ABSTRACT
The most important result of the perceived nodal structure of the pitch continuum is to give a means of measuring distance in the dimension of pitch. It is the existence of this underlying nodal structure and the resultant ability to define an audible metric on the dimension of pitch which permits in establishing subtly different nodal scales. The chapter also discusses that timbre is a multi-dimensional phenomenon. It is important to note that these sub-sets are not orderable in the sense that the nodes of the pitch continuum form an ordered set. The system of breath and pipe may be seen as a physical system having a number of distinct stable states, the fundamental and various harmonics. The important point for anyone concerned with structures evolving in the continuum is that there are clearly definable and distinct structures. In the end, the swallow's tail and butterfly catastrophe are illustrated and discussed.
