battle cry vs vociferation

battle cry and vociferation both are nouns.

Word	Noun	Adjective	Verb	Adverb
battle cry	Yes	No	No	No
vociferation	Yes	No	No	No

As nouns, vociferation is a hypernym of battle cry; that is, vociferation is a word with a broader meaning than battle cry:

Other hypernyms of battle cry include call, cry, outcry, shout, yell.

battle cry (noun)	vociferation (noun)
a yell intended to rally a group of soldiers in battle	a loud utterance; often in protest or opposition
a slogan used to rally support for a cause