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MORTGAGE NOTES PAYABLE (Line of Credit) (Details)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Oct. 05, 2017
USD ($)
Jan. 07, 2016
Sep. 30, 2015
Jul. 31, 2014
USD ($)
item
Aug. 31, 2014
Sep. 30, 2017
USD ($)
Sep. 30, 2016
USD ($)
Sep. 30, 2017
USD ($)
Sep. 30, 2016
USD ($)
Dec. 31, 2005
Sep. 29, 2017
USD ($)
Jul. 06, 2017
USD ($)
Mar. 07, 2005
item
Line of Credit                          
Interest expense           $ 3,046,818 $ 2,553,771 $ 8,113,197 $ 7,650,096        
Payment on line of credit               16,000,000 $ 25,000,000        
Line Of Credit Facility Unused Capacity Commitment Fee               38,000          
Subsequent event                          
Line of Credit                          
Payment on line of credit $ 8,000,000                        
Amount of refinancing costs 125,000                        
Woodland Park Apartments                          
Line of Credit                          
Loan amount                     $ 22,250,000 $ 16,000,000  
Interest expense           182,000              
Credit line balance           25,000,000   25,000,000       $ 25,000,000  
Woodland Park Apartments | Subsequent event                          
Line of Credit                          
Payment on line of credit $ 8,000,000                        
Hamilton Essex 81                          
Line of Credit                          
Number of properties in which borrowing amount collateralized | item                         1
LIBOR | Residences at Captain Parkers LLC Residential Apartments Lexington, Massachusetts                          
Line of Credit                          
Margin over basis of interest rate (as a percent)   201.00%                      
Minimum                          
Line of Credit                          
Tangible net worth           $ 150,000,000   $ 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       $ 125,000                  
Number of properties in which borrowing amount collateralized | item       23                  
Line of Credit | Base Rate                          
Line of Credit                          
Reference rate used in calculation of Base Rate       base                  
Line of Credit | Prime Rate [Member]                          
Line of Credit                          
Reference rate used in calculation of Base Rate       Prime                  
Line of Credit | Federal Funds Rate                          
Line of Credit                          
Reference rate used in calculation of Base Rate       Federal Funds                  
Basis of effective interest rate used in calculation of Base Rate (as a percent)       0.50%                  
Line of Credit | LIBOR                          
Line of Credit                          
Reference rate used in calculation of Base Rate       one month LIBOR                  
Basis of effective interest rate used in calculation of Base Rate (as a percent)       1.00%                  
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 | Minimum | Base Rate                          
Line of Credit                          
Margin over basis of interest rate (as a percent)       2.50%                  
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%