Bandai Namco composer Akitaka 'AJURIKA' Toyama (遠山明孝) joined the ranks of the Taiko no Tatsujin-related artists late into the 2nd arcade generation, mostly due to some of his songs from other games being ported into Taiko titles. Like for many other artists before him, however, his Namco Original-related production is mostly tied in by a main theme, whose growing impact made it so to become an actual song series years later.
The series takes its roots from the first song, The Carnivorous Carnival, being affectionately shortened to KaniKani (蟹蟹, crab-crab) thanks to Japanese approximate-readings of the title. It only begins to develop starting from Taiko no Tatsujin Kimidori ver., when sequel songs are released with titles that are more obviously intentional in coining the gimmicky shortened forms. The name of the series takes from the "Seafood Seeker" title, obtainable since Yellow ver. that involves only Full Combo-ing songs from this series in the same credit.
Note that while
Taiko Time is also frequently shortened as Taitai (鯛鯛, sea bream-sea bream), it is not considered as part of this series due to significant differences, including its katakana spelling and not being created by AJURIKA (but Denji Sano).