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Nathalie Henrich, John Smith and Joe Wolfe: Harmonic singing (or overtone singing) vs normal singing

Harmonic singing (or overtone singing) vs normal singing

Harmonic singing shares techniques with diphonic singing, overtone singing, xoomi singing, sygyt singing, throat singing, Tuva singing etc. We explain some of the acoustics of this style of singing in terms of the measured acoustical response of the vocal tract. In this technique, the singer emphasises one high harmonic of the voice to such an extent that it is heard separately from the low pitched note being sung. Different notes in the harmonic series may be chosen by changing the frequency of the resonance in the vocal tract that gives rise to it.

For background information on speech and ordinary singing, see our introduction to the acoustics of the vocal tract. For background about our research and techniques, see this link. On this page, we begin by looking at how the vocal tract behaves for a whisper, where the resonances of the tract are most clear, then for normal singing, then for harmonic singing.

Whisper. In the first figure, a subject whispers the vowel in 'hoard'. We show the frequency response of the vocal tract (For an explanation of the measurements, follow this link.) The sound of the whisper itself is masked by the injected signal used to measure the vocal tract resonances. The figure shows several peaks, indicated by the arrows. At these frequencies, the sound produced at the vocal folds is most effectively transmitted as sound produced in the external air. (Technically, these are peaks in the acoustic impedance of the vocal tract. At these resonant frequencies, the tract operates most effectively as an impedance transformer between the relatively high acoustic impedance of the tract and the low impedance of the radiation field at the mouth.)

graph showing the frequency response of the vocal tract for a whisper

Normal singing. In the figure below, the subject sings the same vowel at the pitch Bb3 (117 Hz). In this graph, you can see the harmonics of the voice, and you can see that the fourth and sixth harmonics appear stronger in the sound spectrum because they are near resonances of the tract.

graph showing the frequency response of the vocal tract for a sung vowel OR

Over the range shown and for this vowel, this subject's vocal tract has six resonances, which are indicated by the arrows. Note that the subject changes the first two resonances a little between whispering and singing. The frequencies of these two resonances determine the vowel in a particular accent. It is not unusual for people to have different accents when whispering, speaking and singing. The higher resonances are also substantially changed, probably because rather different vocal mechanisms are used in whispering and singing.

Harmonic singing. The next graphs show two examples of harmonic singing. In this technique, one of the vocal tract resonances is made much stronger, while all the others are weakened. The strong resonance can be made so strong that it selects one of the harmonics and makes it so much stronger than its neighbours that we can hear it as a separate note. Hear it is the eighth harmonic that is amplified. Although the fundamental is only 8 dB lower than the selected harmonic, the fundamental lies in a range in which our ears are much less sensitive, so it sounds much less loud.

graph showing the frequency response of the vocal tract for harmonic singing

How do you do it? With some difficulty! One way to strengthen the second resonance, at the expense of the others, is to make a small mouth opening and also a relatively tight constriction between the tongue and the roof of the mouth. But mainly it takes a lot of practice, using feedback. Usually the feedback comes from finding a reasonably reverberant environment (bathroom, stairwell) and listening for the individual harmonics. (Another type of feedback is to use a of the spectrum, using your computer's sound card. Yet another display uses the graphs shown here, but this last is not readily available.)

In traditional practice, some singers hold the sung pitch (fundamental) constant, and then tune the vocal tract resonances to choose one or another harmonic. They can therefore play the 'instrument' using the natural harmonics, just like players of the natural trumpet or horn. Skilled practitioners can vary the voice pitch and the resonant frequency independently. In the next graph, the fundamental has been lowered and the resonance has been raised, with the result that it is the twelfth harmonic that is amplified.

/p> http://www.phys.unsw.edu.au/jw/RAVE/harmonicsinging2.gif
graph showing the frequency response of the vocal tract for armonic singing

For some harmonic singers, more complicated effects than those described here may be involved. It has been suggested that, for some sygyt singers, the strong resonance in the vocal tract may drive an oscillation in the false vocal folds. This could produce a stronger signal at the high pitch. Further, because the false vocal folds would be nonlinear oscillators, they would produce strong components at integral multiples of the high pitch frequency, ie at n*f0, 2n*f0, 3n*f0 etc. An example of such a spectrum and an explanation of the false vocal fold mechanism is given by Chen-Gia Tsai at this link.

This research is part of a project investigation the acoustics of singing in general. It is undertaken by Nathalie Henrich, John Smith and Joe Wolfe.

Some related pages and explanatory notes

* This style of singing was first popularised in the West by David Hykes, whose page is at this link. He points out that "harmonic singing" refers to a broader range of techniques than just the emphasis of an overtone.
* Chen-Gia Tsai's page on "acoustics of overtone singing"

* Some interesting results about the tuning of the vocal tract by sopranos.
* An introduction to the acoustics of the vocal tract (including wavefiles of helium speech)
* Our research on voice acoustics

Some explanatory notes

* What is a decibel?
* What is a sound spectrum?
* What is acoustic impedance and why is it important?
* "Music acoustics"
* "Basics": a list of introductory pages in acoustics.

* Dr Malte Kob, in Aachen, has recently developed a system working on similar principles to the one we use. See a photograph of the hardware


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