More thinking: if all the resistors in the R:2R have the same temp coefficient, nothing should change. If the rungs and the rails have different temp coefficients, then we would get harmonic distortion.
As long as one clock is MCLK, shouldn’t the sound be slight out of tune but otherwise distortion free?
Average clock frequency isn't the problem as much as the jitter. I would say that within the chip the resistors can heat up unevenly. Tbh I'm pulling at straws myself, but the end result is hard to deny.
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