Gratitude to ‘The Magic of Math: Solving for x and Figuring Out Why’ by Arthur Benjamin for inspiring this idea.
“142857, the six repeating digits of 1/7 (0.142857), is the best-known cyclic number in base 10. If it is multiplied by 2, 3, 4, 5, or 6, the answer will be a cyclic permutation of itself, and will correspond to the repeating digits of 2/7, 3/7, 4/7, 5/7, or 6/7 respectively.” – Wikipedia
Locrian Mode is chosen for sequencing the arpeggios because it is the seventh mode of the major scale.