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MORTGAGE NOTES PAYABLE (Line of Credit) (Details)
1 Months Ended 3 Months Ended 6 Months Ended 12 Months Ended
Jun. 04, 2018
USD ($)
Mar. 29, 2018
USD ($)
Sep. 30, 2015
Jul. 31, 2014
USD ($)
item
Aug. 31, 2014
Sep. 30, 2018
USD ($)
Jun. 30, 2017
USD ($)
Jun. 30, 2018
USD ($)
Jun. 30, 2017
USD ($)
Dec. 31, 2017
USD ($)
Dec. 31, 2005
Jul. 31, 2018
USD ($)
Sep. 29, 2017
USD ($)
Jul. 06, 2017
USD ($)
Mar. 07, 2005
item
Line of Credit                              
Interest expense           $ 3,256,341 $ 2,545,553 $ 6,240,552 $ 5,066,379            
Payment on line of credit               8,000,000              
Credit line balance               9,000,000   $ 17,000,000          
Line Of Credit Facility Unused Capacity Commitment Fee               3,000              
Woodland Park Apartments LLC Newton Massachusetts                              
Line of Credit                              
Loan amount                         $ 22,250,000 $ 16,000,000  
Credit line balance                   17,000,000       $ 25,000,000  
Webster Green Apartments                              
Line of Credit                              
Loan amount   $ 21,500,000                          
Credit line balance   8,000,000                          
Hamilton Essex 81                              
Line of Credit                              
Number of properties in which borrowing amount collateralized | item                             1
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                              
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                      
Amount of refinancing costs                   128,000          
Number of properties in which borrowing amount collateralized | item       23                      
Line of Credit | Woodland Park Apartments LLC Newton Massachusetts                              
Line of Credit                              
Payment on line of credit                   8,000,000          
Credit line balance                   17,000,000          
Funds drawn by the company                   $ 25,000,000          
Line of Credit | Webster Green Apartments                              
Line of Credit                              
Payment on line of credit $ 16,000,000 $ 8,000,000                          
Credit line balance               $ 9,000,000              
Line of Credit | Webster Green Apartments | Subsequent event                              
Line of Credit                              
Credit line balance                       $ 5,000,000      
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%