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MORTGAGE NOTES PAYABLE AND LINE OF CREDIT (Line of Credit) (Details)
1 Months Ended 9 Months Ended 12 Months Ended
Jan. 07, 2016
Sep. 30, 2015
Jul. 31, 2014
USD ($)
item
Aug. 31, 2014
Sep. 30, 2016
USD ($)
Dec. 31, 2005
item
Dec. 31, 2015
USD ($)
Mar. 07, 2005
item
Line of Credit                
Credit line balance             $ 25,000,000  
Line Of Credit Facility Unused Capacity Commitment Fee         $ 37,000      
Hamilton Essex 81                
Line of Credit                
Number of properties in which borrowing amount collateralized | item               1
Line of Credit                
Line of Credit                
Maximum borrowings     $ 25,000,000          
Term of debt     3 years          
Amount of refinancing costs     $ 125,000          
Credit line balance         0      
Number of properties in which borrowing amount collateralized | item     23          
Base Rate | Line of Credit                
Line of Credit                
Reference rate used in calculation of Base Rate     base          
Prime Rate [Member] | Line of Credit                
Line of Credit                
Reference rate used in calculation of Base Rate     Prime          
Federal Funds Rate | Line of Credit                
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%          
LIBOR | Residences at CaptainParkers LLC Residential Apartments Lexington, Massachusetts                
Line of Credit                
Margin over basis of interest rate (as a percent) 201.00%              
LIBOR | Line of Credit                
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%          
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      
Minimum | Line of Credit                
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%          
Minimum | Base Rate | Line of Credit                
Line of Credit                
Margin over basis of interest rate (as a percent)     2.50%          
Maximum                
Line of Credit                
Leverage ratio         65.00%      
Aggregate increase in indebtedness         $ 15,000,000      
Maximum | Line of Credit                
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%          
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    
Number of properties in which borrowing amount collateralized | item           3    
Mortgages payable | LIBOR | Hamilton Essex 81                
Line of Credit                
Margin over basis of interest rate (as a percent)   2.18%