  We study, through new recurrence relations for certain binomial coefficients
modulo a power of a prime, the evolution of the primitives of a modular
periodic sequence. We prove that we can reduce to study primitives of constant
sequences and that the latter are controlled by modular binomial coefficients.
Finally we apply our results to describe the dynamics of the primitives of the
sequence considered by the Romanian composer Vieru in his "Book of Modes".
