A binder composition for making a bluestone-like building material, wherein the aggregate is prepared by crushing rock and the binder uses water and cement. The composition is characterised in that the binder includes particles of the crushed rock used to produce the aggregate and in that the binder uses a cement comprising: clinkers particularly consisting of quicklime, silica, alumina, iron oxide and magnesia and forming 36-57 % of the mass of the cement; a slurry particularly consisting of quicklime, silica and alumina and forming 15-27 % of the mass of the cement; pozzuolanas made from a sedimentary silica-alumina-lime rock and forming 25-36 % of the mass of the cement; and fly ash (fillers) forming 0.1-5 % of the mass of the cement.