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Porcius

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Except morale was a very important part of early modern battles - it still is for that matter. The number of historical instances where morale and small tech advantages defeated larger numbers is too large to recount. A 3000 to 5000 difference isn't all that big. Think Agincourt. Think Austerlitz.
 

Porcius

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For some reason, I read 3000 instead of 30 000....

Anyway, if the tech levels are close, a 6:1 force advantage will usually win. This is not to say that there won't be surprises - there will. But two similarly armed forces at the same tech level will usually yield victory to superior numbers.

But large American native armies and African armies need a lot of help even with a 6:1 advantage - as it should be. Likewise, the CRTs can change battles dramatically from one tech level to the next. Add a leader, a competent military monarch and a religious morale boost and you aren't exactly dealing in chump change.

If your cavalry light army is crossing a river in the snow while cut off from supplies and fighting a Reformed army led by Cromwell, a six to one lead might not be enough to save you.