Consolidated Statements of Financial Condition [Abstract] Total assets Total liabilities Capital Units by Class [Axis] Total liabilities and members’ capital Consolidated Statements of Operations [Abstract] Net gain allocated from investment in Graham Alternative Investment Trading LLC Total expenses Net investment income allocated from investment in Graham Alternative Investment Trading LLC Net income Net income (loss) Net income Consolidated Statements of Changes in Members Members' capital, beginning balance Members' capital, ending balance Total members’ capital Members' capital, beginning balance (in Shares) Members' capital, ending balance (in Shares) Consolidated Statements of Cash Flows [Abstract] Net cash provided by (used in) operating activities Net cash (used in) provided by financing activities Net change in cash and cash equivalents Cash and cash equivalents, beginning of year Cash and cash equivalents, end of year Organization and Business [Abstract] Summary of Significant Accounting Policies [Abstract] Capital Accounts [Abstract] Fees and Related Party Transactions [Abstract] Income Taxes [Abstract] Risk Factors [Abstract] Financial Highlights [Abstract] Net asset value per Unit, beginning balance (in Dollars per share) Net asset value per Unit, ending balance (in Dollars per share) Net income (loss) (in Dollars per share) Total return after Incentive Allocation Net investment income (loss) after Incentive Allocation Total expenses after Incentive Allocation Subsequent Events [Abstract] Assets Investment in Graham Alternative Investment Trading LLC, at fair value Redemptions receivable from Graham Alternative Investment Trading LLC Cash and cash equivalents Cash and cash equivalents (in Dollars) Liabilities and members’ capital Liabilities: Redemptions payable Subscriptions received in advance Members’ capital: Capital units, outstanding (in Shares) Capital units, issued (in Shares) Capital units, value (in Dollars per unit) Net gain allocated from investment in Graham Alternative Investment Trading LLC: Net realized (loss) gain on investment Net increase in unrealized appreciation on investment Net investment income allocated from investment in Graham Alternative Investment Trading LLC: Investment income: Interest income Expenses: Advisory fees Professional fees Sponsor fees Sponsor Fees Administrator’s fees Administrator's fees Incentive allocation Operating expenses Interest expense Initial subscription Initial subscription (in Shares) Subscriptions Subscriptions (in Shares) Cash flows provided by (used in) operating activities Adjustments to reconcile net income to net cash provided by (used in) operating activities: Net (income) allocated from investment in Graham Alternative Investment Trading LLC Proceeds from sale of investment in Graham Alternative Investment Trading LLC Cash flows (used in) provided by financing activities Subscriptions (net of subscriptions received in advance) Brokerage commissions and fees Redemptions Redemptions (in Shares) Investments in Graham Alternative Investment Trading LLC Redemptions (net of redemptions payable) Class 0 Units [Member] Class 2 Units [Member] Class 3-A Units [Member] Class 3-B Units [Member] Organization and Business Summary of Significant Accounting Policies Capital Accounts Fees and Related Party Transactions Sponsor Fees Sponsor fees at annual rate of the Members' Capital Income Taxes Risk Factors Financial Highlights Operating Performance Calculation Per Unit Per unit operating performance Initial asset value per share (in Dollars per share) Net income (loss): Net income: Net investment income (loss) (in Dollars per share) Net gain (loss) on investments (in Dollars per share) Ratios to Average Members' Capital and Total Return Total return before Incentive Allocation Incentive Allocation Net investment income before Incentive Allocation Incentive Allocation Total expenses before Incentive Allocation Incentive Allocation Subsequent Events Investment, Name [Axis] Statistical Measurement [Axis] Cybersecurity Risk Management Processes Integrated [Flag] Cybersecurity Risk Management Processes Integrated [Text Block] Cybersecurity Risk Management Processes for Assessing, Identifying, and Managing Threats [Text Block] Cybersecurity Risk Board Committee or Subcommittee Responsible for Oversight [Text Block] Cybersecurity Risk Management Expertise of Management Responsible [Text Block] Cybersecurity Risk Process for Informing Board Committee or Subcommittee Responsible for Oversight [Text Block] Cybersecurity Risk Management Positions or Committees Responsible [Flag] Cybersecurity Risk Management Positions or Committees Responsible Report to Board [Flag] Cybersecurity Risk Management Positions or Committees Responsible [Text Block] Cybersecurity Risk Board of Directors Oversight [Text Block] Cybersecurity Risk Process for Informing Management or Committees Responsible [Text Block] Cybersecurity Risk Role of Management [Text Block] Cybersecurity Risk Management Third Party Engaged [Flag] Cybersecurity Risk Third Party Oversight and Identification Processes [Flag] Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Flag] Percentage of ownership interest Ownership percentage Number of operating segments (in Segment) Initial subscription amount Cost for additional units Notice period for units subscription Notice period for units redemption Amount for partial redemption request Holding post partial redemption Period of remittance for redemption proceeds Advisory fees at annual rate of the Members' Capital Percentage of incentive allocation Fund subscriptions Fund redemptions Basis of Accounting Principles of Consolidation Investment in Graham Alternative Investment Trading LLC Fair Value Cash and Cash Equivalents Recent Accounting Pronouncement Indemnifications Graham Alternative Investment Trading LLC [Member] Minimum [Member] Maximum [Member] Class 0, Class 2, and Class 3-B Units [Member] Class 0 and Class 2 Units [Member] Capital Unit, Class [Domain] Statement [Table] Consolidated Statements of Financial Condition [Abstract] Consolidated Statements of Changes in Members Related Party Transaction [Table] Fees and Related Party Transactions [Abstract] Investment Company, Financial Highlights [Table] Financial Highlights [Abstract] Cybersecurity Risk Management, Strategy, and Governance [Table] Cybersecurity Risk Management, Strategy, and Governance [Line Items] Investment, Name [Domain] Equity Method Investment [Table] Summary of Significant Accounting Policies [Abstract] Statistical Measurement [Domain] Equity, Capital Unit or Share [Table] Capital Accounts [Abstract] Subsequent Event [Table] Subsequent Events [Abstract] Represents minimum amount for partial redemption request. Number of capital units or capital shares issued. Represents stated value of each capital unit per unit. Calculated incentive allocation as a percentage of beginning capital. The amount of redemptions of the fund during the period from the beginning of the period to the latest practicable date. The amount of subscriptions to the fund during the period from the beginning of the period to the latest practicable date. Represents minimum holding that an investor must have before partial redemption. Incentive allocation paid to the manager. Calculated incentive allocation as a percentage of average capital. Investment income (loss) net of operating and interest expense. Initial asset value per share or per unit of investments. Includes, but is not limited to, by unit, membership interest, or other ownership interest. Investment includes, but is not limited to, investment in certain hedge funds, venture capital funds, private equity funds, real estate partnerships or funds. Excludes fair value disclosure. Minimum amount required by the investors to invest in each class of capital units or shares. Amount of gains (losses) realized during the period from certain investments for which net asset value per share is calculated (including by unit, membership interest, or other equity (ownership interest) unit measure) (alternative investments). Amount paid to the advisor for management of the day-to-day business functions of the LLC or LP including the fee rate, basis of calculation, relevant accounting period, whether the fee is paid to an entity other than the managing member or General Partner, or whether the fee is waived. Investment income (loss) net of operating and interest expense. Investment income (loss) net of operating and interest expense. Amount of net loss (income) allocated from investment. Incentive fees which are compensation paid to a trading advisor or to any practitioner who achieves investment results above a specified contractual level. Represents minimum notice period for units available for redemption. Represents minimum notice period for units available for subscription. Represents tabular disclosure of operating performance calculation per unit. Total change in each class of partners' capital accounts due to initial subscription. All partners include general, limited and preferred partners. The number of units initially subscribed from each class of partners' capital account. Units represent shares of ownership of the general, limited, and preferred partners. The number of units subscribed during the year of each class of partners' capital account. Units represent shares of ownership of the general, limited, and preferred partners. Total change in each class of partners' capital accounts during the year due to subscriptions. All partners include general, limited and preferred partners. The cash outflow from unit redemption activity during the reporting period. Represents parent entity's interest in net assets, expressed as a percentage. Represents period of remittance of redemption proceed. Amount of proceeds from sale of investment. The cash inflow from unit subscription activity during the reporting period. Amount of investment purchases. Represents tabular disclosure of ratios to average members' capital and total return. Amounts expected to be received for redemptions from investments at the end of the reporting period. Represents amount due to shareholder's for redemptions at the end of the reporting period. The entire disclosure for any risk existing at the date of the financial statements that make an entity vulnerable to a reasonably possible, near-term, severe impact. Tabular disclosure of Sponsor Fees at an annual rate, disclosed as a percentage. Fees paid to advisors who provide certain management support and administrative oversight services including the organization and sale of stock, investment funds, limited partnerships and mutual funds. Represents minimum subscription for additional units subscribed to members under each class. Subscriptions for trust units received in advance. Class 0, Class 2, and Class 3-B of capital units, which are a type of ownership interest in a corporation. Class 3-A of capital units, which are a type of ownership interest in a corporation. Class 3-B of capital units, which are a type of ownership interest in a corporation. Class A and B of capital units, which are a type of ownership interest in a corporation. Represents funds which invest in various master trading vehicles "Master Funds". Cybersecurity Risk Role of Management [Text Block] Partners Capital Account Subscribed Payments Of Redemptions Investment Advisory Fee Number of Operating Segments Organization, Consolidation, Basis of Presentation, Business Description and Accounting Policies [Text Block] Income Tax Disclosure [Text Block] Partners' Capital [Abstract] Cybersecurity Risk Management Expertise of Management Responsible [Text Block] Other Cost and Expense, Operating Cybersecurity Risk Management Positions or Committees Responsible [Text Block] Period Of Remittance Redemption Proceeds Related Party Transactions Disclosure [Text Block] Partners' Capital Assets [Abstract] Partners Capital Account Initially Subscribed Equity Method Investment, Ownership Percentage Investment Company, Investment Income (Loss) Ratio, before Incentive Allocation Partners Capital Account Subscriptions Investment Company, Total Return after Incentive Fees Cash Provided by (Used in) Operating Activity, Including Discontinued Operation Net Asset Value Per Unit Abstract Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Flag] Cybersecurity Risk Process for Informing Board Committee or Subcommittee Responsible for Oversight [Text Block] Debt Securities, Trading, Gain (Loss) Cybersecurity Risk Board Committee or Subcommittee Responsible for Oversight [Text Block] Capital Unit, Class B [Member] Capital Units, Outstanding Schedule Of Sponsor Fees Table Text Block Schedule of Equity Method Investments [Line Items] Administrative Fees Expense Basis of Accounting, Policy [Policy Text Block] Cybersecurity Risk Third Party Oversight and Identification Processes [Flag] Percentage Of Ownership Interest Capital Units Issued Capital Unit, Class A [Member] Cybersecurity Risk Process for Informing Management or Committees Responsible [Text Block] Cybersecurity Risk Management Positions or Committees Responsible [Flag] Investment Company, Total Return before Incentive Fees Cybersecurity Risk Management Processes for Assessing, Identifying, and Managing Threats [Text Block] Noninterest Expense Related To Performance Fees Percentage Subscription Received In Advance Capital Units Stated Value Sponsors Fee Risk Factors Text Block Fair Value Measurement, Policy [Policy Text Block] New Accounting Pronouncements, Policy [Policy Text Block] Capital Unit [Line Items] Fund Subscriptions Entities That Calculate Net Asset Value Per Share Incentive Allocation Fund Redemptions Net Loss Income Allocated From Investment Cybersecurity Risk Management Third Party Engaged [Flag] Operating Expenses [Abstract] Capital Unit Class3 AMember Interest Income, Operating Notice Period For Units Redemption Professional Fees Investment Company, Expense Ratio after Incentive Allocation Graham Alternative Investment Trading Llc Member Investment Income, Net [Abstract] Cash and Cash Equivalents, Policy [Policy Text Block] Capital Unit Class3 BMember Investment Company, Investment Income (Loss) Ratio, after Incentive Allocation Equity Method Investments [Policy Text Block] Assets Liabilities Net Asset Value Per Share Capital Unit Class AAnd BMember Partners' Capital Account, Units, Redeemed Operating Performance Calculation Per Unit Table Text Block Subsequent Event [Line Items] Subsequent Events [Text Block] Cybersecurity Risk Board of Directors Oversight [Text Block] Interest Expense, Operating Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract] Purchases Of Investments Holding Post Partial Redemption Investment Owned, Fair Value Ratios To Average Members Capital And Total Return Table Text Block Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Excluding Exchange Rate Effect, Including Discontinued Operation Gain (Loss) on Investments [Abstract] Cybersecurity Risk Management Positions or Committees Responsible Report to Board [Flag] Partners' Capital Account, Units Minimum [Member] Redemptions Payable Cybersecurity Risk Management Processes Integrated [Text Block] Cash and Cash Equivalent Investments Entities That Calculate Net Asset Value Per Share Net Investment Gain Loss Proceeds From Sale Of Investment Cash Provided by (Used in) Financing Activity, Including Discontinued Operation Net Income Loss On Investment Floor Brokerage Organization, Consolidation and Presentation of Financial Statements Disclosure [Text Block] Management Fee Operating Expenses Liabilities And Members Capital Abstract Maximum [Member] Notice Period For Units Subscription Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation Net Income (Loss) Attributable to Parent [Abstract] Consolidation, Policy [Policy Text Block] Sponsor Fees Cybersecurity Risk Management Processes Integrated [Flag] Incentive Fee Expense Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract] Incentive Allocation Allocated To Expenses Amount For Partial Redemption Request Debt Securities, Trading, Unrealized Gain (Loss) Cybersecurity Risk Management, Strategy, and Governance [Abstract] Investment Income, Interest and Dividend [Abstract] Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity [Abstract] Proceeds From Subscriptions Net Investment Loss Partners' Capital Account, Redemptions Initial Asset Value Per Share Liabilities and Equity Investment Company, Expense Ratio before Incentive Allocation Liabilities [Abstract] Investment Company, Financial Highlights [Text Block] Related Party Transaction [Line Items] Income Loss Net Initial Subscription Amount Guarantees, Indemnifications and Warranties Policies [Policy Text Block] Partners Capital Account Initial Subscription Subscription For Additional Units Subscribed Income (Loss) Attributable to Parent, before Tax Investment Company, Financial Highlights [Line Items] Incentive Allocation Of Net Investment Percentage Partners' Capital Notes Disclosure [Text Block] Capital Unit Class0 Class2 And Class3 BMember Debt Securities, Trading, Realized Gain (Loss) Redemption Receivable Statement [Line Items]