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rule of twelfths : ウィキペディア英語版
rule of twelfths

The rule of twelfths〔(Rule of Twelfths for quick tidal estimates )〕 is a rule of thumb for estimating the height of the tide at any time, given only the time and height of high and low water.〔The Outboard Boater's Handbook: Advanced Seamanship and Practical Skills, written by David R. Getchell, published by International Marine, page 195, ISBN 978-0-07-023053-8〕 This is important when navigating a boat or a ship in shallow water, and when launching and retrieving boats on slipways on a tidal shore.
The rule assumes that the rate of flow of a tide increases smoothly to a maximum halfway between high and low tide before smoothly decreasing to zero again and that the interval between low and high tides is approximately six hours. For the six hours,
the rule says that in the first hour after low tide the water level rises by one twelfth of the range, in the second hour two twelfths, and so on according to the sequence - 1:2:3:3:2:1.〔The weekend navigator: simple boat navigation with GPS and electronics, written by Robert J. Sweet, page 162, ISBN 978-0-07-143035-7〕
==Example calculation==
If a tide table gave us the information that tomorrow's low water would be at noon and that the water level at this time would be two metres above chart datum and further, that at the following high tide the water level would be 14 metres. We could work out the height of water at 3:00 p.m. as follows:
*The total increase in water level between low and high tide would be: 14 - 2 = 12 metres.
*In the first hour the water level would rise by 1 twelfth of the total (12 m) or: 1 m
*In the second hour the water level would rise by another 2 twelfths of the total (12 m) or: 2 m
*In the third hour the water level would rise by another 3 twelfths of the total (12 m) or: 3 m
*This gives us the increase in the water level by 3:00 p.m. as 6 metres.
This represents only the increase - the total depth of the water (relative to chart datum) will include the 2 m depth at low tide: 6 m + 2 m = 8 metres.
Obviously the calculation can be simplified by adding twelfths together and reducing the fraction beforehand i.e.
Rise of tide in three hours =\left(++\right)\times 12 \ \mathrm=\left(\right)\times12 \ \mathrm=\left(\right)\times12 \ \mathrm=6 \ \mathrm

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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