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

This time, rather than silence, I'm examining a sine wave I generated. 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. … More saliently, if I were to generate a sine wave from a list of integers ab initio, but didn't do this weird 256 stuff, would there be any issues due to those not being there? …