This paper continues and terminates the sequence of the preceding papers [1][2][3][4] about sound fields in wedge-shaped spaces, and especially resumes the topic of reference [4] which deals with the scattering of sound at building corners and an absorbing cylinder which surrounds the corner. The corner flanks in [4] were supposed to be rigid, so the sound field could be synthesized with ideal wedge modes. The present paper continues the task of reference [4], but now the corner flanks are absorbing. A model of the arrangement is applied which uses a special case of the modal analysis in reference [1]. The field space is subdivided into ring-shaped zones with radii r i , and the wall admittance G i of the absorbing flank in each zone is supposed to be inversely proportional to the radius, G i (r) 0 1/r, so that the average value of the model admittance in a zone G i (r) equals the admittance G of the flank. An admittance function G i (r) 0 1/r is associated with wedge modes of a simple form. The model with the ''stepping admittance flank'' is an approximate to the corner with constant admittance if the number of ring-shaped zones is high enough, so that the variation of G i (r) in the zones remains restricted. The absorbing cylinder around the corner is used here for two reasons: first, the stepping admittance model is singular at the corner, which is excluded by the cylinder, second: it shall be investigated how an absorbing flank will influence the potential of the cylinder to improve the corner shielding which was demonstrated in reference [4] for rigid corner flanks.