Financial Highlights - Changes in Net Asset Value Per Unit (Detail)	3 Months Ended		6 Months Ended
	Jun. 30, 2013	Jun. 30, 2012	Jun. 30, 2013	Jun. 30, 2012
Financial Highlights [Line Items]
Net investment income (loss)	(0.60%)	(0.30%)	(0.60%)	(0.40%)
Operating expenses	0.60%	0.40%	0.60%	0.40%
Total return	0.70%	(3.00%)	(6.10%)	(3.20%)
Net realized and unrealized gains (losses)	31.78	(346.64)	(701.26)	(395.72)
Interest income allocated from Master	0.41	0.92	1.42	1.55
Expenses	(41.23)	(53.57)	(80.94)	(109.72)
Increase (decrease) for the period	(9.04)	(399.29)	(780.78)	(503.89)
Net asset value per unit, beginning of period	9,499.57	10,419.54	10,271.31	10,524.14
Net asset value per unit, end of period	9,490.53	10,020.25	9,490.53	10,020.25
Non-managing [Member] | AAA Master Fund LLC [Member]
Financial Highlights [Line Items]
Net realized and unrealized gains (losses)	69.57	(306.31)	(617.92)	(322.86)
Interest income allocated from Master	0.45	0.99	1.59	1.67
Expenses	(1.62)	(0.80)	(2.75)	(1.87)
Increase (decrease) for the period	68.40	(306.12)	(619.08)	(323.06)
Distribution of interest income to feeder funds	(0.45)	(0.99)	(1.59)	(1.67)
Net asset value per unit, beginning of period	9,532.18	10,111.99	10,220.80	10,129.61
Net asset value per unit, end of period	9,600.13	9,804.88	9,600.13	9,804.88
Special Limited Partner [Member]
Financial Highlights [Line Items]
Net investment income (loss)	(3.90%)	(3.70%)	(4.00%)	(3.70%)
Allocation to Special Limited Partner
Net investment income (loss) before allocation to Special Limited Partner	(3.90%)	(3.70%)	(4.00%)	(3.70%)
Operating expenses	4.00%	3.70%	4.00%	3.70%
Allocation to Special Limited Partner
Total expenses and allocation to Special Limited Partner	4.00%	3.70%	4.00%	3.70%
Total return before allocation to Special Limited Partner	(0.10%)	(3.80%)	(7.60%)	(4.80%)
Allocation to Special Limited Partner
Total return	(0.10%)	(3.80%)	(7.60%)	(4.80%)