I am confused about tuning schemes/scales and I do not find any handy answers to my particular questions. Maybe someone can offer an explanation or suggest where I could find some useful resources. I have already read some of the theoretical papers but my questions are not addressed.
First, I need/made a data base:
Equitemp. Just Int.
modern calculated calculated
293.66 293.55 294.33
329.63 329.65 327.03
349.23 349.27 348.7
392.00 391.92 392.44
440.00 440.06 436.13
Using "C4" as 261.63.
Notes in order D,E,F,G,A.
Assuming that my interpretation and arithmetic are correct, my questions are:
So what? Could musicians over the years consistently hear these slight differences and how about an untrained audience?
How did past musicians know how to tune for these subtle differences in frequency without benefit of measuring devices?
Have other instruments gone through similar evolution regarding tuning schemes?
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