commute vs commutation

commute and commutation both are nouns.

Word	Noun	Adjective	Verb	Adverb
commute	Yes	No	Yes	No
commutation	Yes	No	No	No

commute (noun)	commutation (noun)
a regular journey of some distance to and from your place of work	the travel of a commuter
	(law) the reduction in severity of a punishment imposed by law
	the act of putting one thing or person in the place of another:
	a warrant substituting a lesser punishment for a greater one

commute (verb)	commutation (verb)
change the order or arrangement of
exchange a penalty for a less severe one
exchange or replace with another, usually of the same kind or category
exchange positions without a change in value
travel back and forth regularly, as between one's place of work and home