aerodontalgia vs toothache

aerodontalgia and toothache both are nouns.

Word	Noun	Adjective	Verb	Adverb
aerodontalgia	Yes	No	No	No
toothache	Yes	No	No	No

As nouns, toothache is a hypernym of aerodontalgia; that is, toothache is a word with a broader meaning than aerodontalgia:

aerodontalgia: pain in the teeth that results from a change in air pressure (as in flying or mountain climbing)
toothache: an ache localized in or around a tooth

Other hypernyms of aerodontalgia include odontalgia.

aerodontalgia (noun)	toothache (noun)
pain in the teeth that results from a change in air pressure (as in flying or mountain climbing)	an ache localized in or around a tooth