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Timbre

Timbre


What is the difference between a tuba and a flute (or, more accurately, the sounds of each)? How do we tell the difference between two people singing the same song, even if they¡¯re singing exactly the same notes? Why do some guitars "sound" better than others do (besides the fact that they're older and cost more and have Eric Clapton's autograph on them)? What is it that makes things "sound" like themselves?

It is not necessarily the pitch of the sound (how high or low it is) ? if everyone in your family sang the same note, you could almost surely tell who was who, even with your eyes closed (it's not by smell, or even just the fact that grandma sings out of tune). It¡¯s also not just the loudness ? your voice is still your voice whether you talk softly or scream at the top of your lungs. So what¡¯s left? The answer is found in a somewhat mysterious and elusive thing we call, for lack of a better word timbre, and that's what this chapter is all about.

Actually, we have to admit that timbre (pronounced "tam-ber", and not "tim-ber" as in "look out below"!) is a kind of sloppy word, inherited from previous eras, that lumps together lots and lots of things that we don't fully understand. One of us thinks we should abandon that word and concept entirely, and compares it to the nineteenth century concept of the ether, through which lightwaves were supposed to travel. But it's one of those words that gets used a lot, even if it doesn't make much sense, so we'll use it here too? we're sort of stuck with it for the time being. Maybe the best definition for it is everything that's not pitch and amplitude (but even that doesn't work, because pitch and amplitude are part of timbre too... okay, we'll stop now).

What Makes Up Timbre?

As we mentioned, timbre can be roughly defined as all those qualities of a sound that aren't just frequency or amplitude. These qualities might include:

Spectra: the aggregate of simpler waveforms (usually sine waves) that make up what we recognize as a particular sound. This is what Fourier analysis gives us.

Envelope: the attack, sustain, and decay portions of a sound (often referred to as transients).

Envelope and spectra are very large concepts, and include a lot of sub-categories. For example, spectral features are very important, different ways that the spectral aggregates are organized statistically, in terms of shape and form. For example the relative "noisiness" of a sound is a result, in large part, of its spectral relationships Many facets of envelope (onset time, harmonic decay, spectral evolution, steady-state modulations) are not simply explained by just looking at the envelope of a sound. Researchers spend a great deal of time on very specific aspects of these ideas, and it's an exciting and interesting area for computer musicians to research.



Figure
This image illustrates the attack, sustain, and decay portions of a standard amplitude envelope. This is a very simple, sort of idealized picture (called a trapezoidal envelope). We are not aware of any actual, natural occurrence of these kinds of straight-lined sounds!


It's helpful here to bring another descriptive term into our vocabulary: spectrum. Spectrum is defined by a waveform's distribution of energy at certain frequencies. The combination of spectra (plural of spectrum) and envelope help us to define the "color" of a sound. Timbre is difficult to talk about, because it's hard to measure something subjective like the "quality" of a sound. This concept gives music theorists, computer musicians, and psychoacousticians a lot of trouble. However, computers have helped us make great progress in the exploration and understanding of the various components of what's been called, traditionally, timbre.