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Is there a set time advancement each day for the next high and low tide? Does it always repeat 12 1/2 hours later?

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Is there a set time advancement each day for the next high and low tide? Does it always repeat 12 1/2 hours later?

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No. The 12 hour 25 minute cycle is literally only a first-order approximation. Most tide predictions involve twenty to thirty terms, and some require over a hundred. The 12:25 cycle is just the most dominant term.

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