Reducing metamerism is one of the main goals of spectral printing. There are three main steps in spectral printing to address:1. What is the printer gamut in spectral space (Printer Forward Model)2. Given an input spectrum, what is the closest point on the printer gamut to the input reflectance (Spectral Gamut Mapping)3. What ink density combination produces the given point on the gamut (Ink Separation)In this paper we address the first issue for printers with a large number of inks. The performance of the model is evaluated based on an 8-ink printer and is compared to the most commonly used technique. We show that the new model performs as accurately as the existing models but does not require as many as constraints to set up the model.