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Enter the width of the furniture below it, the run of bare wall, or the gap above your kitchen cabinets. The answer is a diameter and a hanging height.
The console, sideboard or mantel it hangs over
Enter width of the furniture for the size and the hanging height.
Over furniture, a clock is sized against the furniture. The proportion is the same two-thirds that governs mirrors and pictures — a little under is safe, a little over starts to look top-heavy. On a 120cm sideboard that lands at about 75cm.
On a bare wall the constraint changes completely. A clock needs clear space of roughly half its own diameter on each side to read as placed rather than crammed, so the largest clock a run of wall takes is about half that run. This is why a large room with a 90cm gap between a door frame and a bookcase is still a small-clock room, and why the measurement to take is the usable run rather than the wall corner to corner.
In a kitchen neither applies. Wall cabinets top out at around 210cm and the clock goes in the gap between them and the ceiling, centred in it with roughly 10cm clear above and below the face. If the gap is 40cm the clock is a 25–30cm clock, whatever the rest of the room would take.
Height is a separate question with two answers. A clock you genuinely read hangs above furniture and sightlines, centred 150–170cm from the floor, where the face stays legible at an angle. A clock that is mainly decorative follows the gallery convention at 145cm, which puts it in the same line as pictures on the same wall.