I find 4000 a big put-off. Are there that many scales in use worldwide?? If it were a few hundred one could at least make some headway. My guess is that most of them are some kind of mathematical experiments.
The problem as I see it is like this:
Mathematically: The number of scales is worse than uncountably infinite (powerset of R). So for mathematical tractability one needs to work with genera, eg
- Equal tempered scales (not necessarily only 12 notes)
- Well tempered scales (all/notes usable, all subtly different aka Bach's WTC)
- Meantones
- Justs with various cut-off rules
And then criteria for 'badness'
http://x31eq.com/badness.pdf for comparing these
Musician-ly: This is a pain. I just want better sound than ET. And a few rules of thumb to make sensible choices.
Personally I can say that after I got my keyboards with a handful of
tunings a new world has opened to me. If only I could have done some
of that with timidity/fluidsynth...
Rusi
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