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Summary of Significant Accounting Policies - Additional Information (Details)
$ / shares in Units, shares in Millions
6 Months Ended 12 Months Ended
Jun. 14, 2023
$ / shares
Jun. 30, 2023
USD ($)
Property
$ / shares
shares
Dec. 31, 2022
USD ($)
Mar. 31, 2023
$ / shares
Jan. 31, 2023
Jan. 01, 2023
USD ($)
Oct. 31, 2022
Jun. 30, 2022
$ / shares
Mar. 31, 2022
$ / shares
Summary Of Significant Accounting Policies [Line Items]                  
Partners capital | $   $ 344,252,165 $ 323,955,517            
Supplemental distribution payable | $ / shares   $ 0.368   $ 0.368       $ 0.556 $ 0.322
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                
Partnership distribution paid at ratio 0.00448       0.0105   0.01044    
Distribution payable, record date Jun. 30, 2023