  The graviton soft wall model (GSW) provides a unified description of the
scalar glueball and meson spectra with a unique energy scale. This success has
led us to extend the analysis to the description of the spectra of other
hadrons. We use this model to calculate masses of the odd and even ground
states of glueballs for various spins, and show that the GSW model is able to
reproduce the Regge trajectory of these systems. In addition, the spectra of
the $\rho$, $a_1$ and the $\eta$ mesons will be addressed. Results are in
excellent agreement with current experimental data. Furthermore such an
achievement is obtained without any additional parameters. Indeed, the only two
parameters appearing in these spectra are those that were previously fixed by
the light scalar meson and glueball spectra. Finally, in order to describe the
$\pi$ meson spectrum, a suitable modification of the dilaton profile function
has been included in the analysisto properly take into account the Goldstone
realization of chiral symmetry. The present investigation confirms that the GSW
model provides an excellent description of the spectra of mesons and glueballs
with only a small number of parameters { unveiling a relevant predicting power.
