Especially modern is the keyed-access elevator that opens into the 1,100-square-foot unit on the fifth floor, presenting the open-concept living-dining room on your right. The bay window's broadly obtuse skew angles grant more living space than in the average Beacon Hill parlor and the fifth-floor location brings in generous sunlight from over the low rooftops of the row houses across the street.

What does “Beacon Hill” bring to mind? Paneled doors with brass knockers or granite stoops with iron bootscrapers? Maybe it’s double-hung windows with purple panes or bow front brick façades with wrought-iron rails or parlors and libraries with milled casings and crown moldings?

If those vintage details don’t suit your style, but you’ve got to get a piece of history into your purlieu, check out Unit 5A at 34 Hancock St. on the Hill.

Built in 1974, it was designed to complement, but not copy its 19th-century row house neighbors with a bay-windowed brick front and exposed interior brick from the older structure that had stood on its site. But its polygonal bump-out bay, oversized slider windows, glazed front door, high skewed stoop and clean-lined appearance clue us in to its midcentury modern Manhattan-style interior.

Especially modern is the keyed-access elevator that opens into the 1,100-square-foot unit on the fifth floor, presenting the open-concept living-dining room on your right. The bay window’s broadly obtuse skew angles grant more living space than in the average Beacon Hill parlor and the fifth-floor location brings in generous sunlight from over the low rooftops of the row houses across the street.

To complement that historic scenery, the dining space is enriched with a Tiffany-style stained-glass bowl light fixture and an exposed brick wall with the vestige of a fireplace (closed off) in an old chimney flue.

The living space’s classic built-in comprises display shelves, a TV screen niche, a granite counter, storage drawers and a curio cabinet. Beside this is a contemporary working fireplace with textured beige tiling, a mantelshelf with curved stainless steel brackets, a granite hearth ledge and a vertical stack of display shelves backed by exposed brick.

A wall opening creates a pass-through to the kitchen where classic and contemporary tastes blend immaculately in two sides of granite counter space, maple cabinetry and stainless appliances – all terminating at another exposed brick wall.

The sink with its retractable gooseneck faucet has a white tile backsplash accented with scrolled anthemion reliefs and a cable beltcourse. Next to this is a Bosch dishwasher and a paneled double-door closet containing an LG stacked washer and dryer that faces a KitchenAid refrigerator with a bottom freezer. Beside this is a Jenn-Air five-burner electric range, which neighbors the pass-through for quicker food service.

To the left of the elevator, the hallway passes the door to the common egress stairway, a linen closet, two folding-door closets with built-ins (including shoe cubbies) and a full bath with a combined shower and soaking tub on its way to the two bedrooms.

The master bedroom contrasts a contemporary beige wall treatment with an exposed brick wall bumping out a stepped flue form. The classic ceiling fan has four frosted bell lights. For better sleep, the plantation-shuttered window faces the quiet rear court, which contains six rental parking spaces - available for $275/month each.

The master bath brings color and contour creativity to a new level in the lavatory. Inventive fixtures include a minimalist sculptural commode, a corner shower with curved glass sliders along chrome tracks and a curve-cornered marble vanity with central bump-out sink and cabinet. Tile beltcourses of varying shades of brown horizontal strips complement the marble and contrast the exposed brick wall that has classic chrome towel racks. Frosted designer-glass sconces flank the medicine cabinet, which has mirrors on its door’s front and backsides and behind its shelves.

The second bedroom reprises the master bedroom’s exposed brick, wide double-door closet and plantation-shuttered court-view window. It also has a door to a fire escape as the second means of egress.

Beyond its location amid Beacon Hill’s historic gas lamps, brick sidewalks and narrow tree-lined streets of Federal/Victorian architecture – not to mention the iconic gold dome atop the Massachusetts State House – 34 Hancock St. is centrally located within reach of every urban amenity imaginable: the West End Branch Library, restaurants and cafes galore along Cambridge and Charles streets, Whole Foods Market, Massachusetts General Hospital, City Hall Plaza, shopping and dining at Downtown Crossing and Faneuil Hall Marketplace, three transit lines, and much more.

Offered at $1,249,000, Unit 5A at 34 Hancock St. caters to today’s tastes for contemporary living in a historic neighborhood. For a private showing, contact Roberta Orlandino of Coldwell Banker Residential Brokerage at 617-312-1511 (mobile), 617-266-4430 (direct), or Roberta@robertaorlanino.com.

There will be an open house from 1:30 to 3 p.m. on Saturday, Feb. 22 and Sunday, Feb. 23.