A Theory Behind the Flesch and Galamian Arpeggio Sequences

A special episode from the Violin Geek Blog! See http://www.laurelthomsen.com/Violin_Geek_Blog/Archive.html for more.
Two pedagogues. Two similar arpeggio patterns. Is the order of the Flesch and Galamian arpeggios arbitrary or do they contain some deeper wisdom? 
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