Okay, so I think I have figured out the meanings of all of the ones that “connect” to music/science. I’ll give you my opinions of those and then the names in general:
Lydian - as in the musical scale; my opinion - pretty, but it sounds like you just added an N on to [name]Lydia[/name]. You could just go with [name]Lydia[/name] and it would still have somewhat of a connection.
Rayleigh - as in Rayleigh distribution; my opinion - sounds/looks a little made up and will get lumped in with the [name]Bayleigh[/name], [name]Kayleigh[/name], etc. trend, and you may have pronunciation issues.
Timbre - involved in music/the tone of the note; my opinion - this one is not bad but I think there are better names associated with music out there
[name]Aria[/name] - relates to music; my opinion - a legit name with a musical connection! [name]Love[/name]!
Joule - as in the unit; my opinion - don’t like this one, sounds like a made up version of [name]Julia[/name] and also sounds masculine
Michaelis - as in [name]Leonor[/name] Michaelis; my opinion - very masculine sounding as well; why not just go with [name]Leonor[/name]?
Now, the names themselves:
[name]Cera[/name] Lydian - I would prefer [name]Ciara[/name] Lydian or [name]Cerise[/name] [name]Lydia[/name]
[name]Addison[/name] Rayleigh - I have never been a fan of [name]Addison[/name] or [name]Madison[/name], and the popularity would be an issue for me. But the combo sounds nice if you like [name]Addison[/name].
[name]Tabitha[/name] Timbre - [name]Don[/name]'t like the alliteration, but love [name]Tabitha[/name]! [name]Tabitha[/name] Lydian would be better
[name]Addison[/name] [name]Aria[/name] - Again, don’t like the alliteration. Stick Timbre in this combo!
[name]Vesper[/name] Joule - This is the only one that I REALLY don’t care for. Sounds totally masculine to me, and both of the names are pretty “out there”.
[name]Aria[/name] Michaelis - [name]Love[/name] [name]Aria[/name], don’t like Michaelis. If you are set on Joule, [name]Aria[/name] Joule sounds all right, as do [name]Aria[/name] Lydian and [name]Aria[/name] Timbre.
Rayleigh [name]Addison[/name] - Prefer [name]Addison[/name] Rayleigh.
Other names connecting to music: [name]Melody[/name], [name]Cadence[/name], [name]Harmony[/name], [name]Lyric[/name], [name]Piper[/name], [name]Calliope[/name], [name]Carmen[/name] (means “song”), [name]Lyra[/name], [name]Melodia[/name], [name]Allegra[/name], [name]Viola[/name]
Other names connecting to science: Tesla, [name]Nova[/name]
Some new combos: [name]Addison[/name] [name]Lyric[/name] ([name]LOVE[/name] this with [name]Addison[/name]; it balances [name]Addison[/name] quite nicely!), [name]Cera[/name] [name]Calliope[/name] (I actually like the alliteration here, I think because [name]Cera[/name] begins with a soft c whereas [name]Calliope[/name] has the hard c), [name]Cadence[/name] Lydian, [name]Melody[/name] [name]Nova[/name], [name]Aria[/name] [name]Vesper[/name], [name]Carmen[/name] Michaelis, [name]Tabitha[/name] [name]Lyra[/name], Aria Leonor (really like this one!). I’m sure you can make many more combinations! Good luck! You have a great start!