Rhythm Quantization

Rhythm trees associated to standard notation examples.

We represent rhythms as trees. Rhythm trees can be changed into other rhythm trees using rewriting rules. It makes it possible to define an equivalence relation between rythms. Some of the rewriting rules simplify the rhythms and are used to quantify them.

Examples of rythms with slurs and dots and their tree representation.
Rewrite sequence starting from the tree (d) of previous figure.