Hi Clayton Collins! It's great that you're teaching yourself basic music theory and exploring major scales. However, I must clarify a few points regarding major scales and their corresponding open string patterns on the guitar.
In standard tuning, where the strings are tuned to E, A, D, G, B, and E, the major scales that correspond to the open strings are:
E Major: Open E string serves as the root note (tonic).
A Major: Open A string serves as the root note (tonic).
D Major: Open D string serves as the root note (tonic).
G Major: Open G string serves as the root note (tonic).
B Major: This major scale doesn't have an open string as its root note. Instead, it is typically played using barre chords or by barring across multiple strings.
F Major: Similarly, F Major also doesn't have an open string as its root note. It is typically played using barre chords or other chord voicings.
The major scales that correspond to the open strings on a guitar are E, A, D, and G. The B and F major scales are commonly played using different chord shapes or scale patterns that involve barring or using specific fingerings.
As you continue learning music theory and exploring the guitar, it's important to understand the concept of transposition, where you can play the same scale or chord pattern in different positions on the neck to change the root note.
Keep up the good work in your music theory journey, and don't hesitate to ask if you have any more questions!