The problem you have here is you need to ask what are you quantifying? Stereo image is a complete illusion. It's fabricated by the choices of the recording engineer, producer and artist. Microphones simply don't capture sound in the way we hear it in a real space. They don't do the processing our brains do so you will never hear the real positioning of instruments as you would when you are there in person.
Even simple 2 mic positioning and spacing can lead to quite different effects. Here are 3 files of me walking around a pair of stereo mics in different configurations. ORTF, SSP and XY.
https://1drv.ms/u/s!AnQ0c7fb_4zLgQx2nPioseeakE1O?e=ZaGtHE
https://1drv.ms/u/s!AnQ0c7fb_4zLgQtRnKPw21753Gvt?e=4WdaVN
https://1drv.ms/u/s!AnQ0c7fb_4zLgQ2YfRBxAtRrciVR?e=ZLahzJ
Most studio recordings are mixed and panned. The producer places the instrument where they want and can add effects to give the illusion of more of a 3d positioning.
Beyond this the acoustics of your room and speaker dispertion characteristics play a role.
Even simple 2 mic positioning and spacing can lead to quite different effects. Here are 3 files of me walking around a pair of stereo mics in different configurations. ORTF, SSP and XY.
https://1drv.ms/u/s!AnQ0c7fb_4zLgQx2nPioseeakE1O?e=ZaGtHE
https://1drv.ms/u/s!AnQ0c7fb_4zLgQtRnKPw21753Gvt?e=4WdaVN
https://1drv.ms/u/s!AnQ0c7fb_4zLgQ2YfRBxAtRrciVR?e=ZLahzJ
Most studio recordings are mixed and panned. The producer places the instrument where they want and can add effects to give the illusion of more of a 3d positioning.
Beyond this the acoustics of your room and speaker dispertion characteristics play a role.
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