Meditation Etymology

I was never happy with the derivation or etymology as it is called of the word meditation. The dictionaries usually say it is from Latin meditatio, a thinking over.
I studied it out some more and worked out a different derivation as follows:
medi-tare: from ‘medi’ – Latin locative of medius=middle
(similar to medi-terranean, which means from the Middle Land)
So meditate means: “Seeking or finding the middle, midpoint or center”.
In other words locating the still center, (static source) of things, or communion with God if you wish. This makes a lot more sense to me.
And what is more this word can now be properly aligned with other activities that have a similar purpose.
de Nada