tuhinrao

Tried a lot of equatons and lot of webpages but to no avail.

The graph shows that there will be 2 values of n for every Y.

If a and b are the 2 values of n then 1 < a < e and e < b

When Y is minimum, Y=1. at that point a=b=e.

Other relations I found from above are:

a^b=b^a

a^(1/a)=b^1/b)

But these are of no use in finding 'a' if 'b' is given or vica versa.

So what is n in terms of Y explicitly? Is there a relation between a and b, such that knowing 'a', 'b' can be found out?

I am not a tuner, but have a piano and currently learing diploma repertoire. I have a nag of Physics and acoustics and like to know how things work. I have seen the pianotuner come and tune my upright piano, how does he do that?