<?xml version="1.0" encoding="US-ASCII" ?>
    <!-- Field: Doc-Info; Name: Generator; Value: GoFiler Complete; Version: 5.21b -->
    <!-- Field: Doc-Info; Name: VendorURI; Value: https://www.novaworks.com -->
    <!-- Field: Doc-Info; Name: Status; Value: 0x00000000 -->
    <!-- Field: Doc-Info; Name: Misc; Value: +KIpo7xRiXgen8uAZHZcOaWO+bPtxZ97uekhsmR8bXk6byAkNPs5TC07T6CGkRUE -->
<schema xmlns="http://www.w3.org/2001/XMLSchema" 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:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:dei="http://xbrl.sec.gov/dei/2023" xmlns:cef="http://xbrl.sec.gov/cef/2023" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2022-03-31" xmlns:ggt="http://gabelli.com/20231231" elementFormDefault="qualified" targetNamespace="http://gabelli.com/20231231">
    <annotation>
      <appinfo>
        <link:linkbaseRef xlink:type="simple" xlink:href="ggt-20231231_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:title="Presentation Links" />
        <link:linkbaseRef xlink:type="simple" xlink:href="ggt-20231231_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:title="Label Links" />
        <link:linkbaseRef xlink:type="simple" xlink:href="ggt-20231231_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:title="Definition Links" />
      </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/dei/2023" schemaLocation="https://xbrl.sec.gov/dei/2023/dei-2023.xsd" />
    <import namespace="http://fasb.org/us-types/2023" schemaLocation="https://xbrl.fasb.org/us-gaap/2023/elts/us-types-2023.xsd" />
    <import namespace="http://www.xbrl.org/dtr/type/2022-03-31" schemaLocation="https://www.xbrl.org/dtr/type/2022-03-31/types.xsd" />
    <import namespace="http://xbrl.sec.gov/cef/2023" schemaLocation="https://xbrl.sec.gov/cef/2023/cef-2023.xsd" />
    <import namespace="http://xbrl.sec.gov/cef-pre/2023" schemaLocation="https://xbrl.sec.gov/cef/2023/cef-2023_pre.xsd" />
    <import namespace="http://fasb.org/srt/2023" schemaLocation="https://xbrl.fasb.org/srt/2023/elts/srt-2023.xsd" />
    <import namespace="http://fasb.org/srt-types/2023" schemaLocation="https://xbrl.fasb.org/srt/2023/elts/srt-types-2023.xsd" />
    <element id="ggt_CommonStocksMember" name="CommonStocksMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_CommonSharesMember" name="CommonSharesMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SeriesCCumulativePreferredStockMember" name="SeriesCCumulativePreferredStockMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SeriesECumulativePreferredStockMember" name="SeriesECumulativePreferredStockMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SeriesGCumulativePreferredStockMember" name="SeriesGCumulativePreferredStockMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_CumulativePreferredStocksMember" name="CumulativePreferredStocksMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_PurchaseTransactionMember" name="PurchaseTransactionMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SaleTransactionMember" name="SaleTransactionMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_DividendsOnPreferredSharesNotIncludedMember" name="DividendsOnPreferredSharesNotIncludedMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SeriesBCumulativePreferredStockMember" name="SeriesBCumulativePreferredStockMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_MarketRiskMember" name="MarketRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_InterestRateRiskGenerallyMember" name="InterestRateRiskGenerallyMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_InflationRiskMember" name="InflationRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_ConvertibleSecuritiesRiskMember" name="ConvertibleSecuritiesRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_EquityRiskMember" name="EquityRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_CommonStockRiskMember" name="CommonStockRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_PreferredStockRiskMember" name="PreferredStockRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_WarrantsAndRightsRiskMember" name="WarrantsAndRightsRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_NonInvestmentGradeSecuritiesRiskMember" name="NonInvestmentGradeSecuritiesRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_ShortSalesRiskMember" name="ShortSalesRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_IndustryConcentrationRiskMember" name="IndustryConcentrationRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SmallerCompaniesInvestmentRiskMember" name="SmallerCompaniesInvestmentRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_MarketValueAndNetAssetValueMember" name="MarketValueAndNetAssetValueMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_ForeignSecuritiesRiskMember" name="ForeignSecuritiesRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SpecialRisksRelatedToInvestmentInDerivativeTransactionsMember" name="SpecialRisksRelatedToInvestmentInDerivativeTransactionsMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SecuritiesOfInvestmentCompaniesRiskMember" name="SecuritiesOfInvestmentCompaniesRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_LongTermObjectiveNotCompleteInvestmentProgramRiskMember" name="LongTermObjectiveNotCompleteInvestmentProgramRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_ManagementRiskMember" name="ManagementRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_DependenceOnKeyPersonnelMember" name="DependenceOnKeyPersonnelMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_MarketDisruptionAndGeopoliticalRiskMember" name="MarketDisruptionAndGeopoliticalRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_EconomicEventsAndMarketRiskMember" name="EconomicEventsAndMarketRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_RegulationAndGovernmentInterventionRiskMember" name="RegulationAndGovernmentInterventionRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_LIBORRiskMember" name="LIBORRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_LegalTaxAndRegulatoryRiskMember" name="LegalTaxAndRegulatoryRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_Act1940RegulationMember" name="Act1940RegulationMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_LegislationRiskMember" name="LegislationRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_RelianceOnServiceProvidersRiskMember" name="RelianceOnServiceProvidersRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_LoansOfPortfolioSecuritiesRiskMember" name="LoansOfPortfolioSecuritiesRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_CyberSecurityRiskMember" name="CyberSecurityRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_MisconductOfEmployeesAndOfServiceProvidersRiskMember" name="MisconductOfEmployeesAndOfServiceProvidersRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_AntiTakeoverProvisionsMember" name="AntiTakeoverProvisionsMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SpecialRisksToHoldersOfCommonStockMember" name="SpecialRisksToHoldersOfCommonStockMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_CommonStockDistributionPolicyRiskMember" name="CommonStockDistributionPolicyRiskMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SpecialRisksToHoldersOfFixedRatePreferredSharesMember" name="SpecialRisksToHoldersOfFixedRatePreferredSharesMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SpecialRisksForHoldersOfAuctionRatePreferredStockMember" name="SpecialRisksForHoldersOfAuctionRatePreferredStockMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_SpecialRiskForHoldersOfSubscriptionRightsMember" name="SpecialRiskForHoldersOfSubscriptionRightsMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ggt_AdditionalRisksRelatingToDerivativeInvestmentsMember" name="AdditionalRisksRelatingToDerivativeInvestmentsMember" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
</schema>
