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Fees and Related Party Transactions (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Advisory Fees [Abstract]        
Advisory fees $ 107,454 $ 114,334 $ 325,089 $ 328,766
Sponsor Fees [Abstract]        
Sponsor fees 52,292 63,216 $ 167,016 183,473
Incentive Allocation [Abstract]        
Percentage of incentive allocation     20.00%  
Incentive allocation 0 301,888 $ 141,677 302,450
Administrator's Fee [Abstract]        
Administrator's fee 8,737 9,622 26,749 27,862
Professional Fees [Abstract]        
Professional fees 28,489 47,782 132,284 121,167
Operating Expenses [Abstract]        
Operating expenses $ 4,374 $ 4,437 $ 13,711 13,710
Class 0 Units [Member]        
Advisory Fees [Abstract]        
Advisory fees at annual rate of Members' Capital     1.50%  
Sponsor Fees [Abstract]        
Sponsor fees at annual rate of Members' Capital     0.50%  
Class 2 Units [Member]        
Advisory Fees [Abstract]        
Advisory fees at annual rate of Members' Capital     1.50%  
Sponsor Fees [Abstract]        
Sponsor fees at annual rate of Members' Capital     1.25%  
Class 3-A Units [Member]        
Advisory Fees [Abstract]        
Advisory fees at annual rate of Members' Capital     1.50%  
Sponsor Fees [Abstract]        
Sponsor fees     $ 0  
Class 3-B Units [Member]        
Advisory Fees [Abstract]        
Advisory fees at annual rate of Members' Capital     2.00%  
Sponsor Fees [Abstract]        
Sponsor fees       0
Class 0, 2, 3-A, and 3-B Units [Member]        
Advisory Fees [Abstract]        
Advisory fees     $ 325,089 328,766
Class 0 and 2 [Member]        
Sponsor Fees [Abstract]        
Sponsor fees     $ 167,016 $ 183,473