Science/Philosophy question

Do we see purple wrong?

Okay so orange is a mixture of red and yellow, and on the electromagnetic spectrum, it’s wavelength falls between red’s and yellow’s. Green is a mixture of yellow and blue, and on the electromagnetic spectrum it’s wavelength is between yellow’s and blue’s. Purple is a mixture of red and blue, but it’s wavelength is ~400nm, not in-between red and blue, but outside of them. So do we see purple wrong, and substitute the red-blue colour at 400nm because our brains cannot perceive the actual colour? 

 

http://www.pion.cz/en/article/electromagnetic-spectrumObrázek