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Unaudited Consolidated Statements of Changes in Members' Capital - USD ($)
3 Months Ended 6 Months Ended
Jun. 30, 2024
Mar. 31, 2024
Jun. 30, 2023
Mar. 31, 2023
Jun. 30, 2024
Jun. 30, 2023
Jun. 01, 2024
Members' capital, beginning balance $ 35,730,832 $ 34,006,661 $ 31,666,813 $ 32,163,920 $ 34,006,661 $ 32,163,920  
Initial subscription             $ 60,000
Subscriptions 394,000 338,000 2,709,000 490,000      
Redemptions (591,195) (1,578,736) (282,200) (171,935)      
Net (loss) income (377,966) 2,964,907 718,653 (815,172) 2,586,941 (96,519)  
Members' capital, ending balance 35,215,671 35,730,832 34,812,266 31,666,813 35,215,671 34,812,266  
Class 0 Units [Member]              
Members' capital, beginning balance $ 23,985,533 $ 23,334,356 $ 20,289,015 $ 20,440,792 $ 23,334,356 $ 20,440,792  
Members' capital, beginning balance (in units) 98,173.943 104,021.942 92,555.866 91,015.472 104,021.942 91,015.472  
Initial subscription             $ 0
Initial subscription (in units)             0
Subscriptions $ 265,000 $ 15,000 $ 2,709,000 $ 490,000      
Subscriptions (in units) 1,082.763 66.867 12,363.025 2,107.202      
Redemptions $ (423,306) $ (1,380,061) $ (205,476) $ (127,115)      
Redemptions (in units) (1,742.602) (5,914.866) (924.807) (566.808)      
Net (loss) income $ (240,849) $ 2,016,238 $ 495,769 $ (514,662)      
Members' capital, ending balance $ 23,586,378 $ 23,985,533 $ 23,288,308 $ 20,289,015 $ 23,586,378 $ 23,288,308  
Members' capital, ending balance (in units) 97,514.104 98,173.943 103,994.084 92,555.866 97,514.104 103,994.084  
Class 2 Units [Member]              
Members' capital, beginning balance $ 11,745,299 $ 10,672,305 $ 11,377,798 $ 11,723,128 $ 10,672,305 $ 11,723,128  
Members' capital, beginning balance (in units) 68,249.304 67,462.982 73,350.181 73,630.241 67,462.982 73,630.241  
Initial subscription             $ 0
Initial subscription (in units)             0
Subscriptions $ 129,000 $ 323,000 $ 0 $ 0      
Subscriptions (in units) 754.814 2,005.123 0 0      
Redemptions $ (167,889) $ (198,675) $ (76,724) $ (44,820)      
Redemptions (in units) (973.305) (1,218.801) (490.68) (280.06)      
Net (loss) income $ (137,264) $ 948,669 $ 222,884 $ (300,510)      
Members' capital, ending balance $ 11,569,146 $ 11,745,299 $ 11,523,958 $ 11,377,798 $ 11,569,146 $ 11,523,958  
Members' capital, ending balance (in units) 68,030.813 68,249.304 72,859.501 73,350.181 68,030.813 72,859.501  
Class 3-B Units [Member]              
Members' capital, beginning balance $ 0 $ 0     $ 0    
Members' capital, beginning balance (in units) 0 0     0    
Initial subscription             $ 60,000
Initial subscription (in units)             609.685
Subscriptions $ 0 $ 0          
Subscriptions (in units) 0 0          
Redemptions $ 0 $ 0          
Redemptions (in units) 0 0          
Net (loss) income $ 147 $ 0          
Members' capital, ending balance $ 60,147 $ 0     $ 60,147    
Members' capital, ending balance (in units) 609.685 0     609.685