Four semitones doesn't seem too bad. That's what, +/-16.7%, amirite?

The important thing is that they're tight enough, and the rim's round. Sure, you want even tension especially on new rims, but do you know what you're doing?

Might be worth practising on an old wheel before trying to improve new ones.

Although if the spokes seem loose, you might try adding 1/4 turn at a time to each spoke, with a bit less on the tighter ones and vice versa.