Purple isn’t on the electromagnetic spectrum, you’re thinking of violet. Purple is what we see when long and short wavelength light (i.e., red and blue light) hits our eyes at the same time. This stimulates our retinas in a way that no single wavelength does, so our brains produce a new color, called magenta. And purple is just a bluer hue of magenta, which makes it appear similar to violet, even though there is no violet light involved.
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