If you really need the owner entity to have a list of associated objects, you can achieve this by having a *-* association with your entity as owner.
How are you setting which object is the owner? With 1-* relationships, the owner should generally just be set to “default”, that should keep things working as intended.
As for the meaning of a parent-child relationship, Sebastiaan van den Broek covers it quite well in the answer here:
“It is (or can be at least), the side where you start drawing from and where the association is stored is the parent, but this parent is the * side which points at the 1 side. This makes it so the association field only has to contain 1 identifier in most cases, which is quite useful in foreign-key constructions (even though it doesn't work like that in the database currently).
It doesn't necessarily say anything about the logical relationship between the entities, especially not in this case where a (logical) parent can have multiple (logical) children.”
Here’s what the tutorial says:
ProgramItem should have 1-* reference on Artist.
I have the settings exactly as indicated, but there is no option for multiple artists associated with one program item. Only one artist associated with one program, one artist with multiple programs, or multiple artists with multiple programs.