How can I move a child scope to a different parent scope

I am on eB version 15.6 and I am using scopes to separate distinct business units that have different business processes.  In the provisioning sheet my scope tab looks something like the following:

Scope Name Parent Scope Name Enabled Scope Id Namespace Id
Global Y 1 1
Base Global Y 2 2
New Global Y 5 5
Blue New Y 6 6
Red New Y 7 7
Yellow New Y 10 10
Purple New Y 11 11
Green New Y 12 12
Black New Y 13 13
Orange New Y 14 14

I want to change Yellow's Parent Scope to Base from New so that all of the data (configuration and transactional) that is in Yellow's scope now falls underneath the Base scope hierarchy.

I can't accomplish this switch from provisioning tool and can't do it from Director so how do I make this happen?