Method for detecting an absolute angular position or an absolute angular travel of a rotating member with respect to a reference member about an axis of rotation, using a measuring device comprising a multipole annular encoder comprising N pairs of poles that is fastened to the rotating member and a sensor that is fixed with respect to the reference member, each pair of poles comprising a pole of north type and a pole of south type, the N pairs of poles forming, over one revolution, an alternation of poles (241 to 248) of north type and of south type, the alternation of poles (241 to 248) not being distributed regularly around the axis of rotation, the method comprising a detection, by the sensor, of a sequence of successive transitions each characteristic of a passage of the poles (241 to 248) of the alternation of poles in front of the sensor, the method comprising the following operation: - for a plurality of transitions, each of which is referred to as a tested transition, and preferably for all the transitions of the sequence of successive transitions, determining at least one characteristic time of the tested transition, equal to the time separating the tested transition from another transition of the sequence of successive transitions, the other transition being immediately adjacent to the tested transition in the sequence of successive transitions or being separated from the tested transition by a predetermined number Q of successive transitions of the sequence of successive transitions, Q being comprised between 1 and 2N-2, characterized in that the method further comprises the following operations: - determining a plurality of moving complete rotation times each associated with one transition extracted from the sequence of successive transitions and each equal to the time separating the extracted transition from a preceding transition of order 2N of the sequence of successive transitions, and an estimated complete rotation time, which is dependent on one or more of the moving complete rotation times, - computing for each tested transition at least one characteristic angle of the tested transition, which angle is proportional to a ratio between the characteristic time of the tested transition and the estimated complete rotation time. - for a plurality of transitions, each of which is referred to as a tested transition, and preferably for all the transitions of the sequence of successive transitions, determining at least one characteristic time of the tested transition, equal to the time separating the tested transition from another transition of the sequence of successive transitions, the other transition being immediately adjacent to the tested transition in the sequence of successive transitions or being separated from the tested transition by a predetermined number Q of successive transitions of the sequence of successive transitions, Q being comprised between 1 and 2N-2, - determining a plurality of moving complete rotation times each associated with one transition extracted from the sequence of successive transitions and each equal to the time separating the extracted transition from a preceding transition of order 2N of the sequence of successive transitions, and an estimated complete rotation time, which is dependent on one or more of the moving complete rotation times, - computing for each tested transition at least one characteristic angle of the tested transition, which angle is proportional to a ratio between the characteristic time of the tested transition and the estimated complete rotation time.