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Consolidated Statements of Changes in Members' Capital - USD ($)
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning balance $ 32,163,920 $ 28,162,703
Subscriptions 3,674,000 0
Redemptions (1,799,764) (3,559,248)
Net income (loss) (31,495) 7,560,465
Members' capital, ending balance 34,006,661 32,163,920
Class 0 Units [Member]    
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning balance $ 20,440,792 $ 17,970,556
Members' capital, beginning balance (in units) 91,015.472 101,946.956
Subscriptions $ 3,594,000 $ 0
Subscriptions (in units) 16,196.564 0
Redemptions $ (730,972) $ (2,369,718)
Redemptions (in units) (3,190.094) (10,931.484)
Net income (loss) $ 30,536 $ 4,839,954
Members' capital, ending balance $ 23,334,356 $ 20,440,792
Members' capital, ending balance (in units) 104,021.942 91,015.472
Class 2 Units [Member]    
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning balance $ 11,723,128 $ 10,192,147
Members' capital, beginning balance (in units) 73,630.241 81,096.662
Subscriptions $ 80,000 $ 0
Subscriptions (in units) 477.699 0
Redemptions $ (1,068,792) $ (1,189,530)
Redemptions (in units) (6,644.958) (7,466.421)
Net income (loss) $ (62,031) $ 2,720,511
Members' capital, ending balance $ 10,672,305 $ 11,723,128
Members' capital, ending balance (in units) 67,462.982 73,630.241