A production of precision castings by centrifugal casting, includes the following steps: a) providing in a crucible (8) a melt of the following composition: Ti45-52 at. %Al45-50 at. %Xl1-3 at. %X22-4 at. %X30-1 at. %/ where Xl =Cr, Mn, V, X2=Nb, Ta, W, Mo, X3=Si, B, C; b) forcing the melt by means of centrifugal forces from the crucible (8) into a mold (4); c) solidifying the melt within the mold thereby creating a casting consisting of a titanium alloy having a lamellar microstructure; and d) reheating the casting for a duration of 60 to 150 hours at a temperature higher than the eutectic temperature and lower than the alpha-transus temperature of the composition.