[Inkscape-user] multicolor pinwheel effect.

I want to create a multicolor pinwheel effect for a background, with the arms of each shade radiating out from a hub and curved rather than straight. And I want the colors to blend into each other as in a gradient. A rainbow gradient is an obvious starting point.

Would anyone like to suggest a sequence of tools to arrive at this effect?

I will post this query elsewhere, but will not crosspost.