Mathematical Basis
for Scales 
lThird harmonic of A is E.
lThird harmonic of E is B.
lThird harmonic of B is F#.
l of F# is C#, of C# is G#, of G# is D#, of D# is A#, of A# is F, of F is C, of C is G, of G is D, and of D is back to A.
lThis is the entire chromatic scale!