Vocal Ring,
or The Singer's Formant
One seemingly mysterious property
of the singing voice is its ability to
be heard even over a very loud orchestra.
At first glance, this is counter-intuitive,
since the orchestra is perceived by us
to be so much louder than
a single singer. The answer to this mystery
lies in the way the sound energy of the
operatic voice is distributed across
various
frequencies.
The Swedish voice scientist Johann Sundberg studied recordings
of the famous tenor Jussi Bjoerling in the 1970s, and found that the average
frequency spectrum of his voice had a large 'hump' at around 3000 Hz, especially
when Bjoerling was singing with loud orchestral accompaniment. That hump
is visible in the dotted line in the figure below, and is known as the 'singer's
formant':
Now, the reason that this is relevant lies in the 'Orchestra'
(solid) line. As you can see, the orchestra produces lots of energy at around
500 Hz, but falls off steadily at higher frequencies, producing relatively
little around 3000 Hz. The well-trained operatic voice produces quite a bit
of energy around 3000 Hz, however, and so it can be heard even above the
orchestra.
What is responsible for this strong vocal resonance? Sundberg
also studied this question by modeling a small resonator inside the vocal
tract, just above the vocal folds. For optimum resonance, this resonator
must be about one-sixth as long as the entire vocal tract, and also have
about one-sixth of the cross-sectional area of the vocal tract:
The closed end of this resonator is the glottis, and the
open end is the rim of the epiglottis.
It turns out that introducing this small contricted resonator
into the vocal tract causes the vocal spectrum to contain much more energy
at around 3000 Hz, as you can see in this animation. Note that as the left
end of the tube (representing the vocal tract) is gradually constricted,
the hump in the spectrum around 3000 Hz appears:
An animation demonstrates
the singer's formant
Research conceived and conducted by Dr. Brad Story of the
NCVS uses imaging technology to better understand the shape and subsequent
behavior of the vocal tract. The CT images shown below represent the air
spaces produced by an individual producing various vowel sounds.
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