I'm with Andrew here, different op-amps 'can' sound different even when implemented to specification.
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I think most differences people hear are more than likely down to plain old poor implementation in certain circuits. An LM4562 requires very different decoupling to a 5532 for example, and has quite different out of band performance.
Totally agree with that.
Paraphrasing stuff I've spouted before, if you swap opamps - even those that are notionally compatible - you are not just changng one specification, but a whole bunch at the same time, for example:
-Slew rate
-PSRR, of both rails
-where the internal integrator is referenced (can fundamentally change how attached circuit works, and optimal decoupling routes)
- Decoupling requirements - both the above affect layout and values required.
-Input-referenced noise level due to bias currents (may or may not matter)
- Phase margin (stability) owing to GBWproduct limitation, requiring adjusted external compensation to match performance of the opamp you are replacing (level teh playing field)
- ditto owing to loading effects both in and out-of-band
-Tolerance of loading applied (depends on several things!)
... and that's just the obvious ones for a start. No wonder different opamps 'sound' different; most DIYers don't bother to try to experiment let alone optimise any of the above each time between swaps. Was is being played with isn't the difference between opamps, but the difference between opamp susceptibilities in the target circuit as a whole. Opamp swaps a level playing field? No, very far from it, even if the %thd numbers are 'beyond reproach' as most appear these days (hint: these things are always measured into
resistive loads)
For example - an opamp that has high bandwidth or very high open-loop output impedance or massive HF feedback or restricted output drive current could be poor choices in a filter circuit, or wherever the load is reactive (even a few pF). A circuit with a noisy raw supply could easily sound better with a 'worse' opamp with great PSRR than a better opamp with poor PSRR.. and so on and so on. Every pin on an opamp is effectively an input at some point in its operation.
This is why I don't recommend generic swaps anymore - it's a total lottery without rather more effort than 'unplug-plug'. Get the circuit working as well as you can via attention to PSU and layout and maybe parts/value optimisation, and then - only if you must - try rolling opamps.; IMO there is little there is to be gained when other more obvious problems are fixed.
[ - and still I cannot get LM4562s sound worth having, nor the single LME4xxxx versions

]