a common space for harmonic overtones
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is it something like that: Harmonic Content of Vowels what you are looking for? In this research by John Nichols about the Harmonic Content of Vowels is overtone singing mentioned. John Nichols writes:
"IV. Further Topics of Interest
Another thing I looked into are alternate methods of singing. One such method is overtone singing, a method in which the singer intentionally tunes the vocal tract to specifically bring out a higher harmonic, sometimes making it louder than the fundamental pitch. Overtone singing can sound like a person is singing one note while whistling a higher note at the same time. Another interesting style of singing is low throat singing. Some people suggest that in this method, the singer puts enough air through their vocal chords to vibrate the false vocal chords an octave lower than the note they are singing."
Interesting is his conclusion: "Overall, this was a rewarding and enlightening look into how we produce the vowel
sounds we do every day. I learned many things like what primarily distinguishes vowels, but my imperfect synthesized vowels suggest there is a little more to the story than just the harmonic amplitudes (perhaps phase or frequencies that fall between the exact harmonics). I learned more about how the voice works in general, and this knowledge has changed the way I think about singing. My testing pool was not wide enough to truly draw any conclusions from my data, but my results agree with the published results of the research I have been able to find on vowels, both spoken and sung."
Interesting, what do you mean ?