Silent White is one of Little Greene's gentle, warm-leaning whites, and that warmth is the key to getting it right. Push cool greys, chrome or bright whites up against it and it'll look a bit murky and grey — like it's lost its glow. Lean into the warmth instead and it sings.
The natural companions are warm neutrals: soft stones, dusty greens and warm taupes. For a quietly elegant scheme, bring in a muted sage like Mylands Artichoke BH.13 (LRV 27.6). It's got just enough depth and softness to sit alongside Silent White without fighting it — gorgeous on a feature wall, panelling or joinery while the broad walls stay light.
If you want something with real backbone for contrast — a front door, a bookcase, a moody dining wall — Dulux Sapphire Springs 1 (LRV 6.4) is a deep inky blue that grounds the whole room. The low reflectance gives you proper drama against the soft white without it ever looking cold.
For a softer mid-tone that bridges the two, Paint & Paper Library Slate IV (LRV 67.5) is a light, gentle option that keeps things airy. Use it on ceilings or in adjoining spaces to carry the warmth through.
The "but what about my trim?" question matters here. Don't default to a bright brilliant white on the woodwork — it'll make Silent White look dingy by comparison. Go a slightly deeper warm white so it reads crisp but stays in the same warm family, and the whole thing holds together.
Finally, your metals and woods do a lot of work. Antique brass, aged bronze and oak flatter Silent White; cool nickel and chrome flatten it. Pick warm hardware and you're sorted.