1.  commutation(n = noun.act) commuting - the travel of a commuter;
is a kind of travel, traveling, travelling
Derived form verb commute₂

2.  commutation(n = noun.communication) - a warrant substituting a lesser punishment for a greater one;
is a kind of warrant
Derived forms verb commute₅, verb commute₄

3.  commutation(n = noun.act) re-sentencing - (law) the reduction in severity of a punishment imposed by law;
is a kind of clemency, mercifulness, mercy
Derived form verb commute₄

4.  commutation(n = noun.act) exchange, substitution - the act of putting one thing or person in the place of another:; "he sent Smith in for Jones but the substitution came too late to help"
is a kind of change
has particulars: replacement, replacing, subrogation, ablactation, weaning
Derived forms verb commute₃, verb commute₁

1.  A passing from one state to another; change; alteration; mutation. [1913 Webster]
"So great is the commutation that the soul then hated only that which now only it loves." [1913 Webster]

2.  The act of giving one thing for another; barter; exchange. [1913 Webster]
"The use of money is . . . that of saving the commutation of more bulky commodities." [1913 Webster]

3.  The change of a penalty or punishment by the pardoning power of the State; as, the commutation of a sentence of death to banishment or imprisonment. [1913 Webster]
"Suits are allowable in the spiritual courts for money agreed to be given as a commutation for penance." [1913 Webster]

4.  A substitution, as of a less thing for a greater, esp. a substitution of one form of payment for another, or one payment for many, or a specific sum of money for conditional payments or allowances; as, commutation of tithes; commutation of fares; commutation of copyright; commutation of rations. [1913 Webster]

5.  regular travel from a place of residence to a place where one's daily work is performed; commuting. Most often, such travel is performed between a suburb and a nearby city. [1913 Webster]

commutation, n.
1 the act or process of commuting or being commuted (in legal and exchange senses).
2 Electr. the act or process of commutating or being commutated.
3 Math. the reversal of the order of two quantities.

Idiom:
commutation ticket US a season ticket.

Etymology:
F commutation or L commutatio (as COMMUTE)

N  compensation, equation, commutation, indemnification, compromise, neutralization, nullification, counteraction, reaction, measure for measure, retaliation, equalization, robbing Peter to pay Paul, set-off, offset, make-weight, casting-weight, counterpoise, ballast, indemnity, equivalent, quid pro quo, bribe, hush money, amends, counterbalance, counterclaim, cross-debt, cross- demand, compensating, compensatory, countervailing, in the opposite scale, equivalent, in return, in consideration, but, however, yet, still, notwithstanding, nevertheless, nathless, none the less, although, though, albeit, howbeit, mauger, at all events, at any rate, be that as it may, for all that, even so, on the other, hand, at the same time, quoad minus, quand meme, however that may be, after all is said and done, taking one thing with another, light is mingled with the gloom, every dark cloud has a silver lining, primo avulso non deficit alter, saepe creat molles aspera spina rosas.

N  compromise, commutation, composition, middle term, mezzo termine, compensation, abatement of differences, adjustment, mutual concession.

N  barter, exchange, scorse, truck system, interchange, a Roland for an Oliver, quid pro quo, commutation, composition, Indian gift, trade, commerce, mercature, buying and selling, bargain and sale, traffic, business, nundination, custom, shopping, commercial enterprise, speculation, jobbing, stockjobbing, agiotage, brokery, deal, dealing, transaction, negotiation, bargain, free trade, commercial, mercantile, trading, interchangeable, marketable, staple, in the market, for sale, wholesale, retail, across the counter, cambio non e furto.

N  substitution, commutation, supplanting, metaphor, metonymy, substitute, ersatz, makeshift, temporary expedient, replacement, succedaneum, shift, pis aller, stopgap, jury rigging, jury mast, locum tenens, warming pan, dummy, scapegoat, double, changeling, quid pro quo, alternative, representative, palimpsest, price, purchase money, consideration, equivalent, substituted, ersatz, phony, vicarious, subdititious, instead, in place of, in lieu of, in the stead of, in the room of, faute de mieux.

N  interchange, exchange, commutation, permutation, intermutation, reciprocation, transposition, rearrangement, shuffling, alternation, reciprocity, castling (at chess), hocus-pocus, interchangeableness, interchangeability, recombination, combination, barter, tit for tat, cross fire, battledore and shuttlecock, quid pro quo, interchanged, reciprocal, mutual, commutative, interchangeable, intercurrent, combinatorial, recombinant, in exchange, vice versa, mutatis mutandis, backwards and forwards, by turns, turn and turn about, each in his turn, everyone in his turn.

commutation ticket