Harmonic Mean: Music Proportions

This lecture covers the concept of harmonic mean and its application in music proportions, exploring the relationships between arithmetic, geometric, and harmonic means. It delves into the construction of these means using ruler and compass, as well as their significance in musical intervals. The lecture also discusses the invariance by projection of the harmonic ratio and its historical importance in architecture. Through examples, it illustrates how the harmonic mean can be used to create harmonious musical chords and how it influenced architectural design. The presentation concludes with a reflection on the intersection of visual proportions in architecture and acoustic proportions in music.