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What causes the mismatch between a calculated sine wave and a measured sine wave?

In Audacity, I generated a 700 Hz sine wave for 1 second, at amplitude 0.4. The bit rate is only 8000 samples per second. … expected to see when I opened the file: $v(n)=aM \sin\left({\dfrac{n\pi f_\mathrm{data}}{f_\mathrm{Nyquist}}}\right)$ $v(n)$ is the value of the sample written out as a 16-bit signed integer $a$ is the amplitude
Patrick O'Brien's user avatar