I mean, if you are being serious here....
The BIOS speaker is typically a piezo. They are triggered by voltage and don't (typically) do anything aside from the one noise level and tone. So, you would first have to locate piezo that each had the specific tone you were looking for. Beyond that you would have to design a relay set being commanded by some other control board/device that would activate each relay as needed to play the tone and thus the tune. I am sure there are other more elegant ways to make this happen but my electrical background is based in alarm components. You can do almost anything with an array of relays.