In Search of the Missing Fundamental: by Richard K. Jones
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Strings and Air Columns: “The Competition”

What gives sound a sense of pitch, one with a pleasing tone that is pleasurable to the human ear is a set of composite vibrations that are balanced and congruous. The term Harmonic is used to describe this balance or congruity and these vibrations can be explained with a sequence of numbers. When vibrations are whole number multiples of each other they are considered harmonic. When vibrations are not whole number multiples of each other, they are said to be inharmonic. The first vibration in the series is called the fundamental. The secondary vibrations are called overtones or partials. These secondary vibrations can be harmonic or inharmonic.

Before exploring the complex nature of what constitutes timpani pitch, it will prove helpful to first explore what timpani pitch isn’t. This may seem somewhat paradoxical, but timpani exist in the palette of orchestral color where the majority of pitched instruments generate sound based on the harmonic series. An understanding of how the harmonic series applies to these instruments and how it doesn’t apply to timpani will bring to light why the careful tempering of timpani is paramount for any timpanist to master.

A thorough discussion of the acoustics of music is beyond the scope of this book.  This chapter will provide a brief overview of the fundamentals of the acoustics of music and how it applies to the standard grouping of orchestral/band instruments with which timpani are generally scored. I refer this complement of instruments as The Competition since they vibrate and generate pitch in a similar fashion, and blend well together naturally.  Timpani generate pitch in a completely different manner. Within the rich structure of the sound of timpani, there are but a handful of near or quasi-harmonic partials called  the preferred modes of vibration. These preferred modes must fit into the mix of natural harmonic partials generated by the other instruments. Timpani pitch, in a sense, has to compete with these instruments if it:

1) wants to sound in tune
2) wants to be able to blend and mix well with the ensemble

It is much easier to make beautiful music when one’s sound is in tune and blends with his or her neighbor’s. This holds true for any type of musical ensemble, regardless of whether your function is as a specific solo color, textural or supporting in nature. It is no wonder why the great timpani masters all talk of blending in with the other instruments. It is not often that the masters speak of wanting their sound to be consistently overt in the texture.

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