Re: 432 Hz Pythagorus tuning vs standard 440 Hz tuning
Well,this is the hardest test against the Pythagoras tuning(also called "just tuning").Note that here is the difference in note pitch relations,and NOT a 432 vs 440 test.Same piece,same base scale note hertz tuning,same performance (midi file) and same instrument (sine waves),same volume.In physical instruments difference is somewhat bigger because of the larger harmonic complexity.Difference is also bigger for more polyphony and complex arrangements.Try to notice the difference in the feel of the melodies (for example try to notice the pitch relation of long sustaining notes to the musical context) and tension where 2 or more notes sound together(polyphonic parts,for example thirds ring dessonantly in equal temperament and many more).I personally feel the western way of classical tuning IS a major compromise,BUT,trying to have a correct pythagorean tuning with all fretted instruments,winds,piano etc for more than one scale is a practical and technical nightmare,even worst in a band context where many different instruments play together,so until a practical solution is found about this,well,that's the intonation and musicality we can have.
Pythagorean tuning
https://www.youtube.com/watch?v=hq-SrgV7_Ow
Modern Equal Temperament tuning
https://www.youtube.com/watch?v=c6XkgNT20Eg
Although the same instrument plays both parts,the first clip sounds a little more musical,and harmonically better,also at times a little louder in certain polyphonic note combinations.If you can't hear the difference,you aren't paying enough attention,most people do.
I'll say once again that this is a test that favors equal temperament tuning.