1. A color image processing apparatus comprising: an image forming unit configured to form a color image using recording materials of a plurality of colors; an image processing unit configured to implement a plurality of image processing methods that achieves a plurality of types of halftone representations; a color measurement unit configured to perform color measurement of the color image formed by the image forming unit; a single-color calibration unit configured to execute single-color calibration by causing the color measurement unit to perform color measurement of a pattern image including a plurality of single-color patch images that is formed using a same single-color recording material, among a plurality of single-color recording materials, and that has densities different from one another, the plurality of single-color patch images being formed for each of the plurality of single-color recording materials by the image forming unit, and then acquiring, based on a result of the color measurement by the color measurement unit, a correction data to be used to bring a reproduction characteristic of a single-color image formed by the image forming unit close to a first target value; and a multi-color calibration unit configured to execute multi-color calibration by causing the color measurement unit to perform color measurement of a pattern image including a plurality of multi-color patch images having colors different from one another, each of which is formed using multiple color recording materials by the image forming unit, and then acquiring, based on results of the color measurement by the color measurement unit, correction data to be used to bring a reproduction characteristic of a multi-color image formed by the image forming unit close to a second target value, wherein two or more image processing methods among the plurality of image processing methods are used to form the pattern image including the plurality of single-color patch images during the single-color calibration, and one or more image processing methods among the plurality of image processing methods are used to form the pattern image including the plurality of multi-color patch images during the multi-color calibration, and a number of image processing methods used at a time of forming the pattern image including the plurality of multi-color patch images is smaller than a number of image processing methods used at a time of forming the pattern image including the plurality of single-color patch images.