engineers have equipment that can measure the fineness of secondary & primary bevels to the hundred thousandths. however these machines are not usually affordable to most knifemakers & for fact are'nt even important to knife specifications. i believe the realm in which you are interested lies in the labatories that can weigh a pencil mark on paper or the dimensions of extremely small atoms or molecular particles. not trying to upset you but this fine measurement you desire to understand has no importance in most cutting tools.--cranky72