The Qp-scales were first introduced in  as interpolation spaces between the Bloch and Dirichlet spaces in the complex space. ... However, such treatment presents the disadvantage of only considering the Euclidean case. In order to obtain an approach to homogeneous hyperbolic manifolds, the projective model of Gel'fand was retaken in . With the help of a convenient fundamental solution for the hyperbolic (homogeneous of degree ®) D® (see ) it was introduced in  and  equivalent Qp scales for homogeneous hyperbolic spaces. In this talk we shall present and study some properties of this hyperbolic scale.