till wrote:...
So if the pitchbend range is about a fifth (=700 cents), then the offset is 700*0.2/100 = 1.4 cent.
For an A = 440 Hz this is a offset of 0.366 Hz
...
gianluca13_2 wrote:...
Now try with two octave of amount you have 2400 cent and then 2400*0.389/100 = 9.3% ...
See the error in your calculation:
the result is not percent but (musical) cent.
Just write down your calculation with the units after the numbers
(as we were trained in the early school days)
So the result is
9.3 cent
One cent = 1/100 of a small second interval like from note A to A sharp.
Therefor the error in pitch in your 2 octave pitchbend example
is not 40.92 Hz !!!
(this would be about a whole step and would be noticed by everybody not being deaf)
100 cent = frequency shift by the factor of the (12th root of 2) = about 1.05946
(the 12th root of 2 is the formular for a small second interval in our well tempered scale in western music.
The 12th root of (2 by the power of 12) is a whole octave = factor 2)
440 Hz (note A) * 1.05946 (factor for 100 cent) = 466.16376 Hz (note A sharp)
1 cent (in this interval) = (466.16376 Hz - 440 Hz) / 100 = 0.26164 Hz
And so your example's 9.3 cent offset equals 0.26164 Hz * 9.3 =
2.43325 Hz (and not 40.92 Hz !!!)
And this is not so much. Of cause you can here a 2.43325 Hz beating to a reference frequency without the offset. But you will like not notice this in a multiple track recording at all (unless you are a really trained musician).
gianluca13_2 wrote:... I’m a electronic engineer I make hardware and software from a lot of years ...
And I am
just a master carpenter, but I know the difference of percent and musical cents
Sorry to all here that get borred by those calculations 