A position measuring device for determining a position of a first object relative to a second object movable in a moving direction (B) with respect to the first object , comprising: - a measuring scale connected to the first object , the dimensional scale being configured such that first and second signal-modulating elements are arranged on the dimensional scale adjacent to each other, each of the first and second elements having a respective orientation (AR) and the first elements vary in width (Br1) along their orientation (AR) such that a ratio of a width (Br1, Br2) between the width of each of the first element and the second element varies along the orientation (AR) of the first and second element , respectively, - a receiving unit (E) connected to the second object and adapted to generate a first and a second sine signal (A1, A2) and a first and a second cosine signal (B1, B2), and - an evaluation unit for evaluating the signals of the receiving unit (E), characterized in that the evaluation unit is designed: to perform a first difference formation from the first sine signal and the first cosine signal to obtain a first difference signal (Δ1) and to perform a second difference formation from the second sine signal and the second cosine signal to obtain a second difference signal (Δ2), to perform a summation and/or a third difference formation (Δ1+Δ2, Δ1-Δ2) from the first and second difference signals (Δ1, Δ2), and to compare results of the summation and/or the third difference formation (Δ1+Δ2, Δ1-Δ2) with each other in order to determine a change of a duty cycle resulting due to the changing ratio of the width (Br1, Br2) and to derive a position signal dependent on the change of the duty cycle. - a measuring scale connected to the first object , the dimensional scale being configured such that first and second signal-modulating elements are arranged on the dimensional scale adjacent to each other, each of the first and second elements having a respective orientation (AR) and the first elements vary in width (Br1) along their orientation (AR) such that a ratio of a width (Br1, Br2) between the width of each of the first element and the second element varies along the orientation (AR) of the first and second element , respectively, - a receiving unit (E) connected to the second object and adapted to generate a first and a second sine signal (A1, A2) and a first and a second cosine signal (B1, B2), and - an evaluation unit for evaluating the signals of the receiving unit (E), characterized in that the evaluation unit is designed: to perform a first difference formation from the first sine signal and the first cosine signal to obtain a first difference signal (Δ1) and to perform a second difference formation from the second sine signal and the second cosine signal to obtain a second difference signal (Δ2), to perform a summation and/or a third difference formation (Δ1+Δ2, Δ1-Δ2) from the first and second difference signals (Δ1, Δ2), and to compare results of the summation and/or the third difference formation (Δ1+Δ2, Δ1-Δ2) with each other in order to determine a change of a duty cycle resulting due to the changing ratio of the width (Br1, Br2) and to derive a position signal dependent on the change of the duty cycle. to perform a first difference formation from the first sine signal and the first cosine signal to obtain a first difference signal (Δ1) and to perform a second difference formation from the second sine signal and the second cosine signal to obtain a second difference signal (Δ2), to perform a summation and/or a third difference formation (Δ1+Δ2, Δ1-Δ2) from the first and second difference signals (Δ1, Δ2), and to compare results of the summation and/or the third difference formation (Δ1+Δ2, Δ1-Δ2) with each other in order to determine a change of a duty cycle resulting due to the changing ratio of the width (Br1, Br2) and to derive a position signal dependent on the change of the duty cycle. <EOS>