Abstract: A tape rule or other displacement measuring apparatus comprises a reader means and a member that are relatively movable. The member carries a position track defined by a sequence of alternative markings made in succession along the member. The alternative markings record different values in a pseudo-random sequence which is the result of repetitive operations on a seed consisting of a small number of elements. The sequence has the property that a group of successive markings of length at least equal to that of the seed occurs at a single position in the sequence so that a succession of markings read from the track and of length at least equal to the seed defines an absolute position of the reading means and the member.