TRAPEZOID... (MULTIPLES OF TWOs AND THREEs)

This shows how we can measure an angle by increasing by two on one side, and by three on the other side. Musically we find that fifths ascend on one side, the hypotenuse, and descend on the other side. When we draw wave vibrations starting from the top we can visualize how the note might look. We also might try to picture whether the wave increases by halves one way and doubling the other way, corresponds to a progression by squares or cubes.