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(C maj scale, but use the notes from E to E) I would have explained it exactly the same way.
What fascinates me is that this ancient system is still with us -- carried from the early Xtian church via the church -- you can hear these modal scales all over the place (Vivaldi, Bach, Tschaikovsky, etc) but what REALLY thrills me is that jazz musicians improvise using these scales and are very fluent with them. (I'm classical, so I know about them but am not fluent.)
Again, thanks for all the wonderful articles you share here. 
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