You use a 60deg cutter. I don't understand the too wide statement? The cutter is only fed in a limited amount to form the thread. If you are referring to the point of the cutter, most of us doing single point threading use a sharp point. If you were to try to cut the standard form, the point would be blunted and only able to cut a limited number of pitches. There are carbide thread inserts that will cut standard thread form. They are offered in shapes that can cut multiple threads pitches, or just one. You could grind a tool to cut another form than the standard with a different angle, but they would not work standard hardware.