Code tool

Marine Rule of Twelfths Calculator

Show the seven integer-hour heights for a simplified six-hour rise or fall.

In-browser processingNo account requiredPrivacy details ↗

Height = start ± range × cumulative twelfths. Hours 0–6 use [0, 1, 3, 6, 9, 11, 12] / 12. Add for rise and subtract for fall. Range must be nonnegative; select an integer hour only.

NPS explanation of the six-hour approximation

This is a simplified arithmetic demonstration, not a location-specific tide prediction. It provides no fractional-hour interpolation, tide API or current estimate. Real tidal cycles vary; no safe-navigation recommendation is provided.

A QUICK WALKTHROUGH

How to use this tool

  1. Enter starting height, range, direction and a whole hour.
  2. Calculate the result.
  3. Copy the report or download it as TXT.

Formula and units

Height = start ± range × cumulative twelfths. Hours 0–6 use [0, 1, 3, 6, 9, 11, 12] / 12. Add for rise and subtract for fall. Range must be nonnegative; select an integer hour only.

Scope

This is a simplified arithmetic demonstration, not a location-specific tide prediction. It provides no fractional-hour interpolation, tide API or current estimate. Real tidal cycles vary; no safe-navigation recommendation is provided.

Local processing

Your entries stay in your browser. Copy and TXT export include the inputs, formula and scope.

GOOD TO KNOW

Common questions

How should I use the result?

Use it as an arithmetic estimate based on your supplied inputs.