The Geometry of Music: Sound, Ratios, Shapes & Rhythm

Every song you have ever loved is built from a handful of simple patterns: vibrations, ratios, circles and cycles. In this animated explainer, we take music apart piece by piece and look at it the way a mathematician would: as waves, as fractions and as shapes. You'll see why every pure tone is secretly a rotation, how the harmonic series hides inside every note, why simple frequency ratios sound consonant (and what consonance looks like as a Lissajous figure), where the Pythagorean comma comes from and how equal temperament fixes it, how scales and chords become polygons on the circle of fifths, and how Euclid's algorithm generates rhythms from Cuban son to Brazilian samba. CHAPTERS 0:00 Intro 0:29 What is sound? 1:19 Frequency & the circle 2:28 Harmonics & timbre 3:56 Intervals & ratios 5:22 Beats & dissonance 6:34 The circle of fifths & the Pythagorean comma 8:05 Scales & chords as shapes 10:18 Rhythm as geometry 12:33 Orbits: a rhythm from arithmetic 13:46 Outro Frequencies are rotations. Harmony is ratio. Rhythm is geometry in time. #musictheory #math #geometryofmusic