Range compensating scope with ballistic effect compensating reticle, aim compensation method and adaptive method for compensating for variations in ammunition or variations in atmospheric conditions

A range compensating scope with a ballistic effect compensating reticle and system to adjust the point of aim of a projectile firing weapon or instrument firing a projectile under varying atmospheric and wind conditions, comprising:

• a rifle scope assembly configured to be associated with a rifle or projectile firing weapon or instrument, the rifle scope assembly including a ballistics effect compensating reticle display field representing a corrected Effective Hold Point range to a selected target, the ballistics effect compensating reticle display field being viewable through the scope assembly and including a plurality of aiming points, the plurality of aiming points being positioned for proper aim at the corrected Effective Hold Point range and wind conditions and including at least a first array of windage aiming marks spaced apart along a non-horizontal axis, the first array of windage aiming marks defining a sloped row of windage aiming points having a slope which is a function of the direction and velocity of a stabilizing spin of the projectile or a rifling twist rate and direction of the projectile firing weapon or instrument, the windage aiming points being configured to compensate for crosswind jump.