Commonly vs Normally - What's the difference?

Normally is a synonym of commonly.

is that commonly is as a rule; frequently; usually while normally is under normal conditions or circumstances; usually; most of the time.

(en adverb)

as a rule; frequently; usually

(obsolete) in common; familiarly

(Spenser)

(en adverb)

Under normal conditions or circumstances; usually; most of the time

Normally , I eat breakfast at 6am, but today, I got up late and didn't eat until 9.

In the expected or customary manner.

Lisa ate normally , until she realised that she was late for choir, when she sped up.

To a usual or customary extent or degree.

He was abnormally agitated, she only normally so.

(mathematics, statistics) In the manner of a variable with a Gaussian distribution.

* (most of the time) commonly, frequently, ordinarily * (in the expected manner) customarily, habitually, routinely