Agreements - Additional Information (Detail)		1 Months Ended	12 Months Ended		14 Months Ended
	Nov. 01, 2018 $ / Half_Turn_Trade $ / Round_Turn_Trade	Mar. 31, 2018	Dec. 31, 2018 USD ($) $ / Half_Turn_Trade $ / Round_Turn_Trade	Dec. 31, 2015	Dec. 31, 2016	Dec. 31, 2017 USD ($)
Investment [Line Items]
Percentage of monthly General Partner fee			0.0625%
Percentage of General Partner fee			0.75%
Cash held for restricted cash requirements | $						$ 42,619,216
CMF FORT Contrarian Master Fund LLC [Member]
Investment [Line Items]
Percentage of management fee			1.15%
Incentive fee, quarterly trading profits basis			20.00%
CMF Winton Master L.P. [Member]
Investment [Line Items]
Percentage of management fee			1.50%
Incentive fee, quarterly trading profits basis			20.00%
CMF Willowbridge Master Fund L.P.[Member]
Investment [Line Items]
Percentage of management fee		1.50%	1.25%
Incentive fee, quarterly trading profits basis			20.00%
Systematica Investments Limited [Member]
Investment [Line Items]
Percentage of management fee			1.00%
Incentive fee, quarterly trading profits basis			20.00%	20.00%
CMF TT II, LLC [Member]
Investment [Line Items]
Percentage of management fee			0.85%		1.00%
Incentive fee, quarterly trading profits basis			20.00%	20.00%
Percentage of allocable share			100.00%
U.S. Treasury bill maturity period			28 days
U.S. Treasury bill discount rate			0.15%
MS&Co. [Member]
Investment [Line Items]
Percentage of allocable share			100.00%
Cash held for restricted cash requirements | $			$ 0			$ 42,619,216
Class A Redeemable Units [Member] | Morgan Stanley Wealth Management [Member]
Investment [Line Items]
Brokerage commission payable per round-turn | $ / Round_Turn_Trade			15.00
Brokerage commission payable per half turn | $ / Half_Turn_Trade			7.50
Class A Redeemable Units [Member] | Morgan Stanley Distribution Inc [Member] | Harbor Selling Agreement [Member]
Investment [Line Items]
Brokerage commission payable per round-turn | $ / Round_Turn_Trade	15.00
Brokerage commission payable per half turn | $ / Half_Turn_Trade	7.50