The structure of MosOt4 was solved previously in projection and found to be a 'tunnel structure', similar to those of M017047 and Wt8049, consisting of MoO6 octahedra and MoO7 pentagonal bipyramids. Crystals of this phase, stabilized by substitution of tantalum for 7 % of the molybdenum, have been studied by single-crystal diffractometry. A refinement of the (seemingly) tetragonal projection (a"__23 ,~) indicates that tantalum substitutes exclusively in the pentagonal bipyramids. Like the binary phase, these crystals exhibit a superstructure and concomitant twinning associated with off-centre displacements of the atoms (puckering) along the short c (~_ 4 A) axis. From an observed slight difference in the relative amounts of the two twin components in one crystal, it could be concluded that the symmetry of the superlattice is orthorhombic, with a = 2a" and b = a", and not tetragonal as suggested previously. The puckering scheme and the three-dimensional structure were determined by the use of partial Patterson functions calculated from the twin-free superlattice reflexions. The twinning and disorder are readily understood as results of the pronounced pseudosymmetry. The degree of twinning and the size of the coherently scattering regions seem related to the conditions of formation.