"Eeyore" noun attr.

[Joel S. Berson]

"Chan's story is moving nonetheless, and with her unseeing eyes and
dark Eeyore voice, she's a presence you don't want to let go of."

Boston Globe, Movie Review, "A fragmented look at lives of longing"
(review of "Be With Me"), June 23, 2006, D12/6.

Google hits for  "eeyore voice" -"eeyore's voice" -"(voice)"  -- are zero.

Joel

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The American Dialect Society - http://www.americandialect.org