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Ben@VSL | IT & Product Specialist
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Javajam, I've put your audio clip into Melodyne Studio 4 to get a reasonably objective look at the pitches. From my experience and many laboratory-type tests using a calibrated external 10-digit counter/timer, I treat Melodyne's pitch detection as accurate only to within about ±3 cents, typically within ±2 cents. Nevertheless Melodyne - carefully used - is a very useful tool and it told me the following about your audio clip:
f4 Vib: -5 cents; f4 NoVib: +5 cents.
f#4 Vib: -14 cents: f#4 NoVib: +5 cents.
So I concur with you about the f#4 Vibrato being too far out of tune, even for a rich vibrato type of articulation which usually can cloak a lot of tuning sins.
f4 Vib: -5 cents; f4 NoVib: +5 cents.
f#4 Vib: -14 cents: f#4 NoVib: +5 cents.
F3: 350Hz (Regular) vs 348Hz (Cantabile) = 9.92 cents (your result = 10 cents)
F#3: 372Hz (Regular) vs 368Hz (Cantabile) = 18.72 cents (your result = 19 cents)
Furthermore, rich vibrato tends to go to higher pitch better than to a lower one indeed... And whatever it couldn't be a global 8 Violas low tune.
With global tuning @442Hz, accurate notes frequencies in equal tempered scale are:
F3 = 350.82Hz
F#3 = 371.68Hz
To sum up, F3 is 1/10th tone too low, F#3 is 1/5th tone too low, we're close to oriental scale there...
Best,
Alain