$\frac{E2\mathrm{}}{M1\mathrm{}}$ Multipole Mixing Ratios in the "Spherical" Nuclei ${\mathrm{Te}}^{124}$, ${\mathrm{Te}}^{126}$, and ${\mathrm{Xe}}^{126}$

$\frac{E2\mathrm{}}{M1\mathrm{}}$ mixing ratios of the 709-, 714-, and 723-keV transitions in ${\mathrm{Te}}^{124}$, the 754-keV transition in ${\mathrm{Te}}^{126}$, and the 491-keV transition in ${\mathrm{Xe}}^{126}$ were measured using the $\gamma -\gamma$ directional-correlation technique. In addition, the measurements on the 646-603-keV, 1691-603-keV, and 2091-603-keV $\gamma -\gamma$ cascades in ${\mathrm{Te}}^{124}$ are in agreement with pure $E2\mathrm{}$ character of the 1691- and 2091-keV transitions in ${\mathrm{Te}}^{124}$. Coaxial Ge(Li) and Na(Tl) scintillation detectors were used in different combinations depending on the energy resolution required for a particular measurement. The results for the mixing ratios are $\delta \mathrm{}\left(709\right)={+0.04\mathrm{}}_{-0.05\mathrm{}}^{+0.03\mathrm{}}$, $\delta \mathrm{}\left(714\right)=+0.98\mathrm{}\pm 0.19$, and $\delta \mathrm{}\left(723\right)=-3.4\mathrm{}\pm 0.1$ for the transitions in ${\mathrm{Te}}^{124}$; $\delta \mathrm{}\left(754\right)={-5.5\mathrm{}}_{-0.3\mathrm{}}^{+0.4\mathrm{}}$ for the $2^{{+}^{\prime }}\to 2^{+}$ transition in ${\mathrm{Te}}^{126}$; and $\delta \mathrm{}\left(491\right)={+27\mathrm{}}_{-9\mathrm{}}^{+30\mathrm{}}$ for the $2^{{+}^{\prime }}\to 2^{+}$ transition in ${\mathrm{Xe}}^{126}$. There is an indication that the mixing ratios for the $2^{{+}^{\prime }}\to 2^{+}$ transitions in even-even tellerium isotopes are negative and the mixing ratios of similar transitions in even-even Xe isotopes have positive values.