The colors are arranged according to their wavelengths. Violet has a wavelength of about 400 nm (4 * 10^-7 meters or 0.0000004 meters), while red has a wavelength of about 700 nm (7*10^-7 meters or 0.0000007 meters).
But clearly, these aren't all the numbers available. What if the wavelength were smaller, like say 10^-23 meters (0.00000000000000000000001) meters? What about larger wavelengths, like a million meters (1,000,000 meters)?
These also exist.
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