Because we needed a new improved and very different color encoding space for being able to faithfully encode the presently emerging high dynamic range video for good quality rendering on emerging HDR displays such as the SIM2 display, the video encoder (300) with an input (308) to obtain a video from a video source (301) wherein pixel colors are encoded in an (XYZ) color encoding, the video encoder comprising an opto-electronic conversion unit (304) arranged to convert the luminances (Y) of the pixel colors into lumas (Y') with a predetermined code allocation function (F), characterized in that the video encoder comprises a chromaticity determination unit (310), which is arranged to encode chromaticities (u'',v'') of pixel colors with lumas (Y') below a predetermined threshold luma (E') with a mathematical chromaticity definition which yields a maximum encodable saturation (S_bL) for a particular hue for pixel colors with a luma below the predetermined threshold luma (E') which is lower than a maximum encodable saturation (S_bH) for the particular hue for a pixel color with a luma above the predetermined threshold luma (E'), and a constant maximum encodable saturation (S_bH) for pixels with colors of a particular hue and a luma equal to or larger than the predetermined threshold luma (E').