There is a DEAD EASY way of learning the major scale (and all its modes). After years of avoiding the hassle of memorizing all the many apparent shapes for these scales, I stumbled across an approach that had me learn all the modes, mentally, in about 10 minutes. About an hour with this four-note, pattern-based approach I had all the modes in my fingers. I now have total freedom over the entire neck when soloing or improvising supportive bass lines. To the point I don't have to think about it much.
Basically, you learn 4 note "tetrachords". To create any of the modes, you simply stack two tetrachords together.
Here is the major tetrachord, for a G major scale
E
D
A x|B|C|x|
E x|x|G|x|A
To create a full, 8-note major scale, you stack two of these major tetrachords on top of each other, separated by a whole step. See how this works below, with the first major tetra chord we did above in italics, and the second major tetrachord in bold. Notice how each major tetrachord is EXACTLY the same pattern/shape.
E
D x|x|x|F#|G|x
A x|B|C|x |D|x|E|
E x|x|G|x |A
Essentially, you boil down all 7 modes to four, four-note patterns you string together in pairs. And the patterns are so easy, four of the patterns are exactly the same tetrachord stacked on top of itself.
If you or anyone finds this approach useful, let me know and I will share the other 3 tetrachord shapes and how to put them together to create the dorian, phrygian, mixolydian, lydian, aeolian and locrian scales. It is DEAD EASY!!!
I read your later posts going back and forth with rocktometrist and agree that (m)any perspective(s) is/are good. After looking for 2 minutes, and relatively fully understanding nomenclature and modes/scales/patterns, I can't make heads or tails of your charts above and the first thing that comes to mind is "is the far left column supposed to be the nut notes GDAE or what? You have EDAE so I stopped shortly thereafter before I try going down a trail I can't get out of. And is "major" tetrachord used to mean "tonally major" or, rather, "prominent/primary" because you haven't mentioned "minor tetrachord" so we have nothing to compare major to. I'd like to see the full menu of what you are presenting so that I can get a better chance of grasping it all. Thanks.