We now incorporate the 4:3 perfect fourth (red) and 5:4 major third (purple) alongside the 2:1 octave (blue) and 3:2 perfect fifth (green), visualizing their distinct contributions across dimensions. From a pulsating point (1D) to a harmonic line (2D) to a sphere (3D), these frequencies shape the formation of a dodecahedron, highlighting the added complexity and harmony of the vibrational patterns.
The point pulsates with all four frequencies, each contributing to its size with a distinct color: 2:1 (blue), 3:2 (green), 4:3 (red), and 5:4 (purple). The new ratios add faster, more intricate pulsations.
The standing wave now shows each frequency’s contribution in color: 2:1 (blue), 3:2 (green), 4:3 (red), and 5:4 (purple). The 4:3 and 5:4 ratios add more nodes, creating a richer harmonic pattern.
The dodecahedron’s vertices oscillate with all four frequencies, with their movements color-coded: 2:1 (blue), 3:2 (green), 4:3 (red), and 5:4 (purple). Trails highlight the added complexity from the new ratios.