Hi. So the earth completes 1 rotation in 24 hours. That's 1/86400 seconds which is about 0.00001157407 Hz. Move that up a few octaves (22) and you pretty much got a G note. Using the same math... I found that Mercury and Venus are both closest to A. Earth and Mars are closest to G. Jupiter is closest to Bb. Saturn is closest to A. Uranus is closest to C#. Neptune is closest to D. So our solar system is playing, like a Gm9#11 chord? Why such a sad, weird, dissonant chord do you think? Why does our solar system feel like that? Pluto would be closest to B... which would make the chord even weirder.... I don't even know what you'd name that chord. Maybe this is why scientists don't want to make pluto a planet???
it's important to remember that those frequencies are not close enough in tune to warrant calling it the chord you called it. some of them are really like half way in between notes. i think if you are interested in what it sounds like, you will need to try putting all those frequencies together (multiplied up several octaves of course) and hear what it sounds like