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I've never reasoned it soundly in my head ..but all inline 6 cylinders have the same firing order ..unlike any V or other inline application.
Gary,
look at a 6 cyl crank. 1 and 6 are TDC, 2 and 5 are the same, as are 3 and 4. The throws give you 1,5,3,6,2,4, to give you the lowest rocking couple (except for a double 3 cyl an example of which could fire two cylinders together 1-6, 5-2, 3-4, or 1-6, 3-4, 5-2)...would then have more torque pulsation than a normal fire 6.
All of the above could be reversed but there is no advantage as the two end cylinders are up at the same time, the two middles, and the two intermediates, so primary balance is assured.
You don't want all of the front cylinders firing, then all the rears, as it increases vibration and rocking.
A 4 cyl needs 1 and 4 at TDC same time, so 1 and 4 end up not next to each other. 1342, and 1243 really mean the same thing.
V-8s can be anywhere, depending on where the designer wants to be. A 90 degree V-twin can have perfect primary balance. A V-6, or a V-8 can be made to take advantage of this. Firing order then tries to stop the end to end vibrations that could make the engine rock front/rear...some firing orders (e.g. SBC) sound great, others (like the Holden) sound second best. Optimisation of firing order can help crankshafts to last, by stopping reversals in torque on specific bearings.