Character mistake: When Columbo is in Mr Benedict's house with Mr Benedict, he calculates the cost of Mr Benedict's house at $720,000. A moment later Mr Benedict asks Columbo; "How did you arrive with that figure, $750,000?" (00:43:20)
Character mistake: Columbo discusses the murder of Jennifer Welles with Alex Benedict - who killed her - and he reveals that the odometer reading of Benedict's car showed an extra nine miles despite the fact that it was supposedly immobilised in a garage on the night of the murder. Benedict challenges Columbo, saying that he assumes that he has established the distance between the garage and Jennifer's apartment. "Yes, sir." says Columbo. "Exactly nine miles." Since the murderer would have had to have driven to and from the garage to the scene of the murder - the car was back in the garage when the police searched it the next day - shouldn't he have said "Exactly four and a half miles."?
Character mistake: In the performances, Benedict is not conducting; he is waving his arms around.
Character mistake: During a rehearsal, conductor Alex Benedict instructs the orchestra to play "quasi un fantasia." Columbo asks Benedict's wife Janice what those words mean. She tells him, "It's Latin for 'like a fantasy." The words are Italian, not Latin.
Answer: In the show, he was already a Lieutenant. A promotion would put him in the next rank up, which for the L.A.P.D. would be Captain. However, some of a Captain's duties would be overseeing other officers and ensuring they're compliant with policies, regulations, and standards. It would also most likely take him out of the field. This is something Columbo has no desire for as he rarely goes to police HQ's. Nor does he show interest in compliance and standards (for example, not going to his semi-annual evaluation at the firing range). However, he could still be assigned to a higher pay grade based on expertise, which is a form of promotion that does not include rank advancement. This would be going from Lieutenant I to Lieutenant II. I don't believe in the show it's ever started what his pay grade is. Although, in s02e01 (I believe) he mentions making $11K a year. Whether or not this was a true statement on his part, if you could find pay scale information for an LAPD Lieutenant in the 70's, it could give you an idea of his pay grade.
Bishop73