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MORTGAGE NOTES PAYABLE (Line of Credit) (Details)
 1 Months Ended 3 Months Ended 12 Months Ended
Mar. 29, 2018
USD ($)
Sep. 30, 2015
Jul. 31, 2014
USD ($)
item
Aug. 31, 2014
Mar. 31, 2018
USD ($)
Mar. 31, 2017
USD ($)
Dec. 31, 2017
USD ($)
Dec. 31, 2005
Sep. 29, 2017
USD ($)
Jul. 06, 2017
USD ($)
Mar. 07, 2005
item
Line of Credit                      
Interest expense         $ 2,984,210 $ 2,520,826          
Credit line balance         25,000,000   $ 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 $ 8,000,000                    
Credit line balance         $ 25,000,000            
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%