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  <xs:element id="codi_PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts" abstract="false" name="PaymentstoAcquireBusinessesNetofCashAcquiredandNetofTransactionsCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_BusinessCombinationStepAcquisitionPPERemeasurement" abstract="false" name="BusinessCombinationStepAcquisitionPPERemeasurement" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_BusinessCombinationStepAcquisitionInventoryRemeasurement" abstract="false" name="BusinessCombinationStepAcquisitionInventoryRemeasurement" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
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  <xs:element id="codi_DisposalGroupIncludingDiscontinuedOperationIntercompanyInterestExpenseExcludedfromIncomeLossfromDiscontinuedOperations" abstract="false" name="DisposalGroupIncludingDiscontinuedOperationIntercompanyInterestExpenseExcludedfromIncomeLossfromDiscontinuedOperations" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
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  <xs:element id="codi_ArnoldMagneticsMember" abstract="true" name="ArnoldMagneticsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_NumberOfClients" abstract="false" name="NumberOfClients" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="codi_NumberOfManufacturingFacilities" abstract="false" name="NumberOfManufacturingFacilities" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:positiveIntegerItemType"/>
  <xs:element id="codi_SternoCandleLampMember" abstract="true" name="SternoCandleLampMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_AmortizationOfDebtIssuanceCostsAndOriginalIssueDiscountMember" abstract="true" name="AmortizationOfDebtIssuanceCostsAndOriginalIssueDiscountMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_IdentifiableAssetsOfSegments" abstract="false" name="IdentifiableAssetsOfSegments" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_OfficeFurnitureComputersAndSoftwareMember" abstract="true" name="OfficeFurnitureComputersAndSoftwareMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_GoodwillAndOtherIntangibleAssetsTable" abstract="true" name="GoodwillAndOtherIntangibleAssetsTable" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrldt:hypercubeItem" type="xbrli:stringItemType"/>
  <xs:element id="codi_GoodwillAndOtherIntangibleAssetsLineItems" abstract="true" name="GoodwillAndOtherIntangibleAssetsLineItems" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
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  <xs:element id="codi_GoodwillImpairmentTestingFairValueExceedingCarryingValuePercent1" abstract="false" name="GoodwillImpairmentTestingFairValueExceedingCarryingValuePercent1" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="codi_TechnologyAndPatentsMember" abstract="true" name="TechnologyAndPatentsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_LicensingAndNonCompeteAgreementsMember" abstract="true" name="LicensingAndNonCompeteAgreementsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_DistributorRelationsAndOtherMember" abstract="true" name="DistributorRelationsAndOtherMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_FiniteLivedInProcessResearchAndDevelopment" abstract="false" name="FiniteLivedInProcessResearchAndDevelopment" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_TermLoanFacilityMember" abstract="true" name="TermLoanFacilityMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
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  <xs:element id="codi_LuganoFinancingArrangementsMember" abstract="true" name="LuganoFinancingArrangementsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_FifthAmendmentToCreditAgreementMember" abstract="true" name="FifthAmendmentToCreditAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
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  <xs:element id="codi_ManagementServiceAgreementWithCGMMember" abstract="true" name="ManagementServiceAgreementWithCGMMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
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  <xs:element id="codi_LLCSubsidiariesMember" abstract="true" name="LLCSubsidiariesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_DistributionsPayableAmountPerShare" abstract="false" name="DistributionsPayableAmountPerShare" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:perShareItemType"/>
  <xs:element id="codi_PercentageRepresenationOfTotalCreditExposure" abstract="false" name="PercentageRepresenationOfTotalCreditExposure" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="codi_LineOfCreditFacilityRevolvingCreditExposure" abstract="false" name="LineOfCreditFacilityRevolvingCreditExposure" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_LineOfCreditFacilityAdditionalBorrowing" abstract="false" name="LineOfCreditFacilityAdditionalBorrowing" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_LLCInvestments" abstract="false" name="LLCInvestments" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_StockholdersEquityTable" abstract="true" name="StockholdersEquityTable" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrldt:hypercubeItem" type="xbrli:stringItemType"/>
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  <xs:element id="codi_AtTheMarketEquityOfferingPreferredMember" abstract="true" name="AtTheMarketEquityOfferingPreferredMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_StockholdersEquityLineItems" abstract="true" name="StockholdersEquityLineItems" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="codi_DistributionExpensePreferredShareholders" abstract="false" name="DistributionExpensePreferredShareholders" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_AccruedDistributionPreferredShareholders" abstract="false" name="AccruedDistributionPreferredShareholders" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_PreferredStockCashDistributionsPaidPerShare" abstract="false" name="PreferredStockCashDistributionsPaidPerShare" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:perShareItemType"/>
  <xs:element id="codi_NetIncomeLossAvailabletoTrustStockNetofDistributions" abstract="false" name="NetIncomeLossAvailabletoTrustStockNetofDistributions" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_DistributionsForContributionBasedProfitAllocationPayments" abstract="false" name="DistributionsForContributionBasedProfitAllocationPayments" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_AtTheMarketOfferingCosts" abstract="false" name="AtTheMarketOfferingCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_PreferredStockDividendRateSpread" abstract="false" name="PreferredStockDividendRateSpread" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:pureItemType"/>
  <xs:element id="codi_EffectOfContributionBasedProfitOnNetIncomeLossBecauseOfHoldingEvent" abstract="false" name="EffectOfContributionBasedProfitOnNetIncomeLossBecauseOfHoldingEvent" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_NetIncomeLossAvailableToTrustStockNetOfHoldingEventAdjustment" abstract="false" name="NetIncomeLossAvailableToTrustStockNetOfHoldingEventAdjustment" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_AllocationInterestsMember" abstract="true" name="AllocationInterestsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_VelocityOutdoorOwnershipMember" abstract="true" name="VelocityOutdoorOwnershipMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_EffectiveIncomeTaxRateReconciliationNonRecognitionOfNolCarryForwardsAtSubsidiaries" abstract="false" name="EffectiveIncomeTaxRateReconciliationNonRecognitionOfNolCarryForwardsAtSubsidiaries" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="codi_TotalUndiscountedLeasePayments" abstract="false" name="TotalUndiscountedLeasePayments" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_LesseeOperatingAndFinanceLeaseLiabilityUndiscountedExcessAmount" abstract="false" name="LesseeOperatingAndFinanceLeaseLiabilityUndiscountedExcessAmount" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_OperatingAndFinanceLeaseLiability" abstract="false" name="OperatingAndFinanceLeaseLiability" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_OperatingAndFinanceLeaseLiabilityToBePaidRemainderOfFiscalYear" abstract="false" name="OperatingAndFinanceLeaseLiabilityToBePaidRemainderOfFiscalYear" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_OperatingAndFinanceLeaseLiabilityToBePaidYearOne" abstract="false" name="OperatingAndFinanceLeaseLiabilityToBePaidYearOne" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_OperatingAndFinancingLeaseLiabilityToBePaidYearTwo" abstract="false" name="OperatingAndFinancingLeaseLiabilityToBePaidYearTwo" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_OperatingAndFinancingLeaseLiabilityToBePaidYearThree" abstract="false" name="OperatingAndFinancingLeaseLiabilityToBePaidYearThree" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_OperatingAndFinancingLeaseLiabilityToBePaidYearFour" abstract="false" name="OperatingAndFinancingLeaseLiabilityToBePaidYearFour" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_OperatingAndFinancingLeaseLiabilityToBePaidAfterYearFive" abstract="false" name="OperatingAndFinancingLeaseLiabilityToBePaidAfterYearFive" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
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  <xs:element id="codi_DiamondFinancingLitigationMember" abstract="true" name="DiamondFinancingLitigationMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_TotalExitAndNonExitCosts" abstract="false" name="TotalExitAndNonExitCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_LeaseRightOfUseAsset" abstract="false" name="LeaseRightOfUseAsset" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_LeaseLiability" abstract="false" name="LeaseLiability" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_RelatedPartyVendorMember" abstract="true" name="RelatedPartyVendorMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_OwnershipPercentageRelatedPartyVendors" abstract="false" name="OwnershipPercentageRelatedPartyVendors" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="codi_QuarterlyManagementFeePercentageOfEntityAdjustedNetAssets" abstract="false" name="QuarterlyManagementFeePercentageOfEntityAdjustedNetAssets" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
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  <xs:element id="codi_QuarterlyIncentiveManagementFeePercentageOfEntityAdjustedNetAssets" abstract="false" name="QuarterlyIncentiveManagementFeePercentageOfEntityAdjustedNetAssets" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="codi_AnnualInternalRateOfReturn" abstract="false" name="AnnualInternalRateOfReturn" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="codi_SecondForbearanceAgreementMember" abstract="true" name="SecondForbearanceAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_IndentureForbearanceAgreementMember" abstract="true" name="IndentureForbearanceAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_ThirdForbearanceAgreementMember" abstract="true" name="ThirdForbearanceAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_FourthForbearanceAgreementMember" abstract="true" name="FourthForbearanceAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_FifthForbearanceAgreementMember" abstract="true" name="FifthForbearanceAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="codi_FixedPIKPayment" abstract="false" name="FixedPIKPayment" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_InterestPIKPayment" abstract="false" name="InterestPIKPayment" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="codi_ExcessOfProjectedCashDisbursements" abstract="false" name="ExcessOfProjectedCashDisbursements" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="codi_RestrictedPayments" abstract="false" name="RestrictedPayments" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
</xs:schema>
