Chromatic Spiral ~ Harmonic Series 3D

In previous versions of the Chromatic Circle I have introduced depth as a way of portraying pitch of notes but I’ve found it cumbersome. In researching for the Great Sphere I have come across the work of Marysol Gonzallez Sterling and her Biosonic webpage. There I saw the musical spiral amongst other things and it struck me as the obvious answer.

Here is the current version of the Chromatic Scale Spiral 3D as at 2013-05-23. The Spiral will be part of the Great Sphere.

Chromatic Spiral 2

The Spiral is displaying the Harmonic Series here. You can get more details on the Harmonic Series at the Wikipedia page but briefly it is a series of pitches present in all notes and the physics foundation for Western harmonic structure.

First_eight_harmonics_vertical 3D

Each note is another fraction along from the note before. If the low C pictured above is this first line (0-1) then the next C above that is the next line below (1/2). That’s an octave. The next note up is a 1/3 harmonic and lands on the G – the perfect fifth. The 1/4 gives an interval of a perfect fourth which brings us back to C. 1/5 makes a major third taking us to E, 1/6 is a minor third to get us to G and 1/7 is a subminor third to give us Bb. Next, the 1/8 gives us a supermajor second to get us back to C for the fourth time covering three octaves. And it doesn’t stop there.

Anyone with some musical theory knowledge will see that these notes make your standard chord. Although , the further along the series the less standard it is.

693px-Harmonic_partials_on_strings 3D