Repeating one of my question here - as it seems it got missed or ignored

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There is any reliable way to measure timbre?
Also just to confirm on soundstage - considering it is a very important part of music (atleast for me) - did I understand correctly that no measurement can represent soundstage perception?
About Timbre:
I personally have never studied/known of any measurement method that accurately measures timbre. But from whatever I have read, it is a complex auditory attribute which (from the point of view of a loudspeaker trying to reproduce timbre accurately) depends on a number of different factors including the time domain performance of the speaker (impulse response/step response), its frequency domain performance (the on and off-axes responses), compression performance, energy decay and resonances, and because the perceived timbre also depends on an amount of spatial averaging, it will also depend on the room. So, for a Piano to sound like a piano and for a violin to sound like a violin through a speaker, the design engineer needs to have a comprehensive set of accurate measurements. Then a brain and a good set of ears to understand the analyze the spatio-temporal intensity variation across the spectrum.
Here is an insightful video showing the intensity distribution in the time frequency plane when different instruments are played:
Things to note are the harmonic structure when the same note is played on different instruments and their relative intensities, the attack (sudden rise in intensities of certain tones(frequencies)) and decay (slow degradation in the intensity) of the sound. The above details vary from instrument to instrument and thereby make them sound different to our ears.
In fact, because of the complex nature of timbre, the selection of drivers that play the different frequency ranges and even the order of filters employed in crossover needs attention. For example, there has often been discussions about why complementary LR2 (Linkwitz-Riley, 2nd order, acoustic) filters are able to convey sounds of a piano (sounds better) properly compared to complementary LR4 (Linkwitz-Riley, 4th order, acoustic) filters (makes the spinorama looks better) when they are employed in the crossover between the woofer and the mid. Answer was in the difference in time domain performance of these filters.
About Soundstage vs imaging tradeoff
One of the single most important metrics that differentiate between different speakers ability to throw a soundstage while sort of conveying the imaging convincingly is the directivity response of the speaker. higher the directivity, lesser the soundstage and (if the overall acoustic construct/transducers are good enough) better the imaging. There is always a balance between soundstage and imaging that designers try to achieve while designing a loudspeaker. Then comes the room and its treatment.
This is exactly one of the reasons why, for objectively analyzing a loudspeaker, one needs a comprehensive suite of measurements. The often shown as 'be all, end all' "Spinorama" is an incomplete set of data. One needs a lot more to understand more about a loudspeaker's design.
If not interested in all the above theoretrical/measurement related aspects, one can always trust one's ears
