Theoretical calculations were previously undertaken, using the computer code CIV3, to calculate transition energies, oscillator strengths and A-values for transition from the 3p⁶3d ground state to the doublet excited states of Ti IV (Kingston A E and Hibbert A 2006 J. Phys. B: At. Mol. Opt. Phys. 39 2217–30). In this paper, these calculations are extended to include both doublet and quartet excited states and to permit mixing between them. Transition energies, oscillator strengths and A-values are obtained for transitions from the 3p⁶3d ²D ground state of Ti IV to the 3p⁶np ²P° (n = 4 to 10), 3p⁶nf ²F° (n = 4 to 10) excited states and also to the excited states ²S°, ²P°, ²D°, ²F°, ⁴S°, ⁴P°, ⁴D°, ⁴F° and ⁴G° given by 3p⁵3d4s and 3p⁵3d² configurations. The transition energies are compared with the transition energies measured using vacuum sparks (Ryabtsev et al 2005 Opt. Spectrosc. 98 519–27). The A-values are compared with the semiempirical calculations of Ryabtsev et al and the measurements of Schippers et al (2004 J. Phys. B: At. Mol. Opt. Phys. 37 L209–16). The calculations are also compared with the most recent theoretical calculations of transition energies and A-values of Ti IV given by Nikolic et al (2009 Phys. Rev. A 79 012703).