## Organa Music Group

*Musing The Golden Ratio* Though we have previously defined the Golden Ratio as a 'range' between 0.618 & 0.668; thereby including the Perfect 5th interval -- the true (mathematically correct) number for this exact ratio is at the lower end of the range -- 0.618. The difference in this range between the physical (0.666 = Perfect Fifth) and the mystical/mathematically-precise (0.618 = Minor 6th) is approximately one half-step... a rather large half-step, actually.

It turns out that this particular half-step is the one we find ourselves listening to (and playing around with) in those moments when we hear magic in our melodies... as its 'function' shifts through the roots of chord progressions that relate to a 'home' key center. It is the reason behind why the 'major 3rd' and the 'minor 3rd' (of a single key center) can sometimes be heard at the same time... in harmony.

Real Quick:

'C' (262hz) divided by 'Ab' (424hz) = 0.61792453 = Minor 6th