The invention relates to a pneumatic tire comprising a crown having at least one layer of reinforcing elements. The radially outermost layer includes at least one wave (512). The waves (512) of the radially outermost layer (5) are such that, for each meridian, radially inward from the center of the bottom surface (243) of the closest main groove (24), the points of the waves lie radially outside the points of said layer (5) by at least a radial distance of 1.5 mm. The waves (512) of the radially outermost crown layer constitute at least 10% of the radially outer surface (SRE) of said crown layer (5). A rubber compound having a maximum dynamic shear modulus G *, measured at 40°C at 10% peak-to-peak deformation at 10 Hz, of 3.25 MPa, constitutes at least 30% of the rubber compounds lying on top of said waves.