We determine the isometric congruence classes of homogeneous
Riemannian foliations of codimension one on connected irreducible
Riemannian symmetric spaces of noncompact type. As an application we
show that on each connected irreducible Riemannian symmetric space of
noncompact type and rank greater than two there exist noncongruent
homogeneous isoparametric systems with the same principal curvatures,
counted with multiplicities.