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Summary of Significant Accounting Policies - Additional Information (Details)
$ / shares in Units, shares in Millions
6 Months Ended 12 Months Ended
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