1. A method for representing a digital image in an extended CMYK color space that has an extended color gamut, the image for output to an output device that uses a set of more than four colorants and is capable of reproducing the extended color gamut, the method comprising: providing a transformation from the extended CMYK color space to amounts of each of the set of colorants of the output device; providing a device profile for the extended CMYK color space that is associated with the transformation and that provides for converting between a first color space having a set of color coordinate values and the extended CMYK color space such that the output device behaves as if it was a CMYK device with extended CMYK values; and representing the digital image in the extended CMYK color space, such that the color of a print produced by printing the colorant values obtained by transforming a first set of extended CMYK values matches the color represented by the set of color coordinate values in the first color space that would result by converting first set of extended CMYK values from the extended CMYK color space to the first color space using the conversion of the device profile.