Definitely could be done; you'd also need an electromagnet to "pulse" the pendulum (much like the magnetic "perpetual motion" toys out there).
Also - I would suggest using regular bulbs instead of LEDs. If you can deal with the higher voltages involved, neon lamps would give it a great look.
Also, rather than a tape recorder, use one of those large doorbell "big ben" chimes instead (if you can find a really old one - from the 1960s or so - some of them used a similar motor/drum switched sequencer for the solenoid chime playing system).
It sounds very intriguing, and probably would be cool to watch function...
Also - I would suggest using regular bulbs instead of LEDs. If you can deal with the higher voltages involved, neon lamps would give it a great look.
Also, rather than a tape recorder, use one of those large doorbell "big ben" chimes instead (if you can find a really old one - from the 1960s or so - some of them used a similar motor/drum switched sequencer for the solenoid chime playing system).
It sounds very intriguing, and probably would be cool to watch function...