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There are way too many variables to measure

You're acting like a study could answer these questions, but study design would never allow proper testing of all the variables. For example, on multitrack recordings, each track (instrument or vocal) has a certain polarity associated with it that may be different than the polarity associated with another track (instrument or vocal) or all the other tracks. You may be testing variables such as attention to detail in recording/mixing/producing rather than simply real instruments vs recorded instrument media.

Regarding the theoretical issues of SACD vs LP, I think most LPs provide up to 20 kHz upper frequency while SACD can provide higher frequencies. Many musical instruments, e.g., trumpet has overtones measured at greater than 20 kHz too. The noise-shaping of DSD pushes a lot of the garbage above this threshold so who knows how "realistic" it is, but the mere presence of it may trick the ear into thinking it's hearing a real instrument since the range is ultrasonic regardless.

See the work of James Boyk.



Edits: 03/01/15

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