INDEX

Planetary Art Network 
*SCIENCE-ART-HEALTH*

"BIOSONIC"

EXACTNESS OF THE BIOSONIC PROGRAM
FFT VERSUS CHROMATIC MODULES,
The Biosonic Chromatic module picks up the fundamental frequency, the same as the Korg or other chromatic tuners, these are the sounds of vowels from the vocal chords. The FFT Fourrier Frequency Transform type of analysis picks up all frequencies, the fundamental as well as their harmonics, as most of the time the fundamental is less ample than their harmonics, as these are modulated by the facial movement, toungue and mouth, at times the fundamental frequencies do not appear properly in the FFT type analysis and it is hard to distinguish this one from its harmonics. To differientiate the fundamental frequency with its harmonics is essential to analize how a frequency rises up octaves, mostly when we will be able to relate the above octaves to emotional, mental and spiritual issues, we will see how a vowel sound, that talks about the physical energy in the chromatic, is expressed in the emotional or mental levels through its harmonics.
In the second module of the BIOSONIC program for FFT analysis we will be able to compare both and distinguish the fundamental in the FFT, and then analyse its harmonics.
This is an example that serves as proof or the exact measurements and that the BIOSONIC PROGRAM only picks up the fundamental frequency, I will go through how I did the test with the Cool Edit program, Biosonic Program and STS for FFT analysis.

First I created a wav file with the CoolEDIT,, you can see in the screen the frequency been generated is 200.454 hz, on the center of the Generate tones screen where it says frequency components are the harmonics amplitude that we give when generating the tones, you see the fundamental frequency 1 has a very low amplitude, then the next 2nd and 4th harmonic also a los amplitude and teh 3rd and 5th harmonic quite a large amplitude. in the STS we can see smaller the 200 hz, from the fundamental. and in the Cromatic screen of the Biosonic Program and Frequency window we see exactly the number 200.454 hz, the exact hertz that were created.  The Chromatic could have shown the harmonics 400, 600, 800, and 1000 hz of all the harmonics,,,, but it did not,,,, only showed the first frequency which is the fundamental,,,, meanwhile the harmonics have clearly much more amplitude.  THe STS only shows a few harmonics because its screen only show a small range coming from Octave+1,,, it finishes in the harmonic of 600 hz.

We still have a resolution problem with these type analysis, we are using sound cards of 16 bit 44800 hz. and we will be able to
reach more exactitude and resolution when we can commercially use cards of 24 bit and 96000 hz.  which now start to become
at a reasonable prize and many musicians have these.   At the actual resolution of our sound card we still have some error of
resolution and we have calculated the errors in the BioSonic Chromatic analysis, no matter if we show 4 decimals because of
this problem the windowing sampling gives us a range of frequencies and tends to give us decimals within that range.
These are the calculated error,  the two decimals can be trusted coming from the -3 and -2 Octaves, the 1 decimal can be
trusted coming from the -1 and Mid C 0 octaves, the exact hertz can be trusted coming from the +1 and +2 octaves, meanwhile
only a close relation to 2 hertz can be trusted in the +3 octave.

With the FFT we hope to overcome better this problem and be able to reach an error of 0.04 instead, meanwhile the actual programs for voice analysis in FFT are within a 0.16 margin in  error.
 

The fundamental frequency comes from the vocal chords,,, and the sound of vowels,, meanwhile the consonants are silent hissing sounds,,, I can demonstrate this with the small 2nd module I have of the program,, and I have included it in the manual.

NEXT GRAPHIC SHOWS THE PROOF THAT THE BIOSONIC PROGRAM PICKS UP THE FUNDAMENTAL FREQUENCIES.
With the Coll Edit program was generated a Wav file in Generate Tones , and the fundamental frequency is at a very small amplitude as one can observe the amplitude is set at a very low volume for 200hz, the 3rd and 5th harmonic are set at maximum volume or amplitude.. and the BioSonic frequency window only shows the fundamental frequency of 200.454 hz.
This will not happen in such a clear manner when we use lower frequencies, but it does portray this with such low amplitude of the fundamental frequencies for octaves Mid C, and -1 octaves,,, for -2 octave the amplitude of the fundamental frequency has to have a higher amplitude to be picked up by the BioSonic program and for lower octaves than this even higher amplitud, if not the BioSonic program might pick up the higher amplitude harmonic.

In the next graphic we see CoolEdit creatins 150 hertz and how the Biosonic Frequency window has given the exact frequency the first fundamental frequency,, meanwhile in the CoolEdit Generating tones at the same amplitude we generated the 3rd and 5th harmonic, the Chromatic does not show it and the STS FFT window will show these harmonics.

Now in this new graphic we see 40.5 hertz has been generated with no harmonics in the Cool Edit generating Tones indow,,, the BioSonic frequency window will show it with much exactitude and the STS FFT window will show this one in a more aproximation as well as its harmonics.  Even if these where not generated with Cool Edit... Just by maintaining a frequency for a while it will give its harmonics.

THis third graphic shows how exact the BioSonic program shows the frequencies even down to 32.5 hertz, at times it is 32.5221 and others 32.4742, this is very good for such a low frequency.  It shows it with more exactness than the STS FFT where it shows 33.26 hz.

BIOSONIC PROGRAM PROOF THAT PICKS UP FUNDAMENTAL FREQUENCY
This is an example that serves as proof or the exact measurements and that the BIOSONIC PROGRAM only picks up the fundamental frequency, I will go through how I did the test with the Cool Edit program, Biosonic Program and STS for FFT analysis.
First I created a wav file with the CoolEDIT,, you can see in the screen the frequency been generated is 200.454 hz, on the center of the Generate tones screen where it says frequency components are the harmonics amplitude that we give when generating the tones, you see the fundamental frequency 1 has a very low amplitude, then the next 2nd and 4th harmonic also a los amplitude and teh 3rd and 5th harmonic quite a large amplitude. in the STS we can see smaller the 200 hz, from the fundamental. and in the Cromatic screen of the Biosonic Program and Frequency window we see exactly the number 200.454 hz, the exact hertz that were created. The Chromatic could have shown the harmonics 400, 600, 800, and 1000 hz of all the harmonics,,,, but it did not,,,, only showed the first frequency which is the fundamental,,,, meanwhile the harmonics have clearly much more amplitude. THe STS only shows a few harmonics because its screen only show a small range coming from Octave+1,,, it finishes in the harmonic of 600 hz.

If we created the fundamental frequency in such low amplitude as it is here shown with 200hz, or below 80 hz. it will not recognize it, and if then the harmonics where generated in these low frequency with so much amplitude and strength it might pick up that harmonic as a fundamental frequency, but we can trust completely that it will pick up the fundamental frequencies in the the range of the human voice above 50 hz.  even if the fundamental is much lower in amplitude than its harmonics.

For more understanding on the difference between FFT and Chromatic analysis go to the pages on FFT vowels.

 

HOW WE STARTED TO LOOK FOR THE MAIN OCTAVE FROM THE FFT MODULE

I wanted to have a Chromatic style analysis that would give us the Main Octave but with more resolution, because the Korg Chromatic tuner would miss many hits, and even more with low mens voices. We started doing an FFT that would pick up the most ample frequency and place it into the corresponding cellbox for the corresponding note and octave. Then what we found was not the same as what expected or analysed before with the Korg, The Main Octave seemed to have risen one whole octave, wimen would have a childs voice, and men would have a womans voice. When you hear the notes in the Mid C octave it is clear that wimen had lower voices than that. Then we realized that the frequency with most amplitude most of the times was the 3rd and others the 5th harmonic, few times it was the first or fundamental frequency. Tha is the reason we did more tests with the Korg to understand how we could give more potency to the fundamental frequency, and then we came up with the way to pick it up directly from the wav, without needing an FFT type analysis. Here we have the voice of a woman with the first BioSonic FFT module which is very coherent as we can see in the graphic below these lines we can still recognize the main octave, but the G, G# A are higher in its first harmonic in a higher octave MidC instead of -1 octave. Anothe example of a mans voice will give us the -1 and Mid C octaves as the Main octaves with more hits, insteas as what it shows in the graphic below of the program we have now, where a mans voice is naturally in the -2 ands -1 octaves. Because it is not coherent it is also hard to decipher the Main Octave from this analysis.