christop:
The 13cm amateur radio band (2300-2450 MHz) overlaps with both WiFi (2401-2473 MHz) and Bluetooth (2402-2480 MHz) radio frequencies.
Thanks, didn't know that.
However transmitting music on the amateur band is not permitted ( at least in the UK ). I suppose transmitting Wi-Fi and Bluetooth could be classed as data, but in the UK you have to confirm your call sign every so often, normally by voice or Morse code, so it is not such a viable option.
The legal way would be to build it as a ham and then submit it for type approval to operate in the unlicensed bands.
Anyway if the OP has to ask then he probably can't do it. I would certainly not be able to do this due to lack of skill and lack of suitable test instruments. Knowing what to do and knowing how to do it are two very different skills.