Wide color gamut displays using monochromatic light sources, such as LED or laser, or applying multi-primary techniques have been introduced by several authors in forms of laboratory based models and for high end natural color vision applications. In order to bring these technologies into the consumer market, one of our latest investigations resulted in a rear projection type high definition multi-primary display (MPD) system which has been realized by a modification of our previous three channel DLP™ projection television. Thereby the full spectral energy of the UHP™ type projection lamp is sequentially separated into five primary spectrums through a rotating color wheel instead of the conventional RGB primary colors so that it enables to reproduce a wide range of colors than sRGB compatible display. The main focus of this study is to describe a gamut mapping method that allows using a full range of color gamut of MPD for a given limited color gamut of television signal. This approach is to display an image in such a way that the limited color saturations of the current television signal are adaptively enhanced for every observer. Through the gamut mapping, the picture quality of MPD is significantly improved in comparison with a conventional display system.