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Webster 1913 Edition

Noun.

[

Tide

-logy

A discourse or treatise upon the tides; that part of science which treats of tides.

J. S. Mill.

tidology ‎(uncountable)

The science of tides.
- 2009, Michael S. Reidy, Tides of History: Ocean Science and Her Majesty's Navy, page 269:
  He referred mainly to his tidology when he applied for the Lowndean professorship of astronomy, which had become vacant that fall.

the science of tides