To enable practical and quick generation of a family of good looking HDR gradings for various displays on which the HDR image may need to be shown, we describe color transformation apparatus (201) to calculate resultant colors (R2, G2, B2) of pixels of an output image (IM_MDR) for a display with a display peak brightness (PB_D) starting from input colors (R,G,B) of pixels of an input image (Im_in) having a maximum luma code corresponding to a first image peak brightness (PB_IM1) which is different from the display peak brightness, characterized in that the color transformation apparatus comprises: a color transformation determination unit (102) arranged to determine a color transformation (TMF; g) from color processing specification data (MET_1) comprising at least one tone mapping function (CC) for at least a range of pixel luminances received via a metadata input (116), which color transformation specifies the calculation of at least some pixel colors of an image (IM_GRAD_LXDR) having corresponding to its maximum luma code a second image peak brightness (PB_IM2), which is different from the display peak brightness (PB_D) and the first image peak brightness (PB_IM1), and whereby the division of the first image peak brightness by the second image peak brightness is either larger than 2 or smaller than ½; a scaling factor determination unit (200) arranged to determine a resultant common multiplicative factor (gt), by comprising: a capability metric determination unit (1303) arranged to determine a metric for locating positions of display peak brightnesses between the first image peak brightness (PB_IM1), and the second image peak brightness (PB_IM2) and outside that range; and a resultant multiplier determination unit (1310) arranged to determine from the display peak brightness (PB_D), the metric, and the color transformation the resultant common multiplicative factor (gt), and wherein the color transformation apparatus (201) further comprises a scaling multiplier (114) arranged to multiply a linear RGB color representation of the input colors with the resultant common multiplicative factor (gt).