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Well I just tried both on my laptop. Neither is bandlimited. The i8253 path at 10kHz (i8253 -> HDA codec PCBEEP input -> line out) has harmonics up to at least 290kHz before I hit the noise floor, and the internal gen at 12kHz (HDA codec beepgen -> line out) goes beyond 1MHz (!).pic.twitter.com/QroMccNeNk
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Incidentally, that's 12kHz instead of 10kHz because the uber-crappy HDA internal generator works using an 8-bit divider from 12kHz (48kHz/4). Which makes PC Speaker music completely out of tune if played through it.
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