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N-2	6 Months Ended
	Jun. 30, 2024 shares
Cover [Abstract]
Entity Central Index Key	0001395325
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Document Type	N-CSRS
Entity Registrant Name	Eaton Vance Risk-Managed Diversified Equity Income Fund
General Description of Registrant [Abstract]
Investment Objectives and Practices [Text Block]	The Fund’s primary investment objective is to provide current income and gains, with a secondary objective of capital appreciation.
Common Share [Member]
Capital Stock, Long-Term Debt, and Other Securities [Abstract]
Outstanding Security, Title [Text Block]	Common Shares
Outstanding Security, Held [Shares]	67,301,787

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