How to plot a smooth color wheel?

How to plot a smooth color wheel, like this?

https://color.adobe.com/create/color-wheel/

Answer 1

[Image Analyst]

See my demo. Adapt as needed.

[db]

Thanks for this!

How might you go about adapting this to use different colormaps? Specifically I'm trying to warp this colorwheel in such a way that dark blue and dark red end up on opposite sides of the circle, but it would also be cool to be able to specify a colormap like jet or autumn and plot that around the wheel. I've tried modifying a bunch of values, but either the colors get all messed up or the geometry of the wheel gets warped too. Any tips?

DB