  We analyze the recently proposed Spectral Quark Model in the light of Chiral
Perturbation Theory in curved space-time. In particular, we calculate the
chiral coefficients $L_1, ..., L_{10}$, as well as the coefficients $L_{11}$,
$L_{12}$, and $L_{13}$, appearing when the model is coupled to gravity. The
analysis is carried for the SU(3) case. We analyze the pattern of chiral
symmetry breaking as well as elaborate on the fulfillment of anomalies.
Matching the model results to resonance meson exchange yields the relation
between the masses of the scalar, tensor and vector mesons,
$M_{f_0}=M_{f_2}=\sqrt{2} M_V= 4 \sqrt{3 /N_c} \pi f_\pi$. Finally, the
large-$N_c$ limit suggests the dual relations in the vector and scalar
channels, $M_V=M_S= 2 \sqrt{6 /N_c} \pi f_\pi $ and $<r^2 >^{1/2}_S = < r^2
>^{1/2}_V = 2 \sqrt{N_c} / f_\pi = 0.59 {\rm fm} $.
