This post is inspired by a drawing that I found by the Jazz musician, John Coltrane. something about it was magnetic to me and has kept me curious…
Here is the drawing:
Sometime in the mid-1960s, Coltrane sketched this circular map of tones and intervals and gave it to Yusef Lateef. Lateef later included it in his seminal Repository of Scales and Melodic Patterns. Today it’s often called the “Coltrane Circle,” and at first glance it looks like something any musician might recognize: a cousin of the Circle of Fifths, a wheel of the twelve tones, a way of seeing pitch instead of just hearing it.
But when you sit with it, really sit with it, as I have, you realize it isn’t just a practice sketch. It’s a whole cosmology of sound…a worldview; A geometry of sound, that leaps off the page.
Physicist and saxophonist Stephon Alexander writes about this in his book The Jazz of Physics. He describes encountering Coltrane’s diagram and feeling, almost instantly, that he was looking at something more than music theory. To him, it carried the same kind of geometric intuition that drives modern physics, the same instinct that led Einstein to describe gravity not as a force, but as the curvature of space and time itself.
you might say…they were speaking Different languages, but shared the Same impulse.
Both Coltrane and Einstein were, in their own ways, listening for structure beneath the surface, the musical cosmos. Both were searching for the hidden order that doesn’t reduce mystery, but deepens it, opens up worlds in us.
We’re often taught that music is emotional and physics is rational. That one belongs to the heart and the other to the mind. But that division has always felt a little artificial to me. When you look at Coltrane’s work, especially in his later years, you see someone who wasn’t just playing songs. He was mapping reality. He was asking how sound moves, how it organizes itself, how it can travel through tension and release, chaos and coherence, and still return us to something whole.
The Coltrane Circle hit me as one expression of that question. Yes, it’s a twelve-tone circle. Yes, it has relationships that overlap with familiar tools like the Circle of Fifths. But it’s organized around deeper symmetries too: whole-tone divisions, tritone relationships, chromatic pathways that suggest motion rather than stasis. It’s less about functional harmony and more about fields of relationship. Less about “where do I go next?” and more about “what is the shape of this sonic universe I’m moving through?” I know this may not interest some…but I’m gonna go deeper.
That’s a very different question…one that leaves both normal realms of physics and music behind…
Yusef Lateef described Coltrane’s music as a spiritual journey, rooted in what he called “autophysiopsychic” music: music that arises from the whole self, body, mind, and spirit together. In that light, the diagram stops being a clever theoretical device and starts looking like a mandala. A way of seeing the total field. A way of orienting yourself inside a living system of sound.
And this is where Stephon Alexander’s insight becomes so beautiful. He doesn’t claim that Coltrane was secretly doing physics, or that Einstein was secretly writing jazz. He’s pointing to something subtler and, to me, much more interesting: that both were guided by geometry, by symmetry, by an intuitive sense that reality has shape, and that those shapes can be felt, not just calculated.
In physics, symmetry isn’t for decoration, it’s harmonic law. It’s how we know what’s conserved, what’s possible, what transformations leave the deeper structure intact. In music, symmetry shows up as scales, cycles, intervals, repeating and evolving patterns that our nervous systems recognize long before our intellect names them.
When you hear Coltrane move through key centers in something like Giant Steps, you’re not just hearing virtuosity. You’re hearing someone explore a geometric space at high speed. You’re hearing motion through a tonal landscape that has axes, centers, and strange, beautiful…
Don’t take my word for it, Listen for yourself:
Einstein did something similar with spacetime. Instead of treating gravity as a push or pull, he asked what happens if space itself is curved. Suddenly, motion isn’t just movement through a grid. It’s movement along a shape. Objects don’t just travel. They follow the geometry of the field they’re in.
Sound does that too.
Your voice does that too.
When we sing, when we tone, when we let sound move us instead of trying to control it, we’re not just producing notes. We’re tracing pathways through an invisible architecture. We’re surfing a field of resonance that already has contours, tendencies, and centers of gravity.
This is why I don’t think Coltrane’s diagram is really about scales.
It’s about belonging to a larger pattern.
It’s about remembering that music isn’t something we impose on silence. It’s something we reveal in it. The relationships are already there. The symmetries are already there. We’re just learning how to listen for them, and how to move with them without collapsing them into rules. In fact, we are born knowing how to perceive this form of Beauty…
There’s a quote often attributed to Thelonious Monk: “All musicians are subconsciously mathematicians.” Whether or not he said it exactly that way, the sentiment rings true. But Coltrane feels like someone who made that mathematics conscious, not to become more mechanical, but to become more free. To feel the grid and then transcend it. To know the map and then use it as a doorway, not a cage.
That’s the part that matters to me.
This isn’t about turning music into numbers or spirit into equations. It’s about recognizing that the same intelligence moves through all of it. The same ordering principle that shapes galaxies also shapes overtones. The same instinct that guides a physicist toward elegant equations guides a musician toward a resonant phrase.
Different instruments, same listening.
In our work with voice, we talk a lot about the body as an instrument and the nervous system as a tuning system. When you start to feel sound this way, you realize you’re not just making expression. You’re navigating a field. You’re participating in a living geometry that includes breath, tissue, memory, emotion, and attention.
That’s musical cosmology to me. That’s what originally struck me…
Not the idea that music explains the universe in some neat, poetic slogan. But that music is one of the ways the universe practices being itself through us. That when we sing, we’re not just telling our story. We’re tracing the curves of something much larger, something that existed before us and will continue long after us.
Coltrane’s circle isn’t a final answer. It’s an invitation beyond these three dimensions…
So is Einstein’s spacetime.
So is your own voice.
They’re all asking the same quiet, radical question: What if reality isn’t made of things, but of relationships? And what if sound is one of the ways we learn to feel those relationships from the inside?



















