So glad someone brought the musical use into this discussion of all things aeolian.
I will take you to task on only one minor point, your description of the mixolydian mode.
You have used a harmonic function (dominant seventh) for an intervallic function (minor seventh) when discussing the interval between A and G in the context of the modes.
Intervals can be major, minor, perfect, diminished and augmented.
Chords can be dominant 7ths, not intervals.
/pedantic soapbox mode
oh look, another self-aware pedant! soother, you have a kindred spirit here ; )