A medical balloon includes a generally cylindrical barrel wall having proximal and distal ends disposed between tapered cone walls and neck walls with a fiber layer comprised of circumferentially wrapped ribbon-shaped fiber embedded in a continuous matrix of polymer material defining the tapered cone walls and barrel wall, wherein the distance between the fiber wraps defines a fiber pitch or density that varies over the working length of the barrel wall in non-linear increments, for example in step-wise increments over the length of the barrel wall.