink Set_(music).
- Cyclic_set wikiPageWikiLink Triad_(music).
- Cyclic_set wikiPageWikiLink File:Bergs_Lyric_Suite_cyclic_set.png.
- Cyclic_set wikiPageWikiLink File:Bergs_Lyric_Suite_cyclic_set_overlapping_three-note_segments.png.
- Cyclic_set wikiPageWikiLink File:Cognate_set_on_C.png.
- Cyclic_set wikiPageWikiLinkText "Cyclic set".
- Cyclic_set wikiPageWikiLinkText "cyclic set".
- Cyclic_set hasPhotoCollection Cyclic_set.
- Cyclic_set wikiPageUsesTemplate Template:Atonality.
- Cyclic_set wikiPageUsesTemplate Template:For.
- Cyclic_set wikiPageUsesTemplate Template:Reflist.
- Cyclic_set subject Category:Intervals_(music).
- Cyclic_set subject Category:Post-tonal_music_theory.
- 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. ".
- Cyclic_set label "Cyclic set".
- Cyclic_set sameAs m.0b6j88k.
- Cyclic_set sameAs Q5198230.
- Cyclic_set sameAs Q5198230.
- Cyclic_set wasDerivedFrom Cyclic_set?oldid=622146011.
- Cyclic_set depiction Bergs_Lyric_Suite_cyclic_set.png.
- Cyclic_set isPrimaryTopicOf Cyclic_set.