There is an interesting phenomenon in choral (and perhaps also instrumental?) singing in which typically four voices are arranges in such a way that a 'fifth voice' or 'ghost voice' can be heard. It is not terribly well documented, but Barbershop makes use of it fairly often (see here for some explanation and here for some audio example. I've also found some examples of traditional 4-part songs from Sardinia where this phenomenon is used, as thoroughly described here (only in French), including frequency analysis and all.
What examples of the same phenomenon in classical music. Most examples can probably be found in Renaissance music, but I am not sure of this. I found one very good example in a piece by Cipriano da Rore: Mia benigna fortuna (Audio example here). In this piece, at the end of the first phrase, you can clearly hear a voice that isn't actually sung. This is the score:
I would very much like to hear if people know different examples of the same phenomenon in classical music, perhaps in Renaissance music but maybe also in other styles. Also, is anyone aware of literature on this topic specifically?
Adding an example to jjmusicnotes' great answer: a ghost "tenor" (that is the third voice from the top) happens in many cases where two flutes or even a flute and a clarinet play a minor third apart in the range near the top of the treble clef staff and create a difference tone of 2*frequency(lower) - frequency(upper) which is also approximately minor third below the lower note, creating the impression of a diminished triad. An acoustics textbook I once read mentioned this as taking place at the end of a flute duet in a symphony by Vaughn Williams. I've heard it very strongly when playing a flute duet by Kuhlau (op. 81, no. 1) on flute and clarinet at m. 114 (1:28 at ; score: -3_Brilliant_Duos__Op_81__2_Flutes_.pdf) -- it's noticeable on the recording but incredibly loud when played with flute and clarinet. Of course the acoustics of the space have a lot to do with whether ghost voices emerge or not; hence why the Sardinians you mention sing very close to each other, facing inwards. (In their music, the fifth voice is called La Quinta or La Quintina -- the little fifth; note the feminine)
As you mentioned in your question, there is little documentation about this phenomenon. Therefore I will preface my answer by saying that it (my answer) is speculation based from what knowledge I have of acoustics, historical performance practice, and literature.
I am not aware of any piece of music that was conceived with the intention of being constructed with or around the ghost-voice phenomenon. Considering that it is most prominent using just intonation, we could then surmise that musicians during the Renaissance and early Baroque periods most likely experienced ghost-voices since secular musical material consisted dominantly of motets and chansons and Just Intonation was the primary tuning system.
That said, since the tuning system itself was different (and the notation stayed the same, generally speaking,) that would mean that even if Renaissance motets were sung in a contemporary setting, they would be sung and tuned in an Equal-Temperament system. Therefore, to properly experience this phenomenon in the literature, you would have to time travel approximately 500-700 years in the past in order to hear the music in its proper (original) temperament.
In Just Intonation, the emphasis is on tuning perfect octaves and fifths as they are the easiest interval to hear apart from the unison. These intervals were tuned "perfectly" - regardless of their proximity to other, less important intervals.
For their lowest pitches, pipe organs actually make use of their own phenomenon called combination tones in which two pipes of equal length will vibrate at the same pitch adjacent to one another. The additive combination of their frequencies / wavelengths produces a perceived sound an octave lower.
Singing a perfect fifth or a perfect octave in Just Intonation allows combination tones to flourish as they are tuned to small whole integers and not a fractional ratio like Equal Temperament. If you follow the link on combination tones, you'll see that they can even produce multiple perceived pitches as the "sum" or the "difference" between the two pitches.
Therefore, when you experience a "ghost voice" in a piece of music, it is the result of combination tones highlighting upper partials in the overtone series - creating the illusion that more pitches are being produced than are physically being produced.
Other examples of this type of phenomenon may be found in Tuvan Throat / Overtone Singing in which individuals manipulate their vocal folds to reinforce particular harmonics - frequently often able to produce several pitches simultaneously. These are quite a bit different than combination tones, but it is part of their performance practice.
From Tuva, cases may also be made for Tibetan throat singing and perhaps even Russian Orthodox singing technique as well. So, while it is difficult to produce documentation or literature in the Western musical tradition concerning "ghost voices" examples of this phenomenon can be logically considered to have existed in historical practice and in Eastern cultures around the world.
I am not an authority on the subject of ghost/fifth voice -- but I do sing in choir and in a Barbershop Chorus / quartet. the latter of which intentionally seeks to produce the Fifth voice quite often in songs.
It is my understanding that the fifth Voice is achieved when the vibratory frequency of the 4 part vocalizations blend together in a precise way. You hear the phenomena mainly with voices like those heard in barbershop.
The equal temperament tuning of modern instruments (A-440), prevents the necessary original frequencies of vibrations from occurring. However, the human voice is not restricted in the way that a piano keyboard is restricted. The human voice can sing all the frequencies between the notes on the keyboard.
At one point in the past -- it was decided that there were advantages to having more range /notes on the piano keyboard, but it wasn't as simple as just adding notes to the left and right of middle C. This was because the further you went out to the left or right the more the notes tended to become unpleasant when combined with other instruments.
To get the wider range of notes, it was decided it would be best to make ALL the notes "equally out of tune" (The notes at the extremes sounded better but it left the other notes slightly less pure). The difference between the new notes vs original notes was hardly perceptible to the average listener.
Interesting discussion. Apparently, if the root frequency is removed electronically from a note with only the overtones remaining, the human ear/brain actually "hears" the root tone as well. There seems to be many ways in which overtones are "used" by musicians to create additional melody lines. Anna-Maria Hefele can actually sing two melodies at the same time by controlling the overtones with the shape of her mouth. The fifth "ghost soprano" seems to be a different use of overtones where the quartet voices enhance and enlarge specific pitches producing the sound appearance of a fifth voice. I believe at one time in the religious communities they believed that if the quartet sang perfectly enough the Virgin Mary joined them. The study of overtones is very interesting, and is related to the study of how our brain processes music.
Mira walked over to where I was sitting and asked that question. She had been standing by the door, watching for the bus, and just before that I had noticed her head snap up from looking at her feet, as if slightly startled, followed by her looking all around as if she had heard something.
Mr. Invisible Man was a make-believe nuisance that we blamed much of her clumsiness on when she was younger. The kid has a natural ability for tripping over nothing, falling down unexpectedly from a standing position, and dropping things even with a strong grip. Never would I have thought that Mr. Invisible Man now had a voice that she recognized, or that he was actually real to her.
Mira is a little girl with very deep thoughts. She ponders this kind of stuff all the time. Cordy has few questions about death and is scared of it, but Mira often asks about death, the idea of a soul, and remaining close to those we love when we die.
It was at the same time that my grandparents (whom I was very close to and Carson is named after) were in their final stages of life. They died a few months later. I always wonder if there was a connection.
Hi,
I just read your story. I know you posted this a long time ago but I have some experience with this. May I ask you if anything new has happened? I know some things and this exact same thing was happening to my girlfriends niece.
James.
This story sounded quite similar to what my little sister, Kira, now 10 has experienced at our parents' house which they moved into when she was about 3. Our grandmother died from a heart attack in the house and our grandpa died the next year in a hospital. He has played tricks on my mom in the past, like moving a dowl rod into the sliding glass door from a couple feet away, which locked her out while I was watching my sister on the other side of the house. He probably isn't what was messing with Kira when she was young, and what still disturbs her in memory now, though. When she was around 5 years old, she would hear these voices and people related sounds, which she called "The Invisible." They would talk using my dad's voice (who is a truck driver that is away for a few weeks at a time) when he was several states away, and my own voice while I was in college an hour and a half away. She also saw "Mr. Nobody" at this time, which was a face that would come out of the wall, especially out of places that are now covered up with family pictures, which seemed to stop it. We are also a family of agnostics, with parents that have allowed me to explore religion in my own way. She also has a strange pull toward what started out as Christianity (we live in the bible belt) but which has morphed into general spirituality. I wondered if what she was experiencing was real or not, as I was only coming for short visits on weekends, ect.,
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