Radial tire with triangulated crown reinforcement

A tire comprising a radial carcass reinforcement (1) surmounted by a crown reinforcement (2) formed, in direction radially from the inside to the outside, of at least one triangulation ply (20) of non-stretchable metal wires or cables which form an angle .alpha. of between 60.degree. and 90.degree. with the circumferential direction and of two working plies (21 and 22) formed of non-stretchable metal wires or cables crossed from one ply to the next and forming an angle .beta., .gamma. of between 10.degree. and 45.degree. with the circumferential direction, characterized by the fact that the first working ply (21) which is radially adjacent on the outside of the radially outermost triangulation ply (20) has a width L.sub.1 less than the width L.sub.0 of said triangulation ply (20), the second working ply (22), which is radially above the first (21), having an axial width L.sub.2 greater than the width L.sub.0 of the triangulation ply (20), and the edges of said second working ply (22) covering the edges of said triangulation ply (20) so that the radial distances between the respective wires or cables of the two plies at the level of said edges are at most equal to 1.5 mm over an axial distance l at least equal to 2% of the axial width Lo of the triangulation ply (20).