Can I obtain the best phase response without measurement?

Can I obtain the best phase response without performing measurements?
"Best" ? No chance. (unless it's a full ranger LoL)

Close? Maybe, but only if we are talking about the very simplest of two-ways)
Multi-way speakers in general...forget it.
Also, how did the speaker manufacturers in the 70s and 80s (pre-1985) manipulate the phase response at that moment?
The better manufacturers? They measured in anechoic chambers, plotting sine wave responses by hand, then applied Fourier analysis again mostly by hand, or maybe used Time Delay Spectrometry if they were advanced / had the resources...
 
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FFT is used to derive the impulse response using the inverse of the measured frequency response amongst other things.

Computer based acoustical measurement techniques have been around since the 1960s, before that I suppose they would have used discrete amplitude and phase measurements at a number of frequencies and used math to graph FR /phase (basically a bode plot) and derive impulse response.

I second the recommendation to use UMIK-1 mic and recommend REW as a primary measurement tool. A cheap USB stereo dac is the other bit of kit required although some laptops have decent dacs and headphone outputs.
 
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