Fretless versus Fretted

Now is it better to have fretless instruments which can play any
tuning at anytime, or a Fretted one?

In Just Intonation, what does "limit" refer to? I'm eager to learn.

Also, has anyone tried Irrational Ratio Intonation?
Like pi/3, pi/1, square root of 2/1, square root of 3/1, or even
square root of 2/suare root of 3?

Mathematically, it appears that 6 in 12tet (tritone) is square root of
2/1.

What about a standard notation that can accurately capture any tuning?
(freqeuncy,volume,time)
(440Hz, 25dB, 0-0.04s)?

Insanely Curious:
==
Alex J "Soleil Fou" Van Wey
Bassist, Philosopher, Romantic, and Satyr.


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