Unaudited Consolidated Statements of Changes in Members' Capital - USD ($)	3 Months Ended				6 Months Ended
	Jun. 30, 2023	Mar. 31, 2023	Jun. 30, 2022	Mar. 31, 2022	Jun. 30, 2023	Jun. 30, 2022
Members' capital, beginning balance	$ 31,666,813	$ 32,163,920	$ 32,024,394	$ 28,162,703	$ 32,163,920	$ 28,162,703
Subscriptions	2,709,000	490,000	0	0
Redemptions	(282,200)	(171,935)	(1,739,085)	(37,440)
Net income (loss)	718,653	(815,172)	2,693,286	3,899,131	(96,519)	6,592,417
Members' capital, ending balance	34,812,266	31,666,813	32,978,595	32,024,394	34,812,266	32,978,595
Class 0 Units [Member]
Members' capital, beginning balance	$ 20,289,015	$ 20,440,792	$ 20,465,525	$ 17,970,556	$ 20,440,792	$ 17,970,556
Members' capital, beginning balance (in units)	92,555.866	91,015.472	101,946.956	101,946.956	91,015.472	101,946.956
Subscriptions	$ 2,709,000	$ 490,000	$ 0	$ 0
Subscriptions (in units)	12,363.025	2,107.202	0	0
Redemptions	$ (205,476)	$ (127,115)	$ (1,739,085)	$ 0
Redemptions (in units)	(924.807)	(566.808)	(8,134.029)	0
Net income (loss)	$ 495,769	$ (514,662)	$ 1,721,157	$ 2,494,969
Members' capital, ending balance	$ 23,288,308	$ 20,289,015	$ 20,447,597	$ 20,465,525	$ 23,288,308	$ 20,447,597
Members' capital, ending balance (in units)	103,994.084	92,555.866	93,812.927	101,946.956	103,994.084	93,812.927
Class 2 Units [Member]
Members' capital, beginning balance	$ 11,377,798	$ 11,723,128	$ 11,558,869	$ 10,192,147	$ 11,723,128	$ 10,192,147
Members' capital, beginning balance (in units)	73,350.181	73,630.241	80,819.282	81,096.662	73,630.241	81,096.662
Subscriptions	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0
Redemptions	$ (76,724)	$ (44,820)	$ 0	$ (37,440)
Redemptions (in units)	(490.68)	(280.06)	0	(277.38)
Net income (loss)	$ 222,884	$ (300,510)	$ 972,129	$ 1,404,162
Members' capital, ending balance	$ 11,523,958	$ 11,377,798	$ 12,530,998	$ 11,558,869	$ 11,523,958	$ 12,530,998
Members' capital, ending balance (in units)	72,859.501	73,350.181	80,819.282	80,819.282	72,859.501	80,819.282