My daughter was watching Blue's Clues. They were doing color combinations (red + blue = purple, yellow + blue = green, etc). They then also did a further step, blue + green = cyan, and did green + yellow = chartreuse. Now maybe its my male engineer brain, but I haven't heard of that color in 36 years, but it does make sense and it is rather distinct.
I think using violet as a name for the entire color-range around (~128, 0, 255) is also common. So in a sense purple is an element of the violet color-range. But as points they are distinct. I think purple is more specific - as a color-range it'd cover less area.