Author: gatto
Date: 2018-10-24 17:44
I don't see that there is still a problem. The equation f2=1.011619 x f1 in Dan's last post says it. The value of the difference between f2 and f1, that is, f2-f1, depends of course on the value of f1. Although the factor corresponding to +20 cents is constant.
If I want to see how good (or bad) my intonation is, over the entire range of the instrument, then clearly I am only interested in cents, NOT Hz, since the cents describe my failure much better, and independent of the value of the note itself. For instance, I could say, that I am happy that my intonation over the entire range lies between -2 and +5 cents. I could not express a similar statement in terms of frequencies.
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