"Everything was just wow. It was a blessing," Beatz, 31, tells Access Hollywood about their July 31 nuptials. "It was positive energy, and we're still in those moments."
The couple, who tied the knot at a private home on the Mediterranean Sea, are also expecting their first child together.
Beatz, a producer and former deejay, says his new wife doesn't call him by his professional name – which was inspired by his obsession with K-Swiss sneakers "back in the day" – or his real name (Kaseem Dean). Instead, he's known to her simply as "Baba."
While they'll soon be collaborating on parenthood together, Beatz also says he enjoys working with his Grammy-winning singer wife in the studio.
"Anybody that's brilliant can just connect to another mind," he says. "Our chemistry is just a simple flow."