High-spin states in 193 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 π h 9/2 ⊗ νi 13/2 −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.