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We continue the study of flavor aspects of strong interaction. The answer tothe question of glueball existence is probably a necessary step in thisinvestigation. The existence of the glueball implies the existence of thedecuplet. The model we consider requires that the mass of meson decupletdominated by the glueball is enclosed between the masses of the ideal nonet Nand S states.  This description is applied to the two sets of the tensor mesons. One of themcomprise the well known particles which are attributed to the widely knownnonet $2^{++}$. We argue that they belong to a decuplet if there exists theisoscalar tensor meson having the mass obeying the condition on glueballdominated meson; the meson $f_2(1430)$ could be a candidate. Another setincludes large number of mesons lying in the 2GeV region. This set is used totest ability of the model to select particles belonging to the decuplet.

Localization of the glueball and possible decuplets of tensor mesons