Electronic – How to create the characteristic warp core sound

I'm trying to build a miniature warp core (purely decorative, not functional) with the main element being an LED chaser circuit with 10 LEDs. I'm planning on using a 555 timer and a 4017 decade counter like described in many examples one can find on the internet for LED chaser circuits (example).

Now I had the idea that the miniature warp core would be much more impressive if it actually produced the typical warp core sound while it is active, synchronized to the chasing LEDs.

The sound would not have to be the exact sound of course, any oscillating low humming that could conceivable be caused by the engine of a starship would do. Unfortunately my experience with building electronic circuits is extremely limited, so I'm not sure how to produce such a sound. In my naive understanding it could work e.g. by creating a low base sound using another 555 and then somehow use the signal from the 555 driving the LEDs to modify the base sound.