Abstract: A saw chain for cutting aggregate material having cutting segments wherein diamonds are embedded in a matrix material, said cutting of an aggregate structure achieved by drawing the segment across the aggregate structure with the diamonds exposed so as to abrade away the aggregate material producing thereby a kerf. The diamonds initially being unexposed and requiring an initial abrasion of the matrix material surrounding the diamonds. The surface of the cutting head having a peak portion whereby minimal abrading of the matrix in the peak portion rapidly exposes diamonds to commence the abrasion of the aggregate.