Can you explain to me how this pool http://tunecrypto.com differs from this pool http://pool.tunecrypto.com?
And how does the tune differ from tune-r?

An interesting discovery
Basically, it is 1
Just different writing

But they have different hashrate

They are different.

And http://tunecrypto.com is about TUNE-R, the new wallet.

Judging by the way these pools are marked on the official site, one for the nicehash, second is for the usual miners. So the question is closed.

MegaFPyKT