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Definition of sameness : 1. Hence, want of variety; tedious monotony.
2. The state of being the same; identity; absence of difference; near resemblance; correspondence; similarity; as, a sameness of person, of manner, of sound, of appearance, and the like.

Synonyms:

equation, same, monotone, par, excite, parity, selfsameness, change, equivalency, humdrum, monotonousness

equality, equivalence, balance, alikeness, fairness, indistinguishability, identicalness

conformity, standardization, evenness, steadiness, unison, conformance, consistency, no difference, seamlessness, uniformity, monotony, homogeneity, regularity, consonance, constancy, invariability

embodiment, oneness, indivisibility, entirety, atom, intactness, holism, entireness, congruence, completeness, solidarity, simplicity, integrity, unity, cohesion, congruity, fundamentality, element, purity, union, singleness, coincidence, coherence, identity

imitation, analogy, similitude, match, similarity, resemblance, closeness, semblance, likeness, analog, twin

Usage examples:

• I shall never forget the sameness of the scene! - "Anna St. Ives", Thomas Holcroft.
• All that the exceptional requirements of training call for is to make a judicious selection; but, in recognising this principle, rowing men have formed a dietary composed almost wholly of restrictions the effect of which has been to produce a sameness in diet which has almost been as injurious in some cases as the entire absence of any laws would be in others. - "Boating", W. B. Woodgate Commentator: Harvey Mason.
• To discern likeness amidst diversity, it is well known, does not require so fine a mental edge as the discerning of diversity amidst general sameness. - "Impressions of Theophrastus Such", George Eliot.