The $(6,6^{*})\oplus (6^{*},6)$ representation of $\mathrm{SU}\mathrm{}\left(3\right)\mathrm{}\otimes \mathrm{SU}\mathrm{}\left(3\right)\mathrm{}$ is presented and its use in breaking chiral symmetry is discussed in terms of its contribution to meson masses, pion-pion scattering lengths, baryon masses, and the nucleon $\sigma$ term. We include singlet, octet, and 27-plet SU(3) pieces in the symmetry-breaking Hamiltonian, and also discuss the possible $\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}\otimes \mathrm{SU}\mathrm{}\left(2\right)\mathrm{}$ classifications of the Hamiltonian.

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