Rule of twelfths

In places where there is only one high and one low water per day, the rule can be used by assuming the steps are 2 hours.

The calculation can be simplified by adding twelfths together and reducing the fraction beforehand: If midwinter sunrise and set are at 09:00 and 15:00, and midsummer at 03:00 and 21:00, the daylight duration will shift by 0:30, 1:00, 1:30, 1:30, 1:00 and 0:30 over the six months from one solstice to the other.

The rule is a rough approximation only and should be applied with great caution when used for navigational purposes.

The rule assumes that all tides behave in a regular manner, this is not true of some geographical locations, such as Poole Harbour[5] or the Solent[6] where there are "double" high waters or Weymouth Bay[5] where there is a double low water.

The rule assumes that the period between high and low tides is six hours but this is an underestimate and can vary anyway.

Graph showing relationships between the rule of twelfths (coloured bars), a sine wave (dashed blue curve) and a clockface, if high tide occurs at 12:00
A regular dodecahedron (grey) approximated with a lattice polygon using the rule of twelfths (red)