Abstract: A rotary position sensor is provided that includes a sensing disc having an N-fold rotation symmetry and capacitive sensing pads arranged in an array pattern, where the array pattern has at least 4N-fold rotation symmetry, where N?2, a scale disc disposed opposite the sensing disc, where the scale disc includes a pattern of conductive pads that have a sinusoidal-shape, where the pattern of sinusoidal-shaped conductive pads produce four sinusoidal capacitance waveforms in quadrature phase with the capacitive sensing pads as the sensing disc and the scale disc are rotated relative to one another to provide angular position information. to provide angular position information. This is achieved by making the overlapping area of the of the capacitive sensing pads change in a sinusoidal fashion with rotation.