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John Coltrane's Music & Geometry. Note: this article is a "work in progress".

John Coltrane's Music & Geometry

There is a lot more to "figure out" about Coltrane's work, so the content of this article might change. In this article I will use and refer to the "Coltrane Tone circle". John Coltrane Draws a Picture Illustrating the Mathematics of Music. Physicist and saxophonist Stephon Alexander has argued in his many public lectures and his book The Jazz of Physics that Albert Einstein and John Coltrane had quite a lot in common.

John Coltrane Draws a Picture Illustrating the Mathematics of Music

Alexander in particular draws our attention to the so-called “Coltrane circle,” which resembles what any musician will recognize as the “Circle of Fifths,” but incorporates Coltrane’s own innovations. Coltrane gave the drawing to saxophonist and professor Yusef Lateef in 1967, who included it in his seminal text, Repository of Scales and Melodic Patterns.

Fractale

Avec Jacques Attali. Fractales. Avec Edgar Morin. The drawing by John Coltrane that appears at the beginning of Yusef Lateef's "Thesaurus" Stratégie et plannification.