It is very tricky to produce binaural effects from “scratch”. Even if recorded, not all people are able to localize the intended directions, especially front and back.
I’ve included some spinning effects in a plug-in. They are rather intended for speakers, but they might suit your needs anyway.
I will consider if it is possible to integrate a adaptive filter to enhance the back/front impression (Blauert bands).
Here’s the newest plug-in version 1.4
The help is not complete yet, but it might suffice to just play around.
rjh-stereo-tool.ny (28.9 KB)
The original thread:
https://forum.audacityteam.org/t/karaoke-rotation-panning-more/30112/1