Purple is what your brain perceives when both the red and the blue cones are stimulated. Violet and indigo are colors you perceive, the difference is that you can see light of a single wavelength and perceive indigo or violet, but you can’t see a single wavelength and perceive purple.
Now, the red cone does have a small amount of sensitivity at those short wavelengths, but not enough that a single wavelength can look halfway between red and blue.
As for combining indigo and violet, sure, you can, but you don’t have to. There’s a smooth and continuous transition between the colors of the rainbow, it’s a bit arbitrary where you draw lines, and how many lines you draw.
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