call forth vs summon

call forth and summon both are verbs.

Word	Noun	Adjective	Verb	Adverb
call forth	No	No	Yes	No
summon	No	No	Yes	No

As verbs, summon is a hypernym of call forth; that is, summon is a word with a broader meaning than call forth:

call forth: summon into action or bring into existence, often as if by magic
summon: cause to become available for use, either literally or figuratively

Other hypernyms of call forth include call up.

call forth (verb)	summon (verb)
summon into action or bring into existence, often as if by magic	make ready for action or use
evoke or provoke to appear or occur	call in an official matter, such as to attend court
	ask to come
	gather or bring together
	cause to become available for use, either literally or figuratively