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Related Parties - Additional Information (Detail) (USD $)
12 Months Ended
Dec. 31, 2014
Acquisition
Dec. 31, 2013
Dec. 31, 2012
Related Party Transaction [Line Items]      
Cash Distributions $ (708,399)us-gaap_PartnersCapitalAccountDistributions $ (677,478)us-gaap_PartnersCapitalAccountDistributions $ (645,142)us-gaap_PartnersCapitalAccountDistributions
Number of other partnerships formed for acquisition 3dtrpi_NumberOfOtherPartnershipsFormedForAcquisition    
General Partner [Member]      
Related Party Transaction [Line Items]      
Cash Distributions $ (7,084)us-gaap_PartnersCapitalAccountDistributions
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_GeneralPartnerMember
$ (6,775)us-gaap_PartnersCapitalAccountDistributions
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_GeneralPartnerMember
$ (6,451)us-gaap_PartnersCapitalAccountDistributions
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_GeneralPartnerMember
General partner, partnership interest percentage 1.00%dtrpi_GeneralPartnersCapitalAccountPartnershipInterestPercentage
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_GeneralPartnerMember
1.00%dtrpi_GeneralPartnersCapitalAccountPartnershipInterestPercentage
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_GeneralPartnerMember
1.00%dtrpi_GeneralPartnersCapitalAccountPartnershipInterestPercentage
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_GeneralPartnerMember