When we stick purple (or violet) at the end of the rainbow, that’s not actually a good representation of wavelengths of light.
Purple does not fit in with the other colors, because there is not a purple wavelength of light. We only perceive purple when there is both red and blue light present. Pure frequencies can make red, green, yellow, blue, etc. But purple is a consequence of our brains interpreting the world around us.
This is why we represent colors with a color wheel, and frequencies with a straight continuum. The rainbow goes from red to blue, but our brains can blend red and blue together with a unique visual color.
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