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  <xs:element id="hri_NumberOfSharesIssuedInSpinoffForEachShareOwnedInFormerParentPercent" abstract="false" name="NumberOfSharesIssuedInSpinoffForEachShareOwnedInFormerParentPercent" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:pureItemType"/>
  <xs:element id="hri_ThreeCustomersMember" abstract="true" name="ThreeCustomersMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_LessorLeasesOtherIncome" abstract="false" name="LessorLeasesOtherIncome" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="hri_LessorOperatingLeasePaymentToBeReceivedAfterYearFour" abstract="false" name="LessorOperatingLeasePaymentToBeReceivedAfterYearFour" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
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  <xs:element id="hri_LoanSecuredByMortgageEncumberingTrimbleMember" abstract="true" name="LoanSecuredByMortgageEncumberingTrimbleMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_BuckthornPlazaMortgageLoanMember" abstract="true" name="BuckthornPlazaMortgageLoanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_MarketAtHilliardMortgageLoanMember" abstract="true" name="MarketAtHilliardMortgageLoanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_NumberOfMortgageLoan" abstract="false" name="NumberOfMortgageLoan" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="hri_DebtInstrumentNumberOfExtensionOptions" abstract="false" name="DebtInstrumentNumberOfExtensionOptions" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="hri_DebtInstrumentExtensionTerm" abstract="false" name="DebtInstrumentExtensionTerm" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="hri_DebtInstrumentExtensionFee" abstract="false" name="DebtInstrumentExtensionFee" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="hri_InterestRateSwapMaturingNovember2026Member" abstract="true" name="InterestRateSwapMaturingNovember2026Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_InterestRateSwapMaturingApril62029Member" abstract="true" name="InterestRateSwapMaturingApril62029Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_InterestRateSwapMaturingApril302029Member" abstract="true" name="InterestRateSwapMaturingApril302029Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_MultiFamilySegmentMember" abstract="true" name="MultiFamilySegmentMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_NetLeaseMember" abstract="true" name="NetLeaseMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_RetailSegmentMember" abstract="true" name="RetailSegmentMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_OperatingSegmentsAndCorporateNonSegmentMember" abstract="true" name="OperatingSegmentsAndCorporateNonSegmentMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_TenantRecoveryMember" abstract="true" name="TenantRecoveryMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_CostofRealEstateRevenueandRealEstateTaxExpense" abstract="false" name="CostofRealEstateRevenueandRealEstateTaxExpense" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="hri_GeneralandAdministrativeExpenseDepreciationandAmortization" abstract="false" name="GeneralandAdministrativeExpenseDepreciationandAmortization" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="hri_GAAPAdjustmentsToNOI" abstract="false" name="GAAPAdjustmentsToNOI" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="hri_NetIncomeLossAttributableToParentAdjusted" abstract="false" name="NetIncomeLossAttributableToParentAdjusted" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="hri_IncentiveAwardPlanMember" abstract="true" name="IncentiveAwardPlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_StockRepurchasedAndRetiredDuringPeriodPricePerShare" abstract="false" name="StockRepurchasedAndRetiredDuringPeriodPricePerShare" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:perShareItemType"/>
  <xs:element id="hri_FormerPresidentAndChiefExecutiveOfficerMember" abstract="true" name="FormerPresidentAndChiefExecutiveOfficerMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="hri_RelatedPartyTransactionDurationCompanyWillPayPremiums" abstract="false" name="RelatedPartyTransactionDurationCompanyWillPayPremiums" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="hri_LesseeOperatingLeaseMonthlyRentalPaymentPriorToOccupancy" abstract="false" name="LesseeOperatingLeaseMonthlyRentalPaymentPriorToOccupancy" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
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  <xs:element id="hri_LesseeOperatingLeaseMonthlyRentalPaymentPostOccupancy" abstract="false" name="LesseeOperatingLeaseMonthlyRentalPaymentPostOccupancy" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
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  <xs:element id="hri_LesseeOperatingLeaseAnnualRentIncrease" abstract="false" name="LesseeOperatingLeaseAnnualRentIncrease" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="hri_LesseeOperatingLeaseAnnualRentalPaymentPostAgreementTermination" abstract="false" name="LesseeOperatingLeaseAnnualRentalPaymentPostAgreementTermination" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
</xs:schema>
