Alternative Benchmark Rate Risk [Member] Alternative Benchmark Rate Risk [Member] American Depositary Receipts Risk [Member] Antitakeover Provisions Risk [Member] Benchmark Rate Risk And London Interbank Offered Rate Cessation [Member] Benchmark Rate Risk And London Interbank Offered Rate Cessation [Member] Benchmark Rate Risk and LIBOR Cessation [Member] Cash Holdings Risk [Member] Common Shares [Member] Contingent Liabilities Risk [Member] Convertible Hedging And Short Sales Risk [Member] Convertible Securities Risk [Member] Correlation Risk [Member] Counterparty and Settlement Risk (all Funds except CPZ) [Member] Counterparty and Settlement Risk (all Funds except CPZ) [Member] Counterparty and Settlement Risk (CPZ) [Member] Counterparty And Settlement Risk Cpz Member Counter Party And Settlement Risk [Member] Counter Party And Settlement Risk [Member] Covenant Lite Loans Risk [Member] Credit Risks [Member] Currency Risk [Member] Currency Risk [Member] Cybersecurity Risk [Member] Debt Securities Risk [Member] Decline In Net Asset Value Risk [Member] Default Risk [Member] Derivatives Risk [Member] Diminished Voting Power And Excess Cash Risk [Member] Duration Mismatch Risk [Member] Duration Risk [Member] Early Redemption Risk [Member] Emerging Markets Risk [Member] Equity Securities Risk [Member] Facility [Member] Fixed Income Securities Risk [Member] Foreign Securities Risk [Member] Forward Currency Exchange Contracts Risk [Member] Futures And Forward Contracts Risk [Member] General Derivative Risk [Member] General Risk [Member] General Risk [Member] Geographic Concentration Risks [Member] Geographic Focus Risk [Member] High Yield Securities Risk [Member] Inflation Risk [Member] Inflation Risks [Member] Inflation Risks [Member] Inflation Risk [Member] Interest Rate Risks 1 [Member] Interest Rate Risk [Member] Interest Rate Risks [Member] Interest Rate Transactions Risk [Member] Investing In Real Estate Investment Trusts Risk Reit [Member] REIT Risk [Member] Leverage Risk (for all Funds except CPZ) [Member] Leverage Risk (for all Funds except CPZ) [Member] Leverage Risk (CPZ) [Member] Leverage Risk (CPZ) [Member] Leverage Risk [Member] Limited Term Risk [Member] Liquidity Risk [Member] Loan [Member] Loan Risk [Member] Management Risk [Member] Mandatory Redeemable Preferred Shares [Member] Mandatory Redeemable Preferred Shares Series B [Member] Mandatory Redeemable Preferred Shares. MRPS-Series C [Member] Mandatory Redeemable Preferred Shares Series C [Member] Mandatory Redeemable Preferred Shares Series C [Member] MRPS-Series C [Member] Mandatory Redeemable Preferred Shares Series D [Member] Mandatory Redeemable Preferred Shares Series D [Member] MRPS-Series D [Member] Mandatory Redeemable Preferred Shares Series E [Member] Mandatory Redeemable Preferred Shares Series E [Member] MRPS-Series E [Member] Mandatory Redeemable Preferred Shares Series G [Member] Mandatory Redeemable Preferred Shares Series G [Member] MRPS-Series G [Member] Market Discount Risk [Member] Market Discount Risk 1 Member Market Discount Risk [Member] Market Disruption Risk [Member] Market Impact Risk [Member] Master Limited Partnerships Risk [Member] Maturity Risk [Member] Non Convertible Income Securities Risk Member Non-Convertible Income Securities Risk [Member] Non-US Government Obligation Risk [Member] Non United States Government Obligation Risk [Member] Non United States Government Obligation Risk [Member] Notes 2035 [Member] Other Investment Companies (including ETFs) Risk [Member] Other Investment Companies Including Exchange Traded Fund Risk Member Other Investment Companies Including Exchange Traded Fund Risk Member Portfolio Level Risks [Member] Portfolio Selection Risk [Member] Portfolio Turnover Risk [Member] Preferred Share Liquidation Preference Risk [Member] Preferred Shares [Member] Preferred Shares [Member] Ratings And Asset Coverage Risk [Member] Recent Market Events Risk [Member] Reduction Of Leverage Risk [Member] Regulatory Risk [Member] Risks Associated with Options (All Funds Except CPZ) [Member] Risks Associated with Options (CPZ) [Member] Risks Associated With Options Cpz Member Risks Associated With Options [Member] Risks Associated with Options [Member] Rule 144A Securities Risk [Member] Rule 144 Securities Risk Member Secondary Market Risk [Member] Sector Risk [Member] Secured Overnight Financing Rate Risk [Member] Secured Overnight Financing Rate Risk [Member] SOFR Risk [Member] Senior Leverage Risk [Member] Series A Term Preferred Stock Due 2025 [Member] Short Selling Risk [Member] Synthetic Convertible Instruments Risk [Member] Tax Risk [Member] United States Government Security Risk Member U.S. Government Security Risk [Member] Volatility Risk [Member] Class of Stock [Domain] Debt Instrument Name [Domain]