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How to incorporate white into color system?

In comparison to RGB, HSV is convenient because it keeps color in the separate channel. One problem. It does not include black and white. I don't need intensity of color(that is value), but humans do recognize black and white as separate colors.

How to incorporate white into color system?

In comparison to RGB, HSV is convenient because it keeps color in the separate channel. One problem. It does not include black and white. I don't need intensity of color(that is value), but humans do recognize black and white as separate colors.

image description image description

White is absent.

How to incorporate white into color system?

P.S. An important update to answer 2.

In comparison to RGB, HSV is convenient because it keeps color in the separate channel. One problem. It does not include black and white. I don't need intensity of color(that is value), but humans do recognize black and white as separate colors.

image description image description

White is absent.