BasisTakts
BasisTakts is a theoretical framework and practical toolkit for representing and manipulating rhythmic structure in digital music systems. It treats rhythms as linear combinations of elementary rhythmic units, called basis takts, enabling compact representation, analysis, and synthesis of complex patterns. The approach combines ideas from linear algebra with tempo- and takt-based timing to produce tempo-normalized representations that can be mapped across meters and tempi.
Origin and motivation: BasisTakts emerged from work on rhythm representation for algorithmic composition and music-information retrieval.
Core concepts: A basis takt is an elementary rhythmic unit aligned to a tempo grid. A rhythm
Technical implementation: Common implementations use matrix factorization or sparse coding to fit a target rhythm as
Applications and variants: BasisTakts supports rhythm analysis, similarity search in large music corpora, adaptive scoring for
See also: Rhythm analysis, beat tracking, basis functions, rhythm decomposition, tempo normalization.