>>11052903>>11052919i think i solved it.
assume a reference level of 1dB (threshold of hearing) at 1m away from the speaker.
after 365 days, the speakers will be outputting 365 dB at 1m away from the speaker.
since sound pressure halves for every doubling of distance, we can derive this formula.
365 + 20log10(1/2^x) = 1 dB
solving for x gives us 60.46 doublings of distances.
if we substitute our doubling of distances into a base 2 exponential function, we get
(1/2)*2^60.46= 7.93 * 10^17 m
so a distance of 7.93*10^17 meters is what is necessary for the sound pressure level to decay to 1 dB, or about 10 light years.
however, sound does not carry very well in space. so the song's presence would be limited to earth.
