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Unaudited 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
May 01, 2024
Increase (Decrease) in Partners' Capital [Roll Forward]                    
Members' capital, beginning balance $ 27,934,497 $ 29,448,789 $ 28,558,890 $ 29,114,521 $ 28,158,121 $ 28,825,841 $ 28,558,890 $ 28,825,841    
Initial subscription                 $ 75,000 $ 75,000
Subscriptions 1,810,000 215,000 232,000 540,000 405,000 125,000        
Redemptions (285,594) (1,581,488) (1,828,231) (1,489,999) (40,000) (75,000)        
Net income (loss) (1,372,475) (297,804) 2,486,130 2,012,025 591,400 (717,720) 815,851 1,885,705    
Members' capital, ending balance 28,086,428 27,934,497 29,448,789 30,176,547 29,114,521 28,158,121 28,086,428 30,176,547    
Class 0 Units [Member]                    
Increase (Decrease) in Partners' Capital [Roll Forward]                    
Members' capital, beginning balance $ 17,595,324 $ 18,080,567 $ 16,577,918 $ 15,987,381 $ 15,284,180 $ 15,735,969 $ 16,577,918 $ 15,735,969    
Members' capital, beginning balance (in units) 72,745.123 74,004.699 73,902.569 71,391.814 69,724.514 70,066.654 73,902.569 70,066.654    
Initial subscription                 $ 0 $ 0
Initial subscription (in units)                 0 0
Subscriptions $ 280,000 $ 75,000 $ 232,000 $ 540,000 $ 405,000 $ 0        
Subscriptions (in units) 1,157.615 309.264 1,010.592 2,386.602 1,845.92 0        
Redemptions $ (110,000) $ (382,552) $ (217,432) $ (507,869) $ (40,000) $ (75,000)        
Redemptions (in units) (476.07) (1,568.84) (908.462) (2,184.972) (178.62) (342.14)        
Net income (loss) $ (831,955) $ (177,691) $ 1,488,081 $ 1,130,328 $ 338,201 $ (376,789)        
Members' capital, ending balance $ 16,933,369 $ 17,595,324 $ 18,080,567 $ 17,149,840 $ 15,987,381 $ 15,284,180 $ 16,933,369 $ 17,149,840    
Members' capital, ending balance (in units) 73,426.668 72,745.123 74,004.699 71,593.444 71,391.814 69,724.514 73,426.668 71,593.444    
Class 2 Units [Member]                    
Increase (Decrease) in Partners' Capital [Roll Forward]                    
Members' capital, beginning balance $ 10,099,790 $ 11,368,222 $ 11,980,972 $ 13,127,140 $ 12,873,941 $ 13,089,872 $ 11,980,972 $ 13,089,872    
Members' capital, beginning balance (in units) 59,390.262 66,057.976 75,735.249 82,995.282 82,995.282 82,214.218 75,735.249 82,214.218    
Initial subscription                 $ 0 $ 0
Initial subscription (in units)                 0 0
Subscriptions $ 100,000 $ 50,000 $ 0 $ 0 $ 0 $ 125,000        
Subscriptions (in units) 601.918 292.548 0 0 0 781.064        
Redemptions $ (175,594) $ (1,198,936) $ (1,610,799) $ (982,130) $ 0 $ 0        
Redemptions (in units) (1,068.016) (6,960.262) (9,677.273) (6,028.812) 0 0        
Net income (loss) $ (488,196) $ (119,496) $ 998,049 $ 881,697 $ 253,199 $ (340,931)        
Members' capital, ending balance $ 9,536,000 $ 10,099,790 $ 11,368,222 $ 13,026,707 $ 13,127,140 $ 12,873,941 $ 9,536,000 $ 13,026,707    
Members' capital, ending balance (in units) 58,924.164 59,390.262 66,057.976 76,966.47 82,995.282 82,995.282 58,924.164 76,966.47    
Class 3-A Units [Member]                    
Increase (Decrease) in Partners' Capital [Roll Forward]                    
Members' capital, beginning balance $ 75,172 $ 0 $ 0       $ 0      
Members' capital, beginning balance (in units) 750 0 0       0      
Initial subscription                 $ 75,000 $ 0
Initial subscription (in units)                 750 0
Subscriptions $ 340,000 $ 0 $ 0              
Subscriptions (in units) 3,392.221 0 0              
Redemptions $ 0 $ 0 $ 0              
Redemptions (in units) 0 0 0              
Net income (loss) $ (18,829) $ 172 $ 0              
Members' capital, ending balance $ 396,343 $ 75,172 $ 0       $ 396,343      
Members' capital, ending balance (in units) 4,142.221 750 0       4,142.221      
Class 3-B Units [Member]                    
Increase (Decrease) in Partners' Capital [Roll Forward]                    
Members' capital, beginning balance $ 164,211 $ 0 $ 0       $ 0      
Members' capital, beginning balance (in units) 1,664.527 0 0       0      
Initial subscription                 $ 0 $ 75,000
Initial subscription (in units)                 0 750
Subscriptions $ 1,090,000 $ 90,000 $ 0              
Subscriptions (in units) 11,313.462 914.527 0              
Redemptions $ 0 $ 0 $ 0              
Redemptions (in units) 0 0 0              
Net income (loss) $ (33,495) $ (789) $ 0              
Members' capital, ending balance $ 1,220,716 $ 164,211 $ 0       $ 1,220,716      
Members' capital, ending balance (in units) 12,977.989 1,664.527 0       12,977.989