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Assets and Condensed Schedule of Investments by Class of Units - Assets by Class of Units (Details) - USD ($)
Dec. 31, 2019
Dec. 31, 2018
Equity in brokers' trading accounts:    
Cash $ 10,866,216 $ 12,858,812
Total equity in brokers' trading accounts 14,236,389 16,478,034
Cash and cash equivalents 577,181 2,519,703
Securities owned, at fair value 50,080,807 60,736,458
Interest receivable 5,553 13,919
Total assets 64,899,930 79,748,114
Securities owned, cost (in dollars) 50,013,633 60,715,159
Class A    
Equity in brokers' trading accounts:    
Cash 690,592 774,851
Total equity in brokers' trading accounts 904,781 992,940
Cash and cash equivalents 36,682 151,833
Securities owned, at fair value 3,182,839 3,659,882
Interest receivable 353 839
Total assets 4,124,655 4,805,494
Securities owned, cost (in dollars) 3,178,570 3,658,597
Class A | Futures Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 25,537 104,100
Class A | Forward Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts (4,390) (2,497)
Class A | Swap Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 193,042 116,486
Class B    
Equity in brokers' trading accounts:    
Cash 7,192,106 8,461,360
Total equity in brokers' trading accounts 9,422,748 10,842,884
Cash and cash equivalents 382,023 1,658,017
Securities owned, at fair value 33,147,366 39,965,825
Interest receivable 3,676 9,159
Total assets 42,955,813 52,475,885
Securities owned, cost (in dollars) 33,102,907 39,951,813
Class B | Futures Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 265,947 1,136,758
Class B | Forward Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts (45,718) (27,259)
Class B | Swap Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 2,010,413 1,272,025
Legacy 1 Class    
Equity in brokers' trading accounts:    
Cash 71,238 166,563
Total equity in brokers' trading accounts 93,332 213,442
Cash and cash equivalents 3,784 32,638
Securities owned, at fair value 328,325 786,731
Interest receivable 36 180
Total assets 425,477 1,032,991
Securities owned, cost (in dollars) 327,886 786,455
Legacy 1 Class | Futures Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 2,634 22,376
Legacy 1 Class | Forward Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts (453) (537)
Legacy 1 Class | Swap Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 19,913 25,040
Legacy 2 Class    
Equity in brokers' trading accounts:    
Cash 56,111 53,663
Total equity in brokers' trading accounts 73,514 68,768
Cash and cash equivalents 2,980 10,515
Securities owned, at fair value 258,609 253,468
Interest receivable 29 58
Total assets 335,132 332,809
Securities owned, cost (in dollars) 258,262 253,379
Legacy 2 Class | Futures Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 2,075 7,211
Legacy 2 Class | Forward Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts (357) (173)
Legacy 2 Class | Swap Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 15,685 8,067
Global 1 Class    
Equity in brokers' trading accounts:    
Cash 2,681,756 3,178,446
Total equity in brokers' trading accounts 3,513,507 4,073,046
Cash and cash equivalents 142,447 622,821
Securities owned, at fair value 12,359,824 15,012,860
Interest receivable 1,370 3,441
Total assets 16,017,148 19,712,168
Securities owned, cost (in dollars) 12,343,245 15,007,595
Global 1 Class | Futures Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 99,165 427,013
Global 1 Class | Forward Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts (17,047) (10,240)
Global 1 Class | Swap Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 749,633 477,827
Global 2 Class    
Equity in brokers' trading accounts:    
Cash 118,828 121,251
Total equity in brokers' trading accounts 155,683 155,376
Cash and cash equivalents 6,312 23,759
Securities owned, at fair value 547,661 572,708
Interest receivable 61 131
Total assets 709,717 751,974
Securities owned, cost (in dollars) 546,925 572,506
Global 2 Class | Futures Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 4,394 16,288
Global 2 Class | Forward Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts (755) (391)
Global 2 Class | Swap Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 33,216 18,228
Global 3 Class    
Equity in brokers' trading accounts:    
Cash 55,585 102,678
Total equity in brokers' trading accounts 72,824 131,578
Cash and cash equivalents 2,953 20,120
Securities owned, at fair value 256,183 484,984
Interest receivable 28 111
Total assets 331,988 636,793
Securities owned, cost (in dollars) 255,838 484,814
Global 3 Class | Futures Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts 2,055 13,795
Global 3 Class | Forward Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts (353) (331)
Global 3 Class | Swap Contracts    
Equity in brokers' trading accounts:    
Net unrealized gain (loss) on open contracts $ 15,537 $ 15,436