A horological device of small dimensions, including a first wheel and a second wheel which are coaxial, rotatably mounted about a same geometrical axis of rotation and respectively including a first plate and a second plate perpendicular to said geometrical axis of rotation, this device further including means for detecting the angular positions of a first reference geometrical semi-axis of said first wheel, and a second reference geometrical semi-axis of said second wheel, wherein said means for detecting the angular positions of said first and second semi-axes are formed by a single inductive sensor provided with an element for detecting the presence of at least one active material above or below said element, said first plate including at least one first inactive region for said sensor, said first and second plates being formed at least partially of said at least one active material for said sensor, said sensor being arranged relative to said first wheel so that its detection element is at least in part above or below said first inactive region in at least one determined angular position of said first wheel.