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General audio topics that don't fit into specific categories.

Most of these properties correlate with measurable phenomena

A number of good examples -- odd harmonic distortion, compression of various sorts, phase error -- have been cited by other respondents.

People who spend a lot of time listening AND testing (including most professional audio engineers, many DIYers, and technically literate reviewers like John Atkinson) develop an acute sense of how a suite of measurements correlates with the sonic properties of a piece of gear, at least to THEIR ears. They can look at the measurements and predict with a fair degree of accuracy the audible effects thereof, or conversely can listen and hear at least the major anomalies (distortions, phase errors) which can then be revealed precisely by appropriate measurements.

Of course, some measurements are easier to make than others. Those done strictly on the test bench, as of amplifiers, DACs, and digital sources, are likely to be the most accurate since there is no variable ambient sound field to confuse matters. Any low-level distortions or nonlinearities that turn up in these measurements can be precisely identified, and their predictable effects on test and music signals can then be listened for.

Speakers are more of a problem, if you don't have access to a real anechoic chamber. But quasi-anechoic measurements can still tell you a LOT about on and off-axis response, impulse response, spectral decay, phase linearity, distortion, etc. And these in turn can predict a LOT about soundstaging, imaging, timbral balance and quality, and overall resolution.



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