Unaudited Consolidated Statements of Changes in Members' Capital - USD ($)	3 Months Ended						9 Months Ended
	Sep. 30, 2021	Jun. 30, 2021	Mar. 31, 2021	Sep. 30, 2020	Jun. 30, 2020	Mar. 31, 2020	Sep. 30, 2021	Sep. 30, 2020
Members' capital, beginning balance	$ 29,847,320	$ 29,997,832	$ 28,992,857	$ 27,270,731	$ 27,677,400	$ 27,344,100	$ 28,992,857	$ 27,344,100
Subscriptions	0	0	0	0	0	0
Redemptions	(359,539)	(466,841)	(381,569)	(226,123)	(428,802)	(970,453)
Net income (loss)	(652,441)	316,329	1,386,544	1,482,746	22,133	1,303,753	1,050,432	2,808,632
Members' capital, ending balance	28,835,340	29,847,320	29,997,832	28,527,354	27,270,731	27,677,400	28,835,340	28,527,354
Class 0 Units [Member]
Members' capital, beginning balance	$ 18,738,967	$ 18,535,121	$ 17,813,986	$ 16,722,873	$ 16,917,644	$ 16,605,529	$ 17,813,986	$ 16,605,529
Members' capital, beginning balance (in units)	102,155.320	102,155.320	102,935.438	104,817.807	106,189.149	109,215.865	102,935.438	109,215.865
Subscriptions	$ 0	$ 0	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0	0	0
Redemptions	$ (37,216)	$ 0	$ (141,545)	$ 0	$ (218,495)	$ (461,116)
Redemptions (in units)	(208.364)	0	(780.118)	0	(1,371.342)	(3,026.716)
Net income (loss)	$ (393,945)	$ 203,846	$ 862,680	$ 854,497	$ 23,724	$ 773,231
Members' capital, ending balance	$ 18,307,806	$ 18,738,967	$ 18,535,121	$ 17,577,370	$ 16,722,873	$ 16,917,644	$ 18,307,806	$ 17,577,370
Members' capital, ending balance (in units)	101,946.956	102,155.320	102,155.320	104,817.807	104,817.807	106,189.149	101,946.956	104,817.807
Class 2 Units [Member]
Members' capital, beginning balance	$ 11,108,353	$ 11,462,711	$ 11,178,871	$ 10,547,858	$ 10,759,756	$ 10,738,571	$ 11,178,871	$ 10,738,571
Members' capital, beginning balance (in units)	84,614.405	88,141.061	89,986.690	92,702.264	94,555.617	99,110.353	89,986.690	99,110.353
Subscriptions	$ 0	$ 0	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0	0	0
Redemptions	$ (322,323)	$ (466,841)	$ (240,024)	$ (226,123)	$ (210,307)	$ (509,337)
Redemptions (in units)	(2,547.784)	(3,526.656)	(1,845.629)	(1,876.104)	(1,853.353)	(4,554.736)
Net income (loss)	$ (258,496)	$ 112,483	$ 523,864	$ 628,249	$ (1,591)	$ 530,522
Members' capital, ending balance	$ 10,527,534	$ 11,108,353	$ 11,462,711	$ 10,949,984	$ 10,547,858	$ 10,759,756	$ 10,527,534	$ 10,949,984
Members' capital, ending balance (in units)	82,066.621	84,614.405	88,141.061	90,826.160	92,702.264	94,555.617	82,066.621	90,826.160