You only really need to care about the first letters of these words. Each sentence could very nearly be a mnemonic for some common sequence. For instance, "Bioluminescent Bubbles Are Over Yonder, Glowing Beneath Vast, Glassy Waters." could be the resistor colors (BBROYGBVGW), except that the third word doesn't start with an R. The original mnemonics are:
Puzzle mnemonic (with "wrong" word bolded) | Real ordering | Sequence | |
Bioluminescent Bubbles Are Over Yonder, Glowing Beneath Vast, Glassy Waters. | BBROYGBVGW | resistor colors | |
Dolphins Keep Pilfering Coral On Dubious Grounds, Sir. | DKPCOFGS | biological taxa | |
Fortunately, Only Greedy Divers Are Especially Belligerent. | FCGDAEB | the order of sharps in musical key signatures | |
Persistent Echolocation May Produce Acceptable Solutions. | PEMDAS | order of operations | |
Sea Otters Have Captured Everyone's Hearts; They're Obviously Adorable. | SOHCAHTOA | trigonometric functions | |
Sometimes, Villainous Egomaniacs May Jeopardize Safe Underwater Navigation. | MVEMJSUN | planets |
The odd words out are ARE, DUBIOUS, ONLY, PRODUCE, EVERYONE'S, and SOMETIMES. Each of these words appears at a different location in its respective sentence; SOMETIMES is the first word, ONLY is the second, etc. Putting the words in this order and reading the first letters (which seems appropriate enough) gives the answer, SOAPED.