1. A method for producing device-dependent color specifications for an N-color device, where N is greater than three, the method comprising: receiving, with a processor, a selected device-independent color specification; determining, with the processor, a current device-dependent color specification for a target N-color device, the current device-dependent color specification corresponding to the selected device-independent color specification; repeating, with the processor, until a termination condition is reached: creating a set of changed colorant values by changing, by a selected amount, values of a selected subset of colorants within the current device-dependent color specification; determining, with the processor, a modified device-dependent color specification, the modified device-dependent color specification comprising the changed colorant values for the selected subset of colorants and values determined, based upon a printer model of the target N-color device, for remaining colorants of the modified device-dependent color specification so that the modified device-dependent color specification containing the changed colorant values yields the selected device-independent color specification, the remaining colorants being different from the selected subset of colorants; determining, with the processor, a new color image spatial noise value associated with the modified device-dependent color specification; adjusting, with the processor, based upon the new color image spatial noise value, the amount to change values of the selected subset of colorant values within the device-dependent color specification during a next iteration; storing, with the processor in a color characterization of the target N color device, the resulting device-dependent color specification as a mapping for the selected device-independent color specification; and outputting the color characterization from the processor.