Using the new method of imposing semi-local duality constraints recently proposed by Hoyer and Uschersohn, we present a duality between the quark-orbital traJectories. Its constraints for meson-meson and meson-baryon scattering are tested and found to be consistent with experiments. It is especially remarked that the scalar mesons are successfully accommodated to the duality scheme, and both of the meson-meson and meson-baryon scattering are understandable in the common way. This gives a support for the supposition that the dynamics of hadrons is governed essentially by the quark-orbital trajectory, made by Bando et al. and Nakkagawa et al.