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MORTGAGE NOTES PAYABLE (Line of Credit) (Details)
1 Months Ended 3 Months Ended 12 Months Ended
Jan. 22, 2020
USD ($)
Dec. 20, 2019
USD ($)
Sep. 30, 2015
Jul. 31, 2014
USD ($)
item
Aug. 31, 2014
Mar. 31, 2020
USD ($)
Mar. 31, 2019
USD ($)
Dec. 31, 2005
Dec. 19, 2019
USD ($)
May 31, 2019
USD ($)
Mar. 07, 2005
item
Line of Credit                      
Interest expense           $ 3,450,325 $ 3,000,289        
Line Of Credit Facility Unused Capacity Commitment Fee           3,000          
Hamilton Essex 81                      
Line of Credit                      
Number of properties in which borrowing amount collateralized | item                     1
Residences at Captain Parkers LLC Residential Apartments Lexington, Massachusetts                      
Line of Credit                      
Loan amount                   $ 20,750,000  
Minimum                      
Line of Credit                      
Tangible net worth           $ 150,000,000          
Ratio of net operating income to total indebtedness           9.50%          
Debt service coverage ratio           1.6          
Maximum                      
Line of Credit                      
Loan amount   $ 35,000,000                  
Leverage ratio           65.00%          
Aggregate increase in indebtedness           $ 15,000,000          
Mortgages payable | Hamilton Essex 81                      
Line of Credit                      
Term of debt     10 years                
Mortgages payable | Hamilton on Main Apartments, LLC                      
Line of Credit                      
Term of debt         10 years     10 years      
Mortgages payable | LIBOR | Hamilton Essex 81                      
Line of Credit                      
Margin over basis of interest rate (as a percent)     2.18%                
Line of Credit                      
Line of Credit                      
Maximum borrowings       $ 25,000,000              
Term of debt       3 years              
Loan amount                 $ 20,000,000    
Payment on line of credit $ 1,000,000 $ 2,000,000                  
Amount of refinancing costs           128,000          
Credit line balance           $ 17,000,000          
Number of properties in which borrowing amount collateralized | item       23              
Line of Credit | Federal Funds Rate                      
Line of Credit                      
Basis of effective interest rate used in calculation of Base Rate (as a percent)       0.50%              
Line of Credit | LIBOR                      
Line of Credit                      
Basis of effective interest rate used in calculation of Base Rate (as a percent)       1.00%              
Margin over basis of interest rate (as a percent)       2.50%              
Line of Credit | Minimum                      
Line of Credit                      
Pledged interests of the Partnership's ownership interest (as a percent)       49.00%              
Commitment fee for unused amount (as a percent)       0.15%              
Line of Credit | Maximum                      
Line of Credit                      
Pledged interests of the Partnership's ownership interest (as a percent)       100.00%              
Commitment fee for unused amount (as a percent)       0.20%