Unaudited Consolidated Statements of Changes in Members' Capital - USD ($)	3 Months Ended				6 Months Ended
	Jun. 30, 2021	Mar. 31, 2021	Jun. 30, 2020	Mar. 31, 2020	Jun. 30, 2021	Jun. 30, 2020
Members' capital, beginning balance	$ 29,997,832	$ 28,992,857	$ 27,677,400	$ 27,344,100	$ 28,992,857	$ 27,344,100
Subscriptions	0	0	0	0
Redemptions	(466,841)	(381,569)	(428,802)	(970,453)
Net income (loss)	316,329	1,386,544	22,133	1,303,753	1,702,873	1,325,886
Members' capital, ending balance	29,847,320	29,997,832	27,270,731	27,677,400	29,847,320	27,270,731
Class 0 Units [Member]
Members' capital, beginning balance	$ 18,535,121	$ 17,813,986	$ 16,917,644	$ 16,605,529	$ 17,813,986	$ 16,605,529
Members' capital, beginning balance (in units)	102,155.320	102,935.438	106,189.149	109,215.865	102,935.438	109,215.865
Subscriptions	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0
Redemptions	$ 0	$ (141,545)	$ (218,495)	$ (461,116)
Redemptions (in units)	0	(780.118)	(1,371.342)	(3,026.716)
Net income (loss)	$ 203,846	$ 862,680	$ 23,724	$ 773,231
Members' capital, ending balance	$ 18,738,967	$ 18,535,121	$ 16,722,873	$ 16,917,644	$ 18,738,967	$ 16,722,873
Members' capital, ending balance (in units)	102,155.320	102,155.320	104,817.807	106,189.149	102,155.320	104,817.807
Class 2 Units [Member]
Members' capital, beginning balance	$ 11,462,711	$ 11,178,871	$ 10,759,756	$ 10,738,571	$ 11,178,871	$ 10,738,571
Members' capital, beginning balance (in units)	88,141.061	89,986.690	94,555.617	99,110.353	89,986.690	99,110.353
Subscriptions	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0
Redemptions	$ (466,841)	$ (240,024)	$ (210,307)	$ (509,337)
Redemptions (in units)	(3,526.656)	(1,845.629)	(1,853.353)	(4,554.736)
Net income (loss)	$ 112,483	$ 523,864	$ (1,591)	$ 530,522
Members' capital, ending balance	$ 11,108,353	$ 11,462,711	$ 10,547,858	$ 10,759,756	$ 11,108,353	$ 10,547,858
Members' capital, ending balance (in units)	84,614.405	88,141.061	92,702.264	94,555.617	84,614.405	92,702.264