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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) (Detail) - USD ($)
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Investment Holdings [Line Items]      
% of Partners' Capital 35.10% 12.30%  
Fair Value [1] $ 10,478,871 $ 5,132,400  
Income (Loss) 1,559,616 (820,027) $ 502,983
Expenses, Clearing Fees 169,977 212,968 244,910
Expenses, Professional fees 331,300 420,665 422,957
Net Income (Loss) $ (235,448) $ (3,775,361) $ (4,367,857)
SECOR Master Fund L.P. [Member]      
Investment Holdings [Line Items]      
% of Partners' Capital 18.00% 11.43%  
Fair Value $ 5,373,355 $ 4,770,275  
Cambridge Master Fund L.P. [Member]      
Investment Holdings [Line Items]      
% of Partners' Capital   0.87%  
Fair Value   $ 362,125  
CMF Harbour Square Master Fund LLC [Member]      
Investment Holdings [Line Items]      
% of Partners' Capital 8.39%    
Fair Value $ 2,505,301    
CMF AE Capital Master Fund LLC [Member]      
Investment Holdings [Line Items]      
% of Partners' Capital 8.71%    
Fair Value $ 2,600,215    
Investment in Funds [Member]      
Investment Holdings [Line Items]      
Income (Loss) 1,609,357 484,802  
Expenses, Clearing Fees 192,084 182,791  
Expenses, Professional fees 53,163 33,136  
Net Income (Loss) 1,364,110 268,875  
Investment in Funds [Member] | Commodity [Member] | SECOR Master Fund L.P. [Member]      
Investment Holdings [Line Items]      
Income (Loss) 1,549,537 (374,306)  
Expenses, Clearing Fees 121,023 165,557  
Expenses, Professional fees 12,908 24,321  
Net Income (Loss) $ 1,415,606 $ (564,184)  
Investment Objective Commodity Portfolio Commodity Portfolio  
Redemptions Permitted Monthly Monthly  
Investment in Funds [Member] | Commodity [Member] | Cambridge Master Fund L.P. [Member]      
Investment Holdings [Line Items]      
Income (Loss) $ (41,066) $ 870,647  
Expenses, Clearing Fees 2,668 16,622  
Expenses, Professional fees 1,831 8,753  
Net Income (Loss) $ (45,565) $ 845,272  
Investment Objective Commodity Portfolio Commodity Portfolio  
Redemptions Permitted Monthly Monthly  
Investment in Funds [Member] | Commodity [Member] | CMF Willowbridge Master Fund L.P. [Member]      
Investment Holdings [Line Items]      
Income (Loss)   $ (11,539)  
Expenses, Clearing Fees   612  
Expenses, Professional fees   62  
Net Income (Loss)   $ (12,213)  
Investment Objective   Commodity Portfolio  
Redemptions Permitted   Monthly  
Investment in Funds [Member] | Commodity [Member] | CMF Harbour Square Master Fund LLC [Member]      
Investment Holdings [Line Items]      
Income (Loss) $ 275,727    
Expenses, Clearing Fees 43,893    
Expenses, Professional fees 26,628    
Net Income (Loss) $ 205,206    
Investment Objective Commodity Portfolio    
Redemptions Permitted Monthly    
Investment in Funds [Member] | Commodity [Member] | CMF AE Capital Master Fund LLC [Member]      
Investment Holdings [Line Items]      
Income (Loss) $ (174,841)    
Expenses, Clearing Fees 24,500    
Expenses, Professional fees 11,796    
Net Income (Loss) $ (211,137)    
Investment Objective Commodity Portfolio    
Redemptions Permitted Monthly    
[1] Defined in Note 1.