North-facing rooms receive cool, flat, sunless daylight all year — so the correction is warm electric light run during the day: two or three 2700K high-CRI lamps at low level, on from breakfast on grey days, plus warm-biased decorating. You are not compensating for a failed room; you are supplying the amber wavelength the window never will.
Every UK street has them: the rooms that face away from the sun and spend the year in a kind of dignified gloom. The light is not dim so much as flat — no direct beams, no moving shadows, a persistent blue-grey cast that makes even fresh paint look tired. You cannot re-aim the house. You can out-light it.
Understand what north light is doing
North windows admit only sky-light — diffuse, cool (effectively 6000K-plus on an overcast day), and shadowless. Materials that depend on warmth and modelling — timber, terracotta, skin — lose both. This is why the room feels cold at noon with the heating on: the complaint is chromatic, not thermal. And it is why the standard advice to "maximise daylight" only goes so far here — more of the same light is more of the same problem.
The fix: a daytime warm layer
The counterweight is the accent layer, promoted to daytime duty: two or three warm lamps — 2700K, CRI 90+ — placed deep in the room, away from the window, running at 30–50% whenever the sky is grey. Against the cool window-light their amber reads as sunshine landing somewhere in the room, and the space regains the depth the sky refuses it. LED running costs make the old thrift instinct obsolete: three lamps all day costs pence.

Amalfi Table Lamp
A linen shade that turns one warm bulb into a broad, soft glow — the exact texture of light a north room's flat daylight lacks. Place it deep in the room, opposite the window.
Three placements that work hardest
Opposite the window: a lamp on the room's darkest wall balances the space left-to-right and stops the room reading as a tunnel toward the light. The dead corner: every north room has one; a floor lamp there switches it from a shadow to a feature. Grazing the warmest surface: aim light along brick, timber or a warm-painted wall — lit materials give their colour back to the whole room.
Decorate with the grain, not against it
Warm-undertone neutrals, ochres, clay tones and timber hold their own in north light; cool greys collapse. Test paint on the actual north wall and judge it with the lamps on — that combined light is the room's true condition. Mirrors help less than promised (they multiply the grey), whereas anything that emits warmth — lamps, a fire, brass that catches lamplight — helps more. High-CRI bulbs matter double here: accuracy is the whole game when the daylight is already fighting your colours.