Not much to go on -- is your style otherwise traditional, modern, or...? Finishes?

Modern LED Linear Chrome Chandelier · More Info

Linear Chandelier 3-Light Halogen, Brushed Nickel/Satin Etched Glass · More Info

Progress Lighting Briarwood Five-Light Linear Chandelier, Antique Bronze · More Info

Linear Chandelier 13-Light, Classic Pewter · More Info

Link LED 3-Light Pendant · More Info

Cascade LED 3-Light Etched Glass Linear Chandelier 3500K, Polished Nickel · More Info

Fredrick Ramond Delfina Six Light Linear Chandelier FR48605MMB · More Info

Kichler Riviera 6-LT Linear Chandelier, Olde Bronze · More Info

Also, you're tearing up inlaid floors to make a kitchen here?

Does the house not have a kitchen you can show us? This brownstone has contemporary lights and at least one room retains the medallion.

Brooklyn Brownstone · More Info

Brooklyn Brownstone · More Info

I No medallion in the kitchen, and certainly not with a linear fixture. Nobody can really advise without seeing the kitchen selections. And the kitchen . Elevated plans on paper.........if only because it is 12'

Possibly some sort of cable lighting that is independent from all the ornamental plaster. It appears that you are putting the new kitchen in the old dining room. Don't molest any of the ornamental plaster work if you can avoid it, even if every room has it.

Some sort of suspension lighting will just kind of float below the ceiling so it doesn't matter where it is in relation to the medallion. However, I would probably not highlight the medallion in this case with a multicolor paint scheme and keep the ceiling and medallion all white:

I need a picture of the kitchen , really .

The kitchen is needed to see. Idk, but I am sure you are updating the space, and the lights should update with that.

Here is how they handled the ceilings in two Brooklyn Brownstone kitchens. The first uses an off-center Tolomeo ceiling fixture with very small recessed lights at the intersection of the coffers. The second I am not sure what they did regarding any medallion but in both they preserved the ceiling as much as possible.