A magnetic sensing circuit includes a circuit portion including: a main half-bridge including series-connected main tunnel magnetoresistive sensor elements TMR1 and TMR2; a first auxiliary half-bridge connected in parallel to the main half-bridge and including series-connected auxiliary tunnel magnetoresistive sensor elements TMR3 and TMR4 with an output voltage emerging from the connection between TMR1 and TMR3 and between TMR2 and TMR4; wherein a reference magnetization of the magnetoresistive sensor element TMR1 and TMR3 are respectively oriented substantially antiparallel with respect to a reference magnetization of the magnetoresistive sensor element TMR2 and TMR4; and wherein said first auxiliary half-bridge has a sensing axis that differs from the sensing axis of the main half bridge by an angle of about 180°/n, where n is the harmonic number to be canceled. The magnetic sensing circuit allows for sensing of external magnetic fields having high magnitude, with reduced angular error.