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Definition of incommensurable:

  1. Not commensurable; having no common measure or standard of comparison; as, quantities are incommensurable when no third quantity can be found that is an aliquot part of both; the side and diagonal of a square are incommensurable with each other; the diameter and circumference of a circle are incommensurable.
  2. One of two or more quantities which have no common measure.

Synonyms:

incompatible, uncomparable, mismatched, inconsistent, unsuitable, discrepant, absurd, inharmonious, ill-matched, conflicting, irreconcilable, contrary, inapposite, contradictory, repugnant, incommensurate, incomparable, discordant, mismated, incongruous, inappropriate.

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