raise vs heighten

raise is a noun but heighten is not a noun.

Word	Noun	Adjective	Verb	Adverb
raise	Yes	No	Yes	No
heighten	No	No	Yes	No

As verbs, raise and heighten are synonyms defined as:

Other synonyms of raise include enhance.

As verbs, heighten is a hypernym of raise; that is, heighten is a word with a broader meaning than raise:

Other hypernyms of raise include compound, deepen, intensify.

As verbs, heighten is a hyponym of raise; that is, heighten is a word with a more specific, narrower meaning than raise:

raise (noun)	heighten (noun)
the act of raising something
increasing the size of a bet (as in poker)
the amount a salary is increased
an upward slope or grade (as in a road)

raise (verb)	heighten (verb)
cause to become alive again	increase the level of
increase the level of	become more extreme
raise the level or amount of something	make more extreme; raise in quantity, degree, or intensity
raise in rank or condition	make more intense, stronger, or more marked
invigorate or heighten	make (one's senses) more acute
put an end to	increase the height of
bring (a surface or a design) into relief and cause to project
multiply (a number) by itself a specified number of times: 8 is 2 raised to the power 3
cause to be heard or known; express or utter
put forward for consideration or discussion
activate or stir up
establish radio communications with
pronounce (vowels) by bringing the tongue closer to the roof of the mouth
cause to assemble or enlist in military
bet more than the previous player
bid (one's partner's suit) at a higher level
summon into action or bring into existence, often as if by magic
construct, build, or erect
cultivate by growing, often involving improvements by means of agricultural techniques
create a disturbance, especially by making a great noise
call forth (emotions, feelings, and responses)
raise from a lower to a higher position
cause to puff up with a leaven
move upwards
collect funds for a specific purpose
look after a child until it is an adult
give a promotion to or assign to a higher position
register formally as a participant or member