![]() ![]() The rhythmic levels are hierarchical – there is a slow and metrically dominant level above this is a faster and weaker level that splits the previous level’s beats above this is an even faster and weaker level that splits the previous level’s beats and so on.Įvery level of a well-formed rhythm has two beat lengths: a long beat and a short beat. ![]() ![]() Well-formedness elegantly generalises three properties commonly found in real-world multilevel rhythms:Įach rhythmic level comprises only a small number of distinct beat lengths, often only one or two Įach level’s beats are fairly evenly spaced in time – there aren’t sudden clusters of events followed by long gaps and Two mathematical principles – well-formedness and perfect balance – allow us to easily navigate two distinct rhythmic sub-spaces that are of musical interest, but hard to explore with traditional computational tools or notation. There are more than 17 trillion different rhythms, and that is only counting rhythms with three levels where every beat occurs at one of 16 distinct time locations (16 being a very common temporal subdivision in music).īut, realistically, only a small proportion of these are of musical interest. Andrew Milne, Author provided But which polygons? Clave (red) + Conga (blue) rhythm as polygons. ![]()
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