The Musica Universalis stretches the idea of music, in the same way that describing courtship as a "dance" stretches the idea of dance. As such, your hope to find melody in there is optimistic at best.
Middle C - C4 - is 261.62 Hz; that is 261.62 vibrations per second. C-1 is 8.17 Hz, which you get by halving the frequency 5 times. It's inaudible, but it can still be considered a C.
Halve C-1 another 19 times, to get C-20, and you'll find it's 1.34 vibrations a day. Still a C. Very far from being audible to humans.
Some kind of superbeing who could sense the motion of planets, and experienced time on a larger scale than us, might sense a hum like that from the rotation of an earth-like planet.
But more practically, an astronomer can get satisfaction from their perception that the stars, planets, moons, and so on, are following patterns. It is music only in a metaphorical sense.
Earth's spin, 1 per day, is somewhere between F# and G. Earth's rotation around the sun, once a year, is between C and C#. The ocean tides of earth, influenced by the complex interplay of the moon's orbit and the inertia of water, no doubt have an interesting harmonic structure.
As you've read - you can find a number of frequencies for all sorts of heavenly bodies.
Here's one way you might convert this into sound that a human can hear:
- Pick a point or a path in space
- Pick a multiplication factor, to bring whatever frequencies you're using, into the human hearing range.
- Invent a way to derive the "loudness" of a particular body, from that point. Probably based on distance and size.
- Play a hum made up of the various frequency properties of that body, multiplied by your chosen factor, at the loudness for that moment.
- Have the various hums change as the heavenly bodies (probably also sped up) move around.
So, for example, you might simulate the "music" "heard" by a comet in an elliptical orbit of the sun. The hum of the sun will be ever present, but will get louder when you're closer to it. As you approach a planet, its higher-pitched hum will fade in, along with the pulse of its moons orbiting, then fade away as you move away.
Whether this will be a pleasant sound, is another matter. I suspect it will be discordant and boring, if judged by the standards of tonal music popular with modern humans.