The Sabre is an interesting engine, not least because of the H configuration. Before the war, Brough had built a motorbike with an H4 engine, with two counter rotating crankshafts. Each crankshaft has just one throw, with the opposing pair of cylinders on the same throw. They are geared together so that all four pistons move together, eg one side of the engine is at top dead centre while the other side is at bottom. Both crankshafts have balance weights to fully balance their share of the reciprocating mass. Since the crankshafts rotate in opposite directions, the balance weights cancel each other in one plane, while acting in the same plane to counterbalance the reciprocating weight of the pistons. Since the rod swings are in opposite directions the secondary imbalance also cancels out. So the balance is perfect, and also the firing order is perfectly even, one cylinder firing every 180 degrees.
So getting back to the Sabre, when the H arrangement is applied to a 24 cylinder engine, you can achieve the same thing, except that you no longer need the balance weights. If each set of four pistons is all moving together as above, then the cranks can be made up just like a six cylinder engine, giving perfect primary balance without any need for balance weights. This would obviously be desirable for an aircraft engine.
The thing is, I don't know if the Sabre was actually set up like that…The only drawing I have implies that it was not, but that is an artists cutaway view, and the artist may not have realised the subtleties of the design.
John