To further understand the characteristics of the stimulus values in colors obtained via subtractive color mixture, new theorems are provided. The theorems aim to establish bounds on mixtures of colorants given stimulus measurements of the constituent single-colorant samples and the illuminant. Previously we only proved theorems for the ideal color. In the present article, new theorems related to the removal of the restriction of the ideal color are provided and establish bounds for all cases of spectral transmittances. The results of this article contributes to a systematization of subtractive color mixture. (C) 2004 Wiley Periodicals, Inc.