Subharmonics - undertone singing clips

Hello All (tuning folks: I'm back on finally!),

I made some wav clips of subharmonic singing examples that you can take
a listen to at the clips page of Spectral Voices' site:

http://www.compsol.net/users/jimcole/clips

I recently received a research paper from Sweden which suggests that
subharmonic vocal production happens when the vocal folds reinforce
vibrations in the ventricular folds (false cords) every other vibration,
or every third, or every fourth vibe etc. which corresponds to a
subharmonic series (mirror image of the harmonic overtone series).
Closer to home, some Dr's at Baystate Medical (MA, USA) have done some
prelim. research on my voice to find out how it works when I do harmonic
and subharmonic singing. I'll keep you posted on what we find. So far,
it seems the aratinoids (sp.? - structures above folds that control the
vocal fold movement) are involved in reinforcing the undertones. These
vibrations feel wonderful and alter consciousness when playing with
them. Sometimes I wonder who or what is creating this mysterious sound
and the sound becomes at times so complex and strange that I'm curious
what is in it - very meditative and transforming experience. I'd love
to continue exploring/contemplating these marvelous and astonishing
vibrations.

Please have a listen and I welcome any and all comments/feedback.

Enjoy,

~Jim Cole

From: Jim Cole <jimcole@compsol.net>

Oops! Sorry, I made an error in the link - let's try again:

Hello All (tuning folks: I'm back on finally!),

I made some wav clips of subharmonic singing examples that you can take
a listen to at the clips page of Spectral Voices' site:

http://www.compsol.net/users/jimcole/clips.htm

I recently received a research paper from Sweden which suggests that
subharmonic vocal production happens when the vocal folds reinforce
vibrations in the ventricular folds (false cords) every other vibration,
or every third, or every fourth vibe etc. which corresponds to a
subharmonic series (mirror image of the harmonic overtone series).
Closer to home, some Dr's at Baystate Medical (MA, USA) have done some
prelim. research on my voice to find out how it works when I do harmonic
and subharmonic singing. I'll keep you posted on what we find. So far,
it seems the aratinoids (sp.? - structures above folds that control the
vocal fold movement) are involved in reinforcing the undertones. These
vibrations feel wonderful and alter consciousness when playing with
them. Sometimes I wonder who or what is creating this mysterious sound
and the sound becomes at times so complex and strange that I'm curious
what is in it - very meditative and transforming experience. I'd love
to continue exploring/contemplating these marvelous and astonishing
vibrations.

Please have a listen and I welcome any and all comments/feedback.

Enjoy,

~Jim Cole

Jim-

Excellent! I've downloaded the clips and had a quick look at some
spectrograms. While I need to study them further, there was one thing I
noticed right away. Instead of generating subharmonic partials, what is
happening is that the main note you are singing is becomming the third
partial of a series with a fundamental a twelvth lower. What shows up on the
spectrogram is both a fifth and a twelvth below the principal sung note.
Fascinating stuff!

dante

Dante Rosati wrote,

>Jim-

>Excellent! I've downloaded the clips and had a quick look at some
>spectrograms. While I need to study them further, there was one thing I
>noticed right away. Instead of generating subharmonic partials, what is
>happening is that the main note you are singing is becomming the third
>partial of a series with a fundamental a twelvth lower.

Whew! Just as I expected. If Jim was indeed singing a "subharmonic series",
I would really look like an ass.

>From: "Paul H. Erlich" <PErlich@Acadian-Asset.com>
>
>Jim Cole wrote,
>
>>I forgot to ask last night if on the spectrogram there is the octave below
>the
>>principal sung note. I hear it and esp. before the octave and fifth below
>>principal note sung (hereafter "pns") kicks in.
>
>You would usually hear the octave below before hearing the twelfth below
>because period-2 behavior, followed by all powers of 2, usually occur
before
>period 3 in the progression from linear to more and more nonlinear
dynamics.
>You might still hear it, if you're trying to, after the twelfth below kicks
>in, since many of its harmonics are still present and strong, as harmonics
>of the new fundamental.
>
>>What puzzles me
>>also is that I don't hear "sub 4" (two octaves below pns) while
progressing
>from
>>sub 3 to sub 5.
>
>This too is explained by the fact that all powers of 2 usually occur before
>any powers of any odd numbers. All powers of 2 can fit within a finite
>portion of parameter space (along the axis which defines the "degree of
>nonlinearity") since each power of 2 occupies a range of parameter values
>that is 1/4.67 times smaller than that occupied by the previous power of
two
>(at least analytically in the typical case of a quadratic nonlinearity and
>experimentally in many physical situations). See
>http://www.cis.ohio-state.edu/hypertext/faq/usenet/sci/fractals-faq/faq-doc
-
>11.html for more info.

Thanks Paul for the explanations and reference. I tried the link above but
got a "not found on this server" message. Anyone else here able to access
it? I've been having trouble with my server frequently of late so I wonder
if that's the problem. I have ordered those books on chaos theory, fractals
and power laws that you (Paul) and others on this list have referred me to -
still waiting eagerly for them so that I might begin to understand the
theoretical and mathematical principles involved.

Check out Scientific American's Sept. issue - there's a feature on throat
singing. Here's the link online:

http://www.sciam.com/1999/0999issue/0999levin.html

~Jim Cole

Jim!
I have a mac so can't seem to play your samples but would love to hear
them. Would you be interested in trading a CD.
http://www.anaphoria.com/cd.html for three choices.

Jim Cole wrote:

>
> Hello All (tuning folks: I'm back on finally!),
>
> I made some wav clips of subharmonic singing examples that you can take
> a listen to at the clips page of Spectral Voices' site:
>
> http://www.compsol.net/users/jimcole/clips.htm
>
> I recently received a research paper from Sweden which suggests that
> subharmonic vocal production happens when the vocal folds reinforce
> vibrations in the ventricular folds (false cords) every other vibration,
> or every third, or every fourth vibe etc. which corresponds to a
> subharmonic series (mirror image of the harmonic overtone series).
> Closer to home, some Dr's at Baystate Medical (MA, USA) have done some
> prelim. research on my voice to find out how it works when I do harmonic
> and subharmonic singing. I'll keep you posted on what we find. So far,
> it seems the aratinoids (sp.? - structures above folds that control the
> vocal fold movement) are involved in reinforcing the undertones. These
> vibrations feel wonderful and alter consciousness when playing with
> them. Sometimes I wonder who or what is creating this mysterious sound
> and the sound becomes at times so complex and strange that I'm curious
> what is in it - very meditative and transforming experience. I'd love
> to continue exploring/contemplating these marvelous and astonishing
> vibrations.
>
> Please have a listen and I welcome any and all comments/feedback.
>
> Enjoy,
>
> ~Jim Cole
>
>

-- Kraig Grady
North American Embassy of Anaphoria Island
http://www.anaphoria.com