The Harry Partch Instrumentarium (2012)
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For some kinds of music this doesn't matter and alternative tuning systems could allow the composer to realise their goals more effectively.
And after going through heroic efforts to get the ratios of notes exact, you're probably going to want to add a little vibrato or chorus effect to give it more warmth and character. So it's self-defeating in a way.
Nonetheless, the exploration of alternate tunings can be fascinating.