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Unaudited Consolidated Statements of Changes in Members' Capital - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2024
Jun. 30, 2024
Mar. 31, 2024
Sep. 30, 2023
Jun. 30, 2023
Mar. 31, 2023
Sep. 30, 2024
Sep. 30, 2023
Jun. 01, 2024
Members' capital, beginning balance $ 35,215,671 $ 35,730,832 $ 34,006,661 $ 34,812,266 $ 31,666,813 $ 32,163,920 $ 34,006,661 $ 32,163,920  
Initial subscription                 $ 60,000
Subscriptions 1,600,000 394,000 338,000 245,000 2,709,000 490,000      
Redemptions (298,686) (591,195) (1,578,736) (550,361) (282,200) (171,935)      
Net (loss) income (1,672,003) (377,966) 2,964,907 2,432,874 718,653 (815,172) 914,938 2,336,355  
Members' capital, ending balance 34,844,982 35,215,671 35,730,832 36,939,779 34,812,266 31,666,813 34,844,982 36,939,779  
Class 0 Units [Member]                  
Members' capital, beginning balance $ 23,586,378 $ 23,985,533 $ 23,334,356 $ 23,288,308 $ 20,289,015 $ 20,440,792 $ 23,334,356 $ 20,440,792  
Members' capital, beginning balance (in units) 97,514.104 98,173.943 104,021.942 103,994.084 92,555.866 91,015.472 104,021.942 91,015.472  
Initial subscription                 $ 0
Initial subscription (in units)                 0
Subscriptions $ 65,000 $ 265,000 $ 15,000 $ 245,000 $ 2,709,000 $ 490,000      
Subscriptions (in units) 276.594 1,082.763 66.867 1,085.129 12,363.025 2,107.202      
Redemptions $ (285,336) $ (423,306) $ (1,380,061) $ (313,975) $ (205,476) $ (127,115)      
Redemptions (in units) (1,218.048) (1,742.602) (5,914.866) (1,345.69) (924.807) (566.808)      
Net (loss) income $ (1,094,816) $ (240,849) $ 2,016,238 $ 1,629,521 $ 495,769 $ (514,662)      
Members' capital, ending balance $ 22,271,226 $ 23,586,378 $ 23,985,533 $ 24,848,854 $ 23,288,308 $ 20,289,015 $ 22,271,226 $ 24,848,854  
Members' capital, ending balance (in units) 96,572.65 97,514.104 98,173.943 103,733.523 103,994.084 92,555.866 96,572.65 103,733.523  
Class 2 Units [Member]                  
Members' capital, beginning balance $ 11,569,146 $ 11,745,299 $ 10,672,305 $ 11,523,958 $ 11,377,798 $ 11,723,128 $ 10,672,305 $ 11,723,128  
Members' capital, beginning balance (in units) 68,030.813 68,249.304 67,462.982 72,859.501 73,350.181 73,630.241 67,462.982 73,630.241  
Initial subscription                 $ 0
Initial subscription (in units)                 0
Subscriptions $ 175,000 $ 129,000 $ 323,000 $ 0 $ 0 $ 0      
Subscriptions (in units) 1,051.55 754.814 2,005.123 0 0 0      
Redemptions $ (13,350) $ (167,889) $ (198,675) $ (236,386) $ (76,724) $ (44,820)      
Redemptions (in units) (82.49) (973.305) (1,218.801) (1,421.744) (490.68) (280.06)      
Net (loss) income $ (564,229) $ (137,264) $ 948,669 $ 803,353 $ 222,884 $ (300,510)      
Members' capital, ending balance $ 11,166,567 $ 11,569,146 $ 11,745,299 $ 12,090,925 $ 11,523,958 $ 11,377,798 $ 11,166,567 $ 12,090,925  
Members' capital, ending balance (in units) 68,999.873 68,030.813 68,249.304 71,437.757 72,859.501 73,350.181 68,999.873 71,437.757  
Class 3-B Units [Member]                  
Members' capital, beginning balance $ 60,147 $ 0 $ 0       $ 0    
Members' capital, beginning balance (in units) 609.685 0 0       0    
Initial subscription                 $ 60,000
Initial subscription (in units)                 609.685
Subscriptions $ 1,360,000 $ 0 $ 0            
Subscriptions (in units) 14,350.789 0 0            
Redemptions $ 0 $ 0 $ 0            
Redemptions (in units) 0 0 0            
Net (loss) income $ (12,958) $ 147 $ 0            
Members' capital, ending balance $ 1,407,189 $ 60,147 $ 0       $ 1,407,189    
Members' capital, ending balance (in units) 14,960.474 609.685 0       14,960.474