The recent proposal of tilted perpendicular recording for Tb/in(2) densities is extended here to examine the effects of intergranular exchange and anisotropy distributions on signal-to-noise ratio. This new recording system includes the single pole head, the medium and the soft underlayer as in perpendicular recording, but the medium anisotropy axes are titled at about 45degrees, optimally in the crosstrack direction. Both analytical formulas and micromagnetic simulations are utilized and both tilted and conventional perpendicular media are considered. At 1.2 Tb/in(2) exchange optimization and suitable anisotropy distribution limits give percentage transition jitter of 10% and 30% for tilted and conventional perpendicular media, respectively.