  After presenting the general framework of 'mathemusical' dynamics, we focus
on one music-theoretical problem concerning a special case of homometry theory
applied to music composition, namely Milton Babbitt's hexachordal theorem. We
briefly discuss some historical aspects of homometric structures and their
ramifications in crystallography, spectral analysis and music composition via
the construction of rhythmic canons tiling the integer line. We then present
the probabilistic generalization of Babbitt's result we recently introduced in
a paper entitled ''New hexachordal theorems in metric spaces with probability
measure'' and illustrate the new approach with original constructions and
examples.
