The Coltrane Circle

John Coltrane gave a hand-drawn diagram of the twelve tones to his friend, the multi-instrumentalist Yusef Lateef, who later published it in his Repository of Scales and Melodic Patterns. Musicians read the drawing in different ways. One common reading, used here, splits the twelve notes into two concentric rings, each a whole-tone scale. Every step around the circle of fifths jumps from one ring to the other, so the circle zigzags.

Pick every fourth note and you get a triangle of keys a major third apart. That’s the three-key system behind Giant Steps (1960), where the music jumps between B, G and E♭ instead of settling into one key.

Linking music and the cosmos goes back to the Pythagorean “music of the spheres”. Johannes Kepler’s Harmonices Mundi (1619) even assigned melodies to the planets. The circle of fifths and the zodiac share the same layout: twelve steps of 30°. This tool uses one common modern mapping, with Aries on C, and other traditions place the signs differently.

The fit is striking. The four elements (fire, earth, air, water) each form a trine, and trines land on the four augmented triads, the same major-third shape as Coltrane’s triangles. The three modalities (cardinal, fixed, mutable) each form a square, which matches the three diminished seventh chords. Yang and yin signs alternate, just as Coltrane’s two whole-tone rings do. And an opposition (180°) is the tritone. Treat all of this as symbolism, not science.