Mother nature is a fantastic architect. Be it high speed and low drag or slow and steady, materials are used efficiently to benefit any given environment. Turns out, there are specific ratios at use all the time in the formation of flora, fauna, and worlds beyond. The Golden Section is ubiquitous in nature, operating akin to a universal law[1]. The Platonic Solids are commonly believed to be at the root of each element in the periodic table[2], and therefore everything in the known universe.

I’ve always believed that if a proportion or ratio is commonly used in nature, then it ought to be employed in music and sound. So began my journey into creating new forms of music theory to express nature’s secret codes.

Kaleidoscope is the name of my ongoing music, math, & nature project. Kaleidoscope is available on the Patreon platform. See the video below for more information and how you can become a patron today!


Golden Section Musical Scale

I’ve been a fan of The Golden Section and its close cousin, the Fibbonacci series, for years. I’ve employed the ratio in myriad ways, but the most promising building blocks have been the following techniques:

Creating New Golden Section Rhythm Structures

Creating a 4 Note Scale based on the Golden Section
(currently for Kaleidoscope Patrons Only)


The Platonic Solids (or Platonic Polyhedra) are nature’s ultimate building blocks. The July 2017 installment of Kaleidoscope will present the Platonic Solids in musical rhythm, but for now you can read the details on the how-to at my Platonic Solid Poetry blog: The Platypus Letters. Also, all of of poems there are built on syllable structures based on the shapes’ ratios.

Platonic Solids in Music

1Padovan, Richard (2002). “Proportion: Science, Philosophy, Architecture”. Nexus Network Journal. 4 (1): 113–122. doi:10.1007/s00004-001-0008-7.

2Hecht, Laurence; Stevens, Charles B. (Fall 2004), “New Explorations with The Moon Model” (PDF), 21st Century Science and Technology, p. 58