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  <xsd:element abstract="true" id="codi_DistributorRelationsAndOtherMember" name="DistributorRelationsAndOtherMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_DocumentAndEntityInformationAbstract" name="DocumentAndEntityInformationAbstract" nillable="true" substitutionGroup="xbrli:item" type="xbrli:stringItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_EffectOfContributionBasedProfitOnNetIncomeLossBecauseOfHoldingEvent" name="EffectOfContributionBasedProfitOnNetIncomeLossBecauseOfHoldingEvent" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element id="codi_EffectiveIncomeTaxReconciliationOperatingLossCarryforwardsLimitationsOnUsePercent" name="EffectiveIncomeTaxReconciliationOperatingLossCarryforwardsLimitationsOnUsePercent" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_EnvironmentalSoilManagementIncMember" name="EnvironmentalSoilManagementIncMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_ErgoMember" name="ErgoMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_ErgobabyMember" name="ErgobabyMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_ExpensesOfParentTaxedAsPartnershipPassedThroughToShareholders" name="ExpensesOfParentTaxedAsPartnershipPassedThroughToShareholders" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_FlexmagMember" name="FlexmagMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_FoamFabricatorsMember" name="FoamFabricatorsMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_FoxCreditFacilityMember" name="FoxCreditFacilityMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_GoodwillAndOtherIntangibleAssetsLineItems" name="GoodwillAndOtherIntangibleAssetsLineItems" nillable="true" substitutionGroup="xbrli:item" type="xbrli:stringItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_GoodwillAndOtherIntangibleAssetsTable" name="GoodwillAndOtherIntangibleAssetsTable" nillable="true" substitutionGroup="xbrldt:hypercubeItem" type="xbrli:stringItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_HoldingEventDurationSinceAcquisition" name="HoldingEventDurationSinceAcquisition" nillable="true" substitutionGroup="xbrli:item" type="xbrli:durationItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_IdentifiableAssetsOfSegments" name="IdentifiableAssetsOfSegments" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="debit" xbrli:periodType="instant" />
  <xsd:element id="codi_ImpactOfSubsidiaryEmployeeStockOptions" name="ImpactOfSubsidiaryEmployeeStockOptions" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_ImpairmentAssessmentAssumptionsWeightedAverageCostOfCapital" name="ImpairmentAssessmentAssumptionsWeightedAverageCostOfCapital" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_InterestRateCapPeriod" name="InterestRateCapPeriod" nillable="true" substitutionGroup="xbrli:item" type="xbrli:durationItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_InterestRateOnNotionalAmount" name="InterestRateOnNotionalAmount" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="instant" />
  <xsd:element id="codi_InterestRateSwap" name="InterestRateSwap" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="instant" />
  <xsd:element abstract="true" id="codi_LibertyMember" name="LibertyMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_LicensingAndNonCompeteAgreementsMember" name="LicensingAndNonCompeteAgreementsMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_LineofCreditFacilityMaximumBorrowingCapacityAdditionalAmountsAvailableForBorrowing" name="LineofCreditFacilityMaximumBorrowingCapacityAdditionalAmountsAvailableForBorrowing" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="instant" />
  <xsd:element abstract="true" id="codi_ManitobaHarvestMember" name="ManitobaHarvestMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_ManufacturingFacilityArea" name="ManufacturingFacilityArea" nillable="true" substitutionGroup="xbrli:item" type="num:areaItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_NetIncomeLossAvailableToTrustStockNetOfHoldingEventAdjustment" name="NetIncomeLossAvailableToTrustStockNetOfHoldingEventAdjustment" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element id="codi_NetIncomeLossAvailabletoTrustStockNetofDistributions" name="NetIncomeLossAvailabletoTrustStockNetofDistributions" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_NewInterestRateSwapMember" name="NewInterestRateSwapMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_NewLineOfCreditMember" name="NewLineOfCreditMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_NonRecognitionOfNolCarryForwardsAtAfm" name="NonRecognitionOfNolCarryForwardsAtAfm" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_NoncontrollingInterestTableTextBlock" name="NoncontrollingInterestTableTextBlock" nillable="true" substitutionGroup="xbrli:item" type="nonnum:textBlockItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_NoncontrollingStockholderChargesAndOther" name="NoncontrollingStockholderChargesAndOther" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_NorthernInternationalInc.Member" name="NorthernInternationalInc.Member" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_NumberOfClients" name="NumberOfClients" nillable="true" substitutionGroup="xbrli:item" type="xbrli:integerItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_NumberOfReportingUnitsAtArnoldSubsidiary" name="NumberOfReportingUnitsAtArnoldSubsidiary" nillable="true" substitutionGroup="xbrli:item" type="xbrli:integerItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_OfficeFurnitureComputersAndSoftwareMember" name="OfficeFurnitureComputersAndSoftwareMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_OptionActivityAttributableToNoncontrollingInterestHolders" name="OptionActivityAttributableToNoncontrollingInterestHolders" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element id="codi_Optionactivityattributabletononcontrollinginterestdiscontinuedops" name="Optionactivityattributabletononcontrollinginterestdiscontinuedops" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_OtherInternationalMember" name="OtherInternationalMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_OwnershipPercentageOfNoncontrollingShareholders" name="OwnershipPercentageOfNoncontrollingShareholders" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="instant" />
  <xsd:element id="codi_OwnershipPercentageOfTrustInterestHeldByParentEntity" name="OwnershipPercentageOfTrustInterestHeldByParentEntity" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_OwnershipPercentageRelatedPartyVendors" name="OwnershipPercentageRelatedPartyVendors" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_Ownershippercentageintercompanyloanagreement" name="Ownershippercentageintercompanyloanagreement" nillable="true" substitutionGroup="xbrli:item" type="num:percentItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_PaymentsOfDistributionsToShareholders" name="PaymentsOfDistributionsToShareholders" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element id="codi_PaymentsforRepurchaseSubsidiaryStock" name="PaymentsforRepurchaseSubsidiaryStock" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element id="codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts" name="PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_PercentageOwnershipFullyDilutedMember" name="PercentageOwnershipFullyDilutedMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_PercentageOwnershipPrimaryMember" name="PercentageOwnershipPrimaryMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_PermitsAndAirspaceMember" name="PermitsAndAirspaceMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_PreferredStockCashDistributionsPaidPerShare" name="PreferredStockCashDistributionsPaidPerShare" nillable="true" substitutionGroup="xbrli:item" type="num:perShareItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_PreferredStockSeriesAvalueissued" name="PreferredStockSeriesAvalueissued" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="instant" />
  <xsd:element id="codi_PreferredStockSeriesBValueIssued" name="PreferredStockSeriesBValueIssued" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="instant" />
  <xsd:element id="codi_PreferredstocksharesissuedSeriesB" name="PreferredstocksharesissuedSeriesB" nillable="true" substitutionGroup="xbrli:item" type="xbrli:sharesItemType" xbrli:periodType="instant" />
  <xsd:element id="codi_PreferredstocksharesoutstandingSeriesB" name="PreferredstocksharesoutstandingSeriesB" nillable="true" substitutionGroup="xbrli:item" type="xbrli:sharesItemType" xbrli:periodType="instant" />
  <xsd:element id="codi_ProceedsfromIssuanceofPreferredShares" name="ProceedsfromIssuanceofPreferredShares" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element id="codi_PropertyPlantAndEquipmentAndInventoryTextBlock" name="PropertyPlantAndEquipmentAndInventoryTextBlock" nillable="true" substitutionGroup="xbrli:item" type="nonnum:textBlockItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_PutOptionOfNoncontrollingShareholders" name="PutOptionOfNoncontrollingShareholders" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="instant" />
  <xsd:element abstract="true" id="codi_RavinCrossbowsLLCMember" name="RavinCrossbowsLLCMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_RavinMember" name="RavinMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_RelatedPartyVendorMember" name="RelatedPartyVendorMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_RimportsMember" name="RimportsMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_ScheduleOfIntangibleAssetsByMajorClassTableTextBlock" name="ScheduleOfIntangibleAssetsByMajorClassTableTextBlock" nillable="true" substitutionGroup="xbrli:item" type="nonnum:textBlockItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_SeasonalityPolicyTextBlock" name="SeasonalityPolicyTextBlock" nillable="true" substitutionGroup="xbrli:item" type="nonnum:textBlockItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_Seniornotesdue2026Member" name="Seniornotesdue2026Member" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_SternoCandleLampMember" name="SternoCandleLampMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_SternoProductsMember" name="SternoProductsMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_StockholdersEquityAttributabletoNoncontrollingInterestDiscontinuedOperations" name="StockholdersEquityAttributabletoNoncontrollingInterestDiscontinuedOperations" nillable="true" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType" xbrli:balance="credit" xbrli:periodType="instant" />
  <xsd:element abstract="true" id="codi_StockholdersEquityLineItems" name="StockholdersEquityLineItems" nillable="true" substitutionGroup="xbrli:item" type="xbrli:stringItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_StockholdersEquityTable" name="StockholdersEquityTable" nillable="true" substitutionGroup="xbrldt:hypercubeItem" type="xbrli:stringItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_TechnologyAndPatentsMember" name="TechnologyAndPatentsMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_TermLoanFacilityMember" name="TermLoanFacilityMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_TermLoanMember" name="TermLoanMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_TridienMember" name="TridienMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_VelocityOutdoorHoldingsMember" name="VelocityOutdoorHoldingsMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_VelocityOutdoorMember" name="VelocityOutdoorMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element abstract="true" id="codi_VelocityOutdoorOwnershipMember" name="VelocityOutdoorOwnershipMember" nillable="true" substitutionGroup="xbrli:item" type="nonnum:domainItemType" xbrli:periodType="duration" />
  <xsd:element id="codi_WeightedAverageNumberOfSharesOfTrustStockOutstandingBasicAndFullyDiluted" name="WeightedAverageNumberOfSharesOfTrustStockOutstandingBasicAndFullyDiluted" nillable="true" substitutionGroup="xbrli:item" type="xbrli:sharesItemType" xbrli:periodType="duration" />
</xsd:schema>
