ETYM Latin incongruus. Related to In- not, and Congruous.
Lacking in harmony or compatibility or appropriateness.
ETYM Pref. in- not + consistent: cf. French inconsistant.
1. Displaying a lack of consistency.
2. Not capable of being made consistent or harmonious.
ETYM Pref. ir- not + reconcilable: cf. French irréconciliable.
Impossible to reconcile; SYN. unreconcilable.
In an incongruous manner.
Without showing consistency.