To be honest... I think the 432Hz idea is one of those fads that gain traction on the internet... in the past (and this is only speaking of Western music from 1600s onwards) we've had a range of A pitches ranging from below 392 Hz for the French Baroque to the Choir tones of Central Europe at over 466Hz... and everything in between depending on location and time. Modern day pitch is between 440Hz and 445 Hz depending on location and group... 432Hz sounds more "relaxed"if you are used to 440Hz... but as I tend to play at 415Hz or 430 Hz for most of my work, it sounds less "relaxed" to me! It is really a matter of what you are used to and not at all a universal truth.... it is a sort of subjective thing, where someone can easily use "whoooo" to impress a lay audience.

More important is the idea of temperaments and the solutions to the problem of the circle of fifths (at least in Western Music, other cultures have different solutions and problems). The modern solution is one of equality of tones and keys.... the older eras had very in tune keys and very out of tune keys depending on where you would place the wolf tone... and how you spread it out between the cycle of fifths.