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Consolidated Statements of Changes in Members' Capital - USD ($)
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning balance $ 28,992,857 $ 27,344,100
Subscriptions 0 0
Redemptions (1,330,958) (2,042,619)
Net income 500,804 3,691,376
Members' capital, ending balance 28,162,703 28,992,857
Class 0 Units [Member]    
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning balance $ 17,813,986 $ 16,605,529
Members' capital, beginning balance (in units) 102,935.438 109,215.865
Subscriptions $ 0 $ 0
Subscriptions (in units) 0 0
Redemptions $ (178,761) $ (993,465)
Redemptions (in units) (988.482) (6,280.427)
Net income $ 335,331 $ 2,201,922
Members' capital, ending balance $ 17,970,556 $ 17,813,986
Members' capital, ending balance (in units) 101,946.956 102,935.438
Class 2 Units [Member]    
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning balance $ 11,178,871 $ 10,738,571
Members' capital, beginning balance (in units) 89,986.690 99,110.353
Subscriptions $ 0 $ 0
Subscriptions (in units) 0 0
Redemptions $ (1,152,197) $ (1,049,154)
Redemptions (in units) (8,890.028) (9,123.663)
Net income $ 165,473 $ 1,489,454
Members' capital, ending balance $ 10,192,147 $ 11,178,871
Members' capital, ending balance (in units) 81,096.662 89,986.690