Imagine the following situation: You decide to make a set of tuned chimes in the form of a number of aluminum tubes of graduated lengths. You start by making your first chime at some reasonable length. When you mount it and strike it with a suitable mallet, it sounds...
As many readers will already know, most musical sounds contain multiple frequencies. These frequencies come about as the results of different modes of vibration — that is, different patterns of vibratory movement — coexisting in the physical body that is...
