commutation vs commuting

commutation and commuting both are nouns.

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

As nouns, commutation and commuting are synonyms defined as:

commutation (noun)	commuting (noun)
the travel of a commuter	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