Coated tool

A coated tool comprising:

• a first surface;
• a second surface adjacent to the first surface;
• a cutting edge located on at least a portion of a ridge between the first surface and the second surface;
• a substrate;
• and
• a coating layer located on the substrate, the coating layer comprising a titanium carbonitride layer and an aluminum oxide layer having an α-type crystalline structure, and the titanium carbonitride layer being located nearer to the substrate than the aluminum oxide layer;
• wherein
• when a value represented by the following equation is taken to be an orientation factor Tc(hkl) on the basis of peaks of the aluminum oxide layer analyzed by X-ray diffraction analysis,
• a ratio (Tcf(104)/Tcf(012)) of orientation factors Tcf(104) to Tcf(012) of the coating layer on the second surface is higher than a ratio (Tcr(104)/Tcr(012)) of orientation factors Tcr(104) to Tcr(012) of the coating layer on the first surface:
• Tc(hkl)={I(hkl)/I0(hkl)}/[(1/7)×Σ{I(HKL)/I0(HKL)}]
• where (HKL) represents (012), (104), (110), (006), (113), (024), and (116) crystal planes, each of I(HKL) and I(hkl) represents a peak intensity of a peak attributed to respective crystal planes detected in X-ray diffraction analysis of the aluminum oxide layer, and each of I0(HKL) and I0(hkl) represents a standard diffraction intensity of respective crystal planes listed on JCPDS card no. 43-1484.