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Summary of Significant Accounting Policies - Additional Information (Details) $ / shares in Units, shares in Millions |  |  | 6 Months Ended | 12 Months Ended |  |  |  |  |  |  |  |
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Sep. 13, 2023 $ / shares | Jun. 14, 2023 $ / shares | Jun. 30, 2023 $ / shares | Dec. 31, 2022 USD ($) | Sep. 30, 2023 USD ($) Property $ / shares shares | Jul. 31, 2023 | Mar. 31, 2023 $ / shares | Jan. 31, 2023 | Jan. 01, 2023 USD ($) | Sep. 30, 2022 $ / shares | Jun. 30, 2022 $ / shares | Mar. 31, 2022 $ / shares
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Partners capital | $ |  |  |  | $ 323,955,517 | $ 297,377,260 |  |  |  |  |  |  |
Supplemental distribution payable | $ / shares |  |  | $ 0.367 |  | $ 0.368 |  | $ 0.367 |  |  | $ 0.359 | $ 0.553 | $ 0.32
Increase in short-term interest rates in basis points |  |  | 1.00% | 4.25% |  |  |  |  |  |  |  |
ASU 2016-13 [Member] |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Partners capital | $ |  |  |  |  |  |  |  |  | $ 5,900,000 |  |  |
Restricted Unit Awards [Member] | Greystone Manager [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Approved grant of restricted units and other awards to employees | shares |  |  |  |  | 1.0 |  |  |  |  |  |  |
Greens Hold Co [Member] |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Number of Real Estate Properties | Property |  |  |  |  | 1 |  |  |  |  |  |  |
Ownership interest percentage in MF property |  |  |  |  | 100.00% |  |  |  |  |  |  |
Lindo Paseo LLC [Member] |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Ownership interest percentage in MF property |  |  |  |  | 100.00% |  |  |  |  |  |  |
Beneficial Unit Certificates [Member] |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Supplemental distribution payable | $ / shares | $ 0.07 | $ 0.07 |  |  |  |  |  |  |  |  |  |
Partnership distribution paid at ratio | 0.00418 | 0.00448 |  |  |  | 0.00448 |  | 0.0105 |  |  |  |
Distribution payable, record date | Sep. 29, 2023 | Jun. 30, 2023 |  |  |  |  |  |  |  |  |  |

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