Music: How It Came to Be What It Is (Classic Reprint)

Excerpt from Music: How It Came to Be What It Is

The reason why some combinations of tones are more agreeable than others is that more undulations of the sound-waves coin cide. The octave Of any tone has two undu lations to one - that is, every other wave of the higher tone fits into one of the lower. The fifth has three waves to every two - that is, every third wave of the higher tone coin cides with one of the lower; the fourth has four to three, and so on.

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