To represent a wide variety of spectral reflectance accurately with possibly small numbers of characteristic vectors, the vectors should be computed from as many as color samples. From the reflectance spectra of 1,565 Munsell color chips (glossy collection) color characteristic vectors are computed by using the Karhunen-Loeve transform (KLT). With the obtained color characteristic vectors, spectral reflectances of Macbeth ColorChecker's test colors are reconstructed and their spectra are shown graphically to see the fitness of our characteristic vectors. For each color, the chromaticity differences between the measured and reconstructed spectra were calculated and shown in the CIE xy chromaticity diagram. As a result, we can reconstruct the measured color reflectance spectra very closely by the first four characteristic vectors. With the first three characteristic vectors, however, color differences between the measured and reconstructed spectra were not negligible.