The irreducible components of the ${\frac{1}{2}}^{+}$ baryon mass matrix and the $0^{-}$ meson mass-squared matrix are calculated and compared with the Li-Pagels relations. The Li-Pagels relations predict correctly orders of magnitude, but one sign is wrong and most of the relations are off by non-negligible factors. An exception is the relation $\frac{(m_p-m_n)+2(m_{{\Sigma }^{+}}-m_{{\Sigma }^{-}})+(m_{{\Xi }^0}-m_{{\Xi }^{-}})}{m_{\Xi }-m_N}=-\frac{3(m_{K^{+}}^{}{}_{}{}^2-m_{K^0}^{}{}_{}{}^2)+2\mathrm{}\sqrt{3}(m_{\eta }^{}{}_{}{}^2-m_{{\pi }^0})sin\beta cos\beta }{2m_K^{}{}_{}{}^2+m_{\eta }^{}{}_{}{}^2-3\mathrm{}m_{\pi }^{}{}_{}{}^2}$ which is satisfied quite well. The angle $\beta$ is the $\eta -{\pi }^0$ mixing angle.

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