Duty cycle calculation and implementation for solid state illuminators

A display system comprising:

• x illuminator systems to produce of x respective primary colors using a single one of the illuminator systems and y distinct overlap colors using two or more illuminator systems, said illuminator systems illuminating a spatial light modulator in a display system;
• an electronically readable table including a first set of n duty cycles of the x primary colors over a frame, wherein the display system can select one of the duty cycles to produce a desired white point;
• processing circuitry for determining an second set of n duty cycles of x+y colors over a frame corresponding to the first set of duty cycles, where the second set of duty cycles are generated responsive to a specified desired allocation of the frame to the y overlap colors, such that each of the overlap colors can be displayed from a dark shade to a bright shade while maintaining a constant color point.