The dependence of an eigenvalue hadron mass $m$ on a constituent quark or antiquark mass $M_{\mathrm{}\left(s\right)\mathrm{}}$ must be such that $\left|\frac{\partial m}{\partial M_{\mathrm{}\left(s\right)\mathrm{}}}\right|<\mathrm{}1\mathrm{}$ if the dynamics of a system composed of $n^{\prime }$ quarks and ($n-n^{\prime }$) antiquarks is described by an $n$-particle Dirac Hamiltonian. By evoking the quasi-independent quark-model approximation, we obtain $\frac{\partial m_N}{\partial M}\simeq 2.378$ for the rate at which the nucleon mass would change theoretically subject to a simultaneous increase in the three constituent strangeness-zero quark masses $M$. In the case of a potential with Coulomb-Schwinger homogeneity under scale transformations, we find a linear mass relation without appeal to the quasi-independent quark-model approximation. The latter mass relation yields correct mass values for the parallel-spin hadrons with $L=0\mathrm{}$ (the $J^P=1^{-}$ mesons and $J^P={\frac{3}{2}}^{+}$ baryons) and exhibits consistency in the $\mathrm{}\left|S\right|=1\mathrm{}$ quark-antiquark mass $M^{\prime }$ to $S=0\mathrm{}$ quark-antiquark mass $M$ ratio: $\frac{M^{\prime }}{M}=1.345\mathrm{}\pm \mathrm{}\left(0.005\right)\mathrm{}$.

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