<XBRL>
<?xml version="1.0" encoding="us-ascii"?>
<!--XBRL document created by RR Donnelley IM Processor 9.1.2.0 using Fujitsu Interstage XWand-->
<schema targetNamespace="http://www.troweprice.com/20160628" elementFormDefault="qualified" xmlns="http://www.w3.org/2001/XMLSchema" xmlns:trptfifi="http://www.troweprice.com/20160628" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:nonnum="http://www.xbrl.org/dtr/type/non-numeric">
  <annotation>
    <appinfo>
      <link:linkbaseRef xlink:type="simple" xlink:href="trptfifi-20160628_pre.xml" xlink:title="Presentation Links, all" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="trptfifi-20160628_cal.xml" xlink:title="Calculation Links, all" xlink:role="http://www.xbrl.org/2003/role/calculationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="trptfifi-20160628_def.xml" xlink:title="Definition Links, all" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="trptfifi-20160628_lab.xml" xlink:title="Label Links, all" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:roleType roleURI="http://www.troweprice.com/role/DocumentDocumentandEntityInformationElements" id="httpwwwtrowepricecomroleDocumentDocumentandEntityInformationElements">
        <link:definition>000000 - Document - Document and Entity Information {Elements}</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/DocumentRiskReturnSummaryUnlabeledT.RowePriceTax-FreeIncomeFund,Inc.InvestorClassShares" id="httpwwwtrowepricecomroleDocumentRiskReturnSummaryUnlabeledTRowePriceTaxFreeIncomeFundIncInvestorClassShares">
        <link:definition>000011 - Document - Risk/Return Summary {Unlabeled} - T. Rowe Price Tax-Free Income Fund, Inc. (Investor Class Shares)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleShareholderFees000012" id="httpwwwtrowepricecomroleScheduleShareholderFees000012">
        <link:definition>000012 - Schedule - Shareholder Fees</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleAnnualFundOperatingExpenses000013" id="httpwwwtrowepricecomroleScheduleAnnualFundOperatingExpenses000013">
        <link:definition>000013 - Schedule - Annual Fund Operating Expenses</link:definition>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleExpenseExampleTransposed000014" id="httpwwwtrowepricecomroleScheduleExpenseExampleTransposed000014">
        <link:definition>000014 - Schedule - Expense Example {Transposed}</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleExpenseExampleNoRedemption000015" id="httpwwwtrowepricecomroleScheduleExpenseExampleNoRedemption000015">
        <link:definition>000015 - Schedule - Expense Example, No Redemption</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleAnnualTotalReturnsBarChart000016" id="httpwwwtrowepricecomroleScheduleAnnualTotalReturnsBarChart000016">
        <link:definition>000016 - Schedule - Annual Total Returns - T. Rowe Price Tax-Free Income Fund, Inc. (Investor Class Shares) [BarChart]</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleAverageAnnualTotalReturnsTransposed000017" id="httpwwwtrowepricecomroleScheduleAverageAnnualTotalReturnsTransposed000017">
        <link:definition>000017 - Schedule - Average Annual Total Returns {Transposed}</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/DocumentRiskReturnDetailUnlabeledT.RowePriceTax-FreeIncomeFund,Inc.InvestorClassShares" id="httpwwwtrowepricecomroleDocumentRiskReturnDetailUnlabeledTRowePriceTaxFreeIncomeFundIncInvestorClassShares">
        <link:definition>000018 - Document - Risk/Return Detail {Unlabeled} - T. Rowe Price Tax-Free Income Fund, Inc. (Investor Class Shares)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/DisclosureRiskReturnDetailDataElementsT.RowePriceTax-FreeIncomeFund,Inc.InvestorClassShares" id="httpwwwtrowepricecomroleDisclosureRiskReturnDetailDataElementsTRowePriceTaxFreeIncomeFundIncInvestorClassShares">
        <link:definition>000019 - Disclosure - Risk/Return Detail Data {Elements} - T. Rowe Price Tax-Free Income Fund, Inc. (Investor Class Shares)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/DocumentRiskReturnSummaryUnlabeledTRowePriceTaxFreeIncomeFundIncAdvisorClassShares000021" id="httpwwwtrowepricecomroleDocumentRiskReturnSummaryUnlabeledTRowePriceTaxFreeIncomeFundIncAdvisorClassShares000021">
        <link:definition>000021 - Document - Risk/Return Summary {Unlabeled} - T. Rowe Price Tax-Free Income Fund, Inc. (Advisor Class Shares)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleShareholderFees000022" id="httpwwwtrowepricecomroleScheduleShareholderFees000022">
        <link:definition>000022 - Schedule - Shareholder Fees</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleAnnualFundOperatingExpenses000023" id="httpwwwtrowepricecomroleScheduleAnnualFundOperatingExpenses000023">
        <link:definition>000023 - Schedule - Annual Fund Operating Expenses</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleExpenseExampleTransposed000024" id="httpwwwtrowepricecomroleScheduleExpenseExampleTransposed000024">
        <link:definition>000024 - Schedule - Expense Example {Transposed}</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleExpenseExampleNoRedemption000025" id="httpwwwtrowepricecomroleScheduleExpenseExampleNoRedemption000025">
        <link:definition>000025 - Schedule - Expense Example, No Redemption</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleAnnualTotalReturnsBarChart000026" id="httpwwwtrowepricecomroleScheduleAnnualTotalReturnsBarChart000026">
        <link:definition>000026 - Schedule - Annual Total Returns [BarChart]</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/ScheduleAverageAnnualTotalReturnsTransposed000027" id="httpwwwtrowepricecomroleScheduleAverageAnnualTotalReturnsTransposed000027">
        <link:definition>000027 - Schedule - Average Annual Total Returns {Transposed}</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/DocumentRiskReturnDetailUnlabeledT.RowePriceTax-FreeIncomeFund,Inc." id="httpwwwtrowepricecomroleDocumentRiskReturnDetailUnlabeledTRowePriceTaxFreeIncomeFundInc">
        <link:definition>000028 - Document - Risk/Return Detail {Unlabeled} - T. Rowe Price Tax-Free Income Fund, Inc.</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.troweprice.com/role/DisclosureRiskReturnDetailDataElementsTRowePriceTaxFreeIncomeFundIncAdvisorClassShares000029" id="httpwwwtrowepricecomroleDisclosureRiskReturnDetailDataElementsTRowePriceTaxFreeIncomeFundIncAdvisorClassShares000029">
        <link:definition>000029 - Disclosure - Risk/Return Detail Data {Elements} - T. Rowe Price Tax-Free Income Fund, Inc. (Advisor Class Shares)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
    </appinfo>
  </annotation>
  <import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
  <import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" />
  <import namespace="http://xbrl.sec.gov/rr/2012-01-31" schemaLocation="http://xbrl.sec.gov/rr/2012/rr-2012-01-31.xsd" />
  <import namespace="http://xbrl.sec.gov/dei/2014-01-31" schemaLocation="http://xbrl.sec.gov/dei/2014/dei-2014-01-31.xsd" />
  <import namespace="http://www.xbrl.org/dtr/type/non-numeric" schemaLocation="http://www.xbrl.org/dtr/type/nonNumeric-2009-12-16.xsd" />
  <element name="InvestorClassSharesMember" id="trptfifi_InvestorClassSharesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <element name="S000002163Member" id="trptfifi_S000002163Member" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <element name="C000005559Member" id="trptfifi_C000005559Member" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <element name="BarclaysMunicipalBondIndexMember" id="trptfifi_BarclaysMunicipalBondIndexMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <element name="LipperGeneralAndInsuredMunicipalDebtFundsAverageMember" id="trptfifi_LipperGeneralAndInsuredMunicipalDebtFundsAverageMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <element name="AdvisorClassSharesMember" id="trptfifi_AdvisorClassSharesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <element name="C000005560Member" id="trptfifi_C000005560Member" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
</schema>
</XBRL>