Competition of rotation around the intermediate and long axes in Tl193

High-spin states in $^{193}\mathrm{Tl}$ were studied and the level scheme was revised and extended including the observation of new rotational bands. A surprising competition between bands built on the same $\ensuremath{\pi}{h}_{9/2}\ensuremath{\bigotimes}\ensuremath{\nu}{{i}_{13/2}}^{\ensuremath{-}2}$ nucleon configurations is observed. It is suggested that it is generated by two different rotational modes of this triaxial nucleus: (i) a rotation around the intermediate nuclear axis, producing a pair of chiral symmetry bands, and (ii) a rotation around the long nuclear axis, producing a third band with lower alignment.