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Statements of Income (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Income Statement [Abstract]    
RENTAL REVENUES $ 209,450us-gaap_OperatingLeasesIncomeStatementLeaseRevenue $ 189,699us-gaap_OperatingLeasesIncomeStatementLeaseRevenue
EXPENSES    
General and administrative 57,683us-gaap_GeneralAndAdministrativeExpense 40,010us-gaap_GeneralAndAdministrativeExpense
Depreciation 7,237us-gaap_Depreciation 7,237us-gaap_Depreciation
Total expenses 64,920us-gaap_OperatingExpenses 47,247us-gaap_OperatingExpenses
Operating income 144,530us-gaap_OperatingIncomeLoss 142,452us-gaap_OperatingIncomeLoss
OTHER INCOME    
Interest 62us-gaap_InvestmentIncomeInterest 70us-gaap_InvestmentIncomeInterest
Other 550us-gaap_OtherNonoperatingIncome 200us-gaap_OtherNonoperatingIncome
Net income $ 145,142us-gaap_NetIncomeLoss $ 142,722us-gaap_NetIncomeLoss
Net income per limited partnership unit (Note 2) $ 16.42dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax $ 16.15dtrpi_NetIncomeLossPerOutstandingLimitedPartnershipUnitBasicBeforeTax
Number of units used in computing per unit amounts 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding