Assignment 6

Extracting the Trax

bachspec.png

The first note lasts from about samples 14 to 54
1st Harmonic: mean(F(2,14:54)) = 203.85
2nd Harmonic: mean(F(3,14:54)) = 409.08
3rdHarmonic: mean(F(4,14:54)) = 615.86
4th Harmonic: mean(F(1,14:54)) = 822.32

So the fundamental is about 204 Hz

Here's the resynthesized version
synthbach.wav
This is after multiplying frequencies by 2^{\frac{1}{6}} to raise it 2 semitones
synthbach-trans.wav

The new fundamental should be 204 \times 2^{\frac{1}{6}} = 228.98.
According to the spectrogram, it looks to be between 225 and 235

bachspec-trans.png

The first note of the transposed bach sample

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