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Coltrane's Tone Circle: Unlocking the Geometry of Jazz

2025-09-03

This article delves into John Coltrane's Tone Circle, a fascinating blend of music theory and geometry. It reveals the hidden hexatonic scales, pentagrams, hexagrams, and connections to his composition "Giant Steps." The article analyzes different versions of the circle, explores the meaning of the numbers and lines, and connects it to mystical symbols like the Merkaba. Coltrane's Tone Circle showcases not only his deep understanding of music but also his keen interest in mathematics, philosophy, and mysticism.

Music and Geometry: A Geometric Interpretation of Intervals and Scales

2024-12-19

This article explores the fascinating connection between music and geometry, specifically how intervals and scales are represented in geometric shapes. Using the relationships of intervals in twelve-tone equal temperament, the author constructs various geometric figures such as lines, triangles, squares, hexagons, dodecagons, and dodecagrams. These visuals illustrate the relationships between different intervals. The article also delves into just intonation, Greek modes, and symmetrical scales, offering a unique perspective on music theory through geometric visualization.