The odd Poisson structure π π i j and Berezin volume density ρ ρ are said to be compatible if the modular vector field Δ Δ ρ ρ 2 vanishes. In that case the odd Laplacian Δ Δ ρ ρ is a BV Δ operator with normalization Δ(1)=0. The corresponding BV algebra is the algebra of functions.