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Income Taxes - Reconciliation of Partnership Equity Per Financial Statements to Partners' Equity for Tax Purposes (Detail) (USD $)
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Income Tax Disclosure [Abstract]        
Partners' equity per financial statements $ 2,042,619us-gaap_PartnersCapital $ 2,073,492us-gaap_PartnersCapital $ 2,092,095us-gaap_PartnersCapital $ 2,103,075us-gaap_PartnersCapital
Issue costs of limited partnership units capitalized for tax purposes 637,325dtrpi_IssueCostsOfLimitedPartnershipCapitalizedForTax      
Difference in book vs. tax depreciation 79,717dtrpi_DeferredTaxLiabilitiesDepreciationDifferences      
Other 235us-gaap_OtherPartnersCapital      
Partners' equity for tax purposes $ 2,759,896dtrpi_PartnersEquityNet