IPA: /ˌɪn.kəˈmɛn.sjʊr.ə.bli/
KK: /ɪnˌkɑː.mɛnˈsʊr.ə.bli/
In a way that cannot be measured or compared; to an extent that is beyond measurement.
The two cultures differ incommensurably, making it hard to find common ground.
Incommensurably → It is formed from "in-" (meaning not), "commensurabilis" (from Latin, meaning measurable together), and the suffix "-ly" (meaning in a manner). The word describes something that cannot be measured together or compared in a meaningful way.
Think of 'not' ('in-') being able to be 'measured together' ('commensurabilis') — that's why incommensurably means something that cannot be compared or measured in a meaningful way.