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Tide Height - Rule of Twelfths

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Approximate tidal height at any hour between LW and HW using the rule of 1-2-3-3-2-1 twelfths of the range.

Formula

$$ \text{Fraction of range} = \{\tfrac{1}{12}, \tfrac{2}{12}, \tfrac{3}{12}, \tfrac{3}{12}, \tfrac{2}{12}, \tfrac{1}{12}\} $$

Symbol legend

SymbolMeaningUnitSource
$HW$High water heightmtide table
$LW$Low water heightmtide table
$Range$HW − LWmderived
$Fraction$Hours since LW → fraction of range-rule of twelfths

Sources

  • Admiralty Tide Tables - NP 201.