Still & Wake

Rule of twelfths calculator

Type the times and heights of low and high water from your tide table. The tool works out roughly how high the tide will be at any time between them.

Height of tide by the rule of twelfths

About 8 m at 15:00

Rising tide, range 12 m, each tidal hour 1 h 0 min.

Tidal hourTimeChangeHeight (rule)Height (sine curve)
012:00-2 m2 m
113:00+1 m3 m2.8 m
214:00+2 m5 m5 m
315:00+3 m8 m8 m
416:00+3 m11 m11 m
517:00+2 m13 m13.2 m
618:00+1 m14 m14 m

This is a rough guide, not a tide table. Take the times and heights from an official tide table for your port, and use the table's own figures wherever you can.

A green-hulled fishing boat on an orange mooring buoy in a calm bay below green headlands.
How much water under her at noon? Start with the tide table.

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How to use it

Put in the first water's time and height, then the next one's. Use the 24-hour clock and metres. It works for a rising or a falling tide, and across midnight. Add a time to get the height then. Add a height, such as the depth you need over a sill, to see roughly when the tide gets there.

A green-hulled sailing dinghy pulled up on a shingle beach, its sail furled along the boom and a grey sea behind.
Launching or coming ashore: how high is the water now?

How it is worked out

The rule says that between low and high water, the tide rises by 1, 2, 3, 3, 2 and then 1 twelfths of its range, one step for each sixth of the time. It falls the same way. So halfway through, it has risen half its range. The middle two steps, at 3 twelfths each, move more water than the others.

The source's own example: low water at noon, 2 m; high water at 6 pm, 14 m. The range is 12 m. By 3 pm the tide has risen 1 + 2 + 3 twelfths, which is 6 m, so the height is 8 m. Put those numbers in and you get 8 m.

We split the time between the two waters into six equal "tidal hours". The source notes that six hours is an underestimate, so a tidal hour is often a little longer than a clock hour. Between two steps we draw a straight line. The last column shows the smooth sine curve the rule is based on, so you can see how far apart they are.

When not to use it

It is a rough approximation, and an official tide table is always better. It doesn't suit places where the tide is not a smooth curve. The source names Poole Harbour and the Solent, which have double high waters, and Weymouth Bay, which has a double low water.

Sources

Craig Fearn runs Still & Wake. He writes the guides and journal.

Questions, answered

What is the rule of twelfths?
A rule of thumb: the tide moves 1, 2, 3, 3, 2 and 1 twelfths of its range in each sixth of the time between low and high water.
How accurate is it?
It is an approximation of a smooth curve. The table shows both, and an official tide table should be used wherever you can.
Does it work in the Solent?
No. The source names the Solent and Poole Harbour, with their double high waters, as places it does not suit.