For hundreds of years - even back to the ancient Egyptians and Greeks - music has been based not on ONE scale but on seven different types of musical scale. The ancient Greeks called them ´modes,´ such as the Dorian mode and the Phrygian. I have proved that, although eight-note scales, they contain 12 different notes between the tonic and octave. I have further shown that these 14 notes are analogous to the 14 roots of the exceptional group G2. This is the group of automorphisms of the octonions, the last of the four possible classes of number. Some physicists (including myself) suspect strongly that octonions are the natural number system expressing the physics of superstrings. This would imply that octonions and the seven types of musical scales (of which the modern 12-note, equal=tempered scale is but an approximation) are different aspects of the same conceptual system. Music and the vibrations of superstrings would then be described by analogous kinds of mathematics.