The album debuted at number 17 on the Top Jazz Albums and number 4 on the Top Contemporary Jazz Albums in the United States. It was supported by single "Insane" with an accompanying animated music video directed by Juppi Juppsen.
Enigmatic Society was met with generally favourable reviews from music critics. At Metacritic, which assigns a normalized rating out of 100 to reviews from mainstream publications, the album received an average score of 70 based on five reviews.[1]
Robin Murray of Clash praised the album, saying "finessed and unified, Enigmatic Society is magnificent, a micro-masterpiece that refuses to be pigeonholed. Free-thinking yet direct, it's a salute to collaborative art, and the geniuses behind it".[3] Kate Hutchinson of The Observer stated: "while many mainstream acts lean on jazzists to lend some flair, it's rare that it goes the other way. But Dinner Party bring serious chops to contemporary music's top table".[5] Ben Cardew of Pitchfork resumed: "the whole is stronger than the sum of its parts".[4]AllMusic's Andy Kellman found it "neither as powerful nor as weighty as the debut, and certainly doesn't seem intended to match it in those regards. It's altogether a calmer, more romantic work".[2]
In the mixed review for The Wire, the critic concluded: "this is pleasant but forgettable music, dissolving the instant it hits the eardrum".
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