Worked tide example

How to Calculate the Height of High Water at a Secondary Port

Compare today's standard port high water with its MHWS and MHWN, then interpolate the secondary port's height differences in proportion. A 5.3 m high water with differences of −0.4 m at springs and −0.2 m at neaps gives a difference of −0.36 m and high water of 4.9 m at the secondary port.

The question

Today's HW at the standard port is 5.3 m. The standard port's MHWS is 5.5 m and MHWN 4.4 m. The secondary port's height differences are −0.4 m at MHWS and −0.2 m at MHWN. What is the height of HW at the secondary port?

What you are given
ItemValue
Standard port HW5.3 m
MHWS / MHWN5.5 m / 4.4 m
Difference at MHWS / MHWN−0.4 m / −0.2 m

Working, step by step

  1. Today's HW is 0.9 m above MHWN, out of 1.1 m between MHWN and MHWS: 0.82 of the way.
  2. The difference changes from −0.2 m to −0.4 m, a change of −0.2 m.
  3. Difference = −0.2 + 0.82 × (−0.2) = −0.36 m.
  4. Secondary port HW = 5.3 m − 0.36 m = 4.9 m.

Answer

High water at the secondary port is about 4.9 m. Some almanacs also list a seasonal change in mean level; add it if given.

The tides in this example are made up for practice. For real passages, use official predictions such as ADMIRALTY EasyTide or a nautical almanac, and the port's own tidal curve.

Try it yourself

Put your own numbers into the free tide calculator, which uses the same Rule of Twelfths and works out under-keel clearance.

Learn the method

More worked tide examples

Frequently asked questions

Do you do the same for low water?

Yes. Interpolate the low water difference between MLWN and MLWS in the same way, using today's standard port low water.