Already, 2013 began with three gun homicides on New Year’s Day, two of them on the South Side. Like other cities, Chicago has long been a segregated place, richer and whiter on the North Side, and the city’s troubling increase in killings has accentuated a longstanding divide.

“It’s two different Chicagos,” said the Rev. Corey B. Brooks Sr., the pastor of New Beginnings Church on the South Side, who had led the funeral service for Mr. Holman the day shots rang out, then found himself leading Mr. Miller’s funeral service a week later. The authorities here have described both shootings as gang related. “If something like that had happened at the big cathedral in downtown Chicago or up north at a predominantly white church, it would still be on the news right now, it would be such a major thing going on.”

More than 80 percent of the city’s homicides took place last year in only about half of Chicago’s 23 police districts, largely on the city’s South and West Sides. The police district that includes parts of the business district downtown reported no killings at all. And while at least one police district on the city’s northern edge saw a significant increase in the rate of killings, the total number there still was dwarfed by deaths in districts on the other sides of town, and particularly in certain neighborhoods.

Along the streets downtown and in neighborhoods on the North Side not far from Lake Michigan, some residents acknowledged that they had heard about a rise in the city’s homicide rate, but said it had not affected their own sense of safety. “This area is a bit of a Garden of Eden,” said Gwen Sylvain, as she walked dogs along a residential street not far from the Loop.