MORTGAGE NOTES PAYABLE (Line of Credit) (Details)					1 Months Ended					3 Months Ended		12 Months Ended
	Jun. 04, 2018 USD ($)	Sep. 29, 2017 USD ($)	Sep. 30, 2015	Jul. 31, 2014 USD ($) item	May 31, 2019 USD ($)	Jan. 31, 2019 USD ($)	Oct. 31, 2018 USD ($)	Jul. 31, 2018 USD ($)	Aug. 31, 2014	Mar. 31, 2019 USD ($)	Mar. 31, 2018 USD ($)	Dec. 31, 2005	Mar. 29, 2018 USD ($)	Jul. 16, 2017 USD ($)	Mar. 07, 2005 item
Line of Credit
Interest expense										$ 3,000,289	$ 2,984,210
Line Of Credit Facility Unused Capacity Commitment Fee										12,000
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
Residences at Captain Parkers LLC Residential Apartments Lexington, Massachusetts | Subsequent event
Line of Credit
Term of debt					10 years
Loan amount					$ 20,750,000
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
Payment on line of credit		$ 8,000,000				$ 2,000,000	$ 3,000,000	$ 4,000,000
Amount of refinancing costs										$ 128,000
Credit line balance														$ 25,000,000
Number of properties in which borrowing amount collateralized | item				23
Line of Credit | Dexter Park
Line of Credit
Payment on line of credit	$ 16,000,000
Line of Credit | Hamilton Highlands LLC Residential Needham Massachusetts [Member]
Line of Credit
Funds drawn by the company													$ 8,000,000
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%