English is a very flexible language but sometimes I get confused with all the possible variations.
pitched battle (pcht)
n.
1. An intense battle fought in close contact by troops arranged in a predetermined formation.
2. A fiercely waged battle or struggle between opposing forces.
I think a 'pitched' battle is one that is set in a particular location.
As opposed to a 'running' battle where both sides are mobile
WIKIPEDIA
A pitched battle is a battle where both sides choose to fight at a chosen location and time and where either side has the option to disengage either before the battle starts, or shortly after the first armed exchanges.