Here’s a relevant article, which identifies the tune as Solfeggio and reveals that the gorilla on the left was variously played by such luminaries as Jack Lemmon and Frank Sinatra.
Me, too! I loved Ernie Kovacs and Edie Adams, and the show was wonderfully surreal, but those gorilla heads freaked me out. I actually had nightmares in which the Nairobi Trio pursued me, trying to beat on my head with their horrid drumsticks. I also had nightmares about Ricky Ricardo’s conga drums and Kukla, Fran and Ollie (mostly Kukla and Ollie - Fran wasn’t very scary). I guess I was a sensitive child.