In Western music theory, intervals play a crucial role, with 13 intervals from Tonic to Octave, such as Unison, Major Third, Tritone, and more. Visualizing these intervals in the Chromatic Circle and Circle of Fifths reveals geometric shapes, like lines, triangles, squares, hexagons, and dodecagrams. The Tetractys symbolizes Just interval ratios, with the Octave, Fifths, and Fourths represented. The Torus Knot Tone Circle offers a unique perspective, although incorrectly named in the source. Scales also introduce interesting geometric patterns, especially in symmetrical scales like C Major and C Natural Minor. Greek Modes share the same polygon shape as Major and Minor scales, with unique rotations for each mode.
https://roelsworld.eu/blog-music/music-geometry-intervals-scales/