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(...) For an additive system, light is created directly. This means that the primary colors of the most effective additive color system are simply red, green, and blue (RGB).
(...) For a subtractive color system, a certain reflected color is obtained by absorbing the opposite color. Therefore, the primary colors of the most effective subtractive system are the opposites of red, green, and blue, which happen to be cyan, magenta, and yellow (CMY).
(...)So where did the red-yellow-blue color system come from that they teach in elementary school? Typically, students first encounter color concepts when painting in an art class in grade school. Paint is a subtractive color system, and therefore the most effective primary colors for painting are cyan, magenta, and yellow. Note that high-quality paintings typically do not use just three primary colors since more vivid scenes can be achieved using dozens of primary colors. But when teaching art, it's easier to start more simply; with just three primary colors. Now, to a little grade-schooler, the words "cyan" and "magenta" don't mean much. Furthermore, to an undiscerning youngster's eye, cyan looks awfully close to blue and magenta looks awfully close to red. Therefore, cyan-magneta-yellow becomes corrupted to blue-red-yellow. Elementary art teachers either ignorantly perpetuate this less effective color model (because that's how they were taught as children), or intentionally perpetuate it (because it's just too hard to teach six-year-old's the difference between cyan and blue)...
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