Horology · Timekeeping

Pendulum Clock Regulation Calculator

Your clock runs fast or slow — this tells you which way to turn the rating nut and how many turns to make it keep time.

1 · How is it running?
2 · The error you measured

Tip: compare against your phone, let the clock run a full day, then note how far off it is.

3 · The pendulum
Exact mode: enter pendulum length & rating-nut thread pitch
mm, bob centre to suspension
mm the bob moves per full turn
Adjustment needed
¾ turn

What this pendulum regulation calculator does

A swinging pendulum keeps a mechanical clock on time, and its length sets the speed. A longer pendulum swings more slowly, so the clock loses time; a shorter one swings faster, so the clock gains time. The little knurled rating nut beneath (or above) the bob raises or lowers it, changing the effective length by a tiny amount with each turn. This tool converts the daily error you measured into the exact direction and number of turns to make — so you stop guessing and twisting blindly.

How to use it

  1. Set the clock to the correct time against a reliable reference (your phone or a radio-controlled clock).
  2. Wait and measure. Let it run at least 24 hours, then note how many minutes or seconds it is fast or slow.
  3. Pick "fast" or "slow" and enter the error and the period you measured it over.
  4. Choose your pendulum type (or switch to exact mode and enter length + thread pitch).
  5. Read the result: turn the rating nut the shown direction by the shown amount. Stop the pendulum, turn the nut, restart it, and re-check after another day.
Rule of thumb to remember: to speed a clock up, raise the bob; to slow it down, lower the bob. Most rating nuts sit under the bob, so turning them up (clockwise from below) shortens the pendulum and gains time.

The formula behind it

For a pendulum, the period is proportional to the square root of its length, so a small length change ΔL shifts the rate by half that fraction. Over one day (86,400 s) the daily error from a length change is:

error/day ≈ 86,400 × (ΔL ÷ 2L)

One full turn moves the bob by the thread pitch, so turns needed = (2 × L × dailyError) ÷ (86,400 × pitch). The "typical clock" presets bake in common length/pitch combinations; exact mode uses your own measurements for a precise answer.

Worked example

Say a clock gains 4 minutes (240 s) per day. With a ~994 mm pendulum and a 0.7 mm thread pitch, one turn is worth about 30 s/day, so you need roughly 240 ÷ 30 ≈ 8 turns — and because it's gaining, you must slow it down by lowering the bob. The calculator handles that direction logic for you.

Common mistakes

Per-turn sensitivity at a glance

Pendulum typeApprox. change per full turn
Tall-case / grandfather (~1 m)~15–25 sec/day
Typical mantel & wall clock~30 sec/day
Short / lyre pendulum~45–90 sec/day

These are general guides — exact mode with your real thread pitch is always more accurate.

Frequently asked questions

Which way speeds the clock up?
Make the pendulum shorter by raising the bob. With a nut under the bob that usually means turning it clockwise (thumb to the right). Lowering the bob slows the clock down.
How much does one full turn change things?
It depends on length and thread pitch, but for a typical metre-class pendulum it is roughly 30 to 60 seconds per day per turn. That's why small, patient adjustments work best.
How long should I wait between adjustments?
At least 24 hours per check. Fine regulation can take several days to a couple of weeks to settle, especially as temperature and humidity vary.
My bob is already at the top and it's still slow — now what?
You've run out of nut travel. The pendulum or its suspension leader needs to be physically shortened, or the suspension spring inspected — a job for a clock repairer.
Does temperature affect timekeeping?
Yes. Heat expands the pendulum rod and makes it run slow; cold makes it run fast. Compensated pendulums reduce this, but ordinary clocks may need seasonal tweaks.