We study the relation between Mostafazadeh's approach on a superposition of parabosons and parafermions of the same order p = 2 and the superposition of the two well-known relative sets. Then, a simultaneous study of the operators belonging to these different relative sets is allowed in the same superstructure. As the above considerations lead to explicitly time-independent operators only, we also put in evidence the superalgebra sl(2/2; ) associated with the general case when all the operators of the two relative sets are included.

Supplementary finite-dimensional irreducible representations of the dynamical algebra subtending the two-body Calogero model are constructed by pointing out the corresponding differential realizations.