The recession describes the order in which the newly-married couple and their wedding party ceremoniously exits the wedding ceremony.

The music played during the recession is known as the recessional.

Merriam-Webster Online Dictionary
recession (noun)
the act or action of - receding withdrawal
a departing procession (as of clergy and choir at the end of a church service)
a period of reduced economic activity
recession (noun)
the act of ceding back to a former possessor
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