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Consolidated Statements of Changes in Members' Capital - USD ($)
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning balance $ 28,162,703 $ 28,992,857
Subscriptions 0 0
Redemptions (3,559,248) (1,330,958)
Net income 7,560,465 500,804
Members' capital, ending balance 32,163,920 28,162,703
Class 0 Units [Member]    
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning balance $ 17,970,556 $ 17,813,986
Members' capital, beginning balance (in units) 101,946.956 102,935.438
Subscriptions $ 0 $ 0
Subscriptions (in units) 0 0
Redemptions $ (2,369,718) $ (178,761)
Redemptions (in units) (10,931.484) (988.482)
Net income $ 4,839,954 $ 335,331
Members' capital, ending balance $ 20,440,792 $ 17,970,556
Members' capital, ending balance (in units) 91,015.472 101,946.956
Class 2 Units [Member]    
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning balance $ 10,192,147 $ 11,178,871
Members' capital, beginning balance (in units) 81,096.662 89,986.69
Subscriptions $ 0 $ 0
Subscriptions (in units) 0 0
Redemptions $ (1,189,530) $ (1,152,197)
Redemptions (in units) (7,466.421) (8,890.028)
Net income $ 2,720,511 $ 165,473
Members' capital, ending balance $ 11,723,128 $ 10,192,147
Members' capital, ending balance (in units) 73,630.241 81,096.662