Here's an Easy Question About Ledgers and Legal Entities

We'd like to be able to account for intracompany using two different default clearing balancing segment values within one legal entity.  With one ledger this is not possible.  So how can we define more than one ledger within a single legal entity?  This will allow the legal entity (there is only one) to automatically and correctly use the appropriate BSV to balance unbalanced entries.
So we would end up with the following structure (I hope the format is retained).

                    LE MyCountryCo
                     |                        |
               Ledger A(123)      Ledger B (456)
                |                              |
          Div1, Div2 (OU A)      Div3, Div4 (OU

(default clearing balancing segment)

Seems simple enough to be able to reflect a single company operating in a single country that splits different business operations for accounting purposes and needs to resolve balancing segment imbalances using different clearing balancing segment values.  However, the only way I see to do this would be to create a new legal entity.  This looks mad to me since I would expect to be able to identify all the txn data for the BSV's for a LE via the associated ledgers but it looks like a single LE can only be associated with a single Ledger while a ledger