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General - Condensed Schedule of Investments (Detail) (USD $)
Jun. 30, 2013
Dec. 31, 2012
Schedule of Investments [Line Items]    
Investment in Master, at fair value $ 109,551,060 $ 145,802,728
Percentage of Members Capital 7.42% 11.09%
Futures and Exchange-Cleared Swap Contracts Purchased [Member]
   
Schedule of Investments [Line Items]    
Investment in Master, at fair value (63,559,287) (7,554,487)
Percentage of Members Capital (9.22%) (0.90%)
Futures and Exchange-Cleared Swap Contracts Purchased [Member] | Energy [Member]
   
Schedule of Investments [Line Items]    
Number of Contracts 21,335 28,941
Investment in Master, at fair value (63,559,287) (7,554,487)
Percentage of Members Capital (9.22%) (0.90%)
Futures and Exchange-Cleared Swap Contracts Sold [Member]
   
Schedule of Investments [Line Items]    
Investment in Master, at fair value 50,382,940 (22,166,740)
Percentage of Members Capital 7.31% (2.63%)
Futures and Exchange-Cleared Swap Contracts Sold [Member] | Energy [Member]
   
Schedule of Investments [Line Items]    
Number of Contracts 23,408 23,309
Investment in Master, at fair value 50,382,940 (22,166,740)
Percentage of Members Capital 7.31% (2.63%)
Options Purchased [Member]
   
Schedule of Investments [Line Items]    
Investment in Master, at fair value 97,288,719 160,438,693
Percentage of Members Capital 14.12% 19.04%
Options Purchased [Member] | Call Option Energy NYMEX LT Crude Oil [Member] | Call [Member]
   
Schedule of Investments [Line Items]    
Number of Contracts   10,246
Investment in Master, at fair value   85,675,570
Percentage of Members Capital   10.17%
Options Purchased [Member] | Other [Member] | Call [Member]
   
Schedule of Investments [Line Items]    
Number of Contracts   3,838
Investment in Master, at fair value   2,271,899
Percentage of Members Capital   0.27%
Options Purchased [Member] | Other [Member] | Put [Member]
   
Schedule of Investments [Line Items]    
Number of Contracts 6,543 2,549
Investment in Master, at fair value 27,210,920 22,237,564
Percentage of Members Capital 3.95% 2.64%
Options Purchased [Member] | Call options purchased [Member] | Call [Member]
   
Schedule of Investments [Line Items]    
Investment in Master, at fair value 34,677,359 87,947,469
Percentage of Members Capital 5.03% 10.44%
Options Purchased [Member] | Put Option Energy NYMEX LT Crude Oil [Member] | Put [Member]
   
Schedule of Investments [Line Items]    
Number of Contracts 8,314 8,080
Investment in Master, at fair value 35,400,440 50,253,660
Percentage of Members Capital 5.14% 5.96%
Options Purchased [Member] | Put options purchased [Member] | Put [Member]
   
Schedule of Investments [Line Items]    
Investment in Master, at fair value 62,611,360 72,491,224
Percentage of Members Capital 9.09% 8.60%
Options Purchased [Member] | Energy [Member] | Call [Member]
   
Schedule of Investments [Line Items]    
Number of Contracts 14,369  
Investment in Master, at fair value 34,677,359  
Percentage of Members Capital 5.03%  
Options Premium Received [Member]
   
Schedule of Investments [Line Items]    
Investment in Master, at fair value (32,987,494) (37,237,413)
Percentage of Members Capital (4.79%) (4.42%)
Options Premium Received [Member] | Call options premium received [Member] | Call [Member]
   
Schedule of Investments [Line Items]    
Investment in Master, at fair value (11,611,202) (28,666,392)
Percentage of Members Capital (1.69%) (3.40%)
Options Premium Received [Member] | Put options premium received [Member] | Put [Member]
   
Schedule of Investments [Line Items]    
Investment in Master, at fair value (21,376,292) (8,571,021)
Percentage of Members Capital (3.10%) (1.02%)
Options Premium Received [Member] | Energy [Member] | Call options premium received [Member] | Call [Member]
   
Schedule of Investments [Line Items]    
Number of Contracts 15,677 11,030
Investment in Master, at fair value (11,611,202) (28,666,392)
Percentage of Members Capital (1.69%) (3.40%)
Options Premium Received [Member] | Energy [Member] | Put options premium received [Member] | Put [Member]
   
Schedule of Investments [Line Items]    
Number of Contracts 9,515 6,042
Investment in Master, at fair value $ (21,376,292) $ (8,571,021)
Percentage of Members Capital (3.10%) (1.02%)