hangman's halter vs hangman's rope

hangman's halter and hangman's rope both are nouns.

Word	Noun	Adjective	Verb	Adverb
hangman's halter	Yes	No	No	No
hangman's rope	Yes	No	No	No

As nouns, hangman's halter and hangman's rope are synonyms defined as:

hangman's halter and hangman's rope: a rope that is used by a hangman to execute persons who have been condemned to death by hanging

Other synonyms of hangman's halter include halter, hemp, hempen necktie.

hangman's halter (noun)	hangman's rope (noun)
a rope that is used by a hangman to execute persons who have been condemned to death by hanging	a rope that is used by a hangman to execute persons who have been condemned to death by hanging