The bi-orthogonal edge wavefront sensor (WFS) is, to our knowledge, a new wavefront sensor based on the Foucault knife-edge test. In this paper, we show by calculating sensitivity with the spatial frequency of Fourier modes that the bi-orthogonal edge WFS has higher photon and read noise sensitivity than the pyramid, roof, 3-sided, and cone WFS for both low-order (gradient) and high-order (Hilbert) modes.