Entry 1 sense Webster, 1913 Inconsequential /ĭngˌ-känˌ-sək-wĕn'-chəl/ · In·con·se·quen·tial · IPA /ɪnˌkɒn.səˈkwɛn.ʃəl/ 01 a. Not regularly following from the premises; hence, irrelevant; unimportant; of no consequence. 1. Not regularly following from the premises; hence, irrelevant; unimportant; of no consequence.