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MORTGAGE NOTES PAYABLE (Line of Credit) (Details)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Jan. 22, 2020
USD ($)
Dec. 20, 2019
USD ($)
Sep. 30, 2015
Jul. 31, 2014
USD ($)
item
Aug. 31, 2014
Sep. 30, 2020
USD ($)
Sep. 30, 2019
USD ($)
Sep. 30, 2020
USD ($)
Sep. 30, 2019
USD ($)
Dec. 31, 2005
Oct. 31, 2020
USD ($)
Dec. 19, 2019
USD ($)
May 31, 2019
USD ($)
Aug. 31, 2017
USD ($)
Mar. 07, 2005
item
Line of Credit                              
Interest expense           $ 3,417,348 $ 3,011,347 $ 10,291,255 $ 9,145,075            
Payment on line of credit               1,000,000 2,000,000            
Line Of Credit Facility Unused Capacity Commitment Fee               9,000              
Hamilton Essex 81                              
Line of Credit                              
Interest expense           63,961 $ 117,103 236,053 $ 360,122            
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   $ 150,000,000              
Operating income to indebtedness ratio               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                              
Variable interest rate spread     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   $ 17,000,000              
Number of properties in which borrowing amount collateralized | item       23                      
Line of Credit | Subsequent event                              
Line of Credit                              
Amount of refinancing costs                     $ 37,500        
Line of Credit | Federal Funds Rate                              
Line of Credit                              
Variable interest rate spread       0.50%                      
Line of Credit | LIBOR                              
Line of Credit                              
Additional applicable margin rate       2.50%                      
Variable interest rate spread       1.00%                      
Line of Credit | Minimum                              
Line of Credit                              
Pledged interest ownership percentage               49.00%              
Commitment fee for unused amount (as a percent)       0.15%                      
Line of Credit | Maximum                              
Line of Credit                              
Pledged interest ownership percentage               100.00%              
Commitment fee for unused amount (as a percent)       0.20%