A new set of barotropic normal modes of the world ocean is computed with explicit consideration of dissipative terms and the full ocean loading and self-attraction effect (LSA). This set contains normal modes that did not appear in the spectra of previous studies. Furthermore, the expansion towards longer periods (165 hours) yields new global planetary modes. Altogether 169 normal modes are computed with periods longer than 7.7 hours. Of these, 72 are gravitational modes, 92 are topographically controlled vorticity modes, and 6 are planetary vorticity modes. The influence of the LSA is investigated for all three kinds of modes with respect to changes in the periods and in the spatial structure of the sea surface elevation and the horizontal mass transports. In particular for modes in the semi-diurnal and diurnal period range, the parameterization of the LSA is analyzed.