Color names and their wave lengths and frequencies
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Furthermore as you can see in the list composite colours such as white, gray and black have undefined values.
Approximation or not, you cannot assign a unique wavelength or frequency to perceptual (extra-spectral) colors if for no other reason than that the given λ(f) is factually incorrect. Moreover, even an approximation doesn't make much sense, as simply human vision perceives magenta as a very different color to say various shades of pink (white + red) or any other color near red [orange. orange-red, etc.]. Basically, there is no single λ(f) - spectral - color that looks even vaguely like magenta (similarly for cyan, 'fuchsia' etc.).
Non-spectral/extra-spectral colors (magenta etc.) do not exist as true colors on the visible spectrum as such, rather they are 'perceptual' in that they are created in our minds by mixtures of other colors (e.g.: magenta being a mixture of red+blue).
Why extra-spectral colors exist is a rather complex matter and stems from the very specific way we humans perceive colour (Young-Helmholtz tri-color perception theory https://en.wikipedia.org/wiki/Young%E2%80%93Helmholtz_theory)
A better understanding of how extra-spectral colors fit into the overall color schema and the way we perceive color can be gained from the 'CIE 1931 color space' (Chromaticity diagram).