The various embodiments of the invention are directed to safety razor heads (120) having intrinsically fenced cutting blades (136, 138) oriented at a high slicing angle to the shaving direction. The razor comprises a plurality of short cutting edges (4) in a spaced relationship across the width of the cutting zone, bounded by leading (112) and trailing guards (104), and oriented at an angle greater than 30 degrees, resulting in enhanced cutting action, improved lubricant and debris flow, and longer life of the cutting edges. Lateral skin tensioning is achieved in one embodiment by the spreading action of left and right oriented cutting edges.