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The Collaborative International Dictionary
Synodically

Synodically \Syn*od"ic*al*ly\, adv. In a synodical manner; in a synod; by the authority of a synod. ``Synodically agreed upon.''
--R. Nelson.

Wiktionary
synodically

adv. In a synodical manner; in a synod; by the authority of a synod.