I understand your difficulty here!
I’ve created my own solution and naming system based on practicality and the physical fingerings I play with rather than (what you have in the diagrams) what I consider a more abastract/theoretical approach to the notes on the fretboard.
I have three forms:
The Bird form (starts with middle finger on the root of the ionian/major scale)
The Jaco form (starts with the index finger on the root of the ionian/major scale)
The Pinky Form (*most challenging for everyone) - (starts with pinky on the root of the ionian/major scale)
Here’s my TAB layout:
(Ignore the bottom form - The Musician’s Institute Form - for now. It serves a different function of moving horizontally on the neck rather than vertically as all these other diagrams do.)
4 forms for the major scale.pdf (63.6 KB)
Each form contains all the other forms and becomes all the other forms.
And this will - hopefully - become evident in the practice.
Practice phase 1:
Practice these 3 forms as written as independent forms so that they are easy to play, deeply memorized and comfortable.
Pay careful attention to what finger begins AND WHAT FINGER ENDS each scale form.
Practice phase 2: Begin to extend scales across all 4 strings.
The Bird form doesn’t use the E string at all in this exercise.
How do you extend it down to the E string?
The form that descends from the Bird form is… Descending Jaco Form.
The Jaco Form ends on a 2nd finger on the root. The Bird form begins with 2nd finger on the root.
So - you’ve already practiced the fingering to play a descending scale starting with your middle finger. To do it, you have to visualize and play a descending Jaco form starting with your middle finger on the 3rd fret of the A string.
Another example - You play the Pinky form.
You end with first finger on the 5th fret of the G string.
If you index finger is on the root, you are in the Jaco form. You can now extend the form up 2 more notes.
So now you practice all 4 forms making sure you see where the forms connect to one another, and making sure you can play across all 4 strings in all forms.
Practice Phase 3:
Each scale form is a whole step shift from the next.
Starting with Bird, you can shift up a whole step and move into Jaco form.
From the Jaco form you can shift up a whole step and be into the Pinky Form.
From Pinky form you can shift up a whole step into Bird form again, this time with your low root on the E string.
This is about 4-6 months of dedicated scale focus and practice time condensed into one short post… sorry for the brevity.
But I’ve always had a really hard time and frustration with the encyclopedic “this is where all the notes are for your scale forever in all places” type of diagrams.
They are not how I think or play.
If the above is helpful to you, hooray!