720 LEDs will require more ram memory than the Uno has. 3 bytes are needed for each led, and the Uno has only 2000 bytes. Same with Nano, Pro Micro etc. Mega has enough ram, but I don't think you could squeeze 6 msgeq7 chips, phono/3.5mm stereo Jack sockets and all the associated components on a proto shield. What is your plan?
I've never used one, but I would be considering one of the Teensy 3.x boards, or one of the samd21 boards by AdaFruit or Sparkfun.