arithmancy vs soothsaying

arithmancy and soothsaying both are nouns.

Word	Noun	Adjective	Verb	Adverb
arithmancy	Yes	No	No	No
soothsaying	Yes	No	No	No

As nouns, soothsaying is a hypernym of arithmancy; that is, soothsaying is a word with a broader meaning than arithmancy:

arithmancy: divination by means of numbers
soothsaying: the art or gift of prophecy (or the pretense of prophecy) by supernatural means

Other hypernyms of arithmancy include divination, foretelling, fortune telling.

arithmancy (noun)	soothsaying (noun)
divination by means of numbers	the art or gift of prophecy (or the pretense of prophecy) by supernatural means