Celestial Hierarchy

Did you know the entirety of twelve-tone chromaticism is not represented within the harmonic series until the 25th ratio? This pitch is identified diatonically as the submediant, la’, or the relative minor in relation to the fundamental.

This is, of course, if you consider the harmonic series’ seventh ratio to be a lowered 7th (not a raised 6th). There are some special melodies within this celestial hierarchy, resonating physic’s laws.

Editions