Unaudited Consolidated Statements of Changes in Members' Capital - USD ($)	3 Months Ended						9 Months Ended
	Sep. 30, 2022	Jun. 30, 2022	Mar. 31, 2022	Sep. 30, 2021	Jun. 30, 2021	Mar. 31, 2021	Sep. 30, 2022	Sep. 30, 2021
Members' capital, beginning balance	$ 32,978,595	$ 32,024,394	$ 28,162,703	$ 29,847,320	$ 29,997,832	$ 28,992,857	$ 28,162,703	$ 28,992,857
Subscriptions	0	0	0	0	0	0
Redemptions	(457,366)	(1,739,085)	(37,440)	(359,539)	(466,841)	(381,569)
Net income (loss)	1,794,343	2,693,286	3,899,131	(652,441)	316,329	1,386,544	8,386,760	1,050,432
Members' capital, ending balance	34,315,572	32,978,595	32,024,394	28,835,340	29,847,320	29,997,832	34,315,572	28,835,340
Class 0 Units [Member]
Members' capital, beginning balance	$ 20,447,597	$ 20,465,525	$ 17,970,556	$ 18,738,967	$ 18,535,121	$ 17,813,986	$ 17,970,556	$ 17,813,986
Members' capital, beginning balance (in units)	93,812.927	101,946.956	101,946.956	102,155.32	102,155.32	102,935.438	101,946.956	102,935.438
Subscriptions	$ 0	$ 0	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0	0	0
Redemptions	$ (249,815)	$ (1,739,085)	$ 0	$ (37,216)	$ 0	$ (141,545)
Redemptions (in units)	(1,148.644)	(8,134.029)	0	(208.364)	0	(780.118)
Net income (loss)	$ 1,119,546	$ 1,721,157	$ 2,494,969	$ (393,945)	$ 203,846	$ 862,680
Members' capital, ending balance	$ 21,317,328	$ 20,447,597	$ 20,465,525	$ 18,307,806	$ 18,738,967	$ 18,535,121	$ 21,317,328	$ 18,307,806
Members' capital, ending balance (in units)	92,664.283	93,812.927	101,946.956	101,946.956	102,155.32	102,155.32	92,664.283	101,946.956
Class 2 Units [Member]
Members' capital, beginning balance	$ 12,530,998	$ 11,558,869	$ 10,192,147	$ 11,108,353	$ 11,462,711	$ 11,178,871	$ 10,192,147	$ 11,178,871
Members' capital, beginning balance (in units)	80,819.282	80,819.282	81,096.662	84,614.405	88,141.061	89,986.69	81,096.662	89,986.69
Subscriptions	$ 0	$ 0	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0	0	0
Redemptions	$ (207,551)	$ 0	$ (37,440)	$ (322,323)	$ (466,841)	$ (240,024)
Redemptions (in units)	(1,270.206)	0	(277.38)	(2,547.784)	(3,526.656)	(1,845.629)
Net income (loss)	$ 674,797	$ 972,129	$ 1,404,162	$ (258,496)	$ 112,483	$ 523,864
Members' capital, ending balance	$ 12,998,244	$ 12,530,998	$ 11,558,869	$ 10,527,534	$ 11,108,353	$ 11,462,711	$ 12,998,244	$ 10,527,534
Members' capital, ending balance (in units)	79,549.076	80,819.282	80,819.282	82,066.621	84,614.405	88,141.061	79,549.076	82,066.621