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Investment in the Funds - Partnership's Investments in, and Partnership's Pro Rata Share of Results of Operations of Funds (Detail) - USD ($)
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Investment Holdings [Line Items]      
% of Partners' Capital 9.43% 99.95%  
Fair Value [1] $ 5,489,732 $ 69,682,811  
Expenses, Clearing Fees 1,312,283 1,859,839 $ 2,389,918
Net income (loss) 1,846,114 $ (5,045,645) $ 6,374,655
MB Master Fund L.P. [Member]      
Investment Holdings [Line Items]      
% of Partners' Capital   99.95%  
Fair Value   $ 69,682,811  
Income (Loss) (951,117) (106,303)  
Net income (loss) $ (898,702) (629,389)  
CMF Harbour Square Master Fund LLC [Member]      
Investment Holdings [Line Items]      
% of Partners' Capital 9.43%    
Fair Value $ 5,489,732    
Income (Loss) 416,882    
Net income (loss) 661,685    
Investment In Funds [Member]      
Investment Holdings [Line Items]      
Fair Value 5,489,732 69,682,811  
Income (Loss) 187,439 564,298  
Expenses, Clearing Fees 246,978 1,216,893  
Expenses, Professional Fees 71,886 56,368  
Net income (loss) (131,425) $ (708,963)  
Investment In Funds [Member] | MB Master Fund L.P. [Member] | Commodity [Member]      
Investment Holdings [Line Items]      
% of Partners' Capital   99.95%  
Fair Value   $ 69,682,811  
Income (Loss) (384,502) 564,298  
Expenses, Clearing Fees 172,975 1,216,893  
Expenses, Professional Fees 30,426 56,368  
Net income (loss) $ (587,903) $ (708,963)  
Investment Objective Commodity Portfolio Commodity Portfolio  
Redemptions Permitted Monthly Monthly  
Investment In Funds [Member] | CMF Harbour Square Master Fund LLC [Member] | Commodity [Member]      
Investment Holdings [Line Items]      
% of Partners' Capital 9.43%    
Fair Value $ 5,489,732    
Income (Loss) 571,941    
Expenses, Clearing Fees 74,003    
Expenses, Professional Fees 41,460    
Net income (loss) $ 456,478    
Investment Objective Commodity Portfolio    
Redemptions Permitted Monthly    
[1] Defined in Note 1.